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Crazy boy [7]
3 years ago
13

How many gallons of a 50% antifreeze solution must be mixed with 70 gallons of 30% antifreeze to get a mixture that is 40% antif

reeze?
Mathematics
1 answer:
Colt1911 [192]3 years ago
5 0

Answer:

70 gallons

Step-by-step explanation:

x gallon of 50%

x * 0.5 + 70 * 0.3 = (x + 70) * 0.4

0.5x + 21 = 0.4x + 28

0.1x = 7

x = 70

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12) Oliver is not allowed to watch more than 4 hours of television a week. He watched his favorite show on Monday which was 1 ho
Semenov [28]

Answer:

B. Oliver can watch TV for 1.5 hours more this week.

Step-by-step explanation:

Oliver is not allowed to watch more than 4 hours of television a week. He watched his favorite show on Monday which was 1 hour long and his favorite Tuesday show which was 1.5 hours long.

So he has already finished 2.5 hours of watching . He can watch only for 4 hours for the total week.

Let x be the number of more hours for which he can watch television.

Then ,

x + 1 + 1.5 = 4

x + 2.5 = 4

x = 4 - 2.5

x = 1.5 hours.

So Oliver can watch television for at most 1.5 hours for the rest of the week.

Then the correct option is B.

3 0
3 years ago
Direction if parabola. x2?6x+8=yx2-6x+8=y
STatiana [176]

{\text{Direction of parabola depends on the sign of quadratic coefficient of a }} \hfill \\

{\text{quadratic equation}}. \hfill \\

{\text{For given quadratic equation}}. \hfill \\

a{x^2} + bx + c = 0 \hfill \\

{\text{The parabola is in the upward direction if }}a{\text{ }} > {\text{ }}0{\text{ and in downward direction if }}a < 0 \hfill \\

{\text{Here, the equation of given parabola is }} \hfill \\

{x^2} - 6x + 8 = y \hfill \\

\Rightarrow y = \left( {{x^2} - 6x + 9} \right) - 9 + 8 \hfill \\

\Rightarrow y = {\left( {x - 3} \right)^2} - 1. \hfill \\

{\text{Thus, the parabola is in the upward direction}} \hfill \\

8 0
3 years ago
Point M (-3, 6) and point 'N (1,-1) are located on a coordinate
lisabon 2012 [21]
The distance between point M and point is is about 8.06 units (rounded to nearest hundredth)
6 0
3 years ago
Find the 9th term of the geometric sequence 8, 32, 128, ...
cestrela7 [59]

Answer:

524,288

Step-by-step explanation:

Hope this helps!

4 0
3 years ago
In parallelogram ABCD, the measure of angle A=3x and the measure of angle B =x+10. What is the measure of angle D?
Alinara [238K]

Answer: 52.5

Step-by-step explanation: 2(3x+10)+2(x+10)=360 because all the sides of a rhombus equal 360 and alternate sides are equal

8x+20=360

-20=-20

8x/8=340/8

x=42.5

x+10. 42.5+10=52.5

D=52.5

4 0
3 years ago
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