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soldier1979 [14.2K]
3 years ago
12

Samantha sends her son, Barry, to a preschool center on certain days. The cost of preschool is $45 per day along with a fixed mo

nthly charge of $70. Last month, Samantha paid a total of $880 to the preschool center. Let d represent the number of days Barry spent at the preschool center last month. Which equation represents this situation, and how many days did Barry attend preschool last month?
A. 880 = 90d + 45; 9 days

B. 880 = 70d - 45; 21 days

C. 810 = 45d; 19 days

D. 880 = 45d + 70; 18 days
Mathematics
1 answer:
Hatshy [7]3 years ago
6 0

Answer: Option D

D. 880 = 45d + 70; 18 days

Step-by-step explanation:

We know that the cost of preschool is $ 45 per day plus a monthly fee of $ 70.

We also know that a total of $ 880 was paid last month

To write an equation that represents this situation, let us call d the number of days that Barry attends school

So the cost was:

45d + 70 = 880

Now we solve the equation for the variable d

45d= 880-70

45d= 810

d= \frac{810}{45}

d= 18\ days

The answer is the option D

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Pqr is similar to xyz what is the perimeter of xyz? A.21cm B.63cm C. 105cm D.126cm
skelet666 [1.2K]

Answer:

option D. 126 cm

Step-by-step explanation:

step 1

Find the scale factor

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor

In this problem

Triangles PQR and XYZ are similar by AA Similarity Theorem

so

\frac{XY}{PQ}=\frac{YZ}{QR}=\frac{XZ}{PR}

Let

z ---> the scale factor

z=\frac{XY}{PQ}

substitute the given values

z=\frac{30}{5}=6

step 2

Find the perimeter of triangle XYZ

we know that

If two figures are similar, then the ratio of its perimeters is equal to the scale factor

Let

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