1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Paha777 [63]
3 years ago
7

Let K and T be the current ages of two siblings Katie and Thomas Katie is currently twice the age of Thomas. In 6 years Katie wi

ll be 4 times Thomas's current age how old are Katie and Thomas
* Write a system of equations to describe the situation
* find the solution to the system and answer the question

Mathematics
1 answer:
Alika [10]3 years ago
7 0

Answer:

Here, K represents the current age of Katie and T represents the current age of Thomas.

(a)

As per the statement:

Katie is currently twice the age of Thomas.

⇒K = 2T                ......[1]

It is also given that in 6 years Katie will be 4 times Thomas's current age.

K+6 = 4T

K+6 = 4T

Subtract 6 from both sides we get;

K = 4T-6                    ......[2]

A system of equations that describe the situation is:

K = 2T

K+6 = 4T

(b)

To find the solution:

equate [1] and [2] we have;

4T-6 = 2T

Subtract 2T from both sides we have;

2T-6 = 0

Add 6 to both sides we get;

2T = 6

Divide both sides by 2 we have;

T = 3 years

Substitute this in equation [1] we get;

K = 2(3) = 6 years.

Therefore, the current age of Katie and Thomas are 6 years and 3 years.




You might be interested in
Find the volume: 8 cm 20 cm 12 cm <br>Answers: 960 cm 1920 cm 3 960 cm 2 240 cm​
Kamila [148]

Answer:

1920 cm

Step-by-step explanation:

You multiply the values together. 8 times 20 times 12 is equal to 1920 cm.

6 0
2 years ago
Read 2 more answers
Please help me with this question devide 1296/0.81
algol13

Answer:

4

As waiwai993 answered, Can/May/Will have different meanings. However asking someone if they can help you usually implies that you would like their help, and it gives the person an opportunity to decline without being rude. Maybe they are able to help in theory, but can't right now because they are too busy. In that case they can say that they can't help. If they simply don't want to help they can just decline without a reason. So I would always use "Can you help me with this" or "Could you help me with this" unless I needed a more specific case (such as I KNOW that they CAN, but I am forcing to answer whether they WILL or not, or I know that they are ABLE, but maybe their mother won't let them*).

Step-by-step explanation:


8 0
3 years ago
PLEASE ANSWER ASAP!! <br><br> Explain two different ways to solve 72^2/4
777dan777 [17]

Answer:

Step-by-step explanation:

72^{\frac{2}{4}}=72^{\frac{1}{2}}= \sqrt{2*2*2*3*3}\\\\\\=2*3*\sqrt{2}\\\\=6\sqrt{2}

6 0
2 years ago
Can someone explain to me how to turn a fraction into a decimal..? And a decimal into a fraction? Be specific please! I have a t
cricket20 [7]
To turn a decimal into a fraction move the decimal point two spots over (Ex: 0.34=34%). To turn a fraction into a decimal get the denominator to 100 by multiplying both the top and bottom by whatever number needed (must both be multiplied by the same number) or divide to top number into the bottom number of you can’t multiply.
8 0
3 years ago
HELP MATH QUESTION GEOMETRY
schepotkina [342]

Angle COD equals angle AJL

Angle DCO equals Angle LAJ

Side OC equals side JA is all true expect for the first one

3 0
3 years ago
Other questions:
  • What weighs more 5.2 grams or 500 centigram
    11·2 answers
  • If ∠2 = 3x + 20 and ∠3 = 2x, what is the value of x
    5·1 answer
  • -2(2n+4)=10 solve the equation
    10·2 answers
  • point d is the interior of angleABE and point E is the interior of angleDBC....(press on the picture please) (also i scratched o
    11·1 answer
  • Pls help :(
    10·1 answer
  • So i need help with the question below.
    13·1 answer
  • Mrs. Ling baked 5 pies for a bake sale. During the morning, she sold 1 1/2 pies. During the afternoon, she sold 1 3/4
    13·2 answers
  • What is the equation of the line?
    6·2 answers
  • Please help!!!!!!!!!!
    12·1 answer
  • How to convert 4.5 into a percentage
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!