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3 years ago

The sum of the reciprocal of a number and 3/5 is 7/10 find the number

Mathematics

1 answer:

atroni [7]3 years ago

7 0

The number is 10

Step-by-step explanation:

Let x be the number then the reciprocal will be 1/x

according to given statement

The sum of the reciprocal of a number and 3/5 is 7/10

$\frac{1}{x}+\frac{3}{5} = \frac{7}{10}\\Taking\ LCM\\\frac{5+3x}{5x} = \frac{7}{10}\\Cross-multiplying\\10(5+3x) = 7(5x)\\50+30x=35x\\Subtracting\ 30x\ from\ both\ sides\\50+30x-30x=35x-30x\\50=5x\\Dividing\ both\ sides\ by\ 5\\\frac{5x}{5} = \frac{50}{5}\\x=10$

The number is 10

Keywords: Linear Equations

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What is the solution to 15 = d - 1 ?

Fofino [41]

Answer:

d = 16

Step-by-step explanation:

15 = d-1

Add 1 to each side

15 +1 =d-1+1

16 =d

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3 years ago

A) Write 600 as the product of prime factors.<br> Give your answer in index form.

dlinn [17]

Answer:

3 × 5 × 5 × 2 × 2 × 2

Step-by-step explanation:

Make a factor tree.

But let me explain the above to prove it's correct.

3 × 5 = 15

15 × 5 = 75

75 × 2 = 150

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Therefore 600 as a product of prime factors is: <u>3 × 5 × 5 × 2 × 2 × 2</u>

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3 years ago

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Mekhanik [1.2K]

In a right rectangle, we have:

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For your exercice, hypotenuse=12

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1 year ago

-73 greater than or equal to 15 + 11x

Alecsey [184]

-73 ≥ 15 + 11x
so the first thing you should do is to add -15 on both sides of the equation so you will have:
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have a nice day

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3 years ago

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Find the volume of the cylinder if the height is 3 mm and the diameter is 40 mm. Leave the answer in terms of it.

KiRa [710]

The Volume of cylinder is 3770 cubic millimeters

But, the correct option is not available in options given.

Step-by-step explanation:

Height of cylinder = 3mm

Diameter of cylinder = 40mm

Volume of cylinder = ?

The formula used to find Volume of cylinder is:

$Volume = \pi r^2h$

Putting values in the formula:

Since we need radius,

radius = diameter/2

radius = 40/2

radius = 20 mm

So,

$Volume = \pi r^2h\\Volume = 3.14*(20)^2*3\\Volume = 3.14*400*3\\Volume= 3769.91 or \,\,\,Volume\approx 3770\,\,cubic\,\,millimeters$

The Volume of cylinder is 3770 cubic millimeters

But, the correct option is not available in options given.

Keywords: Volume of cylinder

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3 years ago