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laila [671]
3 years ago
11

An after-school care facility tries to maintain a 2-to-1 ratio of children to adults. If the facility hired five adults, what is

the maximum number of children that can enroll?
Mathematics
1 answer:
astra-53 [7]3 years ago
3 0

Answer:

10 children

Step-by-step explanation:

If we have a ratio of 2:1 children:adults, then we can find out how many children max can enroll if there are 5 adults.

Our original ratio was 2:1 and now it's x:5, assuming x is the number of children enrolled. We multiply 1 by 5 to get to 5, so we need to multiply 2 by 5 to get the total number of chlidren.

2 × 5 = 10

Hope this helped!

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What is the surface area of a square prism with sides that measure 8 units?
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Answer:

<em>The surface area of square prism = 384 units squared</em>

Step-by-step explanation:

<u><em>Explanation</em></u>:-

<em>Given the square prism side 'a' = 8 units</em>

<em>The surface area of square prism = 2 a² + 4 a h</em>

Given square prism length , width and height also equal identical sides

The surface area of square prism = 2 a² + 4 a h

                                                        = 2(8)² + 4 (8)(8)

                                                        = 2(64) + 4(64)

                                                       = 384 units squared

<u><em>Final answer</em></u>:-

<em>The surface area of square prism = 384 units squared</em>

5 0
3 years ago
What is the slope of a line that is perpendicular to the line whose equation is 3x+5y=4?
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Answer:

5/3 or 1.67

Step-by-step explanation:

Find the slope of the original line

3x+5y=4                Subtract 3x from both sides

5y = - 3x + 4           Divide both sides by 5

y = (-3/5)x + 4

The original line has a slope of - 3/5 or - 0.6

Find the slope of the perpendicular line

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m1 = - 3/5

m2 = -1/(-3/5)

m2 = 5/3

The slope of the perpendicular line is

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Step-by-step explanation:

We need to find factors of x^3 -1

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So, the factors of x^3-1 are x^3 -1 = (x-1) (x^2 +x+1)\\

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