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2 years ago

0.75:x::5:8, Then find x

Mathematics

2 answers:

Shalnov [3]2 years ago

8 0

Answer:

Step-by-step explanation:

0.75 :x :: 5: 8

0.75 / x = 5 / 8

5x = 0.75 * 8

x = 6/5

x = 1.2

lianna [129]2 years ago

3 0

Answer:

1.2

Step-by-step explanation:

0.75 :x :: 5: 8

0.75 / x = 5 / 8

Cross multiply

5x = 0.75 * 8

x = 6/5

x = 1.2

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Rosa has 3 3/4 pounds of dough. She uses 1/8 of a pound for one roll. How many rolls could be made from Rosa's dough?

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2 years ago

Find the value of B - A if the graph of Ax + By = 3 passes through the point (-7, 2), and is parallel to the graph x + 3y = -5.

Elena-2011 [213]

Answer:

$B - A = -6$

Step-by-step explanation:

Given

Point: (-7,2)

x + 3y = -5

Required

Find B- - A in Ax + By = 3

To start with; we need to calculate the slope of x + 3y = -5

$x + 3y = -5$

Subtract x from both sides

$x - x + 3y = -5 - x$

$3y = -5 - x$

Divide both sides by 3

$\frac{3y}{3} = -\frac{5}{3} - \frac{x}{3}$

$y = -\frac{5}{3} - \frac{x}{3}$

The slope of the line is the coefficient of x

Slope = $- \frac{1}{3}$

The question says line Ax + By = 3 is parallel to line x + 3y = -5; This means that they have the same slope of $- \frac{1}{3}$

Having calculated the slope, next is to calculate the equation of the line using the following formula;

$m = \frac{y - y_1}{x - x_1}$

Where m is the slope; m = $- \frac{1}{3}$ ; $(x_1, y_1) = (-7,2)$

Substitute these values in the formula above; the formula becomes

$-\frac{1}{3} = \frac{y - 2}{x - -7}$

$-\frac{1}{3} = \frac{y - 2}{x +7}$

Cross Multiply

$-1(x+7) = 3(y-2)$

Open brackets

$-x - 7 = 3y - 6$

Add x to both sides

$x - x - 7 = 3y - 6 + x$

$-7 = 3y - 6 +x$

Add 6 to both sides

$-7 + 6 = 3y -6 + 6 + x$

$-1 = 3y + x$

Multipby both sides by -3

$-3(-1) = -3(3y + x)$

$3 = -9y - 3x$

$-9y - 3x = 3$

$-3x - 9y = 3$

Comparing the above to Ax + By = 3

$Ax = -3x\\A = -3$

$By = -9y\\B = -9$

$B - A = -9 - (-3)$

$B - A = -9 + 3$

$B - A = -6$

3 0

2 years ago

I need #1 done (show work) will give brainliest

allochka39001 [22]

Step-by-step explanation:

<u>Statement Reason </u>

∠5 and ∠7 are vertical angles Vertical angles theorem

m∠5 = m∠7 Definition of vertical angles

m∠5 = -2(3x - 4), m∠7 = 3(x - 3) - 1 Given

-2(3x - 4) = 3(x - 3) - 1 Substitution property of equality

-6x + 8 = 3x - 9 - 1 Distributive property

3x + 6x = 8 + 10 Addition property

9x = 18 Addition property

x = 18/9 Division property

x = 2 Proved

6 0

2 years ago

0.75:x::5:8, Then find x​

0.75:x::5:8, Then find x