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worty [1.4K]
3 years ago
15

Find the volume of the pyramid.

Mathematics
1 answer:
True [87]3 years ago
5 0

Answer:

The answer is 112 ft squared

Step-by-step explanation:

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Which are dependent events?
mezya [45]

Answer:

D. taking two marbles from a box without replacing the first marble are  dependent events

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hope it helps

have a great day!!

6 0
3 years ago
Read 2 more answers
Add the expression (5.2c - 7.35) + (-3.9c + 3.65)
Bess [88]

Answer:

1.3c-3.7

Step-by-step explanation:

5.2c-3.9c=1.3

-7.35+3.65=-3.7

1.3c-3.7

4 0
3 years ago
Luke's Bakery recently spent a total of $69 on new equipment, and their average hourly operating costs are $15. Their average ho
WINSTONCH [101]

Answer:

It will take the bakery 2.875 hours to make back the amount invested.

The total expenses and receipts, both will = $112.125

Step-by-step explanation:

Given:

Cost of equipment = $69

Operation cost per hour = $15

Average hourly receipts = $39

To find how many hours will it take for the Bakery to make back the amount invested and what would the total expenses and receipts both equal

Solution:

Let the bakery take t hours to make back the amount invested.

Operation cost for t hours in dollars will be = 15t

Equipment cost = $69

Total expenses in dollars can be given as = 15t+69

Receipts for t hours in dollars will be = 39t

<em>Since the bakery makes up the amount invested in </em>t<em> hours, so the amount in expenses must be equal to the total receipts for </em>t<em> hours.</em>

Thus, we have:

39t=15t+69

Subtracting both sides by 15t

39t-15t=15t-15t+69

24t=69

Dividing both sides by 24.

\frac{24t}{24}=\frac{69}{24}

∴ t=2.875

So, in 2.875 hours the bakery will be able to make back all the investment.

Total expenses in 2.875 hours will be = 15(2.875)+69=43.125+69=\$112.125

Total receipts will be the same and can be given as = 39\times 2.875 = \$112.125

6 0
4 years ago
The cellular phone service for a business executive is $35 per month plus $0.40 per minute of phone use over 900 min. For amonth
Helen [10]

Answer:

1022 minutes

Step-by-step explanation:

Let x be the number of minutes the executive used the phone

There is a base charge of $35 and only minutes greater than 900 min are charged at the rate of $0.40 per minute

So total bill A = 35 + 0.4(x-900)

We know the bill was $83.80

So we can rewrite the equation as

35 + 0.4(x-900) = 83.30

and solve for x

To make it easier for computational purposes

1)  Multiply both sides by 10

35\cdot \:10+0.4\left(x-900\right)\cdot \:10=83.8\cdot \:10

2) Perform individual multiplication

350+4\left(x-900\right)=838

3)  Subtract 350 from both sides

350+4\left(x-900\right)-350=838-350

4)  Simplify

4\left(x-900\right)=488

5) Divide both sides by 4

\frac{4\left(x-900\right)}{4}=\frac{488}{4}

6) Simplify

x-900=122

7) Add 900 to both sides to isolate x

x-900+900=122+900

8) Simplify to obtain x

x=1022

Answer: The executive used the phone for 1022 minutes that month

6 0
2 years ago
What is the midpoint of a segment with These endpoints (-6,-9) and (16,5)
lora16 [44]

~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ (\stackrel{x_1}{-6}~,~\stackrel{y_1}{-9})\qquad (\stackrel{x_2}{16}~,~\stackrel{y_2}{5}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ 16 -6}{2}~~~ ,~~~ \cfrac{ 5 -9}{2} \right)\implies \left( \cfrac{10}{2}~~,~~\cfrac{-4}{2} \right)\implies (5~~,~-2)

7 0
3 years ago
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