Answer: 7/24
Step-by-step explanation:
Fraction of the items barbecued that are veggie burgers = 3/8
Fraction of the items barbecued that are corn cobs = 1/3
The fraction of the items barbecued that are mushrooms caps will be:
= 1 - (3/8 + 1/3)
The lowest common multiple of 8 and 3 is 24.
= 1 - (3/8 + 1/3)
= 1 - [(3/8 × 24) + [(1/3 × 24)]
= 1 - (9/24 + 8/24)
= 1 - 17/24
= 7/24
Answer:
8 + 
Step-by-step explanation:
I'm assuming you want an answer to the top section of the question.
We can start with 8.
8
When a problem asks for the sum, it's looking for addition, so we use the + sign.
8 +
The problem says "a number," so let's represent that with x. Basically, x just means a number we don't know.
8 + x
The "number" is divided by 4, so we'll just put x/4 as our second term.
8 +
Answer:
57 + 3x
Step-by-step explanation:
“More than” is called “+”.
“Times” is called “×”.
Greg's score will be represented as “x”.
Note: “3x” also means “3 × x”.
Answer:
You have to follow PEMDAS or parenthesis, exponents, multiplication, division, addition, and subtraction. It's an order to solve equations. I listed the steps and the answers for you below :) I have throughly checked them so they should be correct! yw :D
Step-by-step explanation:
1. 5x + 4x - 6x = 24
9x - 6x = 24
3x = 24
24/3 = 8
<u><em>x = 8</em></u>
2. 8y + 5 - 4y + 1 = 46
8y - 4y = 4y
5 + 1 = 6
4y + 6 = 46
4y = 46 - 6
4y = 40
40/4 = 10
<u><em>y = 10</em></u>
<u><em></em></u>
3. 33 = 5 ( x + 8 ) + 3
33 = 5x + 40 + 3 <em>(because we distributed)</em>
33 = 5x + 43
5x + 43 = 33<em> (just rewriting it to make it easier)</em>
5x = 33 - 43
5x = -10
-10/5 = -2
<em><u>so x = - 2</u></em>
4. 2m + 3 ( m - 8 ) = 1
2m + 3m - 24 = 1
<em>we got 3m - 24 because we distributed the 3</em>
5m - 24 = 1
5m = 25
25/5 = 5
<em><u>m = 5</u></em>
<em><u /></em>
5. p + p - 2p + 4p = - 48
2p - 2p + 4p = - 48
4p = - 48
- 48 / 4 = - 12
<u><em>p = - 12</em></u>
<u><em></em></u>
6. 2 ( y + 5 ) + 3y = 25
2y + 10 + 3y = 25
5y + 10 = 25
5y = 25 - 10
5y = 15
15/5 = 3
<u><em>y = 3</em></u>
7. 1/4 h + 3/4 h + 1/2 h + 2 = 5
1/4 h + 3/4 h + 1/2 = 3/2 h
3/2 h + 2 = 5
3/2 h = 5 - 2
3/2 h = 3
<u><em>h = 2</em></u>
<u><em></em></u>
8. 60 = 4 ( k + 3 ) + 2 ( k - 3 )
60 = 4k + 12 + 2k - 6
4k + 12 + 2k - 6 = 60
6k + 6 = 60
6k = 60 - 6
6k = 54
<u><em>k = 9 </em></u>
<u><em></em></u>
9. - 2 ( d + 1.4 ) - 1.8 = 20.6
-2d + - 2.8 - 1.8 = 20.6
-2d - 2.8 = 22.4
-2d = 25.2
<u><em>d = - 12.6 </em></u>
<u><em></em></u>
10. 8 - 2 ( w + 4 ) = 10
8 + - 2 w + - 8 = 10
-2w + 9 + - 8 = 10
-2w = 10
10 / -2 = -5
<u><em>w = -5</em></u>
Answer:
504 ft^3
Step-by-step explanation:
Ok, so we have the equation for the cylinder as well as the rectangular prism. Basically we're just going to find the volume of each of them separately and then add them together.
Let's start with the cylinder:
V(cylinder) = pi*r^2*h
pi = 3
d = 4ft
r = d/2 = 4/2 = 2ft
h = 12ft
V(cylinder) = (3)*(2^2)*(12)
V(cylinder) = 3*4*12
V(cylinder) = 144 ft^3
Now the rectangular prism:
V(rectangular prism) = l*w*h
l = 10ft
w = 6ft
h = 6ft
V(rectangular prism) = 10*6*6
V(rectangular prism) = 360 ft^3
Now we can add them together:
V(total) = 360 + 144
V(total) = 504 ft^3
