Three yrs ago Reagan was three times as old as Sarah and half as old as Lauren. Three yrs from now, Reagan will be twice as old as Sarah. How old are they now?

Answers

Answer 1

Answer: Reagan (R)
Sara (S)
Lauren (L)

R-3 (Reagan's age 3 years ago...)
we have 3 equations with 3 variables:

R-3 = 3 * (S-3) -> R -3 = 3S - 9 -> R = 3S -6
R-3 = (L-3) / 2 -> 2R -6 = L - 3 -> L = 2R -3
R+3 = 2 * (S+3) -> R +3 = 2S + 6 -> R = 2S +3

3S - 6 = 2S + 3 -> S = 9
R = 2 * 9 +3 = 21
L = 2 * 21 -3 = 39

Reagan is 21
Sara is 9
Lauren is 39

3 years ago - Reagan was 18 - 3 X Sara who was 6
3 years from now - Reagan will be 24 - 2 X Sara who will be 12

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Find the slope of 3x-4y-7=0

Answers

$3x-4y-7=0 \n 3x-7=4y \n 3/4x-7/4=y \n$

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Let f(x) = x2 - 8x 5. Find f(-1).

Answers

Answer:

f(-1)=14

Step-by-step explanation:

Given : Function - $f(x)=x^2-8x+5$

To find : The value of f(-1)

Solution : Follow the steps :

Step 1- Write the function

$f(x)=x^2-8x+5$

Step 2- Put x=-1 to find the value of f(-1)

$f(-1)=(-1)^2-8(-1)+5$

Step 3- Solve the above equation

$f(-1)=1+8+5$

$f(-1)=14$

Therefore, f(-1)=14

in the equation you have to replace all x's with -1

f (-1) = (-1)^2 - 8(-1) +5
f (-1) = 1 + 8 + 5
f (-1) = 14

the f(-1) stand for the function of -1. it is also equivalent to y

A theater technician charges a $200 flat fee and 5% of all profits from ticket sales per show. If the technician made $400.00 on a show, how much total profit was there from ticket sales?

Answers

. A theater technician charges a $200 flat fee and 5% of all profits from ticket sales per show. If the technician made $400.00 on a showQuestion: how much total profit was there from ticket sales?=> 200 dollars = the flat charge rate of the theater technician=> 400 000 dollars = the theater's profit from the ticket sale=> 5% the percentage a technician is askingSolutions=> 5% = 5% / 100% = 0.05=> 400 000 dollars * 0.05 = 20 000 dollars.Let's total=> 200 + 20 000 = 20 200 dollars.

A man spent exactly $2.50 on 3¢, 6¢, and 10¢ stamps. If he bought ten 3¢ stamps andtwice as many 6¢ stamps as 10¢ stamps, how many 10¢ stamps did he buy?

Answers

You have 2.50.
3 times 10 is 30, so now you have
2.20.
he bought twice as many six cent stamps as ten cent stamps.
multiples of six that are applicable are 30, 60, 90, 120.
six goes into 30 five times. Five can't be divided in half.
six goes into 60 ten times. ten divided in half is five. fifty plus sixty, is only 110.
six goes into ninety 15 times. fifteen can not be divided in half.
six goes into 120 twenty times. 20 divided in half is ten. ten times ten is 100.
100 + 120 = 220.
He bought 10 10cent stamps

1stamp i believe. Due to .03•10=.30 and 2.50-.30=2.20 so i divided By .6 and got 3.67 so just find where .10 fits. I know im no help

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D. the perpendicular from the line to the point.