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3 years ago

five eights of the people on a hike were children. there are 20 children on the hike. how many people total

Mathematics

1 answer:

Lelu [443]3 years ago

5 0

Answer:

There were a total of 32 people on the hike.

Step-by-step explanation:

Represent the number of people total by p. Then:

(5/8)p = c = the number of children

Since there are 20 children on the hike, (5/8)p must equal 20:

(5/8)p = 20

Solve for p by multiplying both sides by (8/5):

(8/5)(5/8)p = 20(8/5), or

p = 32

There were a total of 32 people on the hike.

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50 points! I understand A. and B. but I would really appreciate help with C.

FromTheMoon [43]

Answer:

$51.72\text{ cells per hour}$

Step-by-step explanation:

So, the function, P(t), represents the number of cells after t hours.

This means that the derivative, P'(t), represents the instantaneous rate of change (in cells per hour) at a certain point t.

So, we are given that the quadratic curve of the trend is the function:

$P(t)=6.10t^2-9.28t+16.43$

To find the <em>instanteous</em> rate of growth at t=5 hours, we must first differentiate the function. So, differentiate with respect to t:

$\frac{d}{dt}[P(t)]=\frac{d}{dt}[6.10t^2-9.28t+16.43]$

Expand:

$P'(t)=\frac{d}{dt}[6.10t^2]+\frac{d}{dt}[-9.28t]+\frac{d}{dt}[16.43]$

Move the constant to the front using the constant multiple rule. The derivative of a constant is 0. So:

$P'(t)=6.10\frac{d}{dt}[t^2]-9.28\frac{d}{dt}[t]$

Differentiate. Use the power rule:

$P'(t)=6.10(2t)-9.28(1)$

Simplify:

$P'(t)=12.20t-9.28$

So, to find the instantaneous rate of growth at t=5, substitute 5 into our differentiated function:

$P'(5)=12.20(5)-9.28$

Multiply:

$P'(5)=61-9.28$

Subtract:

$P'(5)=51.72$

This tells us that at <em>exactly</em> t=5, the rate of growth is 51.72 cells per hour.

And we're done!

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3 years ago

Help what’s the rule

solong [7]

Doubling or quadruple

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Lexi needs 144 beads. A large box holds 100 beads. A medium box holds 10 beads. A small box holds 1 bead. Lexi already had 1 lar

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3 years ago

Read 2 more answers

If I plan to run 400 yards and I have completed 80%, how many yards do I have left?

Dimas [21]

Answer:

You have 80 yards left to run.

Step-by-step explanation:

To solve this problem, we first must realize that if you have completed 80% of the run, that you have 20% left (this is because 100%-80% = 20%).

Next, we must find 20% of 400 yards. We must remember that in math, the word "of" represents multiplication. We also know that 20% = 20/100 = 0.2.

To find 20% of 400 yards, we can perform the following operation:

20% * 400

0.2 * 400

Therefore, you have 80 yards left.

Hope this helps!

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3 years ago

Find the value of n.

myrzilka [38]

Answer:

127

Step-by-step explanation:

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