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kenny6666 [7]
2 years ago
10

I will give brainliest

Mathematics
1 answer:
alex41 [277]2 years ago
3 0

Answer:

x = 1.25

y = 1.75

Step-by-step explanation:

Since, the line that is 8 units long is parallel to the line that is ten units long.

Therefore, both the triangles are similar by AA postulate.

Corresponding sides of of the similar triangles are in proportion.

Therefore,

\frac{5}{x + 5}  =  \frac{7}{y + 7}  =  \frac{8}{10}  \\  \\  \implies \frac{5}{x + 5}  =  \frac{8}{10}  \\  \\ 5 \times 10 = 8(x + 5) \\  \\ 50 = 8x + 40 \\  \\ 50 - 40 = 8x \\  \\ 10 = 8x \\  \\  \frac{10}{8}  = x \\  \\ x = 1.25 \\  \\  \\ \frac{7}{y + 7}  =  \frac{8}{10} \\  \\ 7 \times 10 = 8(y + 7) \\  \\ 70 = 8y + 56 \\  \\ 70 - 56 = 8y \\  \\ 14 = 8y \\  \\  \frac{14}{8}  = y \\  \\ y = 1.75

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the telephone company offers two billing plans for local calls. Plan 1 charges $29 per month for unlimited calls and Plan 2 char
kodGreya [7K]

Answer:

Step-by-step explanation:

Plan 2: x= number of months

y= the cost per call

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76 + 0.8

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4 0
3 years ago
10. At the end of the day, Mandy sold the rest of her hot dogs at her hot dog stand for half price. 50
vekshin1

Answer:

56

Step-by-step explanation:

Firstly, we know she sold 24 hot dogs at half price. We do not know the total number of hot dogs.

Secondly, we know that 30% of the hot dogs were sold at half of the price. This means 70% were sold at full price.

Now there are two approaches to this. I'm going to take the easier one.

What we are expressing mathematically is that 30% of a certain number equals 24. Let the total number of hot dogs she had that day at her stand be x.

This mean 30% of x = 24.

30/100 × x = 24

30x = 24× 100

30x = 2,400

x = 2,400/30 = 80.

This means she had a total of 80 hot dogs that day. Since we know the number she sold at half price, it's now easy to calculate the number she sold at full price.

This number now equals 80 - 24 = 56 hot dogs.

This mean Mandy sold 56 hot dogs at full price.

4 0
3 years ago
How can you express (16 + 40) as a multiple of a sum of whole numbers with no common factor?
Orlov [11]

The answer is B


4(4+10)


4*4=16


4*10=40 which will give you (16+40)

5 0
3 years ago
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