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ruslelena [56]
2 years ago
12

What value of k makes the equation true? (5a^2n^3(6a^kb)=30a^6b^4

Mathematics
1 answer:
lesantik [10]2 years ago
5 0

An equation is formed when two equal expressions. The value of k that makes the equation true is 4.

<h3>What is an equation?</h3>

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The value of k that will make the equation true is,

5a^2b^3(6a^kb)=30a^6b^4\\\\30\ a^{(2+k)}\ b^{(3+1)} = 30\ a^6\ b^4\\\\30\ a^{(2+k)} \ b^4 =  30\ a^6\ b^4\\\\a^{(2+k)}  =a^6\\\\2+k = 6 \\\\ k = 4

Hence, The value of k that makes the equation true is 4.

Learn more about Equation:

brainly.com/question/2263981

#SPJ1

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150% as a mixed number is 1.5 which = 1 1/2
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8 0
3 years ago
Lilly has read seven-eighths of her book and is on page 147. How many pages does lilly have left to read?
lara [203]

Answer:

21

Step-by-step explanation:

Since Lilly has read 7/8 of her book (aka 147 pages), divide 147 by 7 and you get 21.

This means 1/8=21

Since she has read 7/8 of the book, and the full book is 8/8, 8/8-7/8= 1/8

Meaning she has 1/8 of the book left to read.

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Thus, she has 21 pages left to read.

4 0
3 years ago
5/8 and 1/4 is subtracted from the product of 2 3/4 and 1 3/5 what is the difference
olga55 [171]

Answer:

-233/40

Step-by-step explanation:

5/8 + 1/4 - 2(3/4 + 13/5)

5/8 + 2/8 - 6/4 + 26/5

7/8 - 30/20 + 104/20

7/8 - 134/20

35/40 - 268/40

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3 0
3 years ago
Suppose that the water level of a river is 34 feet and that it is receding at a rate of her foot per day right in equation and h
Ghella [55]

Answer: it will take 9 days

Step-by-step explanation:

The water level was initially at 34feet it was receding at the rate of a foot per day. The rate at which it was receding is linear, thus, it is in an arithmetic progression. The formula for the nth term of an arithmetic progression is expressed as

Tn = a+(n-1)d

Where

a is the first term if the sequence

d is the common difference

n is the number of terms.

From the information given,

a = 34 feet because it is the initial height

n is the number of days it will take to get to 26 ft

d = -1 because it is decreasing by 1 foot per day.

Tn = T26 = 26 feet. Therefore, the equation will be

Tn = 34 -1(n-1)

To find for T26,

26= 34 + (n - 1)-1

26 - 34 = -n + 1

n - 1 = 8

n = 8 + 1 = 9

8 0
3 years ago
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