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2 years ago

Please help Me ASAP Please

Mathematics

1 answer:

oksian1 [2.3K]2 years ago

7 0

Answer:

217/31=7. He needs to run 7 miles per day.

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Sove the equation and verify

Nostrana [21]

Let's break the equation in several step to make things more clear: first of all, the numerator of the left hand side simplifies to

$\dfrac{2x}{3}-\dfrac{1}{2} = \dfrac{4x-3}{6}$

Similarly, the denominator becomes

$\dfrac{3x}{4}-\dfrac{1}{2} = \dfrac{3x-2}{4}$

Dividing by a fraction means to multiply by the inverse of that fraction:

$\dfrac{\frac{a}{b}}{\frac{c}{d}} = \dfrac{a}{b}\cdot\dfrac{d}{c}$

So, in your case, we have

$\dfrac{\frac{2x}{3}-\frac{1}{2}}{\frac{3x}{4}-\frac{1}{2}} = \dfrac{\frac{4x-3}{6}}{\frac{3x-2}{4}} = \dfrac{4x-3}{6}\cdot \dfrac{4}{3x-2} = \dfrac{2(4x-3)}{3(3x-2)} = \dfrac{8x-6}{9x-6}$

So, the equation has become

$\dfrac{8x-6}{9x-6} = \dfrac{4}{3}$

Multiply both sides by 3(9x-6):

$3(8x-6) = 4(9x-6) \iff 24x-18 = 36x-24$

Subtract 24x from both sides, and add 18 to both sides:

$36x-24x = 24-18 \iff 12x=6 \iff x = \dfrac{1}{2}$

8 0

3 years ago

X-3 / 4 = r/4<br><br> pls show the steps and the answer for this problem

Dima020 [189]

$\\ \rm\longmapsto \dfrac{x-3}{4}=\dfrac{x}{2}$

$\\ \rm\longmapsto 2(x-3)=4x$

$\\ \rm\longmapsto x-3=\dfrac{4x}{2}$

$\\ \rm\longmapsto x-3=2x$

$\\ \rm\longmapsto x-2x=3$

$\\ \rm\longmapsto -x=3$

$\\ \sf\longmapsto x=-3$

8 0

3 years ago

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Describe and correct the error in writing an equation of the line with a slope of 2 and a y-intercept of 7.

olganol [36]

Answer:

The mistake they made was they switched the slope and y-intercept.

The correct answer is y=2x+7 because when we write an equation in slope intercept form (y=mx+b) you replace m with the slope and b with the y-intercept.

Hope this helps! <3

8 0

2 years ago

The scale for the drawing of a rectangular playing field is 2 inches=7 feet. Find an equation you can use to find the dimensions

lina2011 [118]

Answer:

The actual answer is 7/2

Step-by-step explanation:

5 0

3 years ago

What is 33.5 % as a Decimal and a fraction?

Stolb23 [73]

$p\%=\dfrac{p}{100}\\\\33.5\%=\dfrac{33.5}{100}=\dfrac{33.5\cdot10}{100\cdot10}=\dfrac{335}{1000}\\\\\dfrac{335}{1000}=0.335\\\\\dfrac{335}{1000}=\dfrac{335:5}{1000:5}=\dfrac{67}{200}$

$Answer:\\\\\boxed{33.5\%=0.335}\\\boxed{33.5\%=\dfrac{67}{200}}$

5 0

3 years ago

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