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nikklg [1K]
3 years ago
8

Simplify. 10 / 7 k + 11 / 7 - 2 k + 2/7 + 2/7 k -6

Mathematics
1 answer:
Nikolay [14]3 years ago
6 0

As written, this is

\dfrac{10}{7}k+\dfrac{11}{7}-2k+\dfrac{2}{7}+\dfrac{2}{7}k-6=\left(\dfrac{10}{7}-2+\dfrac{2}{7}\right)k+\left(\dfrac{11}{7}+\dfrac{2}{7}-6\right)\\\\=\dfrac{10-14+2}{7}k+\dfrac{11+2-42}{7}\\\\=-\dfrac{2}{7}k-\dfrac{29}{7}

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In 5 years' time, Kate's father will be 3 times as old as Kate. Four years ago, her father
Brut [27]

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

8 0
3 years ago
16/8 would be classified as a/an?<br> A:whole number <br> B:integer <br> C:Rational Number
gregori [183]

Answer:

Whole Number

Step-by-step explanation:

Numerator. This is the number above the fraction line. For 16/8, the numerator is 16.

Denominator. This is the number below the fraction line. For 16/8, the denominator is 8.

Improper fraction. This is a fraction where the numerator is greater than the denominator.

Mixed number. This is a way of expressing an improper fraction by simplifying it to whole units and a smaller overall fraction. It's an integer (whole number) and a proper fraction.

Now let's go through the steps needed to convert 16/8 to a mixed number.

Step 1: Find the whole number

We first want to find the whole number, and to do this we divide the numerator by the denominator. Since we are only interested in whole numbers, we ignore any numbers to the right of the decimal point.

16/8 = 2

Now that we have our whole number for the mixed fraction, we need to find our new numerator for the fraction part of the mixed number.

Step 2: Get the new numerator

To work this out we'll use the whole number we calculated in step one (2) and multiply it by the original denominator (8). The result of that multiplication is then subtracted from the original numerator:

16 - (8 x 2) = 0

Step 3: Our mixed fraction

We've now simplified 16/8 to a mixed number. To see it, we just need to put the whole number together with our new numerator and original denominator:

2 (0/8)

You maybe have noticed here that our new numerator is actually 0. Since there is no remainder, we can remove the entire fraction part of this mixed number, leaving us with a final answer.

8 0
3 years ago
Can I please have help​
Dima020 [189]

Answer:

15a+12ac+6ab

Step-by-step explanation:

3a(5 + 4c + 2b)

5*3a = 15a

4c*3a = 12ac

2b*3a = 6ab

6 0
2 years ago
Read 2 more answers
Rationalize the denominator and simplify. √6/√5-√3​
Ann [662]
I hope this is useful

3 0
3 years ago
What is the value of b in the equation 3b + 2(b - 1) =8
WARRIOR [948]

Answer:

b = 2

Step-by-step explanation:

In order to find the value of b, we have to isolate b on one side of equation first

So,

3b+2(b-1)=8

Multiplying 2 with b-1

3b+2b-2=8\\5b-2=8

Adding 2 on both sides

5b-2+2=8+2\\5b=10

Dividing by 5 on both sides

\frac{5b}{5}=\frac{10}{5} \\b=2

So the value of b is 2 ..

6 0
3 years ago
Read 2 more answers
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