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2 years ago

Cheryl bought 16 pounds of apples for $12. How much did it cost per

Mathematics

2 answers:

algol [13]2 years ago

8 0

Answer:

.75

Step-by-step explanation:

$12 / 16 = $0.75

kipiarov [429]2 years ago

7 0

$0.75 is your answer if you just multiply

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The projected rate of increase in enrollment at a new branch of the UT-system is estimated by E ′ (t) = 12000(t + 9)−3/2 where E

nexus9112 [7]

Answer:

The projected enrollment is $\lim_{t \to \infty} E(t)=10,000$

Step-by-step explanation:

Consider the provided projected rate.

$E'(t) = 12000(t + 9)^{\frac{-3}{2}}$

Integrate the above function.

$E(t) =\int 12000(t + 9)^{\frac{-3}{2}}dt$

$E(t) =-\frac{24000}{\left(t+9\right)^{\frac{1}{2}}}+c$

The initial enrollment is 2000, that means at t=0 the value of E(t)=2000.

$2000=-\frac{24000}{\left(0+9\right)^{\frac{1}{2}}}+c$

$2000=-\frac{24000}{3}+c$

$2000=-8000+c$

$c=10,000$

Therefore, $E(t) =-\frac{24000}{\left(t+9\right)^{\frac{1}{2}}}+10,000$

Now we need to find $\lim_{t \to \infty} E(t)$

$\lim_{t \to \infty} E(t)=-\frac{24000}{\left(t+9\right)^{\frac{1}{2}}}+10,000$

$\lim_{t \to \infty} E(t)=10,000$

Hence, the projected enrollment is $\lim_{t \to \infty} E(t)=10,000$

8 0

2 years ago

Find the value of y round your answer to the nearest tenth cos y y=8/13

Iteru [2.4K]

8/13 = 0.6153

y = cos-1(0.6153)

y = 52.0

I'm not totally sure if this is what you mean or if this is.

y = cos(8/13) = 0.9999 which to the nearest tenth is 1.0

7 0

3 years ago

Read 2 more answers

granola bite contains 27 calories. Most of the calories come from grams of carbohydrates. The rest come from other ingredients.

azamat

Answer:

5 1/2

Step-by-step explanation:

The calories contained are from grams of carbohydrates and other ingredients

One gram of carbohydrate contains 4 calories

The equation 4c + 5 = 27 represents the relationship between these quantities.

1. 5 from the equation represent calories from other ingredients

2. Neither 8 nor 3 is the solution to the equation

4c + 5 = 27

When 8 is the solution

4(8)+5=27

32+5=27

37=27

When 3 is the solution

4(3)+5=27

12+5=27

17=27

Neither 8 nor 3 is the solution to the equation because 8 gives a higher calories in the granola bite and 3 gives a lower calories in the granola bite.

3. Solution to the equation

4c + 5 = 27

4c= 27-5

4c = 22

Divide both sides by 4

c=22/4

=5 2/4

=5 1/2

The solution to the equation is 5 1/2

7 0

3 years ago

What is the ratio of 6:2

s2008m [1.1K]

The ratio of 6:2= 3:1

3 0

2 years ago

You multiply two integers. You increase one of them by 1 and decrease the other

snow_tiger [21]

Integers are numbers without decimals

The integers could you have multiplied are 9 and 2

Let the numbers be x and y

So, we have:

$\mathbf{x \times y}$

Increase x by 1 and reduce y by 1.

So, we have

$\mathbf{(x +1) \times (y -1) = 6 + xy }$

Open brackets

$\mathbf{xy -x + y - 1 = 6 + xy}$

Subtract xy from both sides

$\mathbf{ -x + y - 1 = 6}$

Collect like terms

$\mathbf{ -x + y = 6 + 1}$

$\mathbf{ -x + y = 7}$

Rewrite as:

$\mathbf{ y -x= 7}$

The above means that, the difference between the integers is 7.

There are several integers that fit the above <em>description</em>;

One possibility is: 9 and 2