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3 years ago

Francis ran 2 1/2 miles in 7/12 of an hour. How many miles can francis run in one hour?

Mathematics

2 answers:

nevsk [136]3 years ago

8 0

7/12 of 1 hour:

1 hour = 60 min.

7/12 * 60

7 * 5 = 35

Francis ran 2 1/2 miles in 35 min.

2 1/2 = 5/2

5/2 miles = 35 min

x miles = 60 min

(Cross Multiply)

5/2 * 60 = 35x

5 * 30 = 35x

150 / 35 = x

x = 30 / 7 = 4 2/7 miles

Francis ran 4 2/7 miles in one hour.

Artyom0805 [142]3 years ago

4 0

Since a fraction multiplied by the the numbers flipped (in this case, it's 12/7) gets you one, you have to multiply both 2 and 1/2 and 7/12 by 12/7 you get 4 and 4/14 miles ran in 2 hour

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Thomas has some leftover paint that he would like to sell. He mixes 4 gallons of blue paint with 6

daser333 [38]

Answer:

10 cans

Step-by-step explanation:

4 blue gallons + 6 white gallons = 10 gallons total. each gallon fills one can. that's ten total cans

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3 years ago

−4x+7y+5=0<br> x−3y=−5<br> <br><br> How many solutions does the system have?

xeze [42]

Solution:

Using Substitution Method:

-4x+7y=-5 (Equation 1)

x-3y=-5 (Equation 2)

get the value of x from Equation 2

x=3y-5 (Equation 3)

Put the value of x from Equation 3 in Equation 1

-4(3y-5)+7y=-5

-4(3y)+20+7y=-5

-12y+7y=-5-20

-5y=-25

Negative sign on both sides cancels each other

y=25/5

y=5

Putting value of y in equation 3

x=3(5)-5

x=15-5

x=10

Therefore, [x,y]=[10,5]

Using Elimination Method

-4x+7y=-5 (Equation 1)

x-3y=-5 (Equation 2)

Multiply equation 2 with -4 in order to eliminate the x term

-4(x-3y)=-5*4

-4x+12y=20 (Equation 3)

Adding Equation 1 and 3

-4x+7y=-5

-4x+12y=20

+ - = - (Change Of Sign with x and y terms)

-----------------

0x-5y = -25

-5y=-25

y=5

Substituting y’s value is Equation 1

-4x+7(5)=-5

-4x+35=-5

-4x=-40

Cancellation of negative sign on both sides

x=40/4

x=10

[x,y]=[10,5]

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3 years ago

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uysha [10]

1,000 x .2 = 200 speak spanish

6 0

3 years ago

Read 2 more answers

which of the fallowing functions has a slope 3/2 and contains the midpoint segment between (6, 3) and (-2, 11)?

kolbaska11 [484]

Well, we know the slope is 3/2, what's the midpoint of those anyway?

$\bf \textit{middle point of 2 points }\\ \quad \\
\begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
% (a,b)
&({{ 6}}\quad ,&{{ 3}})\quad 
% (c,d)
&({{ -2}}\quad ,&{{ 11}})
\end{array}\qquad
% coordinates of midpoint 
\left(\cfrac{{{ x_2}} + {{ x_1}}}{2}\quad ,\quad \cfrac{{{ y_2}} + {{ y_1}}}{2} \right)
\\\\\\
\left( \cfrac{-2+6}{2}~~,~~\cfrac{11+3}{2} \right)\implies (2,7)$

so, what's the equation of a line whose slope is 3/2 and runs through 2,7?

$\bf \begin{array}{lllll}
&x_1&y_1\\
% (a,b)
&({{ 2}}\quad ,&{{ 7}})
\end{array}
\\\\\\
% slope = m
slope = {{ m}}= \cfrac{rise}{run} \implies \cfrac{3}{2}
\\\\\\
% point-slope intercept
\stackrel{\textit{point-slope form}}{y-{{ y_1}}={{ m}}(x-{{ x_1}})}\implies y-7=\cfrac{3}{2}(x-2)
\\\\\\
y-7=\cfrac{3}{2}x-3\implies y=\cfrac{3}{2}x+4$

4 0

3 years ago

The distribution of the amount of a certain brand of soda in 16 OZ bottles is approximately normal with a mean of 16.12 OZ and a

elena-14-01-66 [18.8K]

Answer: 90.82%

Step-by-step explanation:

Given : The distribution of the amount of a certain brand of soda in 16 OZ bottles is approximately normal .

Mean : $\mu=16.12\text{ OZ}$