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rosijanka [135]
3 years ago
8

"The Martin family's truck gets an average of 25 miles per gallon of fuel. Predict how many miles they will be able to get from

7 gallons of fuel by using equivalent rates." (Explain with fractions/ equivalent rate in detail pls)
Mathematics
1 answer:
Murrr4er [49]3 years ago
3 0

Answer:

175 miles

Step-by-step explanation:

Average of 25 miles per gallon of fuel

Miles : gallons = 25 : 1

Predict how many miles they will be able to get from 7 gallons of fuel by using equivalent rates

Let x = number miles

Miles : gallons = x : 7

To find x

25 : 1 = x : 7

25/1 = x/7

Cross product

25*7 = 1*x

175 = x

x = 175 miles

Number miles = 175

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Question 3 (2 points)
djverab [1.8K]

Answer:

Hypothesis

a. If two integers are even

Conclusion

b. then their sum is even

Step-by-step explanation:

We divide the statement into two parts . The first part is true only when the second is also true. The only way we can reject the hypothesis is that the conclusion is false.

In the statement "If two integers are even, then their sum is even" the part "If two integers are even" would be considered true or false on the basis of "then their sum is even" validity. So if the "then their sum is even" (conclusion )  Part is proved then the "If two integers are even" ( hypothesis) is also true.

Hence the hypothesis is

a. If two integers are even

and

Conclusion is

b. then their sum is even

8 0
3 years ago
For what value of a does <br> ( 1/9) ^a+1 •27^2-a ?<br><br> O-4<br> O-2<br> O 2<br> O 6
astra-53 [7]
<h2>>>Exponent</h2>

__________

\:

( \frac{1}{9} ) {}^{a + 1}  =  {27}^{2 - a}

( {3}^{ - 2} ) {}^{a + 1}  =  ( {3}^{3}  ) {}^{2 - a}

\cancel{ {3}}^{ - 2a - 2}  =   \cancel{{3}}^{6 - 3a}

-2a - 2 = 6 - 3a

-2a + 3a = 6 + 2

a = 8✔

6 0
3 years ago
Brendan worked 7 11/12 hours on Saturday, on Sunday he worked 84% of the hours he worked on Saturday. How many total hours do he
Vesnalui [34]

Answer:

14\frac{17}{30}hrs

Step-by-step explanation:

Given parameters:

Time worked on Saturday = 7\frac{11}{12}

Unknown:

Total hours he worked last weekend  = ?

Solution:

Since Brendan worked 84% of the time he worked on Saturday on Sunday;

 Time worked on Sunday  = \frac{84}{100}  x \frac{95}{12}   = \frac{133}{20}  

Total time worked last weekend  = Time worked on Saturday + Time worked on Sunday;

Total time worked  =  \frac{95}{12}  +  \frac{133}{20}  

Total time worked = \frac{475 + 399}{60}

Total time worked  = \frac{874}{60}  

Total time worked = \frac{437}{30}   = 14\frac{17}{30}hrs

7 0
3 years ago
the form ula for the area of a circle can be found by using a parallelogram. explain the way to derive the formula​
vladimir2022 [97]

Answer:

Explanation: As you make the segments smaller and smaller, the parallelogram becomes more of a rectangle with shorter side equal to the radius of the circle r and longer side πr - half of the circumference of the circle. Hence we get the formula πr2 for the area of a circle of radius r .

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Find the dimensions of a rectangle whose perimeter is 42 m and whose area is 104 m squared
julia-pushkina [17]
P=42 m
1/2 of P=21
1/2 of P= l+w
21=13+8
A=13×8
A=104 m^2. As a result, the length is 13 m, and the width is 8 m. Hope it help!
6 0
3 years ago
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