Option D. 96 is the correct answer.
Explanation:
Let the higher grade be = x
Let the lower grade be = y
As given, The difference of the two grades is 16
or
.... (1)
The sum of one-eighth of the higher grade and one-half of the lower grade is 52.
... (2)
Putting the value of x=16+y in equation (2)






As x=16+y
x=16+80 = 96
Hence, higher grade is 96.
1a=3.04
2a=30.4
3a=304
4a=3040
Answer:
Midpoint is (3.5, 2)
Step-by-step explanation:
the midpoint of the line segment whose endpoints are (5, 2) and (2, 2)
To find midpoint of two end points we use formula

(5, 2) , x1 = 5 and y1= 2
(2,2), x2=2 and y2= 2
Plug in all the values and find the midpoint using the formula


(3.5, 2)
So midpoint is (3.5,2)
Answer:
x=8
Step-by-step explanation:
the larger triangle has a scale factor of 4/3, so 4/3 times 5x+2=7x
(20x+8)/3=7x
20x+8=21x
8=x
<span>
Answer:k = </span>

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Explanation:To get the value of k, we will need to isolate it on one side of the equation.
This can be done as follows:
d = a(2+kt)
<u><em>1- get rid of the brackets using distributive property:</em></u>
d = a(2+kt)
d = 2a + akt
<u><em>2- Subtract 2a from both sides of the equation:</em></u>
d - 2a = 2a + akt - 2a
d - 2a = akt
<u><em>3- Divide both sides of the equation by "at":</em></u>
</span>

<span>
</span>

<span>
<u><em>4- We can further simplify the answer as follows:</em></u>
</span>k =

<span>
Hope this helps :)</span>