If you add Natalie's age and Fred's age, the result is 40. If you add Fred's age to 4 timesNatalie's age, the result is 76. Write and solve a system of equations to find how old Fred and Natalie are.

Answers

Answer 1

Answer:

Natalie is 12 years and Fred is 28 years

Step-by-step explanation:

lets assume Natalie's age is X and Fred's age is Y

From the first sentence: X+Y = 40

From the second sentence: Y + 4X = 76

lets rearrange the equations

X+Y =40 ....... equation 1

4X+Y=76........ equation 2

To solve both equations, we will have to look for a way to eliminate one of the unknown to leave us with one unknown. since there are two +Y in both equations, we can subtract both equations to eliminate Y. Please note that whatever you do to one of the unknown in this equations applies to all other numbers & alphabets

So: 1. X - 4X = -3X

2. Y - Y = 0

3. 40 -76 = -36

writing the equation as one will be -3X = -36

X = 12

Put X = 12 into any of the equation

By putting X as 12 into equation 1 : 12 + Y = 40

Y = 40 -12 =28

Recall that Natalie is X and Fred is Y

Therefore Natalie is 12 years and Fred is 28 years

be

To crosscheck put in the gotten answers into the equations

X+Y =40 ....... 12 + 28 = 40

4X+Y=76........ 4(12) + 28 = 76


Related Questions

what is - 2 - (- 11)

Answers

Answer:

9

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

M A T H W A Y

PLEASE HELP IT'S DUE IN 15 MINUTES!! WILL GIVE BRAINLIEST!!!!

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the answer would be 3x+2=10x-5

#11 Find the slope of a line
that passes through the
points (-1, -3) and (-6,5)

Answers

y2-y1/x2-x1
5-(-3)/(-6-(-1))
8/-5
-8/5 is the slope

75 students received a coupon. These students represent 5% of the total students at Seven Lakes JH. How many total students attend Seven Lakes JH?

Answers

1500 students, 5% of 1500 is 75

Michael buys a ball for 5.50 and a flashlight for 3.65. If he has 10.00 how much change we’ll he receive

Answers

Answer:

.85 cents

Step-by-step explanation:

A) 8= d/p

B) p= 8d

C) d=8p

D)=8/p

Answers

Answer:

B) p= 8d

Step-by-step explanation:

Each day she reads that many pages.

When u multiply 8 x the number of days u get that many pages.

Please give me Brainliest

OMG!! U LIKE BTS!!! AND U LIKE KPOP!!!!

HELP ME ASAP PLEASEEEEE

Answers

Step-by-step explanation:

5√36 = 5× 6 = 303√2 + 3×2√2 = 3√2 + 6√2 = 924 - 2√4 = 4 - 2× 2 = 4 - 4 = 0

plz mark my answer as brainlist.

Hope this will be helpful to you .

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Answers

Answer:

these are letters from the English alphabet

hope this helps....

PLEASE HELP! WILL GIVE BRAINLIEST!
"a piece of machinery valued at $175,000 depreciates at 10% per year by the fixed rate method. After 12 years, what is the value of the machinery?"

Answers

Answer:

$49425.1688842

Step-by-step explanation:

Use formula: v=c*(p^t), where v is the price now, c is the cost price, p is the 100-the depreciation percentage and t is the time/years passed)

0.9¹²(175000)

0.28242953648(175000)

49425.1688842

A department store sells a pair of shoes with an 87% markup.
If the store buys the shoes for $19.00, what is the markup price?

Answers

Answer:

35.53

Step-by-step explanation:

19.00x 87%=16.53

16.53+19.00= 35.53

A town has an annual growth rate of 2%. In 1970, the population was 250 people. What was its population in 2020?

Answers

Answer:

In 2020 the population would be 673.

Step-by-step explanation:

Giving the following information:

Current population (PV)= 250

Growth rate (g)= 2% annualy

Number of periods (n)= 2020 - 1970= 50 years

To calculate the number of people in 2020, we need to use the following formula:

FV= PV*(1+g)^n

FV= 250*(1.02^50)

FV= 672.89 = 673

Pls I just want to get good grades.

Answers

4.

x=2y
y=x-2

(Substitute)

x=2(x-2)
x=2x-4
-x=-4
x=4

Plug x=4 into both equations to find y and check

4=2y
2=y

y=4-2
y=2

(4,2)—> Blank 1:4 and Blank 2:2


5.

x=2y-3
x=2y+4

2y-3=2y+4

No solution —> Blank 1: NS and Blank 2: NS

2(a-7)=a+4
15 6
PLS HELPPPPPPPPPPP​

Answers

Answer:

a = 18

Step-by-step explanation:

2(a-7)=a+4

Distribute 2 into left side: 2a -14 = a + 4

subtract a from both sides  2a-a-14 = a+4-a

Simplify: a  - 14 = 4

Add 14 to both sides: a - 14 + 14 = 4 +14

Simplify:   a = 18

If wanted, plug a into original to double check work:

plug in: 2 (18-7) = 18+4

do parenthesis first: 2 (11) = 18+4

do multiplication : 22 = 18+4

additions: 22 =22

a = 18 is correct.

Answer:

A=18

Step-by-step explanation:

2(a-7)=a+4

2a-14=a+4

add 14 to both sides

2a=a+18

subtract a from both sides

a=18

Can somebody help me with this question will mark brainliest.

Answers

Answer: 9/12

Step-by-step explanation:

the anwser is 9/12 i believe

PLS HELP I WILL REALLY APPRECIATE

Answers

Answer:

$2547 per month

Step-by-step explanation:

849 * 3 = 2547

Answer:

2547

Step-by-step explanation:

Hey I really need help with this question please help

Answers

Answer:

let me look

Step-by-step explanation:

what is the y-value when x=1
a. 2
b. 1
c. 3
d. 4​

Answers

The answer would be 3. This is because 2 plus 1 equals 3.
the answer is c which is 3!!

I'll mark brainliest.
Audra makes and sells bracelets. It costs her $8 to make a bracelet, and she markups up the price by 210%. Audra wants to have a sale, so she marks all of her bracelets 20% off the normal selling price. What will be the price of each bracelet during the sale? Audra makes and sells bracelets. It costs her $8 to make a bracelet, and she markups up the price by 210%. Audra wants to have a sale, so she marks all of her bracelets 20% off the normal selling price. What will be the price of each bracelet during the sale?

Answers

Answer:

The final selling price is .$13.44

Hope this helps!!

Step-by-step explanation:

Audra makes 20% off the normal selling price. So The price of each bracelet during the sale is $13.44

answer that pls ty (ノ◕ヮ◕)ノ*:・゚✧

ありがとうと答えてください (ノ◕ヮ◕)ノ*:・゚✧

Answers

Answer:

1= 23

2= 0.5

3= 1.45

4= 0.07

Step-by-step explanation:

(hope this helps can i plz have brainlist :D hehe)

Point T is located at (-2,-2) on the coordinate plane. Point T is reflected over the
y-axis to create point T'. What ordered pair describes the location of T'?

Answers

Answer:

(2,-2)

Step-by-step explanation:

When over the y-axis you change the x axis to the opposite of either neg. or positive

which is an incorrect rounding for 53.864
53.87,54,53.9,50

Answers

Answer:

53.87

Step-by-step explanation:

Answer:

D. 50

Step-by-step explanation:

All of the other ones are correct.

rounded to the nearest 100th place, it's: 53.87

rounded to the nearest 10th place its: 53.9

rounded to the nearest whole number its: 54

Brainliest pls. really need it

hope you have a nice day

help pls asap i’ll mark as brainliest if correct :)

Answers

Answer:

100 chocolate bars

Step-by-step explanation:

30 ÷ 3 = 10 so you need to times 10 by 10?

hope that helps!

1 box is 10 chocolates so while the top half of the chart increases by one the bottom half increases by ten, there are 100 chocolates in 10 boxes

Choose the polynomial that is written in standard form.

a. x + 4x5 + 10x3
b. x4 + 4x2 + 8x
c. −9x4 + 4x6 + 10x2
d. x4 + 4x4 + x6

Answers

Answer:

b. x^4 + 4x^2 + 8x

Step-by-step explanation:

I took the test. Also the exponents need to be in descending order in order for the equation to be in standard form.

So b, starts with an exponent of 4, the decreased to just the x variable with an understood exponent.

Decreasing -> 4,2,(1)

Hope this helps :)

Answer:

B

Step-by-step explanation: took the test

If 9 avocados cost $5, how much do 18 avocados cost? (find unit rate then multiply by 18)

Answers

Answer:

For this problem, you could just multiply $5 by 2 OR you could divide $5 by nine to find your Unit Rate and then multiply that number by 18.

To celebrate 25 years in business, the furniture store is having a 25% off sale on all their furniture. Estimate the new price before tax of a table that costs $159.39.

Answers

Answer:

Step-by-step explanation:

159.39(1-25/100)

159.39(100-25)/100

159.39(75)/100

159.39(0.75)

$119.54

What is the equation of the line that passes through the point (8, 4) and has a slope
of 3/2?

Answers

Answer:

y = (3/2)x - 8    slope-intercept form

3x - 2y = 16      standard form

Step-by-step explanation:

Use the point-slope form of a line to do this problem.

[tex]y - y_{1} = m(x - x_{1} )\\[/tex]

In your case [tex](x_{1} , y_{1} ) = (8, 4)[/tex]

So. y - 4 = 3/2 ( x - 8)  

multiply thru by 2

2y - 8 = 3(x - 8)

2y - 8 = 3x - 24

2y = 3x - 16

y = (3/2)x - 8    slope-intercept form

3x - 2y = 16      standard form

1. "Six less than trnce a number.
A 6 - 2x
A. 5y + 4
B. 2x - 6
C. 6x-2
D. 2 - 6x
2. "Five times the sum of a number and four."
B. 4(y + 5)
C. 5 + 4y
D. 5(y + 4)
3. Which is the correct translation of the given 2(m - 3)?
A. Twice difference of 3 and m.
C. Twice the difference of m and 3.
8. Twice the sum of m and 3.5
D. Twice the sum orm and 3.
4. "Ten less than thrice the a numbers
A. 10 - 3b
D. 3-10b
B. 3b - 10
C. 10b - 3
5. Given, m - 4, complete this: 4
A. minus
B. diminished by
a number
C. subtracted from
D. decreased by
6. "The raio di 7 and a number decreased by 2."
A. 7/(x-2)
B. (7/) - 2
C. 7X-2
D.7 -2/
7. "The difference of 10 and k divided by 4 yields to 2."
A. (10 - k)/4 = 2 B. 10 - (k/4) = 2 C. 10k/4 = 2
D. k - 10/4 = 2
8. "Four times the sum of 12 and y is equal to 60.
A. 4y + 12 = 60 B. 4 + 12y = 60 C. 4(12) + y = 60 D. 4(12 + y) = 60
9. All of the following are correct except
2x + 4; Twice a number
A. increased by B. added to
C. plus
D. more than
10. "8 times a number decreased by 13 becomes 3."
A. 8x + 13 = 3 B. 8x - 13 = 3
C. 13 - 8x = 3
D. 13 + 8x = 3​

Answers

Answer:

this is your answer. thanks for points

Answer:

D

Step-by-step explanation:

Shelley's kitten weights 2 1/3 times as much as she did last year. She now weighs 21 ounces. What did the kitten weight a year ago?

Answers

Answer:

weight of the kitten last year = 9 ounces

Step-by-step explanation:

Let

x = weight of the kitten last year

Weight of the kitten this year = 2 1/3 * x = 21

7/3*x = 21

7/3x = 21

x = 21 ÷ 7/3

x = 21 × 3/7

= 63/7

x = 9 ounces

weight of the kitten last year = 9 ounces

$200 Principal at 3% for 5 years. Find the interest earned and the balance of the account.

Answers

Answer:

Interest earned: $30    Balance: $230

Step-by-step explanation:

Find a formula for the nth term of the arithmetic sequence a1=-17 a2=-12 a3=-7 a4=-2

Answers

Answer:

Step-by-step explanation:

Recursive formula

a1 = -17

a^n = a^n-1 + 5

Explicit formula:

a^n = -17 + (n-1) * 5

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