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Dovator [93]
2 years ago
7

-5(-1) ≤ 55

Mathematics
1 answer:
Alisiya [41]2 years ago
7 0

The solution to the inequality is (-4, ∞)

<h3>How to solve the inequality?</h3>

The second inequality is given as:

8 - y < 12

Subtract 8 from both sides

-y < 4

Rewrite as:

y > -4

In interval form, we have:

y = (-4, ∞)

Hence, the solution to the inequality is (-4, ∞)

Read more about inequality at:

brainly.com/question/17675534

#SPJ1

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6.
larisa86 [58]

A. Every month Population will increase by a factor of 0.84%.

B.  Every 3 months Population will increase by a factor of 2.5%.

C. Increase in population in every 20 months is 10% + 6.72% = 16.72%.

<u>Step-by-step explanation:</u>

Here, we have  number of employees in a company has been growing exponentially by 10% each year. So , If we have population as x in year 2019 , an increase of 10% in population in 2020 as  x + \frac{x}{100}\times10 which is equivalent to \frac{11x}{10}.

<u>A.</u>

For each month: We have 12 months in a year and so, distributing 10% in 12 months would be like \frac{10}{12}  = 0.84 . ∴ Every month Population will increase by a factor of 0.84%.

<u>B.</u>

In every 3 months: We have , 12 months in a year , in order to check for every 3 months  \frac{12}{3} = 4 and Now, Population increase in every 3 months is \frac{10}{4}  = 2.5.  ∴ Every 3 months Population will increase by a factor of 2.5%.

<u>C.</u>

In every 20 months: We have , 12 months in a year in which increase in population is 10% . Left number of moths for which we have to calculate factor of increase in population is 20-12 = 8. For 1 month , there is 0.84% increase in population ∴ For 8 months , 8 × 0.84 = 6.72 %.

So , increase in population in every 20 months is 10% + 6.72% = 16.72%.

5 0
3 years ago
A hot air balloon holds 1,592 cubic meters of helium. The density of helium is 0.1785 kilograms per cubic
yuradex [85]

Answer: 285.2 kg

Step-by-step explanation:

Given

The volume of helium in the balloon is V=1592\ m^3

The density of the helium is \rho =0.1785\ kg/m^3

Mass of the helium gas is given by the product of density and volume

\Rightarrow M=\rho \cdot V\\\Rightarrow M=0.1785\times 1592\\\Rightarrow M=285.2\ kg

Thus, the mass of gas is 285.2 kg

3 0
3 years ago
Lcm of 14, 21 and 28
Zepler [3.9K]
7 is the lcm of all.
5 0
3 years ago
31
Hitman42 [59]

Answer:

L = 3(4) + 2(3) + 6

Step-by-step explanation:

.........

3 0
3 years ago
Jose and two of his friends are collecting baseball cards. Their goal is for the three of them to collect at least 100 cards in
schepotkina [342]

Answer:

3c + 43 >_ 100

Step-by-step explanation:

7 0
2 years ago
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