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Katen [24]
3 years ago
15

When two of the three numbers are added at a time, the possible sums are 32, 39, 23. What is the sum of all three numbers?

Mathematics
1 answer:
arsen [322]3 years ago
4 0

Answer:

47

Step-by-step explanation:

Let a, b, and c be those three numbers.

When two of the three numbers are added at a time, the possible sums are 32, 39, 23. Let

a+b=32\\ \\a+c=39\\ \\b+c=23

Add these three equations:

a+b+a+c+b+c=32+39+23\\ \\2a+2b+2c=94

Divide this equation by 2:

a+b+c=47

The sum of all three numbers is 47.

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Paul needs to buy paint to cover all outside surfaces of his shed, depicted below. How much area, in square yards, does he need
Alekssandra [29.7K]

Answer:

Area = 145.7 Square yards

Step-by-step explanation:

Since there is no picture attached to depict the house and its dimension, I am taking values of a similar problem.

<em><u>Dimensions of Shed</u></em>

2 walls with dimensions of 15 ½ ft. by 12 ft.

2 walls with dimensions of 25 ¼ ft. by 12 ft.

Ceiling with dimensions of 15 ½ ft. by 25 ¼ ft.

2 windows that are each 2 ft. by 4½ ft. as well as an 8-ft. by 5-ft. door

<u>Solution</u>

We need to find the total wall area and ceiling area which when combined will give us the total area shed's outer surface that needs to be painted.

For total area of the wall, we need to first find the sum of area for each wall and subtract area of windows and door

Wall Area = Area of 1st two walls+Area of other two walls-Area of 2 windows-Area of door=[15.5(12)(2)] + (25.25) (12) (2) - (2)(2) (4.5) -(8)(5)

Wall Area = 371 + 606 - 17 - 40

Wall Area = 920 square ft = 102.2 square yards

Ceiling Area is just the area of the ceiling

Ceiling Area = (15.5) (25.25 )

Ceiling Area = 391.375 square ft= 43.486 square yard

<u>Total Area = Wall Area+Ceiling Area </u>=102.2+43.486=145.7 Square yards

Which is the area paul needs to cover with paint.

<em>Note: Converted Square foot to square yard as the problem requires that.</em>

8 0
3 years ago
Marys family had to pay 3$ for the car plus 2$ for each number of people in the car.
Gala2k [10]

Answer:

y=2x+3

Step-by-step explanation:

Y is the total amount that the family pays. 2x represents 2 dollars for every person (so, 2 multiplied by the number of people). Finally, 3 represents the initial amount that they must pay, no matter how many are in the car.

8 0
2 years ago
Read 2 more answers
Given h(x)=-x+2, find h(2)
Bingel [31]

Answer:

0

Step-by-step explanation:

Replace x with 2.

-(2)+2=0

6 0
2 years ago
Read 2 more answers
A man cut his 2 fingers and add 4 hands with 7 fingers. And he also chop his leg 3 times everyday till January to December. How
Olenka [21]

Answer:   30

Step-by-step explanation:

10 is the started fingers of the hands

2 is fingers, 4 are the hands, 7 the fingers of the hands

2 + (4 · 7) = 30

-3 is the legs per day, and 365 are the days per year

-3 · 365 = -1095

this is a bizarre question

4 0
3 years ago
Can y’all help me on question 13?!
Doss [256]

Answer:

90 cm²

Step-by-step explanation:

The shape can be divided in three rectangles.

Area = area of rectangle 1 + area of rectangle 2 + area of rectangle 3

✔️Area of rectangle 1 = L*W

L = 5 cm

W = 3 cm

Area = 5*3 = 15 cm²

✔️Area of rectangle 2 = L*W

L = 6 + 5 + 1 = 12 cm

W = 5 cm

Area = 12*5 = 60 cm²

✔️Area of rectangle 3 = L*W

L = 5 cm

W = 3 cm

Area = 5*3 = 15 cm²

✅Area of the shape = 15 + 60 + 15 = 90 cm²

4 0
2 years ago
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