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MAXImum [283]
4 years ago
7

HELP PLEASE!!!Area of the base=

Mathematics
1 answer:
HACTEHA [7]4 years ago
5 0

Answer:

the answer is c

Step-by-step explanation:

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The cost of a company picnic varies directly as the number of employees attending the picnic. If a company picnic costs $487.50
Drupady [299]

The company picnic cost $ 1300 for 80 employees

<em><u>Solution:</u></em>

Given that cost of a company picnic varies directly as the number of employees attending the picnic

Let "c" be the company picnic cost

Let "n" be the number of employees attending the picnic

Therefore,

cost \propto \text{ number of employees attending picnic }

c \propto n\\\\c = kn

Where "k" is the constant of proportionality

c = kn ---------- eqn 1

<em><u>Given that company picnic costs $487.50 for 30 employees</u></em>

Therefore substitute c = 487.50 and n = 30

487.50 = k(30)\\\\k = \frac{487.50}{30} = 16.25

<em><u>How much does a company picnic cost for 80 employees?</u></em>

Substitute n = 80 and k = 16.25 in eqn 1

c = 16.25(80) = 1300

Thus $ 1300 is the cost for 80 employees

5 0
3 years ago
Jeff sells popcorn for $3 per bag. To make a profit each day, he needs to sell at least $120 worth of popcorn. He has sold $36 w
Zepler [3.9K]

Answer:

The inequality tha can be used to find how many more bags of popcorn Jeff still needs to sell today to make a profit is

x - 12 ≥ 40.

Step-by-step explanation:

Let us represent the number of bags of popcorn as p

Jeff sells popcorn for $3 per bag. To make a profit each day, he needs to sell at least $120 worth of popcorn.

We have the equation:

$3 × p ≥ $120

3p ≥ $120

p ≥ 120/3

p ≥ 40 bags

He must sell at least 40 bags to make a profit

He has sold $36 worth of popcorn today.

1 bag is $3

Hence, he has sold

$36/$3 = 12 bags of popcorn

Which inequality can be used to find Jeff still needs to sell today to make a profit?

This equality is given as:

x - 12 bags ≥ 40 bags

x - 12 ≥ 40

x ≥40 - 12

x ≥ 28 bags

She still need to sell 28 more bags of popcorn.

4 0
3 years ago
The value of a certain car decreases by 16% each year. What is the 1⁄2-life of the car?
svet-max [94.6K]

Answer:

The half life of the car is 3.98 years.

Step-by-step explanation:

The value of the car after t years is given by the following equation:

V(t) = V(0)(1-r)^{t}

In which V(0) is the initial value and r is the constant decay rate, as a decimal.

The value of a certain car decreases by 16% each year.

This means that r = 0.16

So

V(t) = V(0)(1-r)^{t}

V(t) = V(0)(1-0.16)^{t}

V(t) = V(0)(0.84)^{t}

What is the 1⁄2-life of the car?

This is t for which V(t) = 0.5V(0). So

V(t) = V(0)(0.84)^{t}

0.5V(0) = V(0)(0.84)^{t}

(0.84)^{t} = 0.5

\log{(0.84)^{t}} = \log{0.5}

t\log{0.84} = \log{0.5}

t = \frac{\log{0.5}}{\log{0.84}}

t = 3.98

The half life of the car is 3.98 years.

7 0
3 years ago
Find x and y in the figure​
xxTIMURxx [149]

Answer:

therefore angle Y will be equal to angle X by vertically opposite angle as by taking all the angles inside the traingle will be equal to Y so Y = X = 60°

5 0
3 years ago
Which structures secrete chemicals utilized for the completion of digestion within the small intestine?
Sever21 [200]

Answer:

In the small intestine more digestive enzymes act on the food. Pancreatic juice, from the pancreas, and bile, produced in the liver and stored in the gall bladder, continue to break down various parts of the food. They complete the digestion of starches, sugars, and fats. I hope tis helps

Step-by-step explanation:

5 0
3 years ago
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