Which two shapes make up the digital camera below?

When solving negative one over eight (x + 35) = −7, what is the correct sequence of operations? (5 points)

sasho [114]

The correct answer choice is:
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[C]: "Multiply each side by −8, subtract 35 from each side" .
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Explanation:
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Given: " $\frac{-1}{8}$ (x + 35) = -7 " ;

We can START by multiply each side of the equation by "-8" to completely get rid of the " $\frac{-1}{8}$ " fraction on the "left-hand-side" of the equation:

since: " $\frac{-1}{8}$ * -8 = 1 ; and: "1" , multiplied by any given value, is equal to that given value; so in effect, the "1" becomes eliminated.

" $\frac{-1}{8}$ * -8 =

$\frac{-1}{8}$ * $\frac{-8}{1}$ =

$\frac{(-1*-8)}{(8* 1)}$ = $\frac{8}{8}$ = 1 .
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So, given: " $\frac{-1}{8}$ (x + 35) = -7 " ; ;

We multiply each side of the equation by "-8" ;

→ -8 * { $\frac{-1}{8}$ (x + 35) } = -7 * {-8) " ;

→ 1 (x + 35) = 56 ;

→ x + 35 = 56 ;

Then, we SUBTRACT "35" (FROM EACH SIDE OF THE EQUATION) ; to isolate "x" on ONE SIDE OF THE EQUATION; and to solve for "x" ;

→ x + 35 − 35 = 56 − 35 ;

→ x = 21 .
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So, as explained, the correct answer is:
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Answer choice: [C]:
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"Multiply each side by −8, subtract 35 from each side" .
______________________________________________________

7 0

3 years ago

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What is the slope between the points (3,-4)&(7,6)?

olchik [2.2K]

Answer: The slope is $\frac{5}{2}$

Step-by-step explanation:

1. You need to apply the following formula for calculate the slope:

$m=\frac{y_{2}-y_1}{x_{2}-x_1}$

2. Given the points, (3,-4) and (7,6), you have:

$y_{2}=6\\y_1=-4\\x_{2}=7\\x_{1}=3$

3. Substitute these values into the formula for calculate the slope, as following:

$m=\frac{6-(-4)}{7-3}\\m=\frac{10}{4}$

4. Simplify the result. Therefore, you obtain that the slope is:

$m=\frac{5}{2}$

5 0

3 years ago

In a survey conducted with 600 participants across the United States, 450 were found to have studied science in college. If we w

Dahasolnce [82]

Confidence interval of a population proportion is given by p^ + or - sqrt(p^(1 - p^)/n); where p^ = 450/600 = 0.75 and n = 600
99.7% convidence interval = 0.75 + or - 2.96 x sqrt(0.75(1 - 0.75)/600) = 0.75 + or - 2.96 x sqrt(0.75(0.25)/600) = 0.75 + or - 2.96 x 0.0177 = 0.75 + or - 0.0524 = 0.697 to 0.803 = 69.7% to 80.3%

7 0

3 years ago

After returning from a three day business trip the accountant for Southeast Sales Johanna Estrada checked bank activity in the c

lord [1]

Answer:

she is broke

Step-by-step explanation:

she has to work to make money.

3 0

3 years ago

the baker's at healthy bakery can make 190 bagels in 2 hours how many bagels can they bake in 20 hours what was the rate per hou

Natali [406]

Answer:

1900 190×10 =1900 (half of 20 because every 2 hours) rate per hour is 95 half of 190.

5 0

3 years ago

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