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3 years ago

50pts and brainliest to whoever can solve this problem TWO ways: 3/7(x + 9)=12, 3/7 being a fraction

Mathematics

1 answer:

Mnenie [13.5K]3 years ago

7 0

x = 19

Step-by-step explanation:

$\begin{aligned}\frac{3}{7}\left(x+9\right)&=12\\3\left(x+9\right)&=12\times 7\\3x+27&=84\\3x&=84-27\\3x&=57\\x&=\frac{57}{3}\\ x&=\underline{\underline{\bf 19}}\end{aligned}$

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A car goes 400 miles on 10 gallons of

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Answer:

A. 1200

Step-by-step explanation:

Since 10 times 3 is 30, then 400 times 3 is 1200. Hope I helped!

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3 years ago

What two rational expressions sum to <img src="https://tex.z-dn.net/?f=%5Cfrac%7B4x%2B2%7D%7Bx%5E%7B2%7D-9%2B8%20%7D" id="TexFor

bulgar [2K]

Answer:

$\frac{4x+2}{x^2 - 9x + 8} = \frac{4x}{(x-8)(x-1)} + \frac{2}{(x-8)(x-1)}$

Step-by-step explanation:

Given

$\frac{4x+2}{x^{2}-9+8 } = \frac{A}{()(x-1)} + \frac{B}{()(x-8)}$

Required

Fill in the gaps

Going by the given parameters, we have that

$\frac{4x+2}{x^{2}-9+8 } = \frac{A}{()(x-1)} + \frac{B}{()(x-8)}$

$x^2 - 9x + 8$ , when factorized is $(x-1)(x-8)$

Hence; the expression becomes

$\frac{4x+2}{(x-1)(x-8)} = \frac{A}{(x-8)(x-1)} + \frac{B}{(x-1)(x-8)}$

Combine Fractions

$\frac{4x+2}{(x-1)(x-8)} = \frac{A + B}{(x-8)(x-1)}$

Simplify the denominators

$4x + 2 = A + B$

By direct comparison

$A = 4x$

$B = 2$

Hence, the complete expression is

$\frac{4x+2}{x^2 - 9x + 8} = \frac{4x}{(x-8)(x-1)} + \frac{2}{(x-8)(x-1)}$

3 0

3 years ago

Read 2 more answers

Where will her cut be located? Round to the nearest tenth. x = (StartFraction m Over m + n EndFraction) (x 2 minus x 1) + x 1 A

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

Location of the Cut = 2 + 23.2 = <em>25.2 inches</em>

Alternatively, we can use the formula directly:

$x = \dfrac{m} {m + n } (x_2 - x_1) + x_1$

$x_1 = 2\\x_2 = 60$

m: n is the ratio 2:3

$x = \dfrac{2} {2 +3 } (60- 2) + 2\\\Rightarrow 0.4 (58 )+2\\\Rightarrow 23.2+2 \\\Rightarrow \bold{25.2\ inches}$

5 0

3 years ago

Read 2 more answers

2) Suzie has a used Honda Accord she wants to list on Craigslist. She sees similar listings to

sashaice [31]

A: the outlier would be 7500 because it is not as close to the other prices

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2 years ago

A soccer coach spent $162 dollars on 24 pairs of socks for his players. How much did five pairs of socks cost? Verify your answe

shutvik [7]

Answer:

$162÷24=$6.75

$6.75-per each

five pairs of socks-$6.75x5=$33.75

3 0

3 years ago