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sattari [20]
4 years ago
6

Solving a word problem involving rates and time conversion

Mathematics
1 answer:
Grace [21]4 years ago
6 0

Answer:

3.5 minutes

Step-by-step explanation:

32x=112

112/32

x=3.5 minutes

You might be interested in
How to find two consecutive integers for a product of 1295?
attashe74 [19]
Let the first integer be x; then the second is x+1.

The product of x and x+1 is x(x+1), and this product must equal 1295.

Thus, x^2 + x = 1295, or x^2 + x - 1295 = 0

Solve for x by completing the square:

          x^2 + x + (1/2)^2 - (1/2)^2 - 1295 = 0

           (x-1/2)^2 - 1/4 - 1295 = 0, or (x-1/2)^2 -5181/4 = 0, 
 
                Thus, x-1/2 = sqrt(5181/4), and so 

                           x      =  1/2+sqrt(5181/4) = 25.45

This could NOT be correct, since x and x+1 are CONSECUTIVE INTEGERS.

CHECK to ensure that you have copied down this problem correctly.

7 0
3 years ago
The distance from the school to the library is 12 miles. The distance from the school to the park is 75% of this distance.
strojnjashka [21]
75% of 12 can be represented with the equation 75/100=x/12

Then to solve
75(12)= 100x
900 = 100x
9=x

So the distance from the school to the park is 9 miles.
8 0
4 years ago
Read 2 more answers
What function is graphed below?<br><br><br><br> y = 2x<br> y = x + 3<br> y = 2x + 3<br> y = 2x + 2
vagabundo [1.1K]

Answer:

y=2x+3

Step-by-step explanation:

The coefficient has to be 2, since the graph has a slope of 2, and the constant has to be 3 because the y- intercept is 3.

y=2x+3

3 0
3 years ago
Read 2 more answers
What two positive real numbers whose product is 21 have the smallest possible​ sum?
GalinKa [24]

Answer:

x=\sqrt{21}

y=\sqrt{21}

Step-by-step explanation:

Let x  and y are the two positive real numbers

product of two numbers is 21

x y=21

y=\frac{21}{x}

The sum of the two numbers is f(x) =x+y

Replace y with 21/x

f(x) =x+\frac{21}{x}

we need to find smallest possible sum , so we take derivative using power rule

f'(x)= 1-\frac{21}{x^2}

when sum is minimum then the derivative is equal to 0

0= 1-\frac{21}{x^2}

0=\frac{x^2-21}{x^2}

multiply both sides by x^2

x^2-21=0

x^2=21

Take square root on both sides

x=\sqrt{21}

y=\frac{21}{x}

y=\frac{21}{\sqrt{21}}

y=\sqrt{21}

3 0
4 years ago
I'll mark brainliest for the first correct answer
Anestetic [448]

Area of circle = A = πr2 = π × 42 ≈ 50.26548 yard²

<em>-</em><em> </em><em>BRAINLIEST</em><em> answerer</em>

4 0
3 years ago
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