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Irina-Kira [14]
2 years ago
15

You need at least $90 to buy some clothes, but your parents don't want to give you more than $150. Write and inequality represen

ting the possible amount of money you could get.
Mathematics
1 answer:
jok3333 [9.3K]2 years ago
6 0

Answer:

90 \leqslant x \leqslant 150

Step-by-step explanation:

You need at least $90 dollars, so x will be bigger than or equal to that amount.

Your parents don't want to give you more than $150 dollars so x is smaller than or equal to that amount.

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Find the volume of a sphere if the surface area of the sphere is 64π cm²? Explain your
yarga [219]

Answer:

the answer is 85.33π cm

Step-by-step explanation:

6 0
2 years ago
in a shipment of 50 calculators, 4 are defective. one calculator is randomly selected and tested. what is the probability that i
Serga [27]
Calculate a simple probability p=x/n, here x is the defective,so the answer is 4/50
3 0
3 years ago
In a naval engagement, one-third of the fleet was captured, one-sixth was sunk, and two ships were destroyed by fire. One-sevent
Otrada [13]

Answer:

60 ships.

Step-by-step explanation:

Let the total number of ships in the naval fleet be represented by x

One-third of the fleet was captured = 1/3x

One-sixth was sunk = 1/6x

Two ships were destroyed by fire = 2

Let surviving ships be represented by y

One-seventh of the surviving ships were lost in a storm after the battle = 1/7y

Finally, the twenty-four remaining ships sailed home

The 24 remaining ships that sailed home =

y - 1/7y = 6/7y of the surviving fleet sailed home.

Hence

24 = 6/7y

24 = 6y/7

24 × 7/ 6

y = 168/6

y = 28

Therefore, total number of ships that survived is 28.

Surviving ships lost in the storm = 1/7y = 1/7 × 28 = 4

Total number of ships in the fleet(x) =

x = 1/3x + 1/6x + 2 + 28

Collect like terms

x - (1/3x + 1/6x) = 30

x - (1/2x) = 30

1/2x = 30

x = 30 ÷ 1/2

x = 30 × 2

x = 60

Therefore, ships that were in the fleet before the engagement were 60 ships.

3 0
2 years ago
The prevalence of cigarette smoking in the united states is in decline if the percentage of smokers in 2014 was 16.7% and the pe
astraxan [27]

The linear formula for the sequence whose terms represent the percentage of americans who smoke n years after 2014 is:

a(n) = -5.6n + 16.7

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0, and for a time-dependent function, can also be interpreted as the initial value.

In this problem:

  • The percentage of smokers in 2014 was 16.7%, hence the initial value is b = 16.7
  • The percentage is decreasing by 5.6% each year, hence the slope is m = -5.6.

Then, the <em>equation </em>is:

y = mx + b

a(n) = -5.6n + 16.7

You can learn more about linear functions at brainly.com/question/24808124

7 0
2 years ago
Suppose an economy experiences an increase in unemployment across all industries. What is the result of this increase in unemplo
Nastasia [14]

Production would take place at a point inside the production possibility frontier

The Production possibilities curve is a curve that shows the various combination of two goods a company can produce when all its resources are fully utilised.  

The PPC is concave to the origin. This means that as more quantities of a product is produced, the fewer resources it has available to produce another good. As a result, less of the other product would be produced. So, the opportunity cost of producing a good increase as more and more of that good is produced.

Points inside the production possibilities curve means that the nations resources are not being fully utilised

When the unemployment rate increases, it means that labour resources are not been fully utilized. As a result, production would take place at point inside the production possibilities curve

Point outside the curve or to the right of the curve means that the production level is not attainable given the level of resources

Learn more about the production possibility curve here : brainly.com/question/12047178?referrer=searchResults

6 0
2 years ago
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