Use the number line to answer the question. Each tick represents 1.Which point is located at 2?PQSnone of the above

Use The Number Line To Answer The Question. Each Tick Represents 1.Which Point Is Located At 2?PQSnone

Answers

Answer 1

Given that each tick represents 1. The numbers on the right of 0 are positiv and on the left of 0 are negative. SInce 2 is positive, 2 lies on the right side of 0.

Since each tick represents 1, the first tick represents 0+1 = 1.

Now, the second tick represents 0 + 2 = 2. The second tick on the right of 0 denoted as S.

The correct option is S.


Related Questions

Given {(-1,4),(-1,9),(-1,15),(-1,0)}Find the following.Domain=Range-Determine if it is a Function or Not?

Answers

Given the relation:

[tex]\left\{ \left(-1,4\right),\left(-1,9\right),\left(-1,15\right),\left(-1,0\right)\right\} [/tex]

The domain of the relation is the set of all values of x.

Therefore:

[tex]\text{Domain}=\left\lbrace -1\right\rbrace [/tex]

The range of the relation is the set of all values of f(x) or y. The range is:

[tex]\text{Range}=\left\lbrace 0,4,9,15\right\rbrace [/tex]

For a relation to be a function, it must have no more than one y value for each x value.

Since the given relation has more than one y value for each x value, it is NOT A FUNCTION.

Emiliano sold half of his comic books and then bought 16 more.He now has 36. How many did he begin with? Write and equation to represent the problem.

Answers

N = original number of comic books

N/2 = number of comic books after he sold half of his collection

N/2 + 16 = number of comic books after he bought 16 more

N/2 + 16 = 36

Solving for N:

[tex]\frac{N}{2}+16\text{ = 36}\Longrightarrow\frac{N}{2}=36-16\text{ = 20 }\Longrightarrow\frac{N}{2}=20\Longrightarrow N\text{ = 20 }\cdot\text{ 2=40}\Longrightarrow\text{ N = 40}[/tex]

Answers:

He began with 40 comic books

Equation to represent the problem: N/2 + 16 = 36

need help with a question

Answers

Let's go over each of the expressions and see if they are equal to 1/8

[tex]2^{-3}=\frac{1}{2^3}=\frac{1}{8}[/tex]

So A is equivalent

[tex](-8)^1=-8[/tex]

So B is not equivalent

[tex](\frac{32}{4})^{-1}=\frac{1}{\frac{32}{4}}=\frac{4}{32}=\frac{1}{8}[/tex]

So C is equivalent

[tex]8^8-8^9=-117440512[/tex]

So D is not equivalent

[tex]\frac{8^8}{8^9}=8^{8-9}=8^{-1}=\frac{1}{8}[/tex]

So E is equivalent

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9. Marty wants to buy a gallon of lemonade, and a gallon jug costs $3.89, while a pint costs $0.59. He wants to know how much money he would save by buying the gallon jug instead of multiple pints. (3 points: Part I - 1 point; Part II - 1 point; Part III - 1 point)Part I: How many pints are in a gallon?Part II: How much money would Marty spend if he bought multiple pints?Part III: How much money would Marty save by buying the gallon jug instead of multiple pints?

Answers

Part I. In a gallon, there are 8 pints.

Part II. If Marty bought multiple pints, he will spend:

[tex]8\text{ pints}\cdot0.59=\text{ \$4.72}[/tex]

Part III. Marty would save:

[tex]4.72-3.89=\text{ \$0.83}[/tex]

Marty would save $0.83 by buying the gallon jug instead of multiple pints.

Daniel's BAC, B, after drinking can be determined using the formula B - 0,08 - 0.016Nhere N is the number of hours that have elapsed since drinking, What is Daniel's BACNer 3 hours and 15 minutes?

Answers

[tex]B=0.028[/tex]

1) Firstly, We need to convert 3 hours and 15 min into decimal. So, we can write out the following:

[tex]\begin{gathered} 3+\frac{15}{60} \\ 3\frac{1}{4}=3.25 \end{gathered}[/tex]

2) As our second step, we can plug into the formula the number we just found:

[tex]\begin{gathered} B=0.08-0.016N \\ B=0.08-0.016(3.25)\Rightarrow B=0.08-0.052 \\ B=0.028 \end{gathered}[/tex]

So Daniel's BAC after 3 hours and 15 minutes drinking is

Can someone help me identify these things this is geometry

Answers

(a)

The rays are opposite if angle between the two rays in 180 degree. So ray AB and ray CB is a pair of opposite ray.

(b)

When two line intersect each other then angle lies on opposite side od the intersecting points are termed as vertical angles. So a pair of vertical angle is angle ABD and angle mBC.

(c)

The plane can be named by three points lying on the plane. So other name of plane P is EBC.

(d)

The colinear points always lies in a striaght line. So point A, point B and point C are collinear points.

(e)

The angles whose sum is equal to 180 degree are called linear pair of angle. So angle ABD and angle CBD are linear pair of angles.

the sum of two numbers is 70 and their difference is 30 ,Find the two numbers using the process of substitution let x=the first number and y=the second number.

Answers

Let the first number be x and the second number be y.

Since the sum of the numbers is 70, it follows that the equation that shows the sum of the numbers is:

[tex]x+y=70[/tex]

The difference between the two numbers is 30, hence, the equation that shows the difference is:

[tex]x-y=30[/tex]

The system of equations is:

[tex]\begin{cases}x+y={70} \\ x-y={30}\end{cases}[/tex]

Make x the subject of the first equation:

[tex]x=70-y[/tex]

Substitute this into the second equation:

[tex]\begin{gathered} 70-y-y=30 \\ \Rightarrow70-2y=30 \\ \Rightarrow-2y=30-70 \\ \Rightarrow-2y=-40 \\ \Rightarrow\frac{-2y}{-2}=\frac{-40}{-2} \\ \Rightarrow y=20 \end{gathered}[/tex]

The second number is 20.

Substitute y=20 into the equation x=70-y to find x:

[tex]x=70-20=50[/tex]

Answers:

The equation that shows the sum of the numbers is x+y=70.

The equation that shows the difference between the numbers is x-y=30.

The numbers are x=50 and y=20.

When rolling a pair of dice, find the probability that the sum is less than five and even.

Answers

In order to obtain the solution for this question, we need to find the sample space for 2 dice, which is given by:

As we can note, there are 36 events and there are 4 events which sum is less than five and even:

Since the probability is defined as the number of possible outcomes divided by the total number of outcomes, we have

[tex]P(\text{ sum less than 5 and even\rparen=}\frac{4}{36}[/tex]

By simplifying this result, the answer is:

[tex]P(\text{ less than 5 and even\rparen=}\frac{1}{9}[/tex]

For the following find the Range:{(₁-2, 4), (3,-2), (1,0), (-2, -2), (0, 6)}

Answers

Explanation

The range represents the y-value of the given points

Answer:

[tex]Range=(-2,0,4,6)[/tex]

Ms Martins has lockers for the students to store their things. The volume of the lockerd is 40 feet if the base is 4 by 2 feet how tall are the lockers

Answers

The volume of the lockerd is 40 feet ^3

If the base is 4 feet by 2 feet .

How tall are the lockers​?

SOLUTION

Volume = Length x Width x Height

40 = L X 4 x 2

40 = L X 8

Divide both sides by 8

L = 5 feet

The locker is 5 feet

Which of the following values have 2 significant figures? Check all that apply.A. 40B.12C.1,200D. 1,001

Answers

A and B have 2 significant

The area of a circle is 100 square millimeters. What is the circumference?

Answers

[tex]\begin{gathered} Area\text{ of circle = }\pi r^2 \\ 100=3.14r^2 \\ r^2=\frac{100}{3.14} \\ r^2=31.85 \\ r=\sqrt[]{31.85} \\ r=5.64\text{ mm} \end{gathered}[/tex][tex]\begin{gathered} \text{The circumference of a circle = 2}\pi r \\ =\text{ 2 x 3.14 x 5.64} \\ =35.42\text{ mm }\cong35.4\text{ mm (1 decimal place)} \end{gathered}[/tex]

Please help me with this rectangle problem they always give me trouble

Answers

Hello there. To solve this question, we'll have to remember some properties about rectangles.

A rectangle is a quadrilateral polygon (that is, it has 4 right angles in its corners) and two parallel sides.

The special cases of quadrilaterals are the parallelogram, that has two parallel sides but the angles might not be right angles and the square, in which the sides are equal.

In the case of the rectangle, it has a side with length L and other side, that we call its width, with length W, as in the following drawing:

Its area A can be calculated taking the product between the length and the width, therefore:

[tex]A=L\cdot W[/tex]

With this, we can solve this question.

It says that a rectangle is 15 ft longer than it is wide. Its area is 2700 ft². We have to determine its dimensions.

Say this rectangle has width W.

If this rectangle is 15 ft longer than it is wide, it means that

[tex]L=15+W[/tex]

Now, we plug this values for the formula of area, knowing that A = 2700:

[tex]\begin{gathered} A=L\cdot W=(15+W)\cdot W \\ \end{gathered}[/tex]

Apply the FOIL

[tex]2700=15W+W^2[/tex]

In this case, we have a quadratic equation in W.

We'll solve it by completing the square, that is, finding a perfect trinomial square such that we can undo the binomial expansion and solve a simpler quadratic equation.

The binomial expansion (a + b)² gives us

[tex]a^2+2ab+b^2[/tex]

So to find the b we need to complete the square, we start dividing the middle term by 2.

In the case of our equation, the middle term has coefficient 15, hence

[tex]b=\dfrac{15}{2}[/tex]

Square the number and add it on both sides of the equation, such that

[tex]\begin{gathered} 2700+\left(\dfrac{15}{2}\right)^2=\left(\dfrac{15}{2}\right)^2+2\cdot\dfrac{15}{2}\cdot W+W^2 \\ \\ 2700+\dfrac{225}{4}=\dfrac{11025}{4}=\left(W+\dfrac{15}{2}\right)^2 \end{gathered}[/tex]

Take the square root on both sides of the equation, knowing that 11025 = 105²

[tex]W+\dfrac{15}{2}=\sqrt{\dfrac{11025}{4}}=\sqrt{\left(\dfrac{105}{2}\right)^2}=\dfrac{105}{2}[/tex]

Subtract 15/2 on both sides of the equation

[tex]W=\dfrac{105}{2}-\dfrac{15}{2}=\dfrac{105-15}{2}=\dfrac{90}{2}=45[/tex]

Then we plug this value in the expression for L, hence we get:

[tex]L=15+W=15+45=60[/tex]

Notice that multiplying the numbers, we'll get:

[tex]L\cdot W=60\cdot45=2700[/tex]

That is exactly the area we had before.

Hence we say that its width equals 45 ft and its length equals 60 ft.

Select the best answer for the question. 3. What is 996 times 32? O A. 29,880 B. 31,680 C. 31,872 D. 51,792

Answers

First, write the factors 996 and 32 in the following arrangement:

Next, take the last digit of 32, which is 2, and multiply it by 996. To do so, first, multiply 2 times 6:

[tex]2\times6=12[/tex]

Write the units below the column of the 6, and save the remaining 10 units to be added in the next step.

Next, multiply 2 by the next digit from right to left of 996, which is 9:

[tex]2\times9=18[/tex]

Add 1 to the result, since it was a remainder from the last operation:

[tex]18+1=19[/tex]

Write a 9 below the second colum, and save the remaining 10 units to be added on the next step.

Repeat the procedure for the third digit of 996 from right to left, which is 9.

[tex]2\times9=18[/tex][tex]18+1=19[/tex]

Since there are no more digits from the upper number, write 19 below the third colum.

Now, repeat the procedure with the next digit from the lower number (32), which is 3. Write the result one place shifted to the left.

[tex]3\times6=18[/tex]

Next, move to the next digit from right to left of the upper number, which is 9:

[tex]3\times9=27[/tex][tex]27+1=28[/tex]

Next, move to the next and last digit from right to left of the upper number, which is 9:

[tex]\begin{gathered} 3\times9=27 \\ 27+2=29 \end{gathered}[/tex]

Fill the blank space at the right of the last row with a 0 and add both numbers:

[tex]1992+29880=31872[/tex]

Therefore:

[tex]996\times32=31872[/tex]

can u help me with this by using inverse trig.ratios. Find angle A and angle B.

Answers

The hypotenuse is 39 because is opposite to the angle of 90 degrees.

So, angle A is given by

[tex]\measuredangle A=\sin ^{-1}\frac{7}{39}[/tex]

Then, we have

[tex]\measuredangle A=\sin ^{-1}(0.17948)[/tex]

which gives

[tex]\measuredangle A=10.339\text{ degre}es[/tex]

Now, angle C is equal to 90 degrees and angle B is given by

[tex]\begin{gathered} \measuredangle B=\cos ^{-1}(\frac{7}{39}) \\ \measuredangle B=\cos ^{-1}(0.17948) \\ \measuredangle B=79.66\text{ degr}ees \end{gathered}[/tex]

Therefore, the answer is

[tex]\begin{gathered} \measuredangle A=10.339\text{ degre}es \\ \measuredangle B=79.669\text{ degre}es \\ \measuredangle C=90\text{ degre}es \end{gathered}[/tex]

Choose each conversion factor that relates cups to fluid Ounces.A. 8 fl oz/ 1cB. 8c/ 1 fl ozC. 1 fl oz/ 8 cD. 1 c/ 8 fl oz

Answers

Answers:

A. 8 fl oz/ 1c

D. D. 1 c/ 8 fl oz​

Explanation:

1 cup is equal to 8 fluid ounces, so the conversion factors that relate these units are factors that keep the same equivalence. So, the conversion factors are:

A. 8 fl oz/ 1c

D. D. 1 c/ 8 fl oz​

Suppose logex = 3, log y = 7, and logz= -2.Find the value of the following expression.loga42

Answers

[tex]\begin{gathered} \log _ax=3 \\ \log _ay=7 \\ \log _az=-2 \end{gathered}[/tex]

Therefore,

[tex]\begin{gathered} \log _ax^3+\log _ay-\log _az^4=\log _a(\frac{x^3y}{z^4}) \\ 3\log _ax^{}+\log _ay-4\log _az=3(3)+7-4(-2)=9+7-8=8 \end{gathered}[/tex]

Find the slope & y-intercept: x + 2y –9= 0

Answers

Explanation

we have

[tex]x+2y-9=0[/tex]

to know the slope and the y-intercept the easiest way is by isolating y to get the slope-intercept form

Step 1

isolate y

[tex]\begin{gathered} x+2y-9=0 \\ add\text{9 in both sides} \\ x+2y-9+9=0+9 \\ x+2y=9 \\ \text{subtract x in both sides} \\ x+2y-x=9-x \\ 2y=9-x \\ \text{divide both sides by 2} \\ \frac{2y}{2}=\frac{9}{2}-\frac{x}{2} \\ y=-\frac{1}{2}x+\frac{9}{2} \end{gathered}[/tex]

Hence

[tex]\begin{gathered} y=-\frac{1}{2}x+\frac{9}{2}\rightarrow y=mx+b \\ m\text{ is the slope} \\ b\text{ is the y intercept} \end{gathered}[/tex]

therefore

[tex]\begin{gathered} \text{slope}=-\frac{1}{2} \\ y-\text{intercept =}\frac{9}{2} \end{gathered}[/tex]

I hope this helps you

Two squares are shown in the diagram . The larger square has sides of length 5x units. The smaller square has an area equal to ⅑ of the larger square . Find the length of the sides or the smaller square. Give your answer in the form a/b where a,b ∊ ℕ

Answers

From the information given,

length of side of the larger square = 5x units

The area of a square is calculated by the faormula,

area = length of side^2

Thus,

Area of larger square = (5x)^2 = 25x^2

The smaller square has an area equal to ⅑ of the larger square. This means that the area of the smaller square is

Area of smaller square = 1/9 * 25x^2 = 25x^2/9

Length of the side of square = square root of area

Thus,

Length of the sides of the smaller square = square root of (25x^2/9)

Length of the sides of the smaller square = 5x/3

A stack of 30 science flashcards includes a review card for each of the following 10 insects, 8 trees, 8 flowers and 4 birds. What is the probability of randomly selecting an insect and then a tree???

Answers

The probability (P) of event A occurring is:

[tex]P(A)=\frac{\text{ number of favorable outcomes to A}}{\text{ total number of outcomes}}[/tex]

The probability of 2 consecutive events A and B occur is:

[tex]P=P(A)*P(B)[/tex]

Then, let's calculate the probability of selecting an insect:

Favorable outcomes: 10

Total outcomes: 30

[tex]P(insect)=\frac{10}{30}=\frac{1}{3}[/tex]

Now, let's calculate the probability of selecting tree:

If the insect card is replaced:

Favorable outcomes: 8

Total outcomes: 30

[tex]P(B)=\frac{8}{30}=\frac{4}{15}[/tex]

If the insect card is not replaced:

Favorable outcomes: 8

Total outcomes: 29

[tex]P(B)=\frac{8}{29}[/tex]

The probability of randomly selecting an insect and then a tree is:

With replacement:

[tex]\begin{gathered} P=\frac{1}{3}*\frac{4}{15} \\ P=\frac{4}{45} \end{gathered}[/tex]

Without replacement:

[tex]\begin{gathered} P=\frac{1}{3}*\frac{8}{29} \\ P=\frac{8}{87} \end{gathered}[/tex]

Answer:

With replacement: 4/45

Without replacement: 8/87

find an equation of the line passing through the pair points. write the equation in the form ax+by=c (-7,5),(-8,-9)

Answers

Given the pair of coordinates;

[tex]\begin{gathered} (-7,5) \\ (-8,-9) \end{gathered}[/tex]

We would begin by first calculating the slope of the line.

This is given by the formula;

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

The variables are as follows;

[tex]\begin{gathered} (x_1,y_1)=(-7,5) \\ (x_2,y_2)=(-8,-9) \end{gathered}[/tex]

We will now substitute these into the formula for finding the slope as shown below;

[tex]\begin{gathered} m=\frac{(-9-5)}{(-8-\lbrack-7)} \\ \end{gathered}[/tex][tex]\begin{gathered} m=\frac{-14}{-8+7} \\ \end{gathered}[/tex][tex]\begin{gathered} m=\frac{-14}{-1} \\ m=14 \end{gathered}[/tex]

The slope of this line equals 14. We shall use this value along with a set of coordinates to now determine the y-intercept.

Using the slope-intercept form of the equation we would have;

[tex]y=mx+b[/tex]

We would now substitute for the following variables;

[tex]\begin{gathered} m=14 \\ (x,y)=(-7,5) \end{gathered}[/tex][tex]5=14(-7)+b[/tex][tex]5=-98+b[/tex]

Add 98 to both sides of the equation;

[tex]103=b[/tex]

We now have the values of m, and b.The equation in "slope-intercept form" would be;

[tex]y=14x+103[/tex]

To convert this linear equation into the standard form which is;

[tex]Ax+By=C[/tex]

We would move the term with variable x to the left side of the equation;

[tex]\begin{gathered} y=14x+103 \\ \text{Subtract 14x from both sides;} \\ y-14x=103 \end{gathered}[/tex]

We can now re-write and we'll have;

[tex]-14x+y=103[/tex]

Note that the coefficients of x and y (that is A and B) are integers and A is positive;

Therefore, we would have;

[tex]\begin{gathered} \text{Multiply all through by -1} \\ 14x-y=-103 \end{gathered}[/tex]

The equation of the line passing through the points given expressed in standard form is;

ANSWER:

[tex]14x-y=-103[/tex]

Complete the statement with < >, or =. 25 نتانا

Answers

Given

[tex]\frac{3}{2}\text{?}\sqrt[]{\frac{25}{4}}[/tex]

Procedure

[tex]\begin{gathered} \sqrt[]{\frac{25}{4}}=\frac{5}{4} \\ so, \\ \frac{3}{2}<\frac{5}{2} \end{gathered}[/tex]

Let the Universal Set, S, have 52 elements. A and B are subsets of S. Set A contains 26 elements and SetB contains 14 elements. If the total number of elements in either A or B is 27, how many elements are inA but not in B?

Answers

ANSWER

Number of elements in A but not in B = 13

EXPLANATION

Step 1: Given that:

n(S) = 52

n(A) = 26

n(B) = 14

n(A U B) = 27

Step2: Using the Venn Diagram

Step 3: Determine the value of n(A n B)

n(A U B) = n(A) + n(B) - n(A n B)

27 = 26 + 14 - n(A n B)

n(A n B) = 40 - 27

n(A n B) = 13

Step 4: Determine the number of elements in A but not in B

n(A - B) = n(A) - n(AnB)

n(A - B) = 26 - 13

n(A - B) = 13

Hence, number of elements in A but not in B = 13

A coach buys a uniform and a basketball for each of the 12 players on the team. Each basketball costs $15. The coach spends a total of $756 for uniforms and basketballs. Write an equation that models the situation with u, the cost of one uniform.Find the cost of one uniform

Answers

Equation: 180 + 12u = 756

the cost of one uniform is $48

Explanation:

Total number of players = 12

The cost per basketball = $15

Total cost for uniform and basket balls = $756

let the cost of each uniform = u

The equation becomes:

Total number of players(The cost per basketball ) + Total number of players( cost of each uniform)

12($15) + 12(u) = $756

180 + 12u = 756

To get u, we subtract 180 from both sides:

180 - 180 + 12u = 756 - 180

12u = 576

u = 576/12

u = 48

Hence, the cost of one uniform is $48

Solve for all values of x in simplest form.
|8x| = 64

Answers

Answer: x=8

Step-by-step explanation:

the vertex of this parabola Is at parabola is at (2,-4)

Answers

Answer:

[tex]A=3[/tex]

Explanation: We are given two points, P1 is vertex and P2 is another point on the parabola:

[tex]\begin{gathered} P_1(2,-4) \\ P_2(3,-1) \end{gathered}[/tex]

The general form of the equation of a parabola is:

[tex]y(x)=A(x\pm B)^2+C[/tex]

Where A is the Coefficient of the parabola function which is responsible for compression and stretch, likewise B is responsible for the translation along the x-axis and C is responsible for translation along the y-axis.

We know that our function is translated 2 units towards the right and 4 units downwards:

Therefore:

[tex]\begin{gathered} B=-2 \\ C=-4 \end{gathered}[/tex]

And this turns the parabola equation into:

[tex]y(x)=A(x-2)^2-4[/tex]

Using P2 we can find the constant-coefficient as:

[tex]\begin{gathered} y(x)=A(x-2)^2-4_{} \\ P_2(3,-1) \\ \\ \\ \end{gathered}[/tex]

Therefore:

[tex]\begin{gathered} y(3)=A(3-2)^2-4=-1\rightarrow A-4=-1 \\ \because\rightarrow \\ A=3 \end{gathered}[/tex]

How do I solve this problem Lucy plans to spend between 50$ and 65$, inclusive, on packages of breads of charms. If she buys 5 packages of breads at $4.95 each, how many packages of charms at $6.55 can Lucy buy while staying within her budget?

Answers

so she can buy 6 packages of charms

Explanation

Step 1

Let

x= money Lucy spends

Lucy plans to spend between 50$ and 65$, replacing we have

[tex]50she buys 5 packages of bread at $4.95

Step 2

find the money spent for buying 5 packages of bread

[tex]\begin{gathered} \text{cost}=\text{ 5 mu}ltipliedby4.95 \\ \text{cost}=5\cdot4.95=24.75 \\ \end{gathered}[/tex]

Step 3

after, that she will have spent 24.75, the maximum budget is 65

then , she has

[tex]\begin{gathered} \text{balance}=65-24.75 \\ \text{balance}=40.25 \end{gathered}[/tex]

Step 4

to find how many packages of charms at $6.55 she can buy,, just divide

[tex]\begin{gathered} \text{total of packages of charm= }\frac{40.25\text{ usd}}{6.55\frac{usd}{\text{pack}}} \\ \text{total of packages of charm=6.14 } \\ \end{gathered}[/tex]

she can not buy 0.14 package, so she can buy 6 packages of charms

3. Lin is solving this system of equations:S 6x – 5y = 343x + 2y = 83. She starts by rearranging the second equation to isolate the y variable: y = 4 -1.5%. She then substituted the expression 4 - 1.5x for y in the first equation, asshown below:--6x – 5(4 – 1.5x) = 346x – 20 – 7.5x = 34-1.5x = 54x = -36y = 4 – 1.5xy = 4 - 1.5 • (-36)y = 58.

Answers

We are given the following system of equations:

[tex]\begin{gathered} 6x-5y=34,(1) \\ 3x+2y=8,(2) \end{gathered}[/tex]

We are asked to verify if the point (-36, 58) is a solution to the system. To do that we will substitute the values x = -36 and y = 58 in both equations and both must be true.

Substituting in equation (1):

[tex]6(-36)-5(58)=34[/tex]

Solving the left side we get:

[tex]-506=34[/tex]

Since we don't get the same result on both sides this means that the point is not a solution.

Now, we will determine where was the mistake.

The first step is to solve for "y" in equation (2). To do that, we will subtract "3x" from both sides:

[tex]2y=8-3x[/tex]

Now, we divide both sides by 2:

[tex]y=\frac{8}{2}-\frac{3}{2}x[/tex]

Solving the operations:

[tex]y=4-1.5x[/tex]

Now, we substitute this value in equation (1), we get:

[tex]6x-5(4-1.5x)=34[/tex]

Now, we apply the distributive law on the parenthesis:

[tex]6x-20+7.5x=34[/tex]

This is where the mistake is, since when applying the distributive law the product -5(-1.5x) is 7.5x and not -7.5x.

Tiffany has volunteered 65 hours at a local hospital.This is 5 times the number of hours her friend Mario volunteered. Let m represent the number of hours that Mario volunteered. Which equation below can be used to determine the actual number of hours Mario volunteered?A 65 x 5 = mb 5 x m= 65C m +5=65d 5 ÷ m= 65e 5+ m =65

Answers

Answer:

5 x m = 65

Explanations:

The number of hours Tiffany volunteered = 65

The number of hours Mario volunteered = m

Tiffany volunteered 5 times the number of hours mario voluntered

Number of hours Tiffany volunteered = Number of hours Mario volunteered x 5

65 = m x 5

This can also be written as:

5 x m = 65

Evaluate. Write your answer as an integer or as a decimal rounded to the nearest hundredth. cos 67° = ____

Answers

Answer: 0.39

The decimal form of cos 67° rounded to the nearest hundredth is 0.39.

Other Questions
What do you already know about graphing data LEARNING OBJECTIVE Determine a vertical Horizontal or oblique asymptole of a rational functionWhich of the following rational functions will have a graph with a horizontal asymptote of y=09nh7x) =2x + 4b.)4x) - 2x + 23x - 1c.)3x - 2x2x+X-1d.)2x - 83x+x+1 Write an equation parallel to y = 3x + 6 that passes through the point (4,7).Remember to type the" - "if a number is negative, such as-2.y =X + a high school student is planning to volunteer at the hospital after school, so she needs to have a mantoux test before beginning. what should the nurse tell the new volunteer? a food snack manufacturer samples 7 bags of pretzels off the assembly line and weighs their contents. if the sample mean is 15.2 oz and the sample standard deviation is 0.70 oz, find the 95% confidence interval of the true mean. Three friends each do work to push an object across the room. Katie does 400 J of work while pushing her object across the room in 6 seconds. Alice does 300 J of work while pushing her object across the room in 7 seconds. Alyssa does 350 J of work while pushing her object across the room in 5 seconds. Which friend has the largest power output? help meeeeeeeeeeeeeee pleaseeeeeee The sum of the catheters in a triangle is 27 cm. The corresponding catheter in another right-angled triangle, uniform with the first one, is 2cm and 7cm. Calculate the area of the first triangle. The diameter is 16 ftwhat's the area the circle? The equation V=15200(0.93) t V=15200 (0.93)t represents the value (in dollars) of a car t years after its purchase given the function y=3x + 5 find the range uf the domain is (-4,-1,2,5,) Managers of a sports arenas parking garage keep track of the duration of time customers park their cars there. Shown in the stem and - leaf display below is a sample of 15 such parking duration (in minutes). Use the display to answer the questions that follow. For the following reaction, how many grams of H2O will be produced if you react 3.7 grams of B2H6?B2H6 + 3 O2 2 HBO2 + 2 H2O Explain how the assembly line increased specialization at the Ford Motor Company Expand 4(y + 5).4(y+5)= 1 8. What is the solution to the following equation? (1 point)x - 10x + 24 = 0Ox= 3 or x = 8Ox= -3 or x = -8Ox=4 or x =Ox=-4 or x = -69. Ms. Ortiz sells tomatoes wholesale. The function p(x) = -80x + 320x In some states, the amount of sales tax on an item is found by multiplying the cost of the item by 0.07. Find the sales tax of a DVD that costs $23.99. O $1.67 $1.68 $16.79 O $0.17 The lighthouse flashes every 10 seconds. how many times does it flash in one hour Experiments were done on a certain pure substance X to determine some of its properties. There's a description of each experiment in the table below.In each case, decide whether the property measured was a chemical or physical property of X, if you can. If you don't have enough information to decide, choose can't decide in the third column.QA sample of solid X is carefully weighed and put inside a sealed flask. Pure hydrogen gas is added to the flask, and the mixture heated until the hydrogen starts being consumed. After hydrogen stops being consumed, the contents of the flask are removed and weighed, and from the increase in weight the value of may be calculated.physicalchemical(can't decide)MA small sample of X is put on the pan of a sensitive balance and its weight measured. Next, a magnet is brought near the pan, and the weight is measured again. From the difference of weights in and out of the magnetic field, the value of M may be calculated.physicalchemical(can't decide)CA sample of X is carefully weighed and put inside a sealed calorimeter. Pure oxygen gas is injected into the calorimeter, and the mixture ignited. After all of X has reacted with the oxygen gas, the temperature rise of the calorimeter is measured. From this change in temperature the value of C may be calculated.physicalchemical(can't decide) a firefighter on the ground sees fire break through a window near the top of a building. The angle of elevation to the window seal is 28 degrees. The angle of elevation to the top of the building is 42 degrees. The firefighter is 75 ft from the building and her eyes are 5 feet above the ground. What Ruth window seal distance guess you report by radio to Firefighters on the roof