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3 years ago

How do you solve literal equations

1 answer:

6 0

See examples before for the method to solving literal equations for a given variable: Solve A = bh for b. Since h is multiplied times b, you must divide both sides by h in order to isolate b. Since (c+d) is divided by 2, you must first multiply both sides of the equation by 2. my own words didnt get off google im a teacher

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1.Simplify 5 to the 5th over 5 to the 8th.

timurjin [86]

Q1. The answer is 1 over 5 to the 3rd power.

5 to the 5th is 5⁵
5 to the 8th is 5⁸
5 to the 5th over 5 to the 8th is $\frac{ 5^{5} }{ 5^{8} }$
To simplify, we will use two rules:
$\frac{ x^{a}}{ x^{b} } = x^{a-b} \\ x^{-a} = \frac{1}{ x^{a}}$
Therefore:
$\frac{ 5^{5} }{ 5^{8} } = 5^{5-8} =5^{-3}= \frac{1}{5^{3}}$
$\frac{1}{5^{3}}$ is the same as 1 over 5 to the 3rd power.

Q2. The answer is (53)−4.

The exponents are multiplied when are expressed in the form:
 $(x^{a}) ^{b}= x^{a*b}$
So, $(5^{3} )^{-4}=5^{3*(-4)}=5^{-12}$

Other choices are incorrect:
one third to the 4th times one third to the 7th is $( \frac{1}{3} )^{4} *( \frac{1}{3} )^{7}=( \frac{1}{3} )^{4+7}$
3 to the 7th over 3 to the 15th is $\frac{ 3^{7} }{3^{15}} =3^{7-15}$
45 ⋅ 42 is $4^{5}* 4^{2} = 4^{5+2}$

3 0

3 years ago

Read 2 more answers

How do you subtract negative numbers using counters

Alla [95]

Answer:

by adding counters to the total

3 0

3 years ago

What will be the answer for this? Please help me, please and thank you

Shkiper50 [21]

Answer:

10:1

Step-by-step explanation:

When you cross multiply the fractions together, you should get 30:3. When you simplify that, you get 10:1 as your answer.

5 0

3 years ago

for the following two numbers, find two factors of the first number such that their product is the first number and their sum is

zepelin [54]

You can make some algebraic equations and solve it.
The first would be:
$x \times y = - 21$
The second would be
$x + y = - 4$
You can then rearrange the second into
$x = - 4 - y$
And subsitute it into the first like so:
$( - y - 4) \times y = - 21$
After that, distribute the y into the parantheses.
${ - y}^{2} - 4y = - 21$
Subtract the 21 on both sides and multiply by -1 on both sides:
${ - y}^{2} - 4y + 21 \\ {y}^{2} + 4y - 21$
You then can factor it into:
$(y + 3) \times (y - 7) = 0$
With Zero Product Property, we can determine y to be either -3 and 7. Since the variables are interchangable, you can say the same about x, just that whatever x is, y must be the other value.

Thus, the answer is 7 and -3.

5 0

3 years ago

Logan made a profit of $210.00 as a mobile groomer. He charged $75.00 per appointment and received $35.00 in tips, but also had

Sonja [21]

Answer: Per the I agree statement you signed when you registered for your course. Selling course material to another person, student, entity, and/or uploading to a third-party vendor without the express written permission of FLVS is prohibited. Course materials include, but are not limited to, class notes, instructor's power points, course syllabi, tests, quizzes, labs, instruction sheets, homework, study guides, and handouts.

4 0

2 years ago