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3 years ago

(07.02 MC)

Mathematics

1 answer:

Sergio039 [100]3 years ago

4 0

Part A:

1 solution. It is a linear equation => one solution.

Part B:

3(2x - 7) = 3

(divide through by 3) 2x - 7 = 1

(add 7 to both sides) 2x = 8

(divide through by 2) x = 4

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Draw a line representing the "run" and a line representing the "rise" of the line. State the slope of the line in simplest form.

Shtirlitz [24]

Answer:

$\boxed{\dfrac{9}{13}}$

Step-by-step explanation:

$\text{slope} = \dfrac{\text{rise}}{\text{run}}$

rise = y₂ - y₁ = -1 - (-10) = -1 + 10 = 9

run = x₂ - x₁ = 9 - (-4) = 9 + 4 = 13

$\text{slope} = \mathbf{\dfrac{9}{13}}\\\\\text{The slope of the line is $\boxed{\mathbf{\dfrac{9}{13}}}$}$

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Solve the equation for x 2/3x-1/9x + 5 = 20

Nady [450]

$\bold{Answer}$

$\boxed{\bold{X \ = \ 27}}$

$\bold{Explanation}$

$\bold{Solve: \ \frac{2}{3}x-\frac{1}{9}x+5=20}$

$\bold{--------------------------}$

$\bold{Subtract \ 5 \ From \ Both \ Sides}$

$\bold{\frac{2}{3}x-\frac{1}{9}x+5-5=20-5}$

$\bold{Simplify}$

$\bold{\frac{2}{3}x-\frac{1}{9}x=15}$

$\bold{Multiply \ By \ LCM: \ LCM \ = \ 9}$

$\bold{\frac{2}{3}x\cdot \:9-\frac{1}{9}x\cdot \:9=15\cdot \:9}$

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$\bold{\frac{5x}{5}=\frac{135}{5}}$

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3 years ago

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Arte-miy333 [17]

Answer:

The correct answer is 25.2 in.

Step-by-step explanation:

It is given that number line goes from 0 to 60 which can be used to represent a ribbon of length = 60 inches.

2 inches of the ribbon are frayed so actual length = 58 inches

Please refer to the attached image for the ribbon.

A is at 0

C is at 60

B is at 2

P is the point to divide the remaining ribbon in the ratio 2:3.

Part AB of the ribbon is frayed.

BP: PC = 2:3

Let BP = 2 $x$ and PC = 3 $x$

Now, BP + PC = BC = 58 = 2 $x$ + 3 $x$ = 5 $x$

So,

$5x =58\\\Rightarrow x =11.6$

BP = $2\times x = 2 \times 11.6 = 23.2\ inches$

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Alternatively, we can use the formula directly:

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m: n is the ratio 2:3

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