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Ede4ka [16]
3 years ago
5

8. Solve the inequality. |x - 2|> 3

Mathematics
1 answer:
yaroslaw [1]3 years ago
8 0

Answer:

x >5       or        x < -1

Step-by-step explanation:

This has 2 solutions one positive and one negative

x-2 > 3   or x-2 < -3

Add 2 to each side

x-2+2 > 3+2   or x-2+2 < -3+2

x >5       or        x < -1

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You invested $100 at 8.2% which is compounded annually for 7 years. How much will your $100 be worth in 7 years?
____ [38]

Answer:

57.4%

Step-by-step explanation:

8.2 × 7 = 57.4

hope this helps!!

7 0
3 years ago
I NNEEEDDDDDD HELPPPPP PLEASEEEE
NikAS [45]

Answer:

The small balloon bouquet uses  7 balloons and the large one uses

18 balloons.

Step-by-step explanation:

Let's say that small balloon bouquets are S and large balloon bouquets are L. For the graduation party the employee assembled 6 small bouquets and 6 large bouquets, the total number of balloon used is 150. To put the sentence into an equation will be:

6S + 6L= 150

S+L= 25   ----> 1st equation

For Father's Day, the employee uses 6 small bouquet and 1 large bouquet, the total number of balloons used is 60. The equation will be:

6S + 1L= 60

1L= 60- 6S   ----> 2nd equation

We can solve the number of small balloon bouquet by substitute the 2nd equation into 1st. The calculation will be:

S+L = 25

S+ (60-6S)= 25

-5S= 25-60

-5S= -35

S= -35/-5

S=7

Then we can find L by substitute S value to 1st or 2nd equation.

S+L=25

7+L=25

L=18

Hope this helps ;)

3 0
3 years ago
Read 2 more answers
A cylindrical container of five rubber balls has a height of 30 centimeters and a diameter of 6 centimeters. Each ball in the co
Artyom0805 [142]

Answer:

There is 170 cm³ free space in the container.

Step-by-step explanation:

Cylindrical container: height = 18 cm ; diameter = 6 cm.

3 balls each have a radius of 3 cm.

Volume of a cylinder = π r² h

V = 3.14 * (3cm)² * 18 cm

V = 508.68 cm³

Volume of rubber ball = 4/3  π r³

V = 4/3 * 3.14 * (3cm)³

V = 113.04 cm³

113.04 cm³  * 3 balls = 339.12 cm³

508.68 cm³ - 339.12 cm³ = 169.56 cm³ or 170 cm³

3 0
3 years ago
1. A bag contains the letters of the word “PROBABILITY”.
Mama L [17]

Since "PROBABILITY" has 11 letters in it, then every letter has 1/11 chances of getting picked, so the chances of getting an O tile would be 1/11, same for getting a B tile. But if you were to get both of them consecutively, then the chances would be 1/11 of 1/11 because you have 1/11 of a chance to get and O and then 1/11 of a chance to get a B. So you would be looking for 1/11 of 1/11, which means multiplying the divisor, 11*11=121. Therefore, you should have 1/121 chance of getting an O and B tile.

6 0
4 years ago
walmart sells the bike he likes for 350 dollars Walmart had the bike on sell for 30% off what is the cost of the bike at Walmart
lara31 [8.8K]

Answer:

$245

Step-by-step explanation:

350× 0.30 = 105 dollars off

350-105 = 245

7 0
3 years ago
Read 2 more answers
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