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Ira Lisetskai [31]
3 years ago
7

Peter jogs 3 miles in 27 minutes. Find the unit rate in minutes per mile.

Mathematics
2 answers:
padilas [110]3 years ago
5 0

Answer:

9 minutes per mile.

Step-by-step explanation:

3 miles takes 27 minutes, so:

1 mile takes 27/3 = 9 minutes.

lozanna [386]3 years ago
5 0

Answer: 1 mile per 9 minutes or 9 minutes per mile

Step-by-step explanation: "Per mile" means in 1 mile so we can rewrite the given statement using fractions.

To find out what goes in the blank, notice that we have a 1 in the denominator of our second fraction so we want to find a fraction that is equivalent to 27/3 that has a 1 in the denominator.

If we divide the numerator and denominator of 27/3 by 3, we get the equivalent fraction 9/1 or 9 minutes over 1 mile.

So now we have 9 minutes over 1 mile = ___ minutes over 1 mile.

So a 9 must go in the blank.

Therefore, the unit rate for 3 miles in 27 minutes is 1 mile per 9 minutes or 9 miles in 1 minute.

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What is the simplet form of 7<br> —<br> 12?
inysia [295]

Answer:

-5

Step-by-step explanation:

7−12

=7−12

=7+−12

=−5

6 0
3 years ago
Drag the tiles to the boxes to form correct pairs.<br> Match the pairs of equivalent expressions.
Rashid [163]

Answer:

The following pairs/results are matched:

  • 5\left(2t+1\right)+\left(-7t+28\right) = 3t+33
  • 3\left(3t-4\right)-\left(2t+10\right) = 7t-22
  • \left(4t-\frac{8}{5}\right)-\left(3-\frac{4}{3}t\right) = \frac{16t}{3}-\frac{23}{5}
  • \left(-\frac{9}{2}t+3\right)+\left(\frac{7}{4}t+33\right) = -\frac{11}{4}t+36

Step-by-step explanation:

Lets solve all the expressions to match the results.

  • 5\left(2t+1\right)+\left(-7t+28\right)

<em>Solving the expression</em>

5\left(2t+1\right)+\left(-7t+28\right)

\mathrm{Remove\:parentheses}:\quad \left(-a\right)=-a

5\left(2t+1\right)-7t+28

10t+5-7t+28

3t+33

Therefore, 5\left(2t+1\right)+\left(-7t+28\right) = 3t+33

  • 3\left(3t-4\right)-\left(2t+10\right)

<em>Solving the expression</em>

3\left(3t-4\right)-\left(2t+10\right)

9t-12-\left(2t+10\right)

9t-12-2t-10

7t-22

Therefore, 3\left(3t-4\right)-\left(2t+10\right) = 7t-22

  • \left(4t-\frac{8}{5}\right)-\left(3-\frac{4}{3}t\right)

<em>Solving the expression</em>

\left(4t-\frac{8}{5}\right)-\left(3-\frac{4}{3}t\right)

\mathrm{Remove\:parentheses}:\quad \left(a\right)=a

4t-\frac{8}{5}-\left(3-\frac{4}{3}t\right)

4t-\frac{8}{5}-\left(-\frac{4t}{3}+3\right)

4t-\frac{8}{5}-3+\frac{4t}{3}

As

-3-\frac{8}{5}:\quad -\frac{23}{5}    and  \frac{4t}{3}+4t:\quad \frac{16t}{3}

So,

4t-\frac{8}{5}-3+\frac{4t}{3} will become \frac{16t}{3}-\frac{23}{5}

Therefore, \left(4t-\frac{8}{5}\right)-\left(3-\frac{4}{3}t\right) = \frac{16t}{3}-\frac{23}{5}

  • \left(-\frac{9}{2}t+3\right)+\left(\frac{7}{4}t+33\right)

<em>Solving the expression</em>

\left(-\frac{9}{2}t+3\right)+\left(\frac{7}{4}t+33\right)

\mathrm{Remove\:parentheses}:\quad \left(a\right)=a

-\frac{9}{2}t+3+\frac{7}{4}t+33

\mathrm{Group\:like\:terms}

\frac{9}{2}t+\frac{7}{4}t+3+33

\mathrm{Add\:similar\:elements:}\:-\frac{9}{2}t+\frac{7}{4}t=-\frac{11}{4}t

-\frac{11}{4}t+3+33

-\frac{11}{4}t+36

Therefore, \left(-\frac{9}{2}t+3\right)+\left(\frac{7}{4}t+33\right) = -\frac{11}{4}t+36

Thus, the following pairs/results are matched:

  • 5\left(2t+1\right)+\left(-7t+28\right) = 3t+33
  • 3\left(3t-4\right)-\left(2t+10\right) = 7t-22
  • \left(4t-\frac{8}{5}\right)-\left(3-\frac{4}{3}t\right) = \frac{16t}{3}-\frac{23}{5}
  • \left(-\frac{9}{2}t+3\right)+\left(\frac{7}{4}t+33\right) = -\frac{11}{4}t+36

Keywords: algebraic expression

Learn more about algebraic expression from brainly.com/question/11336599

#learnwithBrainly

5 0
3 years ago
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An account earns simple interest. (a) Find the interest earned. (b) Find the
Debora [2.8K]

Answer:

#a. $80

#b. $1680

Step-by-step explanation:

We are given;

  • Amount invested (principal) is $1600
  • Rate of interest is 5%
  • Time = 1 year

We are required to determine the amount of simple interest earned and the amount or balance in the account after 1 year.

#a. Interest earned

To calculate simple interest we use the formula;

I = (PRT) ÷ 100

Where, P is the principal, R is the rate, T is the time and I is the simple interest.

Therefore;

I = (1600 × 5 × 1) ÷ 100

 = $80

Therefore, simple interest earned is $80

#b. Balance of the account (Amount accrued)

We are going to use the formula;

A = P + I , where A is the amount accrued, P is the principal and I is the simple interest earned.

Therefore;

Account balance = $1600 + $80

                            = $1680

Thus, the account balance after 1 year will be $1680

8 0
3 years ago
What is the common ratio of the geometric sequence pt.1​
MaRussiya [10]

Answer:

The common ratio is -6

Step-by-step explanation:

The given sequence is

\frac{1}{18},-\frac{1}{3},2,-12,...

The common ratio can be found using any two consecutive terms of the geometric sequence.

r=\frac{-12}{2}=-6

The correct answer is the last choice.

6 0
3 years ago
Read 2 more answers
Can some help me with for 100%
Dmitriy789 [7]

Answer:

188.4954 cm^2

3 0
3 years ago
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