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3 years ago

The sum of three consecutive even numbers is one hundred sixty - two.

Mathematics

1 answer:

Alenkasestr [34]3 years ago

5 0

Answer:

Step-by-step explanation:

Let x represent the smallest of the three numbers. Then the other two are (x+2) and (x+4). Their sum is ...

x + (x+2) +(x+4) = 162

3x = 156 . . . . . . . . . . . .subtract 6

x = 156/3 = 52

The smallest of the three numbers is 52.

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I like to work problems like this by considering the average number. Here, the average of the three numbers is 162/3 = 54, the middle number of the three. Then the smallest of the three consecutive even numbers is 2 less, or 52.

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2 years ago

Coach glasses cost $60 to manufacture at the factory. The retail price has a markup of 25%. What is the selling price of the gla

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3 years ago

A small fruit basket with 6 apples and 6 oranges costs $7.50. A different fruit basket with 10 apples and 5 oranges costs $8.75.

Andreas93 [3]

Answer:

x = $0.50

y= $0.75

Step-by-step explanation:

1. Multiply the equations to have the same coefficients

5(6x + 6y = 7.5) → 30x + 30y = 37.5

3(10x + 5y = 8.75) → 30x + 15y = 26.25

2. Subtract the equations

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15y = 11.25

3. Solve for y by dividing both sides by 15

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4. Plug in 0.75 for y into one of the equations

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5. Simplify

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8 0

3 years ago

1) Find the lump that must be deposited today to have a future value of $ 25,000 in 5 years if funds earn 6 % componded annually

Hoochie [10]

Answer: $ 18681.45

Step-by-step explanation:

Given: Future value : $FV=\$25,000$

The rate of interest : $r=0.06$

The number of time period : $t=5$

The formula to calculate the future value is given by :-

$\text{Future value}=P(1+i)^n$ , where P is the initial amount deposited.

$\Rightarrow\ 25000=P(1+0.06)^5\\\\\Rightarrow\ P=\dfrac{25000}{(1.06)^5}\\\\\Rightarrow\ P=18681.4543217\approx=18681.45$

Hence, the lump that must be deposit today : $ 18681.45

4 0

3 years ago