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.
The answer would be 13.9 kg of gravel used per square meter
Differentiate both sides with respect to x
Answer:
7/40
Step-by-step explanation:
There are 3 girls+9 boys = 12 students in the 7th grade
P (girl in 7th grade) = girls/ total
= 3/12 = 1/4
There are 7 girls+3 boys = 10 students in the 8th grade
P (girl in 8th grade) = girls/ total
= 7/10
P(7th grade girl, 8th grade girl) = 1/4 * 7/10 = 7/40
Answer:
1 and 1/6
Step-by-step explanation:
To rename a fraction you multiply both numbers by however many times the original denominator goes into the new one.
2 goes into 6 three times.
1 times 3 is 3
and 2 times 3 is 6
so 1/2=3/6
3 goes into 6 twice
2 times 2 is 4
and 2 times 3 is 6
so 2/3=4/6
to add fractions you add the numerators while keeping the denominators the same.
3+4=7 so:
3/6+4/6=7/6
6/6=1
so 7/6 contains 1 whole
once you take that out you have 1/6 left over