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frez [133]
3 years ago
6

Split 84 into two parts so that one part is five times greater than the other.

Mathematics
2 answers:
Irina-Kira [14]3 years ago
6 0
The numbers are 14 and 70
dexar [7]3 years ago
3 0

Answer:

The bigger part is 70, the smaller is 14.

Step-by-step explanation:

part 1: 5x

part 2: x

These parts=84

5x+x=84

6x=84 /:6

x=14

70+14=84 ✓

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Find the equation of the line parallel to the given line that passes through the point
Luda [366]
A) parallel, same slope
Y = 3x + b
9 = 3(5) + b
9 = 15 + b, b = -6
Equation: y = 3x - 6x

B) y = -7x + b
11 = -7 + b, b = 18
Y = -7x + 18

c) y = 9x + b
-16 = 18 + b, b = -34

d) y = -x + b
9 = 2 + b, b = 7
Y = -x + 7

Try the rest on your own
3 0
3 years ago
Read 2 more answers
A car traveled at a constant speed. The graph shows how far the car traveled, in miles, during a given amount of time, in hours.
snow_tiger [21]

Answer:

Step-by-step explanation:

A car traveled at a constant speed as shown in the graph.

Distance traveled is on the y-axis and duration of travel on the x-axis.

Point A(3.5, 210) shows,

Distance traveled = 210 miles

Time to travel = 3.5 hours

So the point (3.5, 210) shows the distance traveled by the car in 3.5 hours is 210 miles.

Slope of the line = speed of the car = \frac{\text{Distance traveled}}{\text{Time}}

                           = \frac{210}{3.5}

                           = 60 mph

Now we will find the speed of the car at another point B(1, 60).

If the speed of car is same as the point B as of point A, point B will lie on the graph.

Speed of the car at B(1, 60) = \frac{\text{Distance traveled}}{\text{Time}}

                                             = \frac{60}{1}

                                             = 60 mph

Hence, we can say that point B(1, 60) lies on the graph.

8 0
3 years ago
8 points please help!!!! I need this in 15 hours!!!
antiseptic1488 [7]

5.  The way I do these problems is setting up the equation as follows:

P1V1/T1 = P2V2/T2

The units of volume and pressure can be substituted as given, since they are in relation to one another, however, the final answer must match the units provided in the question.  Also, temperature must be converted to Kelvins before the equation can be used.

V1 = 50 cm^3

P1 = 825 Hg/mm

T1 = 15C = 288K

P2 = 750 Hg/mm

T2 = 47C = 320K

V2 = ?

Solve:

P1V1/T1 = P2V2/T2

(825)(50)/(288) = (750)V2/(320)

143.23 = 2.34V2

V2 = 61.21 cm^3

6 0
3 years ago
What is the solution to the system of equations?<br><br> y = 1.5x – 4<br><br> y = –x
sasho [114]
I attached a photo of the work. I hope it helps!

5 0
3 years ago
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Which statements are true about the expression y + 9
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1. ✅
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