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motikmotik
3 years ago
9

Which expression is equivalent to 1/4(8-6x+12)?

Mathematics
1 answer:
Marina CMI [18]3 years ago
3 0
¹/₄(8 - 6x + 12)
¹/₄(-6x + 8 + 12)
¹/₄(-6x + 20)
¹/₄(-6x) + ¹/₄(20)
-1¹/₂x + 5
The answer is D.

\frac{-378\ feet}{7 \min} = -54\ feet\ per\ minute
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A room can just store either 10 cases of soya beans drink and 8 cases of fruit juice or 4 cases of soybeans drink and 11 cases o
Vladimir79 [104]

Answer:

2 cases of soya bean milk will have the same volume as 1 case of fruit juice.

Step-by-step explanation:

Let the case of soya beans drink be x and let the case of fruit juice be y

We are told that the room can store either 10 cases of soya beans drink and 8 cases of fruit juice or 4 cases of soybeans drink and 11 cases of fruit juice.

This means that;

10x + 8y = 4x + 11y

Rearranging, we have;

10x - 4x = 11y - 8y

6x = 3y

Thus;

y = 6x/3

y = 2x

This means that 2 cases of soya bean milk will have the same volume as 1 case of fruit juice.

8 0
3 years ago
1) Find the missing side. Give your<br> answer in simplest radical form.
gladu [14]

Answer:

x = 4√5

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right  

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality<u> </u>

<u>Trigonometry</u>

[Right Triangles Only] Pythagorean Theorem: a² + b² = c²

  • a is a leg
  • b is another leg
  • c is the hypotenuse<u> </u>

Step-by-step explanation:

<u>Step 1: Define</u>

Leg <em>a</em> = 8

Leg <em>b</em> = 4

Hypotenuse <em>c</em> = <em>x</em>

<em />

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Substitute in variables [Pythagorean Theorem]:                                            8² + 4² = x²
  2. Evaluate exponents:                                                                                         64 + 16 = x²
  3. Add:                                                                                                                   80 = x²
  4. [Equality Property] Square root both sides:                                                    √80 = x
  5. Rewrite:                                                                                                             x = √80
  6. Simplify:                                                                                                             x = 4√5
3 0
2 years ago
Plz help me!!!!
sveta [45]
A.) For the Junior Varsity Team, mean would be the appropriate measure of center since the data is <span>symmetric or well-proportioned while we should use standard deviation for getting the measure of spread since it also measures the center and how far the values are from the mean.

b.) For the Varsity Team, the median would be the appropriate measure of the center since the data is skewed left and not evenly distributed so median could be used since it does not account for outliers while we use IQR or interquartile range in measuring the spread of data since IQR does not account for the data that is skewed. </span>
4 0
3 years ago
The French Club ordered 16 pizzas for a party. Each pizza had 6 slices. Jose ate 7 of the slices. How many slices were left for
NikAS [45]
16 x 6 = 96
96 - 7 = 89
or
14 pizzas and 5 slices

Answer : 89 slices
4 0
2 years ago
What is the value of x?
Licemer1 [7]

Answer:

D. 16

Step-by-step explanation:

1. Because these are vertical angles (opposite pair of angles that are formed by intersecting lines), these are congruent. That means (8x-8) = (7x+8).

2. (Solving)

Step 1: Subtract 7x from both sides.

  • 8x-8-7x=7x+8-7x
  • x-8=8

Step 2: Add 8 to both sides.

  • x - 8 + 8 = 8 + 8
  • x = 16

Step 3: Check if solution is correct.

  • 8(16)-8=7(16)+8
  • 128-8 = 112+8
  • 120 = 120

Therefore, the answer is D. 16.

5 0
3 years ago
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