MATHEMATICS HIGH SCHOOL

Zen wants to fill a window box with soil. The length of the window box is 5 feet, width is 6 inches, and height is 9 inches. Each bag of soil contains 0.625 cubic foot of soil. How many bags of soil will Zen need to fill the window box completely?[1 foot = 12 inches]

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Answers

Answer 1

Answer:

Answer:

$3\ bags$

Step-by-step explanation:

we know that

The volume of the windows box is equal to

$V=lwh$

where

l is the length side of the box

w is the width side of the box

h is the height of the box

In this problem we have

$l=5\ ft$

$w=6\ in$ ------> convert to feet -----> $6/12=0.5\ ft$

$h=9\ in$ ------> convert to feet -----> $9/12=0.75\ ft$

substitute the values

$V=5*0.5*0.75=1.875\ ft^(3)$

Find how many bags of soil will Zen need to fill the window box completely

by proportion

$(1)/(0.625)(bag)/(ft^(3))=(x)/(1.875)(bag)/(ft^(3))$

$x=1.875/0.625\nx= 3\ bags$

Answer 2

Answer: Hello,

Volume of the window box=5*1/2*3/4=15/8 (ft^3)
Volume of the bag=0.625= 5/8 (ft^3)

Number of bags of soil= (15/8)/(5/8)=15/8* 8/5=3 .

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Jeff's club had $370 to divide equally among 2 people. About how much did each person receive? First, round the amount to the nearest hundred dollars. Each person received approximately $______.

Answers

Answer:

$185.

Step-by-step explanation:

To find out how much each person received, we can divide the total amount of money, which is $370, by the number of people, which is 2.

370 ÷ 2 = 185

Therefore, each person received approximately $185.

Cedric and doug each had an equal amount of money. After cedric spent $35 and doug spent $28, the ratio of cedrics money to dougs money was 2:3. How much money did each boy habe at first?

Answers

Answer:

Each of them had $49 at first.

Step-by-step explanation:

Given:

Cedric and Doug each had an equal amount of money.

Let the number of money they had at first be x

Cedric spent = $35

Doug spent = $28

Cedric Money left = $x-35$

Doug Money left = $x-28$

the ratio of Cedric money to Doug money was 2:3

Hence the expression can be made as;

$(x-35)/(x-28)=(2)/(3)$

Now by cross multiplication method we get;

$3(x-35)=2(x-28)$

Now we will use distributive property to elaborate the same;

$3x-105=2x-56$

Combining common terms we get;

$3x-2x=105-56$

Using Subtraction property we get;

$x= 49$

Hence $49 they each had at first.

What is the measure of how much surface an object has?a. mass
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Answers

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Answer:

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Step-by-step explanation:

Write the slope-intercept form of each line

Answers

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Find the probability of rolling two dice and getting two odd numbersA.50%
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Answers

One die has 6 numbers, 3 of which which are odd. That means each roll has a 50% chance of being odd.

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0.5 * 0.5 = 0.25 or 25%

If you visualize the question, we have 4 possibilities:

Roll 1 is even and roll 2 is even.

Roll 1 is even and roll 2 is odd.

Roll 1 is odd and roll 2 is even.

Roll 1 is odd and roll 2 is odd.

Only 1 of the 4 possibilities results in both rolls being odd.

the directions are: solve each equation by factoring. factor out the greatest common factor. where did I go wrong in my work? (the problem is number 11.

Answers

I see that you wanted so badly to factor 7 out of
the trinomial (m² + 14m + 49) .

That's a problem. You can factor 7 out of 14m,
and you can factor 7 out of 49, but you can't factor
it out of m² .

Also, before I do any factoring, remember that when you
factor something out of an expression, you can't just throw
it away. It has to stay there, so that if somebody wanted to
UNfactor the expression, they could put everything back into
its original form. Otherwise, you've changed the value of the
expression, and that's always a no-no.

How to factor 7 out of something: m² + 14m + 49

= m² + 7·(2m + 7) .

Does that look neat and pretty and satisfying ?
Do you think there might possibly be anything more attractive
that you could do with the original expression ?

There is, but I can't quite bring myself to just blurt it out
and tell you what to do to it. So I'll just give you a big fat
hint and ask you to run with it.

Please take (m + 7) and multiply it by itself. (Square it.)

Good luck. Keep shining.
________________________________

By the way ... The factored form for #9 is 3n(n + 1) .

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