In the figure below, m<1(15x-5)° and m<3(10x + 35)Find x =and m <2 =

Answer:

4x - y = - 19 and x + 4y = 8

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

given

8x - 2y = - 5 ( subtract 8 from both sides )

- 2y = - 8x - 5 ( divide through by - 2 )

y = 4x + [tex]\frac{5}{2}[/tex] ← in slope- intercept form

with slope m = 4

• Parallel lines have equal slopes , then

y = 4x + c ← is the partial equation

to find c substitute (- 4, 3 ) into the partial equation

3 = - 16 + c ⇒ c = 3 + 16 = 19

y = 4x + 19 ← equation of parallel line in slope- intercept form

subtract y from both sides

0 = 4x - y + 19 ( subtract 19 from both sides )

- 19 = 4x - y , that is

4x - y = - 19 ← equation in standard form

----------------------------------------------------------------------

given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{4}[/tex] , then

y = - [tex]\frac{1}{4}[/tex] x + c ← is the partial equation

to find c substitute (- 4, 3 ) into the partial equation

3 = 1 + c ⇒ c = 3 - 1 = 2

y = - [tex]\frac{1}{4}[/tex] x + 2 ← equation of perpendicular line in slope- intercept form

multiply through by 4 to clear the fraction

4y = - x + 8 ( add x to both sides )

x + 4y = 8 ← equation in standard form

Answer:

Commission - $15,480 | Money the agency made - $86,000

Step-by-step explanation:

4.5% of $344,000 is $15,480

25% of $344,000 is $86,000

Answer:

y < - 1

Step-by-step explanation:

y + 15 < 14 ( isolate y by subtracting 15 from both sides )

y < - 1

Answer: y < - 1

Step-by-step explanation:

y + 15 < 14 (isolate y by subtracting 15 from both sides)

y < - 1

Answer:

V₂ = 1.0 L

Step-by-step explanation:

Combined Gas Law

[tex]\sf \dfrac{P_1V_1}{T_1}=\dfrac{P_2V_2}{T_2}[/tex]

where:

Temperature must be in kelvins (K).

To convert Celsius to kelvins, add 273.15.

Volume can be in any unit.

Given values:

Rearrange the equation to isolate V₂:

[tex]\implies \sf V_2=\dfrac{P_1V_1T_2}{P_2T_1}[/tex]

Substitute the given values into the equation:

[tex]\sf \implies V_2=\dfrac{5 \cdot 1 \cdot 600}{10 \cdot 300}[/tex]

[tex]\sf \implies V_2=\dfrac{3000}{3000}[/tex]

[tex]\sf \implies V_2=1.0\;L[/tex]

Therefore, the volume of V₂ is 1.0 L.

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Data

Rey wrapped 6 presents every 10 hours.

will it take to wrap 18 presents?

Procedure

It will take 30 hours

Answer: it will take 30 hours to wrap 18 gifts

Step-by-step explanation:

I cant really explain it so i will show you.

() = h (hours)

| = g (gifts)

( | | | | | | ) }-6

( | | | | | | ) }-6

( | | | | | | ) }-6

10h + 10h + 10h = 30h

6g + 6g + 6g = 18g

I hope this helped

Answer:

There would be 88 fluid ounces in 4 prints and 3 cups.

Step-by-step explanation:

So, if 1 print is equal to two cups, and we have 4 prints, that would mean we can multiply 4 x 2, which equals 8 cups. Now that the prints are out of the way, we add the 3 cups still remaining, to get 11 cups. Now, it wants us to find the fluid ounces, which 16 fluid ounces are in 2 cups, so, 11 divided by 2 = 5.5. So, 5.5 x 16 = 88 fluid ounces.

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Answer:

88

Step-by-step explanation:

16x4=64

8x3=24

64+24=88

Answer:

D

Step-by-step explanation:

I'll try to be brief

Let's plug in our 'y' variable (2x)

2x + (2x) = 20

4x = 20

x = 5

Now, plug in our 'x' variable to get our 'y' variable:

y = 2(5)

y = 10

So, our answer in (5, 10)

Or, D

In linear equation, 50x is the total cost of dance classes each month.

What is a linear equation example?

C = 50x + 75, where 75 is the application fee. When they take out the application fee, it will become:

C = 50x +75 (-75)

C = 50x

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By using the concept of factors and multiples, it can be inferred that

Product of a and b i.e. ab has atleast (m + n) trailing zeroes which is greater than both m and n

What are factors and multiples?

Suppose the number is k. Factors of k are those numbers that divide k.

For example: Factors of 6 are 1, 2, 3 and 6

Multiples of k are those numbers which are divided by k.

For example Multiples of 6 are 6, 12, 18, ....

Since the factors are of multiple of 10, then the factors will have atleast one trailing zero. Let the factors be a and b

Suppose a has m trailing zeroes and b has n trailing zeroes.

Product of a and b i.e. ab has (m + n) atleast trailing zeroes which is greater than both m and n

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When we apply the concept of factors and multiples, we concluded that the product of a and b i.e. ab has at least (m + n) trailing zeroes that are greater than both m and n.

What are factors and multiples?

A multiple is a number that, up to a given number of times, can be divided by another number without leaving a leftover.

A factor is a pair of integers or more that divide a given number by itself without leaving a residue.

Here,

the factors are of multiple of 10, then the factors will have at least one trailing zero.

We let the factors be a and b

Suppose a has m trailing zeroes and b has n trailing zeroes then, the Product of a and b i.e. ab has (m + n) at least trailing zeroes which are greater than both m and n.

Hence, we concluded that the product of a and b i.e. ab has at least (m + n) trailing zeroes that are greater than both m and n.

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Answer:

x = 50

Step-by-step explanation:

       3x  = 2x + 50

Subtract 2x from both sides,

  3x - 2x = 2x -2x + 50

          x  = 50

A straight line can be written in the form of a two variable linear equation.

The equation of line passing through point (4,0) is  y = -1 / 17 x + 4.

To represent a straight line on a graph consider two points namely x and y intercepts of the line. To find x-intercept put y = 0 and for y-intercept put x = 0. Then draw a line passing through these two points.

Given that,

The line is passing through the point (4,0).

It is parallel to the line passing through (7, -3) and (-10. -2).

The slope of the line passing through (7, -3) and (-10. -2) is

m₁ = (-2-(-3)) / (-10 - 7)

m₁ = - 1 / 17

Since the slope of two lines parallel to each other is equal, the slope of the line passing through point (4,0) is - 1 / 17.

Thus, the equation of line passing through point (4,0) can be written as,

(y - 4) / (x - 0) =  - 1 / 17

=> y = -1 / 17 x + 4

Hence, the equation of the given line is y = -1 / 17 x + 4.

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Answer:

Obtuse angles are angles with a measure over 90 degrees.

Right angles are angles with a measure of exactly 90 degrees.

A scalene triangle can be defined as a triangle whose all three sides have different lengths, and all three angles are of different measures. The angles of a scalene triangle follow the angle sum property and always add up to 180.

Step-by-step explanation:

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Given: A parallelogram with the dimension below

To Determine: The area of the given parallelogram

The area of a paralleogram is given by the formula

Substitute the base and the height into the formula

Hence, the area of the given parallelogram is 117yd²

Answer:

-5/3

Step-by-step explanation:

The required equation for line M will be 4x+72=y as in the form of y=ax+b because line L is perpendicular to line M.

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two expressions 3x + 5 and 14, which are separated by the 'equal' sign. a formula that expresses the connection between two expressions on either side of a sign. Typically, it has a single variable and an equal sign. A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are present. The variables in the above equation are y and x, and it is occasionally referred to as a "linear equation of two variables."

Here,

If x-intercept=B and y-intercept=E

Point B=(16,0)

Point E=(0,4)

point A=(-16,4+4)

=(-16,8)

line M is perpendicular to line L,

slope of L=-4/16

=-1/4

slope of M=-1/-1/4=4

The equation of line M will be,

point=(-16,8)

slope=4

y-8=4(x+16)

y-8=4x+64

4x-y+72=0

Line L is perpendicular to line M, so the required equation for line M will be 4x+72=y in the form of y=ax+b.

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(a)

The expression are equivalent to each ohter if both expressions give same value for all assign values of x. From the table it can be observed that both expression do not give same value for all values of x. Thus expression

and 3x + 4 are not eqivalent to each other.

(b)

From the table, it can be observed that values of the expression are equal for x = 4. So equation

holds true for x = 4.

Since B is the midpoint of AC.

AB = BC

3x + 6 = x + 14

Solve for x :

3x - x = 14 - 6

2x = 8

x= 8/2

x= 4

To understand the question, let us draw the graphs of each one

The red graph represents A

The blue graph represents B

The green graph represents C

The purple graph represents D

Let us find the narrowest

The blue graph is the narrowest because it is closed to the y-axis more than the other graphs

The correct answer is B

The expression "a number" can be represented with any letter. Use, for instance, the letter n.

Then, the expression "The quotient of a number and 6" can be represented as:

9 more than the quotient of a number and 6 can be expressed as:

If that expression is equal to 3, then:

Which is an algebraic expression for "9 more than the quotient of a number and 6 is 3".

It order to find f(5) and f ( -6 ) we just replace x on the equation with

x = 5 and x = -6

In the first case, x = 5

In the second case, x = -6

Answer:

you mean greatest common factor?

Brand 6

1) In this problem, we need to find the unit rate. So let's do it and then compare for both brands

2) Brand A

So for Brand A, 1 oz is approximately 13 cents ( rounding up to the nearest hundredth)

3) Brand 6

We can write out another proportion:

So brand 6, 1 oz is approximately 10 cents.

Answer:

6. 24

Step-by-step explanation:

A) Use pythogaras theoram

8x8 - 5x5 = axa - bxb = c

64-25= 39

39 square root =6.24

Answer:

70.4/11 = 6.4

Step-by-step explanation:

The ratio of vowels to all letters in the word is 3 to 8

Given,

The word BALLOONS

We have to find the ratio of vowels to all letters in this word.

Ratio;

Ratios contrast two figures by ordinarily dividing them. A/B would be your formula if you were comparing one data point (A) to another data point (B). This indicates that you are multiplying information A by information B. For instance, your ratio will be 5/10 if A is 5 and B is 10.

So,

The number of letters in BALLOONS = 8

The number of vowels = 3

The ratio of vowels to all letters in the word = 3 to 8

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The linear inequality that represented by the graph is given as follows:

y < -4x/3 + 5.

The inequality is represented by a line, which has the following format:

y = mx + b.

In which the coefficients of the equation of the line are listed as follows:

The two points of the line are given as follows:

(0,5) and (3,1).

Hence the intercept is:

b = 5.

The slope is given by the change in y divided by the change in x, hence it is of:

m = (1 - 5)/(3 - 0) = -4/3.

Hence the line is:

y = -4x/3 + 5.

The inequality is below the shaded line, hence it is:

y < -4x/3 + 5.

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Answer:

y < -4/3x + 5.

Step-by-step explanation:

Answer:

The word sentence you are looking for is:

n + 4.1 ≤ 7

Step-by-step explanation:

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Answer:-53/4

Step-by-step explanation:

Answer: -53/4

Step-by-step explanation:

[tex]\displaystyle\\-13.25=\\\\-13\frac{25}{100}=\\\\-13\frac{25(1)}{25(4)}=\\\\-13\frac{1}{4} =\\\\-\frac{13(4)+1}{4} =\\\\-\frac{52+1}{4}=\\\\-\frac{53}{4}[/tex]

Marcus should choose $2400 plus 3% of sales.

His salary is composed of a fixed salary and a variable salary.

Fixed Salary + Variable Salary = Monthly Salary

2400 150 (3% of 5k) = 2350 - minimum salary he'll receive

2400 300 (3% of 10k) = 2700 - maximum salary he'll receive

VS

Fixed Salary + Variable Salary = Monthly Salary

1500 275 (5.5% of 5k) = 1775 - minimum salary he'll receive

1500 550 (5.5% of 10k) = 2,050 - maximum salary he'll receive

As you can see, despite the high percentage of sales offered, it is not a good option because the fixed salary is low as compared to the other option. Even the maximum salary he'll receive under the option of $1500 is way lower than the minimum salary he'll receive under the option of $2400.

Fixed salary means that each employee receives exactly the same pay and fairness as any other employee in the same pay grade. The level is determined by years of experience and position. For example, all analysts are paid exactly the same all directors are paid the same and all executives are paid the same.

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