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dimaraw [331]
3 years ago
13

Alex is 4 years younger than 2 times his sister's age. Write a rule that represents Alex's age x as a function of his sister's a

ge y. How old is Alex, if his sister is 11?
Mathematics
2 answers:
sesenic [268]3 years ago
7 0

Answer:

alex is 18 sis is 11

Step-by-step explanation:

Vesna [10]3 years ago
6 0

Answer:

y = 2x - 4; Alex is 18.

Step-by-step explanation:

Since Alex is 4 years younger than 2 times his sister's age, and his sister is y and Alex is x, the function of y to x must be y = 2x - 4.

According to the rule, if Alex's sister is 11, Alex is 2 times that minus four. If you calculate that, you get

11 * 2 = 22

22 - 4 = 18

So Alex is 18 if his sister is 11.

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The surface area of the cone is 43.75π cm2. What is the slant height of the cone? with a radius o 5 cm
yKpoI14uk [10]
The surface area of the cone is calculated through the equation, 
                    A = πr² + πrl
where r is the radius and l is the slant height. Substituting the known values to the equation,
              43.75π = π(5 cm)² + π(5 cm)(l)
l is 3.75 cm. Thus, the slant height of the cone is 3.75 cm. 
3 0
3 years ago
What process do you use to find the percent change of a quantity?
Sever21 [200]
<span><u><em>First, we need to get the amount of change:</em></u>
The amount of change can either be an increase or a decrease.
It can be calculated as follows:
amount of change = </span>\frac{"new"value - "old"value}{"old" value}
<span>
If the amount of change is positive, then it is an increase
If the amount of change is negative, then it is a decrease

<u><em>Then, we need to convert this amount into a percentage:</em></u>
Changing the amount into a percentage can simply be done by multiplying this amount by 100
This means that:
% of change = amount of change * 100

<u><em>Combining the two steps:</em></u>
% of change = </span>\frac{"new"value - "old"value}{"old" value}<span> * 100

<u>Examples:</u>
The original price of a certain product was $10. It then became $12. Find the % of increase.
% of change = </span>\frac{12-10}{10} * 100<span> = 20%
This means that the price increased by 20%

The temperature decreased from 25 degrees to 20 degrees. Find the percentage of decrease.
% of decrease = </span>\frac{20-25}{25} * 100<span> = -20%
This means that the temperature decreased by 20%

Hope this helps :)</span>
7 0
3 years ago
Read 2 more answers
I WANT SOLUTION AND EXPLANATION ANSWER IS GIVEN AT LAST!!!
Serga [27]

let the numbers be x and y

x + y = 1600 ----*

12%x = 20%y

0.12x = 0.2y

y = <u>0</u><u>.</u><u>1</u><u>2</u><u>x</u>

0.2

y = 0.6x

substitute in * eqn

x + 0.6x = 1600

1.6x = 1600

x = 1000

then,

y = 0.6*1000

y = 600

the numbers are 1000 and 600

6 0
2 years ago
Read 2 more answers
You deposit $200 each month into an account earning 3% interest compounded monthly.
zvonat [6]

The total amount of money accrued ( principal and interest ) in 35 years is $570.78.

<h3>What is the total amount accrued?</h3>

The formula for compound interest is expressed as;

A = P( 1 + r/t )^(n×t)

Given the data in the question;

  • Principal P = $200
  • Rate r = 3% = 3/100 = 0.03
  • Compounded monthly n = 12
  • Time t = 35
  • Amount accrued in 35 years A = ?

Plug the given values into the equation above.

A = P( 1 + r/n )^(n×t)

A = 200( 1 + 0.03/12 )^(12×35)

A = 200( 1 + 0.0025 )^(420)

A = 200( 1.0025 )^(420)

A = 200( 2.85390914 )

A = $570.78

Therefore, the total amount of money accrued ( principal and interest ) in 35 years is $570.78.

Learn more about compound interest here: brainly.com/question/27128740

#SPJ1

7 0
1 year ago
What is the answer to this question ?
Arisa [49]

Answer:

4

Step-by-step explanation:

h(7)= 7²-1= 49-1= 48

f(h(7))= 48/3 -12

= 16-12

= 4

7 0
3 years ago
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