Answer:
23 yellow, 30 pink and 12 blue balls
Step-by-step explanation:
Let the number of yellow, pink, blue, and black balls be y, p, b, and x respectively.
<em>From 1st sentence:</em>
y +p +b +x= 90
<em>"</em><em>60</em><em> </em><em>of</em><em> </em><em>them</em><em> </em><em>are</em><em> </em><em>not</em><em> </em><em>pink</em><em>"</em><em> </em>
➜ y +b +x= 60
Given that 25 are black, x= 25.
<em>"</em><em>67</em><em> </em><em>of</em><em> </em><em>them</em><em> </em><em>are</em><em> </em><em>not</em><em> </em><em>yellow"</em>
➜ p +b +x= 67
Subst. x= 25 into the above equations:
y +p +b +25= 90
y+ p +b= 65 -----(1)
y +b +25= 60
y +b= 35 -----(2)
p +b +25= 67
p +b= 42 -----(3)
I will rewrite the 3 equations for better clarity:
y +p +b= 65 -----(1)
y +b= 35 -----(2)
p +b= 42 -----(3)
(1) -(2):
p= 65 -35
p= 30
(1) -(3):
y= 65 -42
y= 23
Substitute p= 30 and y= 23 into (1):
23 +30 +b= 65
b= 65 -53
b= 12
Thus, there 23, 30 and 12 yellow, pink and blue balls respectively.
Subsitution is subsituting
y=3x-2
y=-x+6
subsitute 3x-2 for y in second equation
3x-2=-x+6
add x to both sides
4x-2=6
add 2 to both sides
4x=8
divide both sides by 4
x=2
subsitute
y=-x+6
y=-2+6
y=4
x=2
y=4
Answer:
(-7,-5)
Step-by-step explanation:
- The midpoint formula
- So
- So B = (-7,-5)
Answer:
3 cups
Step-by-step explanation:
Bill needs 5 cups of paint for his bed frame.
The store only sells in quarts and so he buys 2 quarts of paint.
Let us convert to cups to see how many he bought:
1 quart = 4 cups
2 quarts = 2 * 4 = 8 cups
Bill bought 8 cups of paint. Therefore, the number of cups he has left is:
8 - 5 = 3 cups
He will have 3 cups left.
3 = -(-y + 6)
First, simplify the brackets. / Your problem should look like: 3 = y - 6
Second, add 6 to both sides. / Your problem should look like: 3 + 6 = y
Third, add 3 + 6 to get 9. / Your problem should look like: 9 = y
Fourth, switch the side. / Your problem should look like: y = 9
Answer: y = 9
