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klasskru [66]
3 years ago
15

Mrs. Kelly's brother is 15 year younger than her. Their combined ages add up to 62 years. What is Mrs. Kelly's age

Mathematics
1 answer:
AlekseyPX3 years ago
3 0

Answer:

38.5 years old

Step-by-step explanation:

Let us represent Mrs.Kelly's age with the parameter (k). It is given that her brother is (15) years younger than her, thus his age is (k - 15). It is given that the sum of their ages is (62). Therefore one can form an equation with the given information and solve for the unknown.

(Mrs.Kelly's age) + (Brother) = (62)

Substitute,

(k) + (k - 15) = 62

Simplify,

k + k - 15 = 62

2k - 15 = 62

Inverse operations,

2k - 15 = 62

2k = 77

k = 38.5

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8% of a number is 20
Gnoma [55]
To find what the number is, we need to set up proportional fractions.
Currently, we have 8% of a number is 20.
To set up our fractions, put 100% under 8% as a fraction first.

It should look like this: 8/100 (hint: per-cent means per-hundred).

Now, we have 20 out of a number, x. This is because we are claiming that 20 is 8% of a number (if we just reword the question without changing the concept).
It should look like this: 20/x.

Our proportional fractions are:
20/x = 8/100.

To solve for this, we need to cross-multiply the denominator of 8/100 (bottom number, 100) with the numerator of 20/x (top number, 20).

This product equation should look like this:
20 x 100 (when simplified, we get 2000).

Now, we need to cross multiply the numerator of 8/100 (top number, 8) with the denominator of 20/x (bottom number, x).

This product equation should look like this:
8x.

Now that we've cross-multiplied, set our two products as an equation.

8x = 2000.

To solve for x, divide both sides by 8 (remember, what you do to one side of an equation, you must do it to the other).

8x / 8 = x
2000 / 8 = 250.

x = 250

Your final answer is:

8% of 250 is 20.

I hope this helps!
3 0
3 years ago
Read 2 more answers
Kari is saving money to buy a car. To purchase the car that she wants she will need to have at least a $5000 down payment. If Ka
ad-work [718]

Answer:

C )   She needs to save AT LEAST  20 months

Step-by-step explanation:

Half of her income each month  is $250

m= months

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6 0
2 years ago
Find the maximum profit and the number of units that must be produced and sold in order to yield the maximum profit. Assume that
V125BC [204]

Answer:

-1.39

Step-by-step explanation:

Revenue and cost as a function of units sold are u(x) = 9x-2x^{2}andc(x)=x^{3}-3x^{2}+4x+1  respectively.

we are have to know for which value or input units are these functions at maximum which translates to for how many units is the revenue maximum and for how many same units is our cost minimum.

5 0
4 years ago
10 out of every 65 students order pizza for lunch. There are 416 students at her school. How many students will eat pizza at her
Studentka2010 [4]

Answer:

64

Step-by-step explanation:

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3 0
3 years ago
Please help ASAP!!!??
Mazyrski [523]

Answer:

\{-2,-1,1,2,4\}

Step-by-step explanation:

Given

The attached graph

Required

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First, we list out the coordinate of each point on the graph:

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\{(-4,-1),(-3,-2),(-2,2),(1,1),(2,4)\}

A function has the form: (x,y)

Where

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From the coordinate points above,

y = \{-1,-2,2,1,4\}

Order from least to greatest"

y = \{-2,-1,1,2,4\}

Hence, the range are: \{-2,-1,1,2,4\}

4 0
3 years ago
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