As the given lines are:
[tex]\begin{gathered} x+y=7\ldots\ldots\ldots\ldots(1) \\ 2x-3y=-11\ldots\ldots\ldots.(2) \end{gathered}[/tex]To find the system of linear equation:
multiply equation (1)by 3 and then add in equation 2:
[tex]\begin{gathered} 3(x+y)+2x-3y=3(7)-11 \\ 3x+3y+2x-3y=21-11 \\ 5x=10 \\ x=2 \end{gathered}[/tex]Now put the value of x in equation 1:
[tex]\begin{gathered} 2+y=7 \\ y=5 \end{gathered}[/tex]What is the equation of the following graph?A. f(x) = 3(2³)OB. f(x) = 5()*Oc. f(x) = ()*D.) = 2(3³)
From the graph,
when x = 0, y = 2
when x = 1, y = 6
Considering option D,
f(0) = 2(3^0) = 2 * 1 = 2
f(1) = 2(3^1) = 2 * 3 = 6
Thus, the correct option is
D
Graphing with end behavior
SOLUTION
End behaviour
This describe the behaviour of the graph of a function at the end of the x-axis.
The end behavior of a function describes the trend of the graph if we look to the right end of the x-axis (as xxx approaches +∞, infinity) and to the left end of the x-axis (as x approaches -∞, negative infinity).
trapon 3 5 Which to 2 and 3 I and 2 32- integers does V5 go batwsen? 00 7 and 8 -80 S pues Simplify -3(2x+h 6.5.10 Simplify 8.42x104 45x10 08:00 18.28x02 EUDE 6 (L-6) 57 irrational Surve 4x - y=10 -2x + y=-8 (63)
The angles shown in the picture are over the same horizontal line and share a vertex and one side. These angles are a line pair, which means that they are supplementary, you can write the following expression:
[tex](32º+x)+48º=180º[/tex]From this expression, you can determine the value of x.
-First erase the parentheses, order the like terms together and simplify them:
[tex]\begin{gathered} 32º+48º+x=180º \\ 80º+x=180º \end{gathered}[/tex]-Subtract 80º from both sides of the equation
[tex]\begin{gathered} 80º-80º+x=180º-80º \\ x=100º \end{gathered}[/tex]evaluate the expression and enter your answer below. 3x10+15-6^2
3*10 + 15 - 6^2
3*10 + 15 -36 (Raising 6 to the power of 2, because of the order of operations)
30 + 15 - 36 (Multiplying, because of the order of operations)
45 - 36 (Adding)
9 (Subtracting)
The answer is equal to: 9
1) both balloons are red2)neither of the balloons are large
It is given that there are ballons of different colors in the party pack given by the table.
The total number of red, yellow and blue baloons can be found by adding the respective columns.
The total number of baloons is the sum of all cells combined.
Hence find the total number of red, yellow and blue baloons as follows:
[tex]\begin{gathered} n(R)=12+15+24=51 \\ n(Y)=24 \\ n(B)=25 \end{gathered}[/tex]The total number of baloons is given by:
[tex]\begin{gathered} n(S)=n(R)+n(Y)+n(B) \\ n(S)=51+24+25 \\ n(S)=100 \end{gathered}[/tex]The probability of both red baloons is given by:
[tex]\begin{gathered} P(R,R)=\frac{^{51}^{}C_2}{^{100}C_2} \\ P(R,R)=\frac{17}{66} \end{gathered}[/tex]Hence the probability of both red baloons is 17/66 or 0.2575757....
how do you draw a model to explain 3/4 x 24
3 / 4 x 24 = 3 x 6 = 18
Josh took 300 minutes to get to work. How many hours is this?
Problem Statement
The question tells us that it
5 is 100 times? I am not sure.Solve question 1
Answer:
0.005
0.05
50
Explanation:
For the first question;
Let the number be x.
So let's go ahead and solve for x as shown below;
[tex]\begin{gathered} 10\times x=0.05 \\ x=\frac{0.05}{10} \\ x=0.005 \end{gathered}[/tex]For the 2nd question;
Let the missing number be y.
We can solve for y as seen below;
[tex]\begin{gathered} 100\times y=5 \\ 100y=5 \\ y=\frac{5}{100} \\ y=0.05 \end{gathered}[/tex]For the 3rd question;
Let the missing number be z.
We can solve for z as shown below;
[tex]\begin{gathered} \frac{1}{100}\times z=0.5 \\ \frac{z}{100}=0.5 \\ z=100\times0.5 \\ z=50 \end{gathered}[/tex]Each of these is a pair of equivalent ratios for each pair explain why they are equivalent ratios or draw a diagram that shows why they are equivalent ratios 2:7 and 10,000:35,000
Given this pair of equivalent ratios:
[tex]\begin{gathered} 2:7 \\ \\ 10,000:35,0000 \end{gathered}[/tex]It is important to remember that equivalent ratios represent the same value, but they have different forms.
Equivalent ratios can be obtained by multiplying both parts of a ratio by a common number.
In this case, you can identify that:
[tex]2\cdot5,000=10,000[/tex][tex]7\cdot5,000=35,000[/tex]Therefore, both parts of the original ratio can be multiplied by 5,000 in order to get the other ratio.
Hence, the answer is: They are equivalent ratios because they have the same value when they are simplified, and the second ratio can be obtained by multiplying both parts of the first ratio by 5,000.
Jamele runs a grocery store that sells bar coffee bean blend by the pound. she wishes to mix 40 pounds of coffee to sell for a total cost of $222. to obtain the mixture she will mix coffee that sells for $5.10 per pound with coffee that sells for $6.30 per pound. how many pounds of each coffee should she use
As per given by the question.
There are given that total mix pounds is 40.
Now,
There is two equation would be needed, one to the acount for money and the other to account for mass.
Then,
x is the pounds of $ 5.10/pound coffee.
y is the pouns of 6.30/pound coffee.
So,
The first equation is;
[tex]5.10x+6.30y=222[/tex]And;
The grocer wants to mixture of 40 pounds of coffee,
So;
[tex]x+y=40[/tex]Now,
From the second equation,
[tex]\begin{gathered} x+y=40 \\ x=40-y \end{gathered}[/tex]Then,
Put the value of x into the first equation.
So,
[tex]\begin{gathered} 5.10x+6.30y=222 \\ 5.10(40-y)+6.30y=222 \\ 204-5.10y+6.30y=222 \\ 204+1.2y=222 \\ 1.2y=18 \\ y=15 \end{gathered}[/tex]Now,
Put the value of y into the second equation;
So,
[tex]\begin{gathered} x=40-y \\ x=40-15 \\ x=25 \end{gathered}[/tex]Hence, the 25 and 15 pounds of each coffee shoud she use.
May I please get help with this problem? for I have got it wrong multiple times and still cannot get the correct answer
Answer:
x = 61.9°
Step-by-step explanation:
Let's take a closer look at our triangle:
Since we're on a right triangle, we can say that:
[tex]\sin(x)=\frac{15}{17}[/tex]Solving for x,
[tex]\begin{gathered} \sin(x)=\frac{15}{17}\rightarrow x=\sin^{-1}(\frac{15}{17}) \\ \\ \Rightarrow x=61.9 \end{gathered}[/tex]Given the following piecewise function, determine h(x)h(x) = { -x, if x greater than or equal to -2{ 2, if x > -2h(-6) =h(-2) =h(6) =
Part 1) h(-6)
h(x)=-x
x=-6
so
h(-6)=6
Part 2) h(-2)
h(x)=-x
For x=-2
h(-2)=2
Part 3) h(6)
h(x)=2
x=6
so
h(6)=2
Mia was baking cupcakes for a party. She makes four drops of red food coloring for every six drops of yellow food coloring to dye her icing Orange. What is the ratio that would create the same orange color .
To find the ratio that would create the same orange color, we need to find the value from the division of the number of drops of each color of the food coloring.
From the present question, we know that Mia uses 4 drops of red for every 6 drops of yellow. It means that, for every 10 drops, 4 is red and 6 is yellow.
The ratio is:
( I will be finishing once I understand the best way to give you the final answer"
[tex]22y = 11(3 + y)[/tex]I need help with my homework cause I'm sorta slow
Given the expression:
[tex]22y=11(3+y)[/tex]First we need to get rid of the parenthesis by multiplying 11 by 3 and by y:
[tex]\begin{gathered} 22y=11(3+y) \\ \Rightarrow22y=33+11y \end{gathered}[/tex]Now we solve for y:
[tex]\begin{gathered} 22y=33+11y \\ \Rightarrow22y-11y=33 \\ \Rightarrow11y=33y \\ \Rightarrow y=\frac{33}{11}=3 \\ y=3 \end{gathered}[/tex]Therefore, y=3
Use properties to rewrite the given equation. Which equations have the same solution as 2.3p – 10.1 = 6.5p – 4 – 0.01p? Select two options. 2.3p – 10.1 = 6.4p – 4 2.3p – 10.1 = 6.49p – 4 230p – 1010 = 650p – 400 – p 23p – 101 = 65p – 40 – p 2.3p – 14.1 = 6.4p – 4
The equations that have the same solution as 2.3p – 10.1 = 6.5p – 4 – 0.01p are (b) 2.3p – 10.1 = 6.49p – 4 and (c) 230p – 1010 = 650p – 400 – p
How to determine the equations with the same solution?The equation is given as
2.3p – 10.1 = 6.5p – 4 – 0.01p
Evaluate the like terms on the right-hand side
So, we have the following representation
2.3p – 10.1 = 6.49p – 4
The above equation is indicated in option (b)
Multiply through the equation by 100
So, we have:
100(2.3p – 10.1 = 6.5p – 4 – 0.01p)
Evaluate
230p – 1010 = 650p – 400 – p
The above equation is indicated in option (c)
Hence, the equations with the same solution are (b) and (c)
Read more about equivalent equations at
https://brainly.com/question/2972832
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A fair coin is tossed 3 times in succession. The set of equally likely outcomes is (HHH, HHT, HTH, THH, HTT, THT, TTH, TTT). Find the probability of getting a tailon the second toss
A fiar coin is tossed 3 times in succession.
The results for each experiment is displayed as follows;
[tex]\begin{gathered} \text{HHH} \\ \text{HHT} \\ \text{HTH} \\ \text{THH} \\ \text{HTT} \\ \text{THT} \\ \text{TTH} \\ \text{TTT} \end{gathered}[/tex]On each toss from the above results, the probability of getting a tail would include all results that has a tail come up. That would be;
[tex]P\lbrack\text{Event\rbrack}=\frac{\text{Number of required outcomes}}{Number\text{ of all possible outcomes}}[/tex][tex]P\lbrack\text{tail\rbrack}=\frac{4}{8}[/tex]Note that to get a tail on the "second toss" would mean to get a result with a tail as the second out of three. We have 7 outcomes with tails. However 4 of these has a tail as a second outcome, hence we have the required outcome as 4 out of a total of 8.
ANSWER:
Probability of getting a tail on the second toss is
[tex]P\mleft\lbrace\text{tail}\mright\rbrace=\frac{1}{2}[/tex]The function h is a quadratic function whose graph is a translation 7 units left and 8 units up of the function f(x)=x². What is the equation of h in vertex form and in the form y = ax² +bx+c?
Answer:
The vertex form of a quadratic function is given by f (x) = a(x - h)2 + k, where (h, k) is the vertex of the parabola.
Step-by-step explanation:
Convert this decimal into its fractionalform, simplified completely.0.300
The given decimal is 0.300
In order to convert it to decimal, we would start by making 1 the denominator. it becomes
0.3/1
We would multiply the numerator and denominator by 10. It becomes 3/10
Therefore, the answer in fractional form is 3/10
URGENT!! ILL GIVE
BRAINLIEST!!!! AND 100 POINTS!!!!!
The value of angle is ∠P is 140° and ∠Q is 110°.
What do you mean by the exterior and interior angles of a triangle?
The angle between any two of a triangle's three sides is referred to as the interior angle. Any angle that is created when one of a polygon's sides intersects with a line that extends from another side is considered its external angle.
∠P and ∠Q is the exterior angle of the triangle.
we know that the sum of the exterior angle is the sum of the opposite interior angle.
9is the sum of the opposite interior angles that is (110°+30°) = 140°
∠Q is the sum of the opposite interior angles that are (30°+80°)= 110°
Hence,
∠P is 140° and ∠Q is 110°.
to learn more about the exterior and interior angles of a triangle from the given link,
https://brainly.com/question/21912045
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How do I find the minimum and maximum in a factored quadratic equation
Supposed you have a quadratic equation
x^
The concession stand sells 3 hot dogs forevery 4 hamburgers they prepare. Howmany hot dogs do they make if theyprepare 24 hamburgers?
3 Hotdogs are prepared for 4 hamburgers
N Hotdogs. For. 24. Hamburgers
Then make cross multiplication
3 x 24 = N x 4
Now find N
N = (3x24)/4 = 72/4 = 18 HOtdogs
Determine if a - 7 is the solution of the equation 2x+10=-4.
In order to check if x = -7 is the solution of the equation, let's use this value in the equation and check if the final sentence is true:
[tex]\begin{gathered} 2x+10=-4 \\ 2\cdot(-7)+10=-4 \\ -14+10=-4 \\ -4=-4 \end{gathered}[/tex]The final sentence is true, so the value x = -7 is the solution of the equation.
What is the second term of the sequence generated by the fo02O 3O 5O 6
1) Since no other information has been given, we need to assume that the numbers used in this Sequence are whole numbers.
2) Therefore, we can write this:
[tex]undefined[/tex]Ms. Wheeler asks her students to look at their desks. What do the desks represent inEuclidean geometry?
To determine the what desk represents in Euclidean geometry?
Euclidean geometry, sometimes called parabolic geometry, is a geometry that follows a set of propositions that are based on Euclid's five postulates
The most basic terms of geometry are a point, a line, and a plane. A point has no dimension (length or width), but it does have a location
In its rough outline, Euclidean geometry is the plane and solid geometry commonly taught in secondary schools
“A point is that which has no part” and “a line is a length without breadth.” Proceeding from these terms, he defined further ideas such as angles, circles, triangles, and various other polygons and figures.
For example, an angle was defined as the inclination of two straight lines, and a circle was a plane figure consisting of all points that have a fixed distance (radius) from a given centre.
Hence in Euclidean geometry the desk represent the plane
Factor out the GCF in the polynomial.32x - 24 =
The Solution:
The given expression is
[tex]32x-24[/tex]To factor out the Greatest Common Factor of the above expression, we have
[tex]8(4x-3)[/tex]So, the Greatest Common Factor is 8.
8th grade math (puzzle clues) (This photo may not show all the questions)
Answer
Taking all the clues given, one by one, and formulating the correct top 10, we have
1) Gateway Arch in St. Tim, Missouri.
2) San Jacinto Monument in La Porte, Texas.
3) Washington Monument in Washington, DC.
4) Perry's Victory and International Peace Memorial in Put-in-Bay, Ohio.
5) Jefferson Davis Memorial in Fairview, Kentucky.
6) Bennington Battle Monument in Bennington, Vermont.
7) Soldiers and Sailors Monument in Indianapolis, Indiana.
8) Pilgrim Monument in Cape Cod, Provincetown, Massachusetts.
9) Bunker Hill Monument in Boston, Massachusetts.
10) High Point Monument in High Point, New Jersey.
A cylinder has a radius of 10' and a height of 11.4' what is the approximate volume of the cylinder used 3.14 for pi.
A cylinder has a radius of 10' and a height of 11.4' what is the approximate volume of the cylinder used 3.14 for pi.
So, the formula for the volume of the cylinder is:
V= Pir²*h, in which:
Pi= 3.14
r is the radius of the circumference in the base, which is 10'
h is the height of the cilynder, which is 11.4'. So:
V= 3.14*10²*11.4
V= 3,579.6
subtract 3x^2 - 2x - 4 and 2x^2 - 4x - 6
3x^2 - 2x - 4 - (2x^2 - 4x - 6)
1.- Remove the parentheses
3x^2 - 2x - 4 - 2x^2 + 4x + 6
2.- Simplify like terms
x^2 + 2x + 2
3.- Result
x^2 + 2x + 2
what is the factor of 2 and 10
The factor of 2 and 10 is equal to adding up 10, 2 times:
[tex]2\cdot10=10+10=20[/tex]This way, the factor is 20
My question asks; at an ice cream parlor, ice cream cones cost $1.10 and Sundaes cost $2.35. One day the receipts for a total of 172 cones and Sundaes were $294.20. How many cones were sold?
Data:
ice cream cones: x
sundaes: y
Total receipts :T
[tex]T=1.10x+2.35y[/tex]As the total of cones and sundaes is 178:
[tex]x+y=172[/tex]The total receipts were: $294.20
[tex]294.20=1.10x+2.35y[/tex]1. Solve one of the variables in one of the equations:
Solve x in the first equation:
[tex]\begin{gathered} x+y=172 \\ x=172-y \end{gathered}[/tex]2. Use this value of x in the other equation:
[tex]\begin{gathered} 294.20=1.10x+2.35y \\ 294.20=1.10(172-y)+2.35y \\ \end{gathered}[/tex]3. Solve y:
[tex]\begin{gathered} 294.20=189.2-1.10y+2.35y \\ 294.20-189.2=-1.10y+2.35y \\ 105=1.25y \\ \frac{105}{1.25}=y \\ y=84 \end{gathered}[/tex]4. Use the value of y=84 to find the value of x:
[tex]\begin{gathered} x=172-y \\ x=172-84=88 \end{gathered}[/tex]Then, the ice cream parlor sold 88 cones and 84 sundaes