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3 years ago

A bottle of cranberry juice contains 32 fluid ounces and costs $2.56. What is the unit rate?

2 answers:

8 0

So,

32 fl. oz. costs $2.56. To find the unit rate, we need to divide 2.56 by 32.

This is a special case, because we notice that 256 and 32 are perfect powers of 2.

$\frac{256}{32} = \frac{2^8}{2^5} =2^3=8$

The cranberry juice costs 8 cents per fluid ounce.

Tamiku [17]3 years ago

6 0

Unit rate is (cost) per 1 unit
the unit is fluid oz
'per' is fraction
cost/1unit
so we do
2.56/32
divide completely
2.56/32=0.08/1
the unit rate is $0.08 per oz

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One end of a line segment has the coordinates (-6,2). If

CaHeK987 [17]

Answer:

The coordinates of the other end is $(16,2)$

Step-by-step explanation:

Given

$End 1: (-6,2)$

$Midpoint: (5,2)$

Required

Find the coordinates of the other end

Let Midpoint be represented by (x,y);

(x,y) = (5,2) is calculated as thus

$(x,y) = (\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})$

$x = \frac{x_1 + x_2}{2}$ and $y = \frac{y_1 + y_2}{2}$

Where $(x_1,y_1) = (-6,2)$ and $(x,y) = (5,2)$

So, we're solving for $(x_2,y_2)$

Solving for $x_2$

$x = \frac{x_1 + x_2}{2}$

Substitute 5 for x and -6 for x₁

$5 = \frac{-6 + x_2}{2}$

Multiply both sides by 2

$2 * 5 = \frac{-6 + x_2}{2} * 2$

$10 = -6 + x_2$

Add 6 to both sides

$6 + 10 = -6 +6 + x_2$

$x_2 = 16$

Solving for $y_2$

$y = \frac{y_1 + y_2}{2}$

Substitute 2 for y and 2 for y₁

$2 = \frac{2 + y_2}{2}$

Multiply both sides by 2

$2 * 2 = \frac{2 + y_2}{2} * 2$

$4 = 2 + y_2$

Subtract 2 from both sides

$4 - 2 = 2 - 2 + y_2$

$y_2 = 2$

$(x_2,y_2) = (16,2)$

Hence, the coordinates of the other end is $(16,2)$

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3 years ago

What is y=3x^2-2 in vertex form

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$\bf \qquad \qquad \textit{parabola vertex form}
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y=a(x-{{ h}})^2+{{ k}}\\
x=a(y-{{ k}})^2+{{ h}}\qquad\qquad vertex\ ({{ h}},{{ k}})\\\\
-----------------------------\\\\
y=3x^2-2\iff y = 3(x-0)^2-2$

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3 years ago

What is the result of the calculation of 89.332 + 1.1 without adjusting for the correct number of significant figures?

Orlov [11]

The answer is 90.432.

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3 years ago

What is x+3y=6 what is the x

Ymorist [56]

X=-3y+6 That is the answer.

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3 years ago

Find the volume of a cube with side length of 7 in.

anastassius [24]

Answer: 343 in³

Explanation: In this problem, we're asked to find the volume of a cube.

It's important to understand that a cube is a type of rectangular prism and the formula for the volume of a rectangular prism is shown below.

<em>Volume = length × width × height</em>

In a cube however, the length, width, and height are all the same. So we can use the formula side × side × side instead.

So the formula for the volume of a cube is side × side × side or s³.

So to find the volume of the given cube, since each side has a length of 7 inches, we can plug this information into the formula to get (7 in.)³ or (7 in.)(7 in.)(7 in).

7 x 7 is 49 and 49 x 7 is 343.

So we have 343 in³.

So the volume of the given cube is 343 in³.

8 0

3 years ago