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2 years ago

The square of the sum of 7 times xand 3 divided by 4 time the difference of x and 1

Mathematics

1 answer:

MakcuM [25]2 years ago

8 0

(7x + (3)/(4))^(2)-(x-1)

784

152

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Lerok [7]

The answer is letter C

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2 years ago

Please answer ASAP and if you do you will get Brainliest. Catherine buys a gallon of ice cream from the store. After taking it h

rodikova [14]

Answer:

Catherine's sister ate 2/15 gallons of the ice cream.

$\displaystyle \frac{2}{15}$ .

Step-by-step explanation:

Let $x$ be the amount of ice cream that Catherine's sister ate, in gallons.

Original amount: 1 gallon.

What Catherine ate: $\displaystyle \frac{1}{5}$ gallons.
What Catherine's sister ate is assumed to be $x$ gallons.

What's left: $\displaystyle \frac{2}{3}$ gallons.

Consider the relationship:

$\text{Original amount - What Catherine ate - What Catherine's Sister ate}\\ =\text{ What's left.}$ .

That is:

$\displaystyle 1- \frac{1}{5} - x = \frac{2}{3}$ .

Add $x$ to both sides of this equation:

$\displaystyle 1 - \frac{1}{5} = \frac{2}{3} +x$

Substract $\displaystyle \frac{2}{3}$ from both sides:

$\displaystyle 1 - \frac{1}{5} - \frac{2}{3} = x$ .

Convert the denominator of all three numbers on the left-hand side to $3 \times 5 = 15$

$\displaystyle \frac{15}{15} - \frac{3}{15} - \frac{10}{15} = x$ .

$\displaystyle x = \frac{2}{15}$ .

In other words, Catherine's sister ate $\displaystyle \frac{2}{15}$ gallons of the ice cream.

3 0

2 years ago

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Alice says that all the factors of 8 are even.

Rom4ik [11]

1 is not even yet it is a factor of 8. Alice is wrong.

6 0

2 years ago

A line passes through the points (-2, 4) and (6, 16). Which of the following would not be

kvasek [131]

(4,12) is the correct answer

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2 years ago

The altitude of an equilateral triangle is 22 inches. Find the perimeter of the equilateral triangle. Leave answer as a simplifi

torisob [31]

The perimeter of the equilateral triangle will be 76.2 in

<u>Explanation:</u>

Altitude of an equilateral triangle, H = 22 in

Perimeter, p = ?

Let a be the side of the triangle

We know:

$H = \frac{a\sqrt{3} }{2} \\\\22 = \frac{a\sqrt{3} }{2} \\\\a = 25.4 in$

Perimeter = 3a

P = 3 X 25.4 in

P = 76.2 in

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3 years ago