Answer
24 quarts of green paint should be mixed with 4 cups of black paint.
That is (96 cups)
Step by step explanation
Jasper Green mix 4 quarts of green paint with 2/3 cups of black paint.
Let's convert 4 quarts into cups.
1 quart = 4 cups
4 quarts = 16 cups
Here mix 16 cups of green paint with 2/3 cups of black paint.
Let's use the proportion
Green paint Black paint
16 2/3
x 4
16/x =2/3 divided by 4
Cross multiplying, we get
16*4 = 2/3 x
64 = 2/3 x
x = 64/(2/3)
x = 64 * 3/2
x = 192/2
x = 96 cups
96 cups of green paint should be mixed with 4 cups of black paint.
We can covert 96 cups into quarts by dividing by 4
96/4 = 24 quarts
24 quarts of green paint should be mixed with 4 cups of black paint.
Thank you.
Answer:
$350
Step-by-step explanation:
3 lawns --------------> $105
find unit rate:
1 lawn -------------> $105 ÷ 3 = $35 per lawn
10 lawns --------> $35 per lawn x 10 lawns = $350
Well.. There's 3y-2=y+4 right?
Add 2 and you get 3y=y+6
Minus y- you get 2y=6
Divide it at 2 and you get y=3.
Sorry for the explanation but I'm from another country and this is the best I can
Answer:
<h2>9</h2>
Step-by-step explanation:
(-)(-) = (+)
(-)(+) = (-)
(+)(-) = (-)
(+)(+) = (+)
-(-21) = (-)(-21) = (+)21 = 21
-12 - (-21) = -12 + 21 <em>use commutative property: a + b = b + a</em>
= 21 + (-12) = 21 - 12 = 9
Answer:
b = 4√6
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
<u>Trigonometry</u>
Pythagorean Theorem: a² + b² = c²
- a is a leg
- b is another leg
- c is hypotenuse
Step-by-step explanation:
<u>Step 1: Identify</u>
We have a right triangle, so we can use PT to solve for the missing side.
<u>Step 2: Define</u>
a = 2
b = ?
c = 10
<u>Step 3: Find </u><em><u>b</u></em>
- Substitute: 2² + b² = 10²
- Exponents: 4 + b² = 100
- Isolate <em>b</em> term: b² = 96
- Isolate <em>b</em>: b = √96
- Simplify: b = 4√6
