Step-by-step explanation:
To find a rat of change (ROC) you take the two numbers and the two prices and subtract them to make a ratio<u>:</u>
<u>_</u><u>_</u><u>_</u><u>_</u><u>6</u><u>-</u><u>3</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u> = <u>_</u><u>_</u><u>_</u><u>3</u><u>_</u><u>_</u><u>_</u>
$2.56-$2.44 = $2.12
The reduce to the lowest number (the 3 to a 1)
<u>_</u><u>_</u><u>3</u><u>_</u><u>_</u><u>_</u> = <u>_</u><u>_</u><u>_</u><u>1</u><u>_</u><u>_</u>
$2.12 $0.71
The ROC is $0.71
Answer:
1. 16 cups
2. 8 pints
Step-by-step explanation:
In this question, we are asked to calculate the amount of cups of juice made from a certain gallon and the amount left in pints after some certain amount of the juice was consumed.
To solve this problem, we need to know the amount of cups present in a gallon of juice.
Mathematically, there are 16 cups present in a gallon. Now since she made two gallons, the amount of cups present is thus 16 * 2 = 32 cups of juice
2. 16 cups was consumed by the family. The amount of cups left is thus 32 - 16 = 16 cups of juice
We need our answer in pints however.
Mathematically, 1 pint is composed of 2 cups.
This means 16 cups would be composed of 16/2 pints = 8 pints
Answer:
= (3t+2)(3t-2)(3t-4)
Step-by-step explanation:
Given the expression 27t^3 - 36t^2 - 12t + 16
On factoring:
(27t^3 - 36t^2) - (12t + 16)
= 9t²(3t-4)-4(3t-4)
= (9t²-4)(3t-4)
factoring 9t²-4
9t²-4 = (3t)² - 2²
From different of two square, a²-b² = (a+b)(a-b)
Hence (3t)² - 2² = (3t+2)(3t-2)
= (9t²-4)(3t-4)
= (3t+2)(3t-2)(3t-4)
Hence the factored form of the expression is (3t+2)(3t-2)(3t-4)
The last number line the correct answer!
-2a-5>3
-2a>8
a<-4
( the sign is flipped in the end because when you multiply or divide by a negative number, the sign flips the other way around)
