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3 years ago

the larger of two numbers is 12 more than the smaller number.if the sum of the two numbers is 74,find the two numbers

1 answer:

8 0

X = larger number, y = smaller number

x = y + 12
x + y = 74

y + 12 + y = 74
2y + 12 = 74
2y = 74 - 12
2y = 62
y = 62/2
y = 31

x = y + 12
x = 31 + 12
x = 43

so ur 2 numbers are : 43 and 31

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5 1/2 +1 3/10x=13 what does x equal

Advocard [28]

Answer:

$x=5\frac{10}{13}$

Explanation:

Given the equation

$5\frac{1}{2}+1\frac{3}{10}x=13$

Step 1: Change all the mixed fraction to improper fractions

$\implies\frac{11}{2}+\frac{13x}{10}=13$

Step 2: Find the lowest common multiple of the denominators (2 and 10)

The lowest common multiple = 10

Step 3: Multiply all through by 10.

$\begin{gathered} \implies\frac{11}{2}\times10+\frac{13x\times10}{10}=13\times10 \\ =55+13x=130 \end{gathered}$

Step 4: Apply the subtraction law of equality. (Subtract 55)

$\begin{gathered} 55-55+13x=130-55 \\ 13x=75 \end{gathered}$

Step 5: Apply the division law of equality. (Divide by 13)

$\begin{gathered} \frac{13x}{13}=\frac{75}{13} \\ x=5\frac{10}{13} \end{gathered}$

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11 months ago

A ball has a volume of 6.2 cubic inches. Find the radius of the ball. (Round your answer to two decimal places.)

Sergeeva-Olga [200]

Hope this helps!

https://www.omnicalculator.com/math/radius-of-sphere

4 0

3 years ago

Read 2 more answers

Find the value of each variable.

sineoko [7]

Answer:

19. x = 65

20. x = 12

21. x = 35, y = 85

Step-by-step explanation:

19. 2x -10 = 120

2x (-10 + 10) = (120 +10)

2x/2 = 130/2

x = 65

20. 2x + 4x + 108 = 180

6x + (108 - 108) = (180 - 108)

6x/6 = 72/6

x = 12

21. 2x + 25 = 3x - 10

2x + (25 - 25) = 3x (- 10 - 25)

(2x - 3x) = (3x - 3x) - 35

-x/-1 = -35/-1

x = 35

3x - 10 + y = 180

3(35) - 10 + y = 180

105 - 10 + y = 180

(95 - 95) + y = (180 - 95)

y = 85

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3 years ago

What is KN + IK?<br> !it’s not 1!

sergiy2304 [10]

The answer is 6, K-N is 4, and I-K is 2, and as we all know, 4+2=6

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2 years ago

Find the volume of the garden shed

Leno4ka [110]

Answer:

47.3 m³

Step-by-step explanation:

The garden shed is made up of a rectangular prism and a pyramid.

<h3><u>Volume of a rectangular prism</u></h3>

$\begin{aligned}\textsf{Volume of a rectangular prism}&=\sf width \times length \times height\\&=4 \times 4 \times 2\\&=16 \times 2\\&=32\;\; \sf m^3\end{aligned}$

<h3><u>Volume of a pyramid</u></h3>

<u />

From inspection of the given diagram, the slant height of the pyramid is 3.5 m.

Calculate the perpendicular height of the pyramid using Pythagoras Theorem:

$\begin{aligned}\implies a^2+b^2&=c^2\\2^2+h^2&=3.5^2\\h^2&=8.25\\h&=\sqrt{8.25}\;\; \sf m\end{aligned}$

Therefore:

$\begin{aligned}\textsf{Volume of a pyramid}&=\dfrac{\sf length \times width \times height}{3}\\\\&=\dfrac{\sf 4 \times 4 \times \sqrt{8.25}}{3}\\\\& = 15.31883372\;\; \sf m^3\end{aligned}$

<h3><u>Volume of the garden shed</u></h3>

$\begin{aligned}\implies \textsf{Volume of shed}&=\textsf{Volume of rectangular prism}+\textsf{Volume of pyramid}\\&=32+15.31883372\\& = 47.3\;\; \sf m^3\;(nearest\;tenth)\end{aligned}$

6 0

1 year ago

Read 2 more answers