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lions [1.4K]
3 years ago
10

Find the value of x that makes this statement true

Mathematics
1 answer:
Brrunno [24]3 years ago
4 0
\frac{(-2)^{5x-3}}{(-2)^{2x}} =(-2)^{21}

(-2)^{5x-3-2x}=(-2)^{21}  (The numerator and the denominator has same bases, therefore the powers will get subtracted. It is an exponential property)

(-2)^{3x-3}=(-2)^{21}

3x-3=21  (As the left hand side is equal to right hand side and the bases are on both the sides are equal too, we will equate their exponential power. Another property)

x-1=7

x=8  (After simplifying more, you'll get this)
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Alona [7]

Using a system of equations, it is found that since 20 child bikes and 6 adult bikes would require more testing than the allocated time, it is not possible to build this amount.

<h3>What is a system of equations?</h3>

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are:

  • Variable c: number of child bikes.
  • Variable a: number of adult bikes.

Each child bike requires 4 hours to build, as do each adult bike. The company has 100 hours of testing, hence:

4c + 4a = 100.

c + a = 25.

With 20 child bikes and 6 adult bikes in a week, we have that c = 20, a = 26, hence:

c + a = 26

20 child bikes and 6 adult bikes would require more testing than the allocated time, it is not possible to build this amount.

More can be learned about a system of equations at brainly.com/question/24342899

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4 0
2 years ago
I will mark as brainiest for correct answer! Please help me! Thank you
Dmitrij [34]
For the division part:
\frac{5-4}{4-3 }= \frac{1}{1 }=1

But I think your question differs than this..

Am I right?

as your options do not include 1
3 0
3 years ago
Please help me with this question thank you
Fantom [35]
If the answer is an equation then it is:
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8 0
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Logan and Claudia want to split a bag of fun-sized candy, and decide to use the divider-chooser method. The bag contains 100 Sni
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Answer:

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7 0
3 years ago
What do all quadrilaterals have in common
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All<span> of them </span>have <span>four sides, are coplanar, </span>have<span> two diagonals, and the sum of their four interior angles equals 360 degrees.</span>
3 0
3 years ago
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