All categories

3 years ago

When 31 times a number is increased by 40, the answer is the same as when 200 is decreased by the number. Find the number.

Mathematics

1 answer:

natulia [17]3 years ago

5 0

Answer:

The Answer is: 5.

Step-by-step explanation:

Let n = number.

The number times 31 plus 40 is equal to 200 minus the number:

31n + 40 = 200 - n

32n = 200 - 40

32n = 160

n = 5

Proof:

31(5) + 40 = 200 - 5

155 + 40 = 195

195 = 195

Hope this helps! Have an Awesome Day!! :-)

You might be interested in

Find the measure of the central angle of a sector if its area is 5 pi and the radius is 6

lesantik [10]

For this case we use the following formula
Area of Sector = Area * radians of sector / 2 * pi radians
Where,
Area: it is the area of the complete circle.
We have then:
Area = pi * r ^ 2
Area = pi * (6) ^ 2
Area = 36pi
Substituting values:
5pi = 36pi * radians of sector / 2 * pi
Clearing:
radians of sector = ((5pi) * (2pi)) / (36pi)
radians of sector = (10pi ^ 2) / (36pi)
radians of sector = (10pi) / (36)
radians of sector = (10/36) pi
radians of sector = (5/18) pi
in degrees:
(5/18) pi * (180 / pi) = 50 degrees
Answer:
The measure of the central angle is:
50 degrees

3 0

3 years ago

If a polygon is a square, then it is also a rectangle. True or False

Art [367]

Answer:

true

Step-by-step explanation:

a square will always be a rectangle but a rectangle will not always be a square.

7 0

4 years ago

Read 2 more answers

5/8 of the staff are male 5/12 of the staff works part time at the aquarium what is the fraction of the staff being female

Goryan [66]

I believe the answer is 3/8. The whole portion of employees, which is translated as 8/8 is deducted by 5/8, which is the population of male employees.

7 0

3 years ago

Read 2 more answers

The area of the rectangle shown is 54 square units. What is its perimeter

Ipatiy [6.2K]

Answer:

perimeter of a square= 4 times square root of area

$4 \sqrt{54} = 29.39$

6 0

4 years ago

The length of time, y hours, it takes to put a jigsaw puzzle together is inversely proportional to the number of children, x, wo

andrew11 [14]

Answer:

24 children

Step-by-step explanation:

If the length of time, y hours, it takes to put a jigsaw puzzle together is inversely proportional to the number of children, x, this is represented as;

$y \alpha \frac{1}{x}\\y =\frac{k}{x}$

k is the constant of proportionality

If it takes 16 children 6 hours to put the jigsaw puzzle together, this means at x = 16, y = 6

Substitute:

6 = k/16

k = 6*16

k = 96

W are to find number of children needed to put the same jigsaw puzzle together in 4 hours, this is done by substituting k = 96 and y = 4 into the expression y = k/x

y = 96/4

y = 24

Hence it will take 24 children to put the same jigsaw puzzle together in 4 hours

5 0

3 years ago