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Zielflug [23.3K]
3 years ago
7

What is the value of d if the volume of Prism F is 99 cubic units ?

Mathematics
1 answer:
iren [92.7K]3 years ago
4 0

Answer:

d = 3.46 units

Step-by-step explanation:

The diagram below is a rectangular prism . The volume of the prism is given as  99 units³ .

volume of a rectangular prism = Length × width × height

height = 5.2 units

volume = 99 units³

length = 5.5 units

width = d

let us find the width which is d

volume = L × w × h

99 = 5.5 × d × 5.2

99 = 28.6d

divide both sides by 28.6

d = 99/28.6

d = 3.4615384615

d = 3.46 units

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Round 905154 to the nearest ten thousand
beks73 [17]
905,154 rounded to the nearest ten thousand is 910,000. This is because the 5 in the thousands place is equal to 5, and when the number is 5 or more, you round up. That’s why when you round that number to the nearest ten thousand, it is 910,000.
8 0
3 years ago
a motel clerk counts his $1 and $10 bills at the end of the day. he finds that he has a total of 56 bills having a combined mone
alina1380 [7]
We can write a system of equations:

1x + 10y = 182
x + y = 56

Where 'x' is the number of $1 bills, and 'y' is the number of $10 bills.

To find this we can solve using substitution.

Re-arrange the 2nd equation:

x + y = 56

Subtract 'y' to both sides:

x = -y + 56

Now we can plug in '-y + 56' for 'x' in the first equation.

1x + 10y = 182

1(-y + 56) + 10y = 182

-y + 56 + 10y = 182

Subtract 56 to both sides:

-y + 10y = 126

Combine like terms:

9y = 126

Divide 9 to both sides:

y = 14

Now we can plug this into any of the two equations to find the 'x' value.

x + y = 56

x + 14 = 56

Subtract 14 to both sides:

x = 42

So our final answer is (42, 14).

This means that the motel clerk had 42 $1 bills, and 14 $10 bills.
7 0
3 years ago
Write an integer that represents the situation. Do not type any units, labels, or spaces on your answer will be scored as incorr
NISA [10]

Answer:

The integer that represents the situation is 5.

Step-by-step explanation:

When you gain 5 yards, that is considered a positive increase in value.

You can either put 5 or +5 because they indicate the same positive value.

3 0
3 years ago
Which of the point-slope equations below are correct for the line that passes through points (-4,-14) and (1,3)?
Scrat [10]
(-4,-4)(1,3)
slope = (3 - (-4) / (1 - (-4)
slope = (3 + 4) / (1 + 4) = 7/5

y - y1 = m(x - x1)...using (-4,-4)
slope(m) = 7/5
y - (-4) = 7/5(x - (-4) =
y + 4 = 7/5(x + 4) <==here is one

y - y1 = m(x - x1)..using (1,3)
slope = 7/5
y - 3 = 7/5(x - 1) <== here is the other one
4 0
3 years ago
A computer repairman charged $720 to come visit a business, plus $45 per hour of work. During one week he earned $1,800. How man
Anvisha [2.4K]

Answer:

24 hours

Step-by-step explanation:

Hi,

The equation to represent this situation would be 45x + 720 = 1800

(45 is the cost per hour, x is the number of hours since you don't know how many hours that person was there for. 720 is there because no matter what, you have to pay 720 to visit and = 1800 is the total cost)

Now, solve for x.

45x + 720 = 1800

Subtract 720 on both sides...

45x = 1080

Divide by 45 on both sides...

x = 24

He worked 24 hours that week.

Hope this helps :)

6 0
2 years ago
Read 2 more answers
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