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Serhud [2]
4 years ago
14

Twice a number is increased by one-third the same number. The result is 42. Find the number

Mathematics
1 answer:
Sonja [21]4 years ago
5 0
X - the unknown number.

2x +  \frac{1}{3} *x = 42 \\  \frac{6}{3} *x +  \frac{1}{3} *x = 42 \\  \frac{7}{3} *x = 42 \\ x = 42 :  \frac{7}{3} \\ x = 42 *  \frac{3}{7} \\ x =  \frac{126}{7} \\ x= 18

x = 18. 
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Juliette [100K]
50,000
because if it was 55,000 it would be rounded up to 60,000, if it has 5 or more it's rounded up and if it has 4 or less it gets rounded down
4 0
4 years ago
Trousers are sold at $40. During a clearance sale, the trousers are sold for $30. What is the markdown rate?
Tema [17]

Answer:

25%

Step-by-step explanation:

40-30=10

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5 0
3 years ago
Find the midpoint of the segment with the given endpoints.<br> (-10,- 6) and (-3,7)
Marina CMI [18]

Step-by-step explanation:

in essence, these 2 points are the Hypotenuse of a right-angled triangle. the legs are the coordinate differences between the 2 points creating the 3rd point of that triangle at (-10, 7) : the x coordinate of one point, and the y coordinate of the other.

now, we are looking for the midpoint. this midpoint cuts the original line/hypotenuse in half creating a scaling factor of 1/2.

when we create now a similar triangle based on that "half- Hypotenuse", we need to use the same scaling factor also on the legs (the coordinate differences).

so, when we cut the coordinate differences also in half, we get the coordinates for the midpoint on the main line.

xm, ym are the coordinates of the midpoint.

xm = (x1 + x2)/2 = (-10-3)/2 = -13/2 = -6.5

ym = (y1 + y2)/2 = (-6+7)/2 = 1/2 = 0.5

so, the midpoint is (-6.5, 0.5)

8 0
2 years ago
Calculate the total surface area of the give cuboid​
notsponge [240]
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3 0
3 years ago
Read 2 more answers
Find two consecutive odd integers such that seven times the first equals five times the second.
fredd [130]

Answer:

Odd integers are always one more that an even integer:

1st: 2n+1

2nd: 2n+3

Step-by-step explanation:

14n+7 = 10n+15

4n = 8

n = 2

------------

1st: 2n+1 = 5

2nd: 2n+3 = 7

7x=5*(x+2)

7x=5x+10

7x-5x=10

2x=10

x=5

8 0
3 years ago
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