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11111nata11111 [884]
3 years ago
13

One number is 2 less than two thirds the other. their sum is 103. find the two numbers

Mathematics
1 answer:
anastassius [24]3 years ago
6 0
One of the numbers is 40 and the other one is 63
confirmation:
63×(2/3)-2=40
and 40+63=103

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a rectangular sheet is 62cm long and 42cm wide from each of its corners a square of side 6cm is cut out and an open box is made
Alla [95]

Answer:

The volume of rectangular box is 9,000 cubic centimeters

Step-by-step explanation:

Given as :

The length of the rectangular sheet = L = 62 cm

The width of the rectangular sheet = B = 42 cm

Let The volume of rectangular box = v cubic centimeters

From each corner of sheet a square of 6 cm is cut out and an open box made

So, The length of box = L' = (L - 6 - 6)

i.e L' = (62 - 6 - 6)

Or, L' = 50 cm

Or, Length of the box = 50 cm

And The width of the box = B' = (B - 6 - 6)

i.e B' = (42 - 6 - 6)

Or, B' = 30 cm

Or width of the box = 30 cm

And,

The height of the box = H = 6 cm

∴ volume of rectangular box = Length of box × Breadth of box × Height of  box

i.e v = L' × B' × H

Or, v = 50 cm × 30 cm × 6 cm

Or, v = 9,000 cm³

So, The volume of rectangular box = v = 9,000 cm³

Hence, The volume of rectangular box is 9,000 cubic centimeters Answer

4 0
3 years ago
Drag the phrases into the box to match each expression. 3/4x+1/2 ​ 3/4−1/2x ​ ​ 3/4−(x+1/2) ​ 20 pointss!!! i know i must be cra
fomenos

Answer:

\frac{3}{4}x + \frac{1}{2} = One-half more than three-fourths of a number

\frac{3}{4}-\frac{1}{2}x = Three-fourths minus one-half of a number

\frac{3}{4}-(x+\frac{1}{2}) = three-fourths minus the sum of a number and one-half

Step-by-step explanation:

Suppose x be an unknown number.

∵ 3/4th of a number = \frac{3}{4}x

\frac{3}{4}x + \frac{1}{2} = One-half more than three-fourths of a number

Now, half of a number = \frac{1}{2}x

\frac{3}{4}-\frac{1}{2}x = Three-fourths minus one-half of a number

Sum of a number and one-half = x+\frac{1}{2}

\frac{3}{4}-(x+\frac{1}{2}) = three-fourths minus the sum of a number and one-half

6 0
3 years ago
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ELEN [110]

Answer:

D

Step-by-step explanation:

When calculating the area of a parallelogram, use the formula A = l*h where length is the longest length and h is the perpendicular height of the shape. For this parallelogram, substitute l = 14 and h = 8.

A = l*w = 14*8 = 112

6 0
3 years ago
X + 18 greater than or equals 26
cricket20 [7]

Answer:

x + 18 ≥ 26

Step-by-step explanation:

"greater than or equals": ≥

x + 18 ≥ 26 is your answer.

If you are trying to solve it so you isolate x, subtract 18 from both sides:

x + 18 (-18) ≥ 26 (-18)

x ≥ 26 - 18

x ≥ 8

x ≥ 8 is your answer.

~

5 0
3 years ago
Read 2 more answers
If −1 is a zero of the polynomial p(x)=ax^3−x^2+x+4, find the value of a.
vitfil [10]

Answer:

a = 2

Step-by-step explanation:

given x = - 1 is a zero then f(- 1) = 0 , that is

a(- 1)³ - (- 1)² - 1 + 4 = 0

- a - 1 - 1 + 4 = 0

- a + 2 = 0 ( subtract 2 from both sides )

- a = - 2 ( multiply both sides by - 1 )

a = 2

8 0
2 years ago
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