Answer:
The problem basically is saying that find two numbers that add up to 8, where one is three times the other.
Step-by-step explanation:
The best thing to do here is to write a simple system of equations.
b+y=8
b=3y
The first equation means that the total blue paint plus the total yellow paint is equal to 8 ounces.
The second equation means that the blue paint is equal to 3 times the yellow paint.
We can isolate b in the first equation to get b=-y+8
-y+8=3y
8=4y
y=2.
So we have that she needs two ounces of yellow paint.
Therefore she needs six ounces of blue paint.
Drag the yellow bar to 2, and the blue bar to 6.
Hope this helps!
Perform the indicated operation.
-8 + (-4) = -12
Steps:
-8 + ( -4 )
Remove Parenthesis:
( -a ) = -a
-8 - 4
Subtract the numbers:
-8 - 4
= -12
Answer: -8 - 4 = -12
Hope that helps!!!! : )
answer is (-7,2)
y = -x -5
y= x+9
Both equations have y on the left hand side
So we equate both equations
We replace -x-5 for y in the second equation
-x -5 = x+9
Subtract x on both sides
-2x -5 = 9
Now add 5 on both sides
-2x = 14
Divide by -2 from both sides
x = -7
Now plug in -7 for x in the first equation
y = -x -5
y = -(-7) -5= 7-5 = 2
So answer is (-7,2)
Given:
A figure of a parallelogram.
The vertex angles are
.
To find:
The values of a and b.
Solution:
We know that the pairs of consecutive angles of a parallelogram are supplementary angles. It mean their sum is 180 degrees.
(Supplementary angles)
![(17b+10)^\circ=180^\circ](https://tex.z-dn.net/?f=%2817b%2B10%29%5E%5Ccirc%3D180%5E%5Ccirc)
![17b+10=180](https://tex.z-dn.net/?f=17b%2B10%3D180)
Subtract 10 from both sides.
![17b=180-10](https://tex.z-dn.net/?f=17b%3D180-10)
![17b=170](https://tex.z-dn.net/?f=17b%3D170)
Divide both sides by 17.
![b=\dfrac{170}{17}](https://tex.z-dn.net/?f=b%3D%5Cdfrac%7B170%7D%7B17%7D)
![b=10](https://tex.z-dn.net/?f=b%3D10)
Now,
![(5b+2)^\circ=(5(10)+2)^\circ](https://tex.z-dn.net/?f=%285b%2B2%29%5E%5Ccirc%3D%285%2810%29%2B2%29%5E%5Ccirc)
![(5b+2)^\circ=(50+2)^\circ](https://tex.z-dn.net/?f=%285b%2B2%29%5E%5Ccirc%3D%2850%2B2%29%5E%5Ccirc)
![(5b+2)^\circ=52^\circ](https://tex.z-dn.net/?f=%285b%2B2%29%5E%5Ccirc%3D52%5E%5Ccirc)
And,
(Supplementary angles)
![52^\circ+2a^\circ=180^\circ](https://tex.z-dn.net/?f=52%5E%5Ccirc%2B2a%5E%5Ccirc%3D180%5E%5Ccirc)
![2a^\circ=180^\circ-52^\circ](https://tex.z-dn.net/?f=2a%5E%5Ccirc%3D180%5E%5Ccirc-52%5E%5Ccirc)
![2a^\circ=128^\circ](https://tex.z-dn.net/?f=2a%5E%5Ccirc%3D128%5E%5Ccirc)
Divide both sides by 2.
![a^\circ=\dfrac{128^\circ}{2}](https://tex.z-dn.net/?f=a%5E%5Ccirc%3D%5Cdfrac%7B128%5E%5Ccirc%7D%7B2%7D)
![a^\circ=64^\circ](https://tex.z-dn.net/?f=a%5E%5Ccirc%3D64%5E%5Ccirc)
![a=64](https://tex.z-dn.net/?f=a%3D64)
Therefore, the value of a is 64 and the value of b is 10.