An oil refinery produces gasoline from crude oil. For every 10,000 barrels of crude oil supplied, the refinery can produce 6,500 barrels of gasoline. How many barrels of gasoline can be produced from 3,500 barrels of crude oil?
Answers
with the information that from 10,000 barrels of crude oil, 6,500 barrels of refined oil are produced, it immediately pops out that from x amount of crude oil, 65% will be refined.
now we need to find what is 65% of 3,500
to find x, we multiply 65 × 3,500 and that amounts to 227,500
that then is divided by 100 so 227,500 ÷ 100 = 2,275
1 barrel of crude oil will produce 6500÷10000 barrels of gasoline
3500 barrels of crude oil will produce 6500 × 3500 ÷10000 barrels
= 3500 barrels of crude oil produce 2275 barrels of gasoline
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B. –7 > x > 6
C. –6 < x < 6
D. –7 < x < 6
Answers
Answer D
1) if 4x+2>0 then |4x+2|=4x+2
==> 4x+2<26
==>4x<24
==>x<6
2) if 4x+2<0 then |4x+2|=-(4x+2)=-4x-2
==>-4x-2<26
==>-4x<28
==>x>-7
thus -7<x<6
Answer:
D. –7 < x < 6
Step-by-step explanation:
Answers
-3x>27 |(-1)
3x<-27
x<-9
x∈(-∞,-9)
Answers
t ≥ 158.33, or rounded, t ≥ 160.
Explanation:
The equation we're given is
W = -0.414t + 129.549, which an be written as
-0.414t + 129.549 = W.
We are asked to find the amount of time it would take for the water level to be less than or equal to 64 cups. Plugging this information in, we have:
-0.414t + 129.549 ≤ 64
To solve this, we first cancel 129.549 by subtracting from both sides:
-0.414t + 129.549 - 129.549 ≤ 64 - 129.549
-0.414t ≤ -65.549
Now divide both sides by -0.414:
-0.414t/-0.414 ≤ -65.549/-0.414
t ≥ 158.33
(When we multiply or divide both sides of an inequality by a negative number, we must flip the inequality symbol.)
its factoring quadratics
Answers
olume = length * height * width
Therefore 280 = 4 * (n + 2) * (n + 5)
Divide both sides of the equation by 4
70 = (n + 2)(n +5)
Expand
70 = n^2 + 5n + 2n + 10
Subtract 70 from both sides and simplify
0 = n^2 + 7n -60
Factor
(n +12)(n -5) = 0
Therefore n = -12 or + 5
As n cannot be less than -2 as you cannot have a negative dimension, it means that n = 5 and the sides are 4, (5 + 2), (5 + 5) = 4, 7 and 10 inches respectively
Volume is therefore
4*7*10 = 280 = correct
Hope this helped!
A) 10°
B) 11°
C) 20°
D) 21°
2. A right angle is shown divided in two parts. The measure of the angle of one part is 30 degrees and the measure of the other part is 5x plus 15 degrees. What is the value of x?
A) 3
B) 9
C) 12
D) 15
Answers
supplementary add to 180
10x+70=180
minus 70 both sides
10x=110
divid both sides by 10
x=11 degrees
B
2.
right angle is 90 degrees
30+5x+15=90
5x+45=90
minus 45 both sides
5x=45
divide 5 both sides
x=9
B
1. B
2. B
1) 10x+70 = 180
10x = 180-70
10x = 110
x =11
2) 5x+15+30 =90
5x = 90-45
x = 45/5
x = 9
Answers
V=1/2*14*25
V=175yd^2
5. V=1/2bh
V=1/2*24*25
V=300m^2