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
Archy [21]
3 years ago
11

Kate is 17 years old, and Victor is 12 years younger. In how many years will Kate be twice as old as Victor?

Mathematics
1 answer:
9966 [12]3 years ago
8 0

Answer:

In 7 years

Step-by-step explanation:

Let

n ----> the number of years

x -----> Kate's age

y ----> Victor's age

we know that

(x+n)=2(y+n)

we have

x=17\\y=17-12=5\\

Victor's age is 5

substitute the given values

(17+n)=2(5+n)

Solve for n

17+n=10+2n

2n-n=17-10

n=7

<u><em>Verify</em></u>

In 7 years

Kate's age is 17+7=24

Victor's age is 5+7=12

24=2(12)

so

Kate is twice as old as Victor

You might be interested in
What is the sum of the first 5 terms of this geometric series? Use . -4 + 12 + (-36) + ⋯
yKpoI14uk [10]

Answer:

The sum of the first 5 terms is -244

Step-by-step explanation:

To calculate the sum of the geometric series, we need the first term, the common ratio and the number of terms we would like to sum.

The first term here is -4

The common ratio is T2/T1 or T3/T2 = 12/-4 = -3

number of terms n = 5

The formula to use is;

Sn = a(1-r^n)/(1-r)

Plugging these values, we have;

Sn = -4(1-(-3)^5)/(1-(-3))

Sn = -4(1+243)/4 = -1(244) = -244

7 0
3 years ago
To convert 21 km to m, you would move the decimal point _____ places to the _____.
vodka [1.7K]
Can you tell me what "m" is?
6 0
4 years ago
Read 2 more answers
The ordered pairs in the table below represent a linear function.
EastWind [94]

Answer:

whàaaaaaaaaaaaaaaaaaaasaaaaaaasaaaaat

3 0
3 years ago
let f be a function such that f(x) = 3x - 2 is defined on the domain 1 is less than or equal to x is less than or equal to 9. th
Anastaziya [24]

Answer:

Range:  [1,25]

Step-by-step explanation:

You may find it easier to express the domain in set notation rather than in words:  [1,9], or 1 ≤ x ≤ 9.  The smallest value of f(x) = 3x - 2 is at x = 1 and is 3(1) - 2, or 1.  The lasrgest value of f(x) is at x = 9 and is 3(9) - 2, or 25.

Thus, the range of this function is [1,25] or 1 ≤ y ≤ 25.


6 0
3 years ago
Please help (picture)
givi [52]

A = 360 cm^2

Step-by-step explanation:

Using Pythagorean theorem, the length AB is given by

AB^2 = 17^2 - 8^2 = 225 cm^2

or

AB = 15 cm

Since the ratio BC: CD = 1:2 and BC = 8 cm, this means that CD = 2×(8 cm) = 16 cm

so the length BD is

BD = BC + CD = 8cm + 16 cm = 24 cm

There the area of the rectangle is

A = AB×BD

= 15cm×24cm

= 360 cm^2

3 0
3 years ago
Read 2 more answers
Other questions:
  • What is the area of this figure? Enter your answer in the box. cm² A square with side lengths of 5 cm. A triangle attached to on
    8·2 answers
  • Which function has a simplified base of 4^sqrt 4 ?
    11·2 answers
  • Marquise, Bron'Tavious, and
    8·1 answer
  • PLS DO THIS AS QUICK AS POSSIBLE
    7·1 answer
  • Let U = {all soda pops}, A = {all diet soda pops),
    13·1 answer
  • Convert log_8 1=0 into an exponential equation<br> o 1^0=8<br> O 0^8=1<br> o '8^0=1<br> o '8^=8
    6·1 answer
  • PLS ANSWER TO GET POINTS
    8·2 answers
  • Help Due today question Below
    14·2 answers
  • Students are making ornaments and each takes 1 2 of a piece of Bristol board. They go to the cupboard and find 1 1 2 pieces of B
    8·1 answer
  • What are the different ways to choose the tens digit, B, in the number 76581B2, so that the number will be divisible by 4? Expla
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!