Which expression is equivalent and why?

The initial amount this student is paid is 0 and this can be determined by using the two-point slope form of the line.

Given :

The given table represents the number of hours a student worked and the amount of money the student earned.

The following steps can be used in order to determine the initial amount this student is paid:

Step 1 - The two-point form of the line can be used in order to determine the initial amount this student is paid.

Step 2 - So, the linear equation that represents the given situation is:

[tex]\rm \dfrac{d-50}{h-8}=\dfrac{93.75-50}{15-8}[/tex]

Step 3 - Simplify the above expression.

[tex]\rm \dfrac{d-50}{h-8}=6.25[/tex]

d - 50 = 6.25h - 50

d = 6.25h

Step 4 - Now, substitute the value of (h = 0) in the above expression.

d = 0

Therefore, the correct option is D) There is no base pay.

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Answer:

The probability that Terry buys a sandwich and gets the bus is 0.36

Step-by-step explanation:

When two events are called independent, it means that the happening of one event doesn't affect the happening of other event.

Let A be the event that Terry buys a sandwich

Let B be the event that Terry gets the bus

Then

[tex]P(A) = 0.4\\P(B) = 0.9[/tex]

When two events are independent, their probabilities are multiplied i.e.

[tex]P(A\ and\ B) = P(A) * P(B)\\= 0.4 * 0.9\\= 0.36[/tex]

Hence,

The probability that Terry buys a sandwich and gets the bus is 0.36

Answer:

Multiply 20

answer:[tex]20^{2}[/tex] feet

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]m\angle BAC=180^o-124^o=56^o\\\\\overline{AB}=\overline{BC}\quad\implies\quad m\angle BCA=m\angle BAC=56^o\\\\m\angle ABC=180^o-2\cdot56^o=68^o[/tex]

[tex]m\angle DBE=m\angle ABC=68^o[/tex]   {vertical angles}

[tex]\overline{BD}=\overline{DE}\quad\implies\quad m\angle DEB=m\angle DBE=68^o\\\\m\angle x=180^o-2\cdot68^o=44^o[/tex]

Step-by-step explanation:

8/40 x 100% = 20%

Topic: percentage

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[tex]y=4x-2[/tex]

m = 4 and b = -2

Formula to find slope can be meant 2 ways.

( 1 ) m = rise/run

( 2 ) [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex] if it's a small text then it's m = y2-y1 / x2-x1

Answer:

8 angles are formed, and if angle one is 105° then angles 4, 5, and 8 are also 105°. and angles 2, 3, 6, and 7 would be 75°

Answer:

If two sides and the included angle of one triangle are equal to the corresponding sides and angle of another triangle, the triangles are congruent.

Answer:

x= 24

Step-by-step explanation:

Quotient means divide, increased means add

x/3 + 12 =20

Subtract 12 from each side

x/3 +12-12 = 20-12

x/3=8

Multiply each side by 3

x/3 * 3 =8*3

x= 24

Answer:700 / n, the quotient of 700 and a number. 2w, two times a ... h - 3, three less than a number ... 20 + m, 20 more than a number. x - 12, a number decreased by 12.

Step-by-step explanation:

Answer: 3(5x+27)

Step-by-step explanation:

15 and 81 are both divisible by 3.

Answer:

-5.4

Step-by-step explanation:

x= -81/15= -5.4

Answer:

the slope is zero

Step-by-step explanation:

Answer:

I think that: slope (m) = 0

Step-by-step explanation:

the equation of slope is m = y2-y1/x2-x1

so, y2 = -4, y1 = -4, and x2=-12, and x1= -6

Just substitute them into the equation:

m = -4 - -4 / -12- -16

m = 0

The slope is equal to 0

I hope this helps!

Answer:

-3.5

Step-by-step explanation:

mark on the left side of the number line where -3.5 is.

Answer:

True

Step-by-step explanation:

[tex]2^{3} <3^{2} \\2*2*2<3*3\\8<9[/tex]

Answer:

True

Step-by-step explanation:

Answer:

The third choice

Step-by-step explanation:

We need to find the slope and y-intercept of the line and then put it into y = mx = b form. To find the slope, pick a point on the line; I will use (-2, 5); count how many units up you need to go to get to the next point on the line, which in this case it would be 3. The count how many to the right or left you would need to go, which is 1 to the left. Moving left means a negative, so it is -1. Your slope fraction would be [tex]\frac{3}{-1}[/tex] , since slope is rise over run. You can sub this fraction in for m in y = mx + b, which will give you a revised equation of y = -3x = b. To find the y intercept, or b, just find the point where the line crosses the y-axis, which is -1. So, the equation is now y = -3x - 1.The correct answer is third choice.

Answer:

f(x) = x + 2

Step-by-step explanation:

(0, 2)

(2, 4)

Slope m = (4 - 2) / (2 - 0) = 1

y - 2 = 1(x - 0) ⇔ y = f(x) = x + 2

Answer:

Step-by-step explanation:

(B). - 28.7

Answer: E= 1.00q + 1,500

Step-by-step explanation:

Answer:$$4444

Step-by-step explanation:

Answer:

$75

Step-by-step explanation:

To find out how much George's mom paid for the 6 tickets, first find the unit rate, that is cost per ticket.

The unit rate/constant of proportionality between cost of tickets (y) and number of tickets (x) can be calculated using the coordinates of any points on the graph.

Using (4, 50), this means that 4 tickets cost $50.

Unit rate/constant of proportionality = y/x = 50/4 = 12.5

This means a ticket costs $12.5.

Therefore, 6 tickets would cost:

6 tickets × $12.5 = $75.

George's mom paid $75 for the tickets?

Answer:

8.938

Step-by-step explanation:

Answer:

dont at me if its wrong but i think its the second one

Step-by-step explanation:

She is not correct, because there are no solutions. (Option C).

An equation refers to any mathematical statement that contains the equality sign. Now we can see in the equation that there is a negative sign before the absolute value.

Now we have;

–|2x – 10| – 1 = 2

–|2x – 10| = 3

This is not possible because the absolute value does not return a negative value and the expression can never equal 3.

Thus, she is not correct, because there are no solutions.

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Answer:

The amount of money Jake had left after his purchase is $10.85

Step-by-step explanation:

The amount of Fruit Chews Jake selected = 1.6 pounds

The amount of Jelly Beans Jake selected = 2.6 pounds

The sales tax = $0.52

The amount of money Jake had to spend = $25

The table of values are;

Price Per Pound     [tex]{}[/tex]                  

Fruit Chews = $4.70

Jelly Beans = $2.35

Chocolate = $3.50

The amount of money Jake had to spend $25

The total amount of the candies Jake bought = 1.6 × $4.70 + 2.6 × $2.35 = $13.63

The total amount Jake spent = The total amount of the candies Jake bought + The sales tax

The total amount Jake spent = $13.63 + $0.52 = $14.15

The amount of money Jake had left after his purchase = The amount of money Jake had to spend - The total amount Jake spent

The amount of money Jake had left after his purchase =  $25 - $14.15 = $10.85

The amount of money Jake had left after his purchase = $10.85.

Answer:

y=-3x+2

Step-by-step explanation:

Same slope = parallel. You can aso double check this answer by either graphing using the desmos online graphing calculator or by plugging in the point into the equation y = -3(2) + 2 --> y = -6 + 2 --> y = -4, so we are correct.

Answer:

y=-3x+2

Step-by-step explanation:

In this equation the slope is the same as the original equation (-3), but has a different y-intercept meaning that this line is parallel. As for satisfying the requirement that the line is parallel and passes through (2,-4), I plugged the coordinates into the equation y=-3x+b to get  -4=-3(2)+b, and then found what b would have to equal to make the equation true.

(plus I put my answer into a graphing calculator to check my work)

Answer:

This is a function. Use y=mx+b equation

Step-by-step explanation:

To find the x and y values, simply plug in 0.98 to m. For every pound of peaches, you pay $0.98. The equation would be y=0.98x, where x is the number of pounds of peaches and y is the total cost.

Answer:

3. 7.2

4. 20

Step-by-step explanation:

Answer:

Step-by-step explanation:

TANGERINES

Answer:

of what ? finish the question

Answer:

It is 3

Step-by-step explanation:

I know it is 3 because multiply every nimber on the and you will get the number frome the bottom.

Answer:

[tex]f(x)=2x+1[/tex]

Step-by-step explanation:

At x=0, the y is at 1  

at x=1, y went up to 3

the change between 3 and 1 is 2 therefore the equation is

[tex]f(x)=2x+1[/tex]

I hope this helps you and good luck!