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vovikov84 [41]
3 years ago
11

Rob is twice Joshua's age. Nick is 5 years older than Joshua. The sum of all their ages is 45. How old is Nick?

Mathematics
1 answer:
MatroZZZ [7]3 years ago
6 0

Given

Rob is twice Joshua's age

Nick is 5 years older than Joshua.

sum of all their ages is 45.

Find the age of nick.

To proof

As given

Rob is twice Joshua's age

let  Joshua's age = x

than Rob age = 2x

Nick is 5 years older than Joshua.

Nick age = 5 + x

sum of all their ages is 45

than the equation becomes

Joshua's age + Rob age + Nick age = 45

put the value

x + 2x + 5 + x = 45

4x = 40

x = 10

Joshua's age = 10 year

than Rob age = 20 year

Nick age = 5 + 10

                = 15year

Hence proved


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the answer: 7 flats of flowers

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3 years ago
If a theater holds 1800 and sells 1/3 of its seats how many tickets does it sell
kozerog [31]

Hey!


A theater holds 1,800 seats. It sells 1/3 of it. That means you have to find 1/3 of 1,800


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7 0
4 years ago
The following problem describes procedures that are to be applied to numbers. Repeat the procedure for four numbers of your choi
mart [117]

Answer:

Conjecture: For every number x, the result of the is 2x

Step-by-step explanation:

First Number: 8

Multiply by 88: 88 * 8 = 704

Add 88: 704 + 88 = 792

Divide by 44: 792/44 = 18

Subtract 2: 18 - 2 = 16

Second: 10

Multiply by 88: 88 * 10 = 880

Add 88: 880+88=968

Divide by 44: 968/44=22

Subtract 2: 22-2=20

Third: 5

Multiply by 88: 88*5 = 440

Add 88: 440+88=528

Divide by 44: 528/44=12

Subtract 2: 12-2=10

Fourth: 2

Multiply by 88: 88*2=176

Add 88: 176+88=264

Divide by 44: 264/44=6

Subtract 2: 6-2=4

On a general terms:

Let the number be x.

Multiply by 88: 88x

Add 88: 88x + 88

Divide by 44: \frac{88x + 88}{44} = \frac{88x}{44} + \frac{88}{44} = 2x+2

Subtract 2: 2x + 2 - 2 = 2x

Notice that for every input x, the result is 2x

8 0
3 years ago
A spring exerts a force of 6 N when stretched 3 m beyond its natural length. How much work is required to stretch the spring 2 m
lys-0071 [83]

Answer:

4Joules

Step-by-step explanation:

According to Hooke's law which states that extension of an elastic material is directly proportional to the applied force provide that the elastic limit is not exceeded. Mathematically,

F = ke where

F is the applied force

K is the elastic constant

e is the extension

If a spring exerts a force of 6 N when stretched 3 m beyond its natural length, its elastic constant 'k'

can be gotten using k = f/e where

F = 6N, e = 3m

K = 6N/3m

K = 2N/m

Work done on an elastic string is calculated using 1/2ke².

If the spring is stretched 2 m beyond its natural length, the work done on the spring will be;

1/2× 2× (2)²

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3 0
3 years ago
3/24 =33/x. Use equivalent ratios to find the unknown value
Tasya [4]
X/the answer is 264
because 33 times 24 is 792 and divide that by 3 is 264
hope this helps :)
7 0
4 years ago
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