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motikmotik
2 years ago
8

Write a scenario that could be represented by this equation: 3/4x = 12

Mathematics
1 answer:
Aneli [31]2 years ago
8 0

Answer:

x=1 or x=16

Step-by-step explanation:

3/4x = 12      or        0.75x = 12

3/4x/3/4 = 12/3/4     or     0.75x/0.75 = 12/0.75

x=12/1 / 3/4

x= 4/4

x = 1                           or       x = 16

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41. Suppose a family drives at an average rate of 60 mi/h on the way to visit relatives and then at an average rate of 40 mi/h o
Afina-wow [57]

Answer:

The answer is below

Step-by-step explanation:

a) Let x represent the time taken to drive to see the relatives and let d be the distance travelled to go, hence:

60 mi/h = d/x

d = 60x

When returning, they still travelled a distance d, since the return trip takes 1 h longer than the trip there, therefore:

40 mi/h = d/(x+1)

d = 40(x + 1) = 40x + 40

Equating both equations:

60x = 40x + 40

60x - 40x = 40

20x = 40

x = 40/20

x = 2 h

The time taken to drive there = x = 2 hours

b) The time taken for return trip = x + 1 = 2 + 1 = 3 hours

c) The distance d = 60x = 60(2) = 120 miles

The total distance to and fro = 2d = 2(120) = 240 miles

The total time to and fro = 2 h + 3 h = 5 h

Average speed = total distance / total time = 240 miles / 5 h = 48 mi/h

5 0
2 years ago
A is a graph that is unbroken
vichka [17]

Answer:A function whose graph is an unbroken line or curve with no gaps or breaks. Direct Variation


Step-by-step explanation:

A function whose graph is an unbroken line or curve with no gaps or breaks. Direct Variation. A linear relationship between two variables, x and y, that can be written in the form y=kx, where k is a nonzero constant. Discontinuous Function. A function whose graph has one or more jump, breaks, of holes.


4 0
3 years ago
Melt Away Weight Loss uses the regression equation
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In our equation, the Y value is the dependent variable and the X is the independent variable. The amount of pounds lost depends on the number weeks on a diet. To get the actual pounds Steve was able to lose in 4 weeks, we have:

Y = 1.8x + 1.2
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Step-by-step explanation:

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5 0
3 years ago
Read 2 more answers
There are two sizes of red and blue marbles in a box. If the big marbles in the box, 45 are red and 3/4 are blue. The fraction o
Nat2105 [25]
Let
x------> amount of <span> big marbles in the box
y------> </span>amount of  small marbles in the box
R----> amount of  small marbles that are red in the box
B----> amount of  small marbles that are blue in the box

we know that
x=45+(3/4)*x----> x-(3/4)*x=45----> x/4=45-----> x=180

R+B=y-----> equation 1
R=(2/5)*y---> equation 2
B=(3/5)*y---> equation 3
B=R+24----> equation 4

substitute equation 2 in equation 1
[(2/5)*y]+B=y----> equation 5

substitute equation 2 in equation 4
B=[(2/5)*y]+24----> equation 6

resolve the system
[(2/5)*y]+B=y---> multiply by 5----> 2y+5B=5y----> 3y=5B
B=[(2/5)*y]+24----> multiply by 5----> 5B=2y+120

using a graph tool
see the attached figure

the solution is
B=72
y=120
R=y-B----> R=48

total marbies=x+y-----> 180+120-----> 300
tota; big marbies=180
<span>percent of the marbles are big marbles
</span>if 100%-----------> 300
 X----------------> 180
x=180*100/300-----> x=60%

the answer is
60%

8 0
3 years ago
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