Heidi is saving for a new bike. She has already saved $57. If Heidi earns$9 per hour babysitting, how many hours does she need to babysit to
afford the bike which costs $129? Write and solve a linear function to solve.
Type your answer as an integer.

Answers

Answer 1
Answer:

Heidi needs to babysit for 8 hours to afford the new bike.

What is the linear equation?

The linear equation is the algebraic form of equation whose variable has the exponent of one. It is the combination of two variables and a constant value present in them.

For the given situation,

Heidi's savings = $57

Amount for babysitting per hour = $9

Total cost of the bike = $129

Let us consider 'x' for hours she needs to babysit.

This can be represented as linear equation as

57 +9h=129

9h=129-57

9h=72

h=8

Hence we can conclude that Heidi needs to babysit for 8 hours to afford the new bike.

Learn more about linear equation here

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Answer 2
Answer:

Answer:

8 hours

Step-by-step explanation:

57 + 9h = 129

9h = 72

h = 8


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How is table helpful when constructing equations?

Answers

Answer:

The numbers in a table are often the x and y values that are true for the line, which means the x and y values correspond to the coordinates of points on the line.

Given that a line equation is y=m x+b, the x and y values are numbers that can be used to arrive at the unknowns, such as the slope(m) and the y-intercept(b).

with the help of two points/coordinates we could find the slope of a line and the 3rd coordinate could be used to find the y-intercept.


Given that (-4,3) and (6,-3) are opposites points on the circle (i.e diameter) write the equation of the circle

Answers

The center of the circle is the midpoint of the points or ((-4+6)/2,(-3+3)/2)=(1,0). Now, the diameter is the distance between the points. Using distance formulas (or noticing that the y-values are the same so it is a horizontal line), the distance is 10. Therefore, the radius is 5. The equation of a circle is (x-a)^2+(y-b)^2=r^2 where (a,b) is the center. Therefore, the equation is (x-1)^2+(y-0)^2=5^2.

Remmi wrote the equation of the line y=1/3(x+2) He solved for x and got x=3y-2 Which of the following is an equivalent equation for x?a. x=y-11/3
b. x=y+7/3
c. x=3(y-2/3)
d. x=3(y+2/3)

Answers

Answer:

Option c is correct

x = 3(x - (2)/(3))

Step-by-step explanation:

Remmi wrote the equation of the line :

y = (1)/(3)(x+2)

Multiply both sides by 3 we have;

3y = x+2

Subtract 2 from both sides we have;

3y-2 = x

or

x = 3y-2

We can write this as:

x = 3(x - (2)/(3))

Therefore,  the following is an equivalent equation for x is, x = 3(x - (2)/(3))

Just took the quiz.

The answer is x=3(y-2/3)

How are transformations affected by specific values of a constant

Answers

Adding a constant term to the value of a function could either result to an upward or downward shifts. On the other hand, it may also shift to left or to the right. Functions play a role on transformation as it will display how the graph is moved around.

The equation for the cost in dollars of producing computer chip is y = .000015x^2 - .03x +35. Where X is the number of chips produced. Find the number of chips that minimizes the cost. What is the cost for that number of chips?

Answers

Answer:

The equation for the cost in dollars of producing computer chips

The equation for the cost in dollars of producing computer chips is C = 0.000015x^2 - 0.03x + 35, where x is the number of chips produce. Find the number of chips that minimizes the cost.

Step-by-step explanation:

There are 18 rows of seats in the auditorium. There are 24 seats in each row. How many seats are in the auditorium in all?

Answers

Lets look at the info we have:-

18 rows
24 seats per row 

Question:- 
How many seats in all?

Solve:-

18 × 24 = 432
432 seats in the auditorium

CHECK OUR WORK:- 

432 ÷ 18 = 24
We were RIGHT!!!

So, there are 432 seats in the auditorium.

Hope I helped ya!!! xD
u will multiply 18rows x 24seats = 432 seats