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Nikolay [14]
2 years ago
7

In 5 years' time, Kate's father will be 3 times as old as Kate. Four years ago, her father

Mathematics
1 answer:
Brut [27]2 years ago
8 0

Answer: Kate = 40/3  Her father = 50

Step-by-step explanation:

Let Kate's age in the present be K

And Kate's father's age in the present be F

3(K+5) = F+5

6(K-6) = F-6

Rearrange the first equation to get

3K+15 = F+5

3K+10 = F

Substitute that into the second question

6K-36 = 3K+10-6

3K = 40

K = 40/3

So F = 3*40/3+10 = 50

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What much expression represents a rational number?
Pie

Answer:

\displaystyle \frac{2}{7}+\sqrt{121}

Step-by-step explanation:

<u>Rational Numbers</u>

A rational number is any number that can be expressed as a fraction

\displaystyle \frac{a}{b}, \ b\neq 0

for a and b any integer and b different from 0.

As a consequence, any number that cannot be expressed as a fraction or rational number is defined as an Irrational number.

Let's analyze each one of the given options

\displaystyle \frac{5}{9}+\sqrt{18}

The first part of the number is indeed a rational number, but the second part is a square root whose result cannot be expressed as a rational, thus the number is not rational

\pi + \sqrt{16}

The second part is an exact square root (resulting 4) but the first part is a known irrational number called pi. It's not possible to express pi as a fraction, thus the number is irrational

\displaystyle \frac{2}{7}+\sqrt{121}

The square root of 121 is 11. It makes the whole number a sum of a rational number plus an integer, thus the given number is rational

\displaystyle \frac{3}{10}+\sqrt{11}

As with the first number, the square root is not exact. The sum of a rational number plus an irrational number gives an irrational number.

Correct option:

\boxed{\displaystyle \frac{2}{7}+\sqrt{121}}

6 0
3 years ago
12 dogs decreased by 25%
masya89 [10]

Answer:

9

Step-by-step explanation:

12-.25(12)=12-3

12-3=9

7 0
3 years ago
Find the slope of the coordinates plane points
Lerok [7]

Answer:

-2

Step-by-step explanation:

When they give you 2 points use the formula so y2-y1/x2-x1

So -2-8/1 - -4

-10/1+4 so -10/5 = -2

7 0
3 years ago
4(5n+7)-3n=3(4n-9) Solve. Its supposed to equal -11
Katena32 [7]
Here are the steps to solve the equation. Good luck!

7 0
3 years ago
If a- b= 2 and ab= 15 then a3-b3?<br>a) 30 b) 98 c) 20 d) 60<br>full explanation please​
krek1111 [17]

Answer:

C) 20

Step-by-step explanation:

ab=15

5*3 = 15

which is a and which is b

a - b = +2

5 - 3 = + 2

------------------

a = 5 and

b = 3

------------------

a3-b3 = 53 - 33 = 20

7 0
2 years ago
Read 2 more answers
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