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3 years ago

-4x-8>-20

2 answers:

5 0

-4x - 8 > -20
Add 8 to both sides
- 4x > -12
Divide both sides by -4
**When you divide by a negative you must change the direction of the inequality sign**
x < 3
Letter C

Julli [10]3 years ago

5 0

-4x-8>-20
Add 8 to both sides
-4x>-12
Divide -4 on both sides while flipping the inequality sign
Final Answer: x<3

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Raul has 56 bouncy balls. he puts three times as many balls into red gift bags as he puts into green gift bags. if he puts the s

Oksi-84 [34.3K]

Raul has 56 bouncy balls

he puts the balls into red gift bags and green gift bags

so lets say he puts x number of balls into green gift bags

then we are told that he puts three times as many balls into red gift bags as he puts into green gift bags

so the number of balls he puts into red gift bags is - 3 * x = 3x

the total number of balls = 56

so we can write the following equation

x + 3x = 56

4x = 56

x = 56/4

x = 14

therefore the amount of balls he puts into green bags is - 14 balls

6 0

2 years ago

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In the length of each leg of an isosceles triangle is 13 and the base is 24, the length of the altitude to the base is

Likurg_2 [28]

Answer:

<h2>altitude = 5</h2>

Step-by-step explanation:

Look at the picture.

Use the Pythagorean theorem:

$a^2+12^2=13^2$

$a^2+144=169$ subtract 144 from both sides

$a^2=25\to a=\sqrt{25}\\\\a=5$

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2 years ago

From previous polls, it is believed that 66% of likely voters prefer the incumbent. A new poll of 500 likely voters will be cond

Vladimir79 [104]

Answer:

The mean and standard deviation of the number preferring the incumbent is mean = 330, standard deviation = 10.59.

Step-by-step explanation:

We are given that From previous polls, it is believed that 66% of likely voters prefer the incumbent.

A new poll of 500 likely voters will be conducted. In the new poll the proportion favoring the incumbent has not changed.

Let p = probability of voters preferring the incumbent = 66%

n = number of voters polled = 500

So, the mean of the number preferring the incumbent is given by;

Mean = $n \times p$ = $500 \times 0.66$

= 330 voters

And, standard deviation of the number preferring the incumbent is given by;

Variance = $n \times p\times (1-p)$

= $500 \times 0.66 \times (1-0.66)$

= 112.2

So, Standard deviation = $\sqrt{Variance}$

= $\sqrt{112.2}$ = 10.59

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2 years ago

Select the correct answer. Find the value of x. Please answer!!!

olga nikolaevna [1]

C. 64

Rewrite the logarithm:

8=x^.5

Solve by raising both sides of the equation to the power of the inverse (in this case, the inverse of .5, which is 2):

8^2=x^(.5*2)

64=x

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2 years ago

Value of 8 power of -3

lozanna [386]

Answer:

Step-by-step explanation: $8^{-3} =\frac{1}{8^{3} } =\frac{1}{8X8X8} =\frac{1}{512}$

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3 years ago