Find the volume of wood used to make a closed box of outer dimensions 60 cm × 45 cm × 32 cm, the thickness of wood being 2.5 cm all around.

Answers

Answer 1

Answer: The dimension of the rectangular box is 60cm x 45cm x 32cm. The dimension of the wood used has the thickness of 2.5 cm all around the rectangular box. In order to get the volume of the wood, subtract each side of the rectangular box by 2.5.

Volume = 57.5 cm x 52.5cm x 29.5cm
Volume = 89053.1252 cm^3

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Find m and b in the following equations.What do m and b represent?
a.
y= 2x +1
b. y=zx-4

Answers

Answer:

Step-

by-step explanation:

You toss a coin and roll a number cube. Find P(tail and a six).

Answers

there are 6 heads and 6 tails as and outcome so
H-T, H-T, H-T, H-T, H-T, H,T

Heads - 1
Heads - 2
Heads - 3
Heads - 4
Heads - 5
Heads - 6
Tails - 1
Tails - 2
Tails - 3
Tails - 4
Tails - 5
Tails - 6
We have to find the probability of tail and 6 so there is only one tail and a 6
P(tail and a six) = 1/12 = 0.08
hope it helps

There will be 12 possible outcomes. So, the probability of (tail and a sic) would be equal to = 1/12

1/12 is your answer..........

Laura rents a movie for a flat fee of $2.00 plus an additional $0.50 for each night she keeps the movie. Choose the cost function that represents this scenario if x equals the number of nights Laura has the movie.a) c(x) = 2.00x + 0.50
b)c(x) = 2.00 + 0.50x
c) c(x) = 2.50x
d)c(x) = (2.00 + 0.5

Answers

b)c(x) = 2.00 + 0.50x

Remember that since 2.00 is the flat fee, so there is no variable. After that, though, there is the fee of .50 which is charged every day you have a movie.

say you had the movie rented out for five days
c(5)=2.00+.50(5)
=2.00+2.5
c(5)=4.5

Hope this helped!

Answer:

The cost function that represents this scenario is c(x) = 2 + 0.50x .

Option (b) is correct .

Step-by-step explanation:

As given

Laura rents a movie for a flat fee of $2.00 plus an additional $0.50 for each night she keeps the movie.

if x equals the number of nights Laura has the movie.

Than the cost function that represents this scenario .

c(x) = Flat fee + Cost for x equals the number of nights Laura has the movie.

c(x) = 2 + x × 0.50

c(x) = 2 + 0.50x

Therefore the cost function that represents this scenario is c (x) = 2 + 0.50x .

Option (b) is correct .

abbie spent 5/8 of her money and saved the rest. if she spent 45,how much money did she have at first?

Answers

$72

Further explanation

Given:

Abbie spent ⁵/₈ of her money and saved the rest.

She spent $45.

Question:

How much money did she have at first?

The Process:

The meaning of "Abbie spent ⁵/₈ of her money" is that she has spent 5 of the 8 parts of the money she had at first.

Let us make a pattern of 8 units for the amount of money that Abbie had at first.

$\boxed{\cdot}\boxed{\cdot}\boxed{\cdot}\boxed{\cdot}\boxed{\cdot}\boxed{\cdot}\boxed{\cdot}\boxed{\cdot}$

Since Abbie spent ⁵/₈ of her money, then we create a pattern of 5 units containing $9 each. Recall that $\boxed{\$ 45 / 5 = \$ 9}$

$\boxed{\$ 9}\boxed{\$ 9}\boxed{\$ 9}\boxed{\$ 9}\boxed{\$ 9} = \$ 45$

From the pattern above, we can see that $\boxed{ \ 1 \ unit = \$ 9 \ }.$

Let us calculate how much money Abbie had at first.

$\boxed{ \ 1 \ unit = \$ 9 \ }$

$\boxed{ \ 8 \ unit = \ ? \ }$

$\boxed{ \ 8 * \$ 9 = \$ 72 \ }$

Thus, the money Abbie had at first is $72.

The complete pattern of Abbie's initial money is as follows:

$\boxed{\$ 9}\boxed{\$ 9}\boxed{\$ 9}\boxed{\$ 9}\boxed{\$ 9}\boxed{\$ 9}\boxed{\$ 9}\boxed{\$ 9} = \$ 72$

- - - - - - - - - -

Quick Steps:

Let M as Abbie's initial money.

$\boxed{ \ (5)/(8) * M = \$ 45 \ }$

Both sides are multiplied by ⁸/₅ so that M is the subject alone on the left side.

$\boxed{ \ M = (8)/(5) * \$ 45 \ }$

We crossed out 5 and 45.

$\boxed{ \ M = 8 * \$ 9 \ }$

$\boxed{ \ M = \$ 72 \ }$

Thus, the money Abbie had at first is $72.

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Keywords: Abbie, spent 5/8 of her money, saved the rest, $45, $72, how much money, she have at first, the pattern

Note that 5/8 is equivalent to $45

1/8 is equivalent to $45 ÷ 5 = 9

8/8 (aal) is equivalent to 8 x 9 = 72

She had $72

7 4/6 - 2 3/6 subtracting mixed numbers?

Answers

Since they both have the same denominator it's just straight subtraction...

7 4/6
- 2 3/6
_________
5 1/6

The answer is 5 1/6. You need to take the whole numbers and then the top number and don't do anything to the bottom number.

Guyyyy Please help I have no idea what the answer is

Answers

Answer:

Step-by-step explanation:

x = 90 - 54 = 36

Answer:

x = 36

Step-by-step explanation:

The sum of all the angles in a triangle is 180

Add the known angles together

54 + 90 = 144

then subtract 180 and 144 to find x

180 - 144 =36

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