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3 years ago

Write 45 as a product of prime factors.

1 answer:

7 0

45=9 x 5
=3 x 3 x 5
Break up 45 into factors and that factor into factors until all of the factors are prime.
45=3 x 3 x 5
Hope this helps.

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Hector has a floor plan showing his new house. On the floor plan, his bedroom is 3 inches wide and 3

Nat2105 [25]

Question:

Hector has a floor plan showing his new house. On the floor plan, his bedroom is 3 inches wide and 3 1/2 inches long. The scale of the floor plan is 1/4 inch = 1 foot. What is the actual length of Hector’s room?

Answer:

The actual length of Hector room is 14 foot

Solution:

Given that, On the floor plan, his bedroom is 3 inches wide and $3\frac{1}{2}$ inches long

The scale of floor plan is given as:

$\frac{1}{4} \text{ inch} = 1 \text{ foot }$

Therefore,

$1 \text{ inch } = 4 \text{ foot}$

To find: Actual length of floor

From given question,

$length = 3\frac{1}{2} \text{ inches}$

Converting the mixed fraction to improper fraction,

$length = \frac{2 \times 3 + 1}{2} = \frac{7}{2} \text{ inches }$

Since, 1 inch = 4 foot

$\frac{7}{2} \text{ inches } = \frac{7}{2} \times 4 \text{ foot } = 14 \text{ foot }$

Thus actual length of Hector room is 14 foot

6 0

3 years ago

Please help! this is timed!

Scilla [17]

Answer: -8-10

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

To rent a bounce house: At Mike's Bounce Shop costs $30 plus $2 per hour. At Jose's Bounce Rentals, it costs $12 plus $8 per hou

ANEK [815]

Answer: After 3 hours both will have the same cost.

Step-by-step explanation:

Let x = Number of hours and y be the total cost.

Total cost = Initial cost + (cost per hour)(Number of hours)

At Mike's Bounce Shop,

Total cost (y)= 30+2x

At Jose's Bounce Rentals,

Total cost(y) = 12+8x

When both shops have the same cost, then

$12+8x=30+2x\\\\\Rightarrow\ 8x-2x=30-12\\\\\Rightarrow\ 6x=18\\\\\Rightarrow\ x=3$

Total cost = 12+8(3)=12+24=$36

Hence, After 3 hours both will have the same cost.

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3 years ago

1×+3=4×-6 need help finding this out

sladkih [1.3K]

Answer:

x = 3

Step-by-step explanation:

x + 3 = 4x - 6

add 6 to both sides

x + 9 = 4x

subtract x from both sides

9 = 3x

divide 3 from both sides

x = 3

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3 years ago

Read 2 more answers

Lacy walks 3 miles in one hour. how many feet does Lacy walk in 30 minutes

lapo4ka [179]

I believe the answer is 7920 feet.

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4 years ago