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3 years ago

The school store sells packs of 12 pens for $2.40. Which is NOT a unit rate to describe this sale?

Mathematics

2 answers:

padilas [110]3 years ago

7 0

The answer is D.

120 divided by 24 would not give you the price of ONE pen

lys-0071 [83]3 years ago

6 0

<span> Which is NOT a unit rate to describe this sale?

answer is
</span><span>D. 120 pens per 24 dollars</span>

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The sum of 4 consecutive numbers is 926. Find the four numbers

Kisachek [45]

Answer:231.5

Step-by-step explanation:

If you divide 926 by 4 you will get 231.5

6 0

3 years ago

Two trains begin in Milford and end in Pinkerton, which is 300 miles away. Train A leaves Milford at 10:00 a.M. And travels at a

cluponka [151]

Answer:

B. Train B

Step-by-step explanation:

We are told that Milford and Pinkerton is 300 miles away.

Train A leaves Milford at 10:00 am. There are 3 hours between 10:00 am to 1:00 pm. So let us find distance traveled by train A in 3 hours.

$\text{Distance}=\text{Speed*Time}$

$\text{Distance traveled by train A}=90\frac{\text{ miles}}{\text{ hour}}\times 3\text{ hours}$

$\text{Distance traveled by train A}=90\times 3{\text{ miles}$

$\text{Distance traveled by train A}=270{\text{ miles}$

Since train A will cover 270 miles in 3 hours and distance between Milford and Pinkerton is 300 miles, therefore, train A will not arrive Pinkerton before 1:00 pm.

Since there are 5 hours between 8:00 am to 1:00 pm, so let us find distance traveled by train B in 5 hours.

$\text{Distance traveled by train B}=70\frac{\text{ miles}}{\text{ hour}}\times 5\text{ hours}$

$\text{Distance traveled by train B}=70\times 5 \text{ miles}$

$\text{Distance traveled by train B}=350\text{ miles}$

Since train B will cover 350 miles in 5 hours, therefore, train B will arrive Pinkerton before 1:00 pm and option B is the correct choice.

5 0

4 years ago

The ideal temperature of a freezer to store a particular brand of ice cream is 0°F, with a fluctuation of no more than 2°F. Whic

yan [13]

Answer:

| x - 0 | ≤ 2

Step-by-step explanation:

Given,

The ideal temperature of the freezer = 0° F,

Also, it can fluctuate by 2° F,

Thus, if x represents the temperature of the freezer,

Then, there can be two cases,

Case 1 : x > 0,

⇒ x - 0 ≤ 2

Case 2 : If x < 0,

⇒ 0 - x ≤ 2,

⇒ -( x - 0 ) ≤ 2,

By combining the inequalities,

We get,

| x - 0 | ≤ 2,

Which is the required inequality.

8 0

4 years ago

Write each fraction as the sum of a whole number and a fraction less than 1

Tpy6a [65]

Given:

The fractions are:

$\dfrac{6}{5},\dfrac{11}{7},\dfrac{21}{4}$

To find:

The each fraction as the sum of a whole number and a fraction less than 1.

Solution:

The given fraction is $\dfrac{6}{5}$ .

$\dfrac{6}{5}=\dfrac{5+1}{5}$

$\dfrac{6}{5}=\dfrac{5}{5}+\dfrac{1}{5}$

$\dfrac{6}{5}=1+\dfrac{1}{5}$

Therefore, the given fraction $\dfrac{6}{5}$ can be written as $1+\dfrac{1}{5}$ .

The given fraction is $\dfrac{11}{7}$ .

$\dfrac{11}{7}=\dfrac{7+4}{7}$

$\dfrac{11}{7}=\dfrac{7}{7}+\dfrac{4}{7}$

$\dfrac{11}{7}=1+\dfrac{4}{7}$

Therefore, the given fraction $\dfrac{11}{7}$ can be written as $1+\dfrac{4}{7}$ .

The given fraction is $\dfrac{21}{4}$ .

$\dfrac{21}{4}=\dfrac{20+1}{4}$

$\dfrac{21}{4}=\dfrac{20}{4}+\dfrac{1}{4}$

$\dfrac{21}{4}=5+\dfrac{1}{4}$

Therefore, the given fraction $\dfrac{21}{4}$ can be written as $5+\dfrac{1}{4}$ .

7 0

3 years ago

Find the cost function for the marginal cost function. C(x) =0.06 e 0.08x; fixed cost is $10 C(x)=_______

sashaice [31]

Answer:

The cost function for $C(x) = 0.06\cdot e^{0.08\cdot x}$ is $c(x) = 0.75\cdot e^{0.08\cdot x}+10$ .

Step-by-step explanation:

The marginal cost function ( $C(x)$ ) is the derivative of the cost function ( $c(x)$ ), then, we should integrate the marginal cost function to find the resulting expression. That is: