Five years ago today, Artie was four times as old as his sister Carrie. In five years time, Artie will be twice as old as Carrie. Find their current ages using a system of linear equations.

Answers

Answer 1

Answer: 25 , 10 years

Step-by-step explanation:

Suppose the present age of Artie and Carrie is x and y

According to the question, 5 years ago

[tex]\Rightarrow x-5=4(y-5)\\\Rightarrow x-4y=-15\quad \ldots(i)\\[/tex]

In five year time

[tex]\Rightarrow x+5=2(y+5)\\\Rightarrow x-2y=5\quad \ldots(ii)[/tex]

Solving (i) and (ii) we get

[tex]x=25,y=10[/tex]

The current age of Artie and Carrie is 25 and 10 years


Related Questions

Find x and y
Show all the work

Answers

both sides are the same so they are equal so...
4x+13=5x-15
x=28

1. Subtract
4
x
4x from both sides.
13
=
5
x

15

4
x
13=5x−15−4x

2. Simplify
5
x

15

4
x
5x−15−4x to
x

15
x−15.
13
=
x

15
13=x−15

3. Add
15
15 to both sides.
13
+
15
=
x
13+15=x

4. Simplify
13
+
15
13+15 to
28
28.
28
=
x
28=x

5.Switch sides.
x
=
28
x=28

javier bought a microwave for $105. the cost was 30% off the orginal price. what was the price of the microwave before the sale? Step by Step

Answers

Answer: price was $150

Step-by-step explanation: original price was x. When discount is 30%

Price is (100-30)% = 70 % from the original. 70% = 0.70

So we have an equation 0.7x = 105. And x= 105/0.7= 150

What are the solutions to 2(x – 7)2 = 32
A. x = 7+ 132
B.x = V65
C.x:3 and x = 11
D. X:-1 and x = 15

Answers

Answer:

C. x:3 and x = 11

Please answer correctly !!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

13

Step-by-step explanation:

First, we need to find the area of the rectangle that the triangle RST is in, which would be 4*5=20. Second, we need to subtract the three triangles so the remaining area would be the area of the triangle that we need to solve for. The sum of the areas of the three triangles would be: 1/2*2*5 + 1/2*2*2 + 1/2*4*3 = 5 + 2 + 6 = 13.

Answer:

13

Step-by-step explanation:

A walker on a trail travels along the path described by the parametric equations
x1 (t) = 80 - 0.8 t
y1 (t) = 4t
A cub leaves another area of the trail to the west and travels along the path described by the parametric equations
x2 (t) = 0.2t
y2 (t) = 40 + 0.6 t




a. do the pathways of the walker and cub intersect?
b. do the walker and cub collide?

Answers

Answer:

no,the pathway of the walker and cub don't intersect

a rectangular red sticker has a perimeter of 20 millimeters . it's area is 21 square millimeters . what are the dimensions of the sticker?

Answers

Answer:

the stick is a 7 by 3

Step-by-step explanation:

7+3+7+3 adds to 20 which would be the perimeter and the area is just length times width so 7 times 3.


An electronics store sold 4% of the computers that were on sale.
If only 12 computers were sold, how many computers were not sold?

Answers

Answer:

288

Step-by-step explanation:

We can use a proportion to solve this problem:

4 : 100 = 12 : x

x = (12 x 100)/4 = 300 (total computers)

300 - 12 = 288

what is the additive inverse of 3?
a. -3
b. a+(-a)=0
c. 0
d. -a

Answers

Answer:

a. -3

Step-by-step explanation:

Two numbers are additive inverses if they add to give a sum of zero. 3 and -3 are additive inverses since 3 + (-3) = 0. So, -3 is the additive inverse of 3.

formula to calculate variance​

Answers

Answer:

sample variance

the value of the one observation

the mean value of all observations

the number of observations

Step-by-step explanation:

Which sentence is true ?

Answers

Answer:

b

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

I think

2. A printing machine makes 240 books
in 30 hours. Written as a unit rate,
what is the speed at which the printing
machine makes books?
Answer quick plzzz

Answers

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: 8 books/ hour

Explanation:

240 / 30 = 8 books/ hour

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer:

8 books

Step-by-step explanation:

durjddndndnfnenfdndndnfn

hope this helps!

The dot plot below represents how long it takes students in a 7th grade math class to
get to school every morning.
SOMEONE HELP PLZ GIVING OUT BRAINLEST

Answers

Answer:

40

Step-by-step explanation:

All you have to do is subtract the biggest number from the smallest in order to get your answer.

45 - 5 = 40. Hence, the answer is 40

Hope this helps! :)

The number of students in the class should be considered as the 40.

Calculation of the number of students in the class;

= Largest commute time - smallest commute time

= 45 - 5

= 40

Here we basically deduct the  smallest commute time from the largest commute time so that the no of student in the class should come.

Learn more about class here:  https://brainly.com/question/17217914

At a school carnival, the diameter of the mat of a trampoline is 16 feet and the diameter of its metal frame is 18 feet. What is the length, in feet, of the metal frame that surrounds the trampoline? Use 3.14 for π and round your answer to the nearest tenth.

Answers

290

This is the answer

Bello you have a great day

Answers

you too !! .......... :)

Answer:

you too :)

Step-by-step explanation:

the worthington family is applying for a loan to purchase a new home.In order to qualify they must have a net worth greater than 100,000. based on the info given what is the worthing family's net worth will they qualify for the loan

Answers

Answer:

I guess please finish the question or this is the numbers I had.

Step-by-step explanation:

Mr. Worthington is a dentist, so he has $85,400 in student loans to pay off.

Mrs. Worthington earns $42,500 per year at her job. The Worthington family has a savings account with a balance of $18,800.

They own two vehicles that are worth a combined total of $64,600.

Mrs. Worthington owns an antique necklace valued at $6,200.

The Worthingtons have been saving for their children's college fund. currently has a balance of $24,700.

Worthington family would not be able to apply for the loan to purchase a new home because their net worth is less than $100,000

How to determine the family's networth?

The given parameters are:

Student loan = $85,400

Earnings =  $42,500 per year

Savings account balance = $18,800.

Vehicles worth = $64,600.

Necklace value = $6,200.

College fund balance =  $24,700

The net worth is the sum of the family's earnings, account balance minus the loans.

So, we have:

Networth = $42,500 + $18,800 + $64,600 + $6,200 + $24,700 - $85,400

Evaluate the sum and the difference

Networth = $71,400

The above means that the Worthington family would not be able to apply for the loan

Read more about networth and income at:

https://brainly.com/question/13793671

Help me with these ASAP!!!!!!

Answers

Answer:

6) 108 in³

7) 30 ft³

Step-by-step explanation:

6) volume = 36 x 3 = 108 in³

7) total volume = 4 x 5 x 6 x 0.5 = 60 ft³, each person gets half = 30 ft³

15/32 × 8/15??
please answer quick​

Answers

Answer:

1/4

Step-by-step explanation:

A basket of snacks contains 8 packs of oreos, 2 bags of chips, 6 packs of gummies, and 4 granola bars. Bill randomly choses 2 snacks. What is the probability a granola bar is chosen one choice after the other without replacing the first bar? {PLZZZZ HELP}

Answers

Answer:

There is a 3/95 probability that a granola bar is chosen one choice after the other without replacement.

Step-by-step explanation:

The probability of choosing a granola bar without replacing the first bar is 4/20, or 1/5. 4 represents the number of granola bars, and 20 represents the total snacks. Then there are 19 snacks and 3 granola bars which represents the 3/19 chance of getting a granola bar the second time without replacing it.

To find the probability of both of those events happening, multiply them.

(1/5) * (3/19) = 3/95.

If DE is not parallel to BC, what is DE?

Answers

Answer:

41

Step-by-step explanation:

BCDE is an isosceles trapezoid making the legs congruent.

DE = BC = 41

what is the diameter of the circle: x^2+y^2=16 ?

Answers

Answer:

The diameter of this circle is equal to 8

Step-by-step explanation:

The standard form of a circle is equal to x^2 + y^2 = r^2. As this equation shows x^2 + y^2 = 16, all we have to do is find the square root of 16, which is 4. This means that 4 is the radius of the circle and that 2 * 4 = 8, which is the diameter of the circle.

Because of this, the diameter of this circle is equal to 8.

Ariel made cupcakes to sell. 2/3 of them were chocolate chip,25% of the reminder was strawberry and the rest were 90 vanilla cupcakes. a) How many cupcakes were chocolate chip ? b) How many cupcakes were strawberry?​

Answers

Answer:

Let x be the total number of cupcakes.

Chocolate chips =

[tex] \frac{2}{3} x[/tex]

Strawberry =

[tex] \frac{1}{4} \times \frac{1}{3} \\ = \frac{1}{12} x[/tex]

Vanilla =

[tex]x - \frac{2}{3} x - \frac{1}{12}x \\ = \frac{1}{3} x - \frac{1}{12} x \\ = \frac{1}{4} x[/tex]

given

[tex] \frac{1}{4} x = 90[/tex]

[tex]x = 90 \div \frac{1}{4} \\ = 90 \times 4 \\ = 360[/tex]

a)Number of Chocolate chip Cupcakes =

[tex] \frac{2}{3} \times 360 \\ = 240[/tex]

b)Number of Strawberry cupcakes =

[tex] \frac{1}{12} \times 360 \\ = 30[/tex]

Sheyna has less than 180 minutes to decorate 60 cookies for the bake sale. How long can she spend decorating each cookie to stay within her time limit? (a) Write and solve an inequality.

Answers

Answer:

m < 3

Step-by-step explanation:

Cookies to decorate = 60

Time < 180 minutes

The inequality

60m < 180

Where,

m = number of minutes

60m < 180

m < 180/60

m < 3

Less than 3 minutes decorating each cookie


What is the area of this figure?
41 in
5 in
16 in
in
18 in
25 in
square inches

Answers

Answer:

balbal dj ko rin po alam sorry81

9. Which ordered pair is a solution of the system of inequalities shown in the
graph? (A.REI.12)
3
2
A. (1,0)
C. (0, -1)
8. (0,1)
D. (2,0)

Also please don’t add a website link I would prefer if you answer it in words or attach a photo straight to it not a file that I have to go to! Thank you if you can do that :)

Answers

Answer:

c

Step-by-step explanation:

cause if you look at the thing o minus -1

4x/x-5 - 3/x-6 simplify

Answers

Answer

-3

Step-by-step explanation:

x=4

4-5=-1

x=3

3-6=-2

-1+-2=-3

Answer:

-10

Step-by-step explanation:

The diagonal of a rectangle is 8 inches long. It makes an angle of 22 with the length of the rectangle.
8 in
width
22°
length
What is the length of the rectangle to the nearest tenth?
5.7 in
3 in
O 7.4 in
3.2 in

Answers

Answer:

5.7 because the half of 8 is 4 and 22 divided by 4 is 5.7

Hello can someone help :)
What is the smallest possible probability in any experiment?

Answers

Answer:

your asking us 'in any experiment' and im

kinda confused. do u want my answer to apply to the image below? if so it would be 1/4

if not then let me know and elaborate  

round 33.885 to the nearest 100th​

Answers

Answer:

33.89

Step-by-step explanation:

How to Calculate Rounding to the Nearest 100th?

If the digit after hundredth is greater than or equal to 5, add 1 to hundredth. Else remove the digit. Example

124.586

The third digit of right of decimal point is 6

The second digit after decimal point is 8 which is greater than 5

So add 1 to 8

Result = 124.59

Answer:

it's 33.89 hope it helps

Complete the function table for the function: y=4x+4
х
у
-6
-1
2
8

Answers

Answer:

-6,-1

Step-by-step explanation:

y=4x+4 then simplify and came up with -6,-1.

please help me with homework.​

Answers

Answer:

12

Step-by-step explanation:

4x3=12

In order to get the volume you multiply the the height by the base area

Answer:the volume of a triangular pyramid is one-third of the product of the base area and the pyramid's height

4x3 divided by 1/3=

36

Step-by-step explanation:please tell me if this is wrong and if it is I will delete the answer right away

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