Solve the following compound inequality.
5x + 7 ≤ -3 OR 3x - 4 ≥ 11

A. -2 ≤ x ≤ 5

B. x ≤ -2 OR x ≥ 5

C. x ≤ -15 OR x ≥ 12

D. x ≥ 5

Thank you!

Answers

Answer 1

Answer:

B

Step-by-step explanation:

We have the compound inequality:

[tex]5x+7\leq-3 \text{ or } 3x-4\geq 11[/tex]

Since this is an “OR” inequality, we can solve each inequality individually. So:

1)

We have:

[tex]5x+7\leq-3[/tex]

Subtract 7 from both sides:

[tex]5x\leq -10[/tex]

Divide both sides by 5:

[tex]x\leq-2[/tex]

So, the first solution is above.

2)

We have:

[tex]3x-4\geq 11[/tex]

Add 4 to both sides:

[tex]3x\geq15[/tex]

Divide both side by 3:

[tex]x\geq5[/tex]

Our second solution is above.

Therefore, our solution is:

[tex]x\leq -2 \text{ or } x\geq5[/tex]

Since our original inequality is “OR,” our solution set remains an “OR.”

Hence, our answer is B.


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A building has 63 apartments and 70 bathrooms. What is the ratio of apartments to bathrooms in the building?

Answers

Answer:

63:70

Step-by-step explanation:

Express each ratio as a fraction in the simplest form
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The ratio in simplest form is 1/4

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Solve for x.
Answer Choices:
7

8

9

-11

Answers

Answer:

x = -11

Step-by-step explanation:

Well the two equations add up to 180 because they are a linear pair.

x + 56 + x + 146 = 180 (collect like terms)

2x + 202 = 180 (subtract 202 on both sides)

2x = -22 (divide by 2 on both sides)

x = -11

Hope this helps ya!!

X+56+x+146=180 (Because they are linear pair and are equal to 180 degrees)

(Combine like terms)

2x+202=180 (Subtract 202 to both sides because we want the x isolated)

2x+202=180
-202 -202
2x=-22 (Divide)
2 2
X=-11
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Answers

Answer:

D)

Step-by-step explanation:

A circle has a radius 30 cm. What is the area? Show your
work.

Answers

Answer:

I believe the area = 2,826

Step-by-step explanation:

A=pie×radius²

A= 3.14×30²

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Which function has a graph with a y-intercept of -4?
A. 2x – 4y = 8
B. 2x – 8y = -4
C. 4x – 2y = -8
D. 4x - 2y = 8

Answers

the correct answer would be D. if you rearrange the equation, and cross out common factors, it equals -4

Answer:

D

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Step-by-step explanation:

4x-2y= 8  move variable x to the right (change signs)

- 2y= -8 + 4x   Divide both sides by 2

y= -4 + 2x        reorder terms using communitive property

y = 2x  -4

y= mx + b

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Answers

1.) (x+2) (x+4) (x-4)

2.) (3x-4) (x^2 +3)

3.) 2x(2x-5) (x-4)

4.) (4x+3) (2x^2 +1)

5.) (4x-5) (16x^2 + 20x+25)

6.) (x+2) (x-2) (x^2+3)

7.) 2x^2(2x+3) (4x^2-6x+9)

8.). (4x-1) (x+1) (x-1)

*Hope this helped, good luck :-)

PLEASE HELP, #30 and #40 !! DUE SOON

Answers

Answer:

38. x = 60

40. x = 10

Step-by-step explanation:

38.

The segment labeled 30 connects the midpoints of two sides of a triangle, so it is parallel and half the length of the third side.

x = 2 * 30 = 60

40.

Look at the big outer triangle.

Its left side has length x. It is made up of two segments that are congruent.

The right side of the big triangle is made up of two segments that are congruent and are also congruent to the segments of the left side. That makes the left and right sides of the big triangle congruent. This is an isosceles triangle, so its base angles are congruent. The left base angle measures 60, so the right base angle also measures 60. That means the top angle also measures 60. This triangle is isosceles and equilateral.

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The bottom side of the triangle measures 2 * 5 = 10. Since the triangle is equilateral, then x = 10.

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Answer:

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Step-by-step explanation:

sin M = [tex]\frac{3\sqrt{11} }{18} = \frac{\sqrt{11} }{6}[/tex]

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Answers

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Answer:

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Let a(x) be the amount of money remaining on Hillary's gift card after purchasing x apps on her phone.



Since a(12) = (38, 15,35, 65) Hillary will have
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Answers

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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A recipe for cookies calls for 1 cup of butter, twice as much sugar as butter, and three times as much flour as sugar. How many cups of flour will you need if you halve the recipe?

Answers

Answer : 3 cups

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Answers

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Answers

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Step-by-step explanation:

Answer:

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A news report says that 9% of middle school students are on the track team. There are 600 students in your middle school How many students in your school would you expect to be on the track team? HE Pad SATTE BAR HG West nus SAUNA w 1​

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

Option 1:[tex]y = -\frac{2}{3}x+5[/tex] is the correct answer.

Step-by-step explanation:

The slope-intercept form of a line is given as:

[tex]y = mx+b[/tex]

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Option 1:[tex]y = -\frac{2}{3}x+5[/tex] is the correct answer.

Please help it’s due in an hour! It’s algebra.

Answers

Answer:

You might wanna double check some of these because i might've forgot to flip some of the < and > signs but I'm pretty sure its correct

1) y = x < -18 and y = x < 18

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6) y = 8.5 > x > 5.5

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Step-by-step explanation:

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Answers

The answer would be -4

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Answers

Answer:

4

Step-by-step explanation:

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Answer:

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Answers

Exact form : 45/4
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Answers

Answer:

47

Step-by-step explanation:

s = Number of stamps with snowflake design = 14

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Number of stamps with rose design is 5 fewer than truck stamps

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Total number of stamps

[tex]s+t+r=14+19+14\\ =47[/tex]

So total number of stamps Tommy bought is 47.

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