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3 years ago

The sum of three numbers is 72. One number is two times 10 and another number is three times 10. What is the third number?

Mathematics

2 answers:

noname [10]3 years ago

8 0

The third number is 20

dusya [7]3 years ago

8 0

The third number is 22
Explanation: If you multiply 10 by 2 you get 20 and if you multiply 10 by 3 you get 30. Add those together and you get 50. Then you subtract 50 from 72 and you would get 22... I hoped this helped!

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The diagram shows a trapezium. Work out the value of x.<br>need urgently

timama [110]

Answer:

Step-by-step explanation:

The sum of the adjacent side of the trapezium is 180 degrees, Hence;

97 - 3x + 69+5x = 180

166 + 2x = 180

2x = 180 - 166

2x = 14

x = 14/2

x = 7

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3 years ago

Rove the sum of two rational numbers is rational where a, b, c, and d are integers and b and d cannot be zero.

liubo4ka [24]

Answer:

$\frac{ad+bc}{bd}$

Step-by-step explanation:

$Greetings!$

$I'm~Isabelle~Williams~and~I~will~be~answering~your~question!$

$Let,\frac{a}{b} ~and ~\frac{c}{d}~be~two~rational~numbers, ~where~ b ~and~ d ~are~ not~ zero ~and~ a, ~b, ~c ~and \\~d ~are~ integers.$

$1.~Given:$

$\frac{a}{b} +\frac{c}{d}$

$2.~Now,~we~multiply~to~get~a~common~denominator:$

$\frac{a}{b}+\frac{c}{d}=\frac{ad}{bd}+\frac{cb}{db}$

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$\frac{a}{b}+\frac{c}{d}=\frac{ad}{bd}+\frac{cb}{db}=\frac{ad+bc}{bd}$

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$\frac{ad+bc}{bd}$

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8 0

3 years ago

Read 2 more answers

What is the measure of m

Ede4ka [16]

117 degrees

The angles in a trapezoid add up to 360 degrees. 63 x 2 = 126

360 - 126 = 234

234/2 = 117

5 0

3 years ago

What is the interquartile range of the data set?

pychu [463]

The interquartile range of the data set is 30.

8 0

3 years ago

The formula for finding the perimeter of a rectangle is P = 2L + 2W. If a rectangle has a perimeter of 68 inches and the length

Artemon [7]

Answer:

Width = 10 inches

Step-by-step explanation:

Given the perimeter of a rectangle of 68 inches, and a length that is 14 inches longer than its width.

We can establish the following values to help us solve for the width of a rectangle:

Perimeter (P) = 68 inches

Length (L) = 14 + W inches

Width (W) = unknown

<h3 /><h3><u>Solve for the Width (W)</u></h3>

P = 2(L + W) ⇒ This is the same as P = 2L + 2W, except that 2 is factored out from the right-hand side.

Divide both sides by 2:

$\displaystyle\mathsf{\frac{P}{2}\:=\:\frac{2(L\:+\:W)}{2}}$

$\displaystyle\mathsf{\frac{P}{2}\:=L\:+\:W}$

Substitute the value of the Perimeter and the length (L) into the formula:

$\displaystyle\mathsf{\frac{68}{2}\:=14\:+W\:+\:W}$

Combine like terms on the right-hand side, and simplify the left-hand side of the equation:

$\displaystyle\mathsf{34\:=14\:+2W}$

Subtract 14 from both sides:

34 - 14 = 14 - 14 + 2W

20 = 2W

Divide both sides by 2 to solve for the width (W):

$\displaystyle\mathsf{\frac{20}{2}\:=\:\frac{2W}{2}}$

W = 10 inches

Therefore, the width of the rectangle is 10 inches.

<h3 /><h3><u>Double-check:</u></h3>

Verify whether the derived value for the width is correct:

P = 2L + 2W

68 = 2(14 + 10) + 2(10)

68 = 2(34) + 20

68 = 48 + 20

68 = 68 (True statement).

Thus, the length of the rectangle is 34 inches, and the width is 10 inches.

4 0

3 years ago