Alaine has 1 gallon of paint. She is going to pour it into a paint tray that measures 10 inches wide, 12 inches long, and 5 cm deep.

(1 gallon = 231 in3, 1 inch = 2.54 cm)

Answers

Answer 1

Answer: $the\ volume\ of\ a\ paint\ tray\ is:\n\n V=10\ in\cdot 12\ in\cdot5\ cm=120\ in^2\ \cdot (5)/(2.54) \ in= (600)/(2.54) \ in^3=\n\n=(600)/(2.54)\cdot (1)/(231) \ gallons= (200)/(2.54\cdot77) \ gallons= (200)/(195.58) \ gallons>1\ gallon\n\nAns.\ Alaine\ fit\ one\ gallon\ of\ paint\ to\ the\ paint\ tray.$

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The width of a rectangle is five less than twice the length. What is the minimum area of the rectangle?
10. $20 item marked down 40%
one serving of a cookie recipe calls for 6 tablespoons of sugar. if one serving makes enough for 4 people, how much sugar is needed to serve 10 people?
Prove the logarithm of 100 is 2

Express each as a single power of 2...

2^a X 2^b X 2^c

2^a+b X 2^a-b

Answers

i) $2 ^(a)*2 ^(b)* 2^(c)$
We know that $x^(a) * x^(b) = x^(a+b)$
Therefore,
$2 ^(a)*2 ^(b)* 2^(c)$ = $2 ^(a+b+c)$
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$= 2^(2a)$

Solve -5(3 n + 4) = 40.

Answers

the answer is n=-4 because you need to solve for n

-5(3 n + 4) = 40
-15n-20=40
-15n=40+20
-15n=60
n=-4

The perimeter of a rectangle is 154 feet. The length of the rectangle is 55 feet. What is the width of the rectangle?

Answers

Hi there! Okay well to find out the width when you all ready have the perimeter and length just add up both sides of the length, 55+55=110 okay now just subtract 110 from 154, 154-110=44 now since there are to sides for width in a rectangle divide 44 by 2, 44÷2=22 so your width is 22 now to check add up all your side's: 55+22+55+22=154 ANSWER: width = 22ft

Answer: if you need help with an answer your but will help you

Step-by-step explanation:

Michael's checking account balance was $345. Michael withdrew $160 three times. What is his balance now?

Answers

345-(160*3)= -135

Michael has negative 135 dollars in his account.

Answer:

The answer is -135

Step-by-step explanation:

We can do 160 times 3 which is 480 for the 3 times he withdrew $160 from his total. (Withdraw means taking, so subtraction).

Then, we do 480 minus 354 which is -135.

Find the rate of change and the initial value for both group n individual session

Answers

$for\ the\ group:\nthe\ rate\ of\ change=29.50\ [\$]\n\n39.50+29.50=69.00\n69.00+29.50=98.50\n98.50+29.50=128.00\n128.00+29,50=157.50\n\nthe\ inital\ value=39.50-29.50=10.00\ [\$]\n---------------------\nfor\ the\ individual:\nthe\ rate\ of\ change=19.50\ [\$] \n\n29.50+19.50=49.00\n49.00+19.50=68.50\n68.50+19.50=88.00\n88.00+19,50=107.50\n\nthe\ inital\ value=29.50-19.50=10.00\ [\$]$

All you have to do to solve this is subtract the first value in a row from the second value in that row, for example $69 - $39.5. That's the rate of change. If you want to check your work, you could subtract the second from the third or the third from the fourth etc. to see if they match. To find the initial value, just subtract the rate of change from the first-hour value.

Slope = -5 and goes thorough point (0, 2)