Answer : 96
x – y = 16 --------> equation 1
1/8 x + 1/2 y = 52
x is the higher grade and y is the lower grade
We solve the first equation for y
x - y = 16
-y = 16 -x ( divide each term by -1)
y = -16 + x
Now substitute y in second equation
1/8 x + 1/2 ( -16 + x ) = 52
1/8x - 8 + 1/2 x = 52
1/8x + 1/2x - 8 = 52
Take common denominator to combine fractions
1/8x + 4/8x -8 = 52
5/8x - 8 = 52
Add 8 on both sides
5/8x = 60
Multiply both sides by 8/5
x = 96
We know x is the higher grade
96 is the higher grade of Jose’s two tests.
Answer:
Undefined
<em>Step </em><em>by</em><em> step</em><em> </em><em>explaination:</em>
<em> </em>
by order of operations we know that we multiply first;
so, 0x-(7*9)=0
1) Multiply the ones in brackets first:
0x-63=0
2) To make X the subject perform the opposite operation:
0x-64+63=0+63
0x=63
3) Divide 0 on both sides;
0x/0= 63/0
therefore; <u>x is undefined</u>
W=l-8
a=9
a=lw
9=(l-8)l
9=l²-8l
0=l²-8l-9
factor
0=(l-9)(l+1)
set to zero
l-9=0
l=9
l+1=0
l=-1, false length can't be negative
l=9
the length is 9 units long
Answer:
7.68
Step-by-step explanation:
For #7, one line should have the y-intercept of -2 and a slope of 2/3 and the other line's y-intercept is 1 and its slope should be -5.
In the image provided, the red line represents 2/3x - 2 and the blue line represents -5x + 1.
8) Organize the information you are given.
*Savannah is 24 years older than Ryan.
So, Ryan's age + 24 = Savannah's age.
*Sebastian is 5 times as old as Ryan.
So, Ryan's age × 5 = Sebastian's age.
*Savannah and Sebastian are twins. They have the same age.
So, Savannah's age = Sebastian's age
Let x represent Ryan's age.
Write the equation based on the information you are given.
x + 24 = x(5)
x + 24 = 5x
Solution: D) 24 + x = 5x