Answer:
1 quart blue + 1 1/2 quart red
Step-by-step explanation:
Given:
Ratio of blue paint : red paint = 1/3 : 1/2
simplifying this ratio into whole numbers by multiplying both sides by 2 and 3, we get:
(1/3) x (3x2) : (1/2) x (3x2)
2 : 3
From this we can determine the fractions of red and blue paint used in any total purple mix
fraction of blue paint = 2/(2+3) = 2/5 of purple mix
fraction of red paint = 3/(2+3) = 3/5 of purple mix
we are given that we want to make 2 1/2 (= 5/2) quarts of purple paint
hence
amount of blue paint
= fraction of blue paint in purple mix x total amount of purple paint
= (2/5) x (5/2) = 1 quart
amount of red paint
= fraction of redpaint in purple mix x total amount of purple paint
= (3 /5) x (5/2) = 3/2 quart = 1 1/2 quart
Answer: No
Step-by-step explanation:
The question is whether 3(4x+2) could ever equal 6(2x+2). So let's set them equal to each other and find if there is a value of x, the days, where they are equal.
3(4x+2) = 6(2x+2)
12x + 6 = 12x+2
6 = 12?? No
They will bnever be at the same height. They are growing at the same rate (12x) but starting at different heights (6 and 12)
Multiply amount sold by commission rate:
4500 x 0.13 = 585
She made $585 last week.
Multiply amount made in 1 week by 52 weeks ( 1 year = 52 weeks)
585 x 52 = 30,420
She made $30,420 in 2011
Answer:
x = 0
y = -2
Step-by-step explanation:
to solve this simultaneous equation we are going to say
let
12x - 3y = 6 ............................ equation 1
2x - y = 2 ................................. equation 2
from equation 2
2x - y = 2 ................................. equation 2
2x - 2 = y
y = 2x - 2 ................................ equation 3
substitute the value of y into equation 1
12x - 3y = 6 ............................ equation 1
12x - 3( 2x -2) = 6
12x -6x + 6 = 6
6x + 6 = 6
6x = 6-6
6x = 0
divide both sides by 6
6x/6 = 0/6
x = 0
put the value of x = 0 into equation 3
y = 2x - 2 ................................ equation 3
y = 2(0) - 2
y = 0 - 2
y = -2
therefore from the solution the value of x is equal to zero(0) and the value of y is equal to -2 respectively.
Answer:
B = C - D / A
Step-by-step explanation:
C = AB + D
subtract D
C - D = AB
Divide by A
B = C - D / A
C and D are both divided by A