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liubo4ka [24]
3 years ago
9

sixty -four students are going on a field trip. There is 1 adult for every 8 students. how many adults are there

Mathematics
2 answers:
mina [271]3 years ago
7 0
64 students divided by 8 students for adult. 8 adults.
UNO [17]3 years ago
7 0
64 divided by 8 will equal to: 8 adults at the field trip.
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There is 1500 ft of fencing available to make 6 identical pens. Find the maximum area for EACH pen (meaning maximum of one pen).
hjlf

Answer:

The maximum area is therefore is 93750 ft²

Step-by-step explanation:

The given parameter are;

The a]length of fencing available = 1500 ft.

The perimeter of the figure = 9·x + 4·y

Therefore, 9·x + 4·y = 1500 ft.

The area of the figure = 6 × (x × y) = 3·x × 2·y

From the equation for the perimeter, we have;

9·x + 4·y = 1500

y = 1500/4 - 9/4·x = 375 - 9/4·x

y = 375 - 9/4·x

Substituting the value of y in the equation for the area gives;

Area = 3·x × 2·y = 3·x × 2·(375 - 9/4·x) = 2250·x - 27/2·x²

Area = 2250·x - 27/2·x²

The maximum area is found by taking the derivative and equating to zero as follows;

d(2250·x - 27/2·x²)/dx = 0

2250 - 27·x = 0

x = 2250/27 = 250/3

x = 250/3

y = 375 - 9/4·x = 375 - 9/4×250/3 = 187.5

The maximum area is therefore, 3·x × 2·y = 3 × 250/3 × 2 × 187.5 = 93750 ft²

The maximum area is therefore = 93750 ft.²

4 0
3 years ago
Simplify the exponential expression.
Sever21 [200]

Answer:

1

Step-by-step explanation:

Well you could use the exponential identity that: \frac{x^a}{x^b}=x^{a-b}

To determine: \frac{h^3}{h^3}=h^{3-3}

Which means that it's equal to: h^0

and since anything to the power of 0 (except 0) is equal to 1, then the value is 1.

But you can also just see that the numerator and denominator are the same exact value, and since dividing something by it self, results in 1, the answer must be 1, which is kind of a proof as to why h^0 = 1.

3 0
1 year ago
Read 2 more answers
The sum of 3 numbers is 1,305. The first number is 360. The second number is twice the first number. What is the third number?
olganol [36]

Answer:

the second number is 720 abd the third is 225

Step-by-step explanation:multiply 360 by 2 and subtract the sum by 1305 and get your answer

6 0
4 years ago
A CIRCLE HAS A CIRCUMFENCE 43.96 YD FIND THE RADUIS OF THE CIRCLE explain
AlekseyPX

Answer:

≈ 7

Step-by-step explanation:

8 0
3 years ago
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4.) Fill in the table to show a proportional relationship and then identify the
Lady bird [3.3K]

Answer/Step-by-step explanation:

✔️Number of Yoga classes = x

Cost ($) = y

Constant of proportionality (k) = y/x

Using the pair form the table of values given, (4, 60), find the constant of proportionality:

✅k = 60/4 = 15

Equation that represents the relationship between x and y is:

y = 15x

✔️Let's complete the table.

✅When number of yoga classes (x) = 2:

Substitute x = 2 into y = 15x

Thus,

y = 15*2 = 30

That is, 2 Yoga classes will cost $30

✅When number of yoga classes (x) = 6:

Substitute x = 6 into y = 15x

Thus,

y = 15*6 = 90

That is, 6 Yoga classes will cost $90

✅When number of yoga classes (x) = 8:

Substitute x = 8 into y = 15x

Thus,

y = 15*8 = 30

That is, 8 Yoga classes will cost $120

4 0
3 years ago
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