The slope is negative and is -16 / 8 = -2
The y intercept is at y = 16
General form is y = mx + c
m = -2 and c = 16 so we have :-
y = -2x + 16 Answer
So the recipe calls for 96 grams of sugar, and one cup is 128 grams of sugar.
She added a half of a cup, and as they said before one cup was 128 grams of sugar. So half of 128 is 64. So she added 64 grams of sugar. The recipe needs 96 grams so 64 grams is not enough sugar.
So 96 grams minus 64 equals 32 grams. So she still needs 32 grams of sugar.
So since the answers are all in cups, we must convert our answer from grams to cups.
So we have 32 grams of sugar left and to convert it we must put the 32 grams out of one cup. Once again one cup is 128 grams of sugar. So the amount of cups we need is 32/128 (fraction).
Also we need to simplify our fraction to completely answer the question. So we divide the numerator and denominator by 32.
So the final answer is 1/4. So the answer is D or the last answer out of the multiple choice.
Explanation:
Starting with the first option, the square root of 12 and 8 isn’t a perfect square so it definitely can’t be reduced to 3/2.
It is the same for the second option as well.
Third option :
Root of 36 is 6
Root of 16 is 4
6/4 = 3/2
Fourth option:
Root of 81 is 9
Root of 36 is 6
9/6 = 3/2
Answer:
Therefore, the third and fourth options are the correct choices.
Hope this helped!
Answer:
V = 567 ft³
Step-by-step explanation:
V = Bh
<em>[note: a capital 'B' represents the </em><em>area</em><em> of the base] </em>
<em />
The right triangle is the triangular prism's base.
Because the triangle's height (9 ft) and it's base are the same value (9 ft), we can solve to find the area.
- We can identify the base easily because the base and the top of the prism are exactly the same shape
Area of triangular base:
A = 
A =
(9 ⋅ 9)
A =
(81)
A = 40.5
We have 'B' for the triangular prism's formula, so next we need 'h'. 14 ft is provided as the prism's height, so we just need to multiply 40.5 and 14 for our answer.
Volume of triangular prism:
V = Bh
V = (40.5)(14)
V = 567 ft³