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bogdanovich [222]
3 years ago
7

Rearranging literal equations!! really confused ASAPplease

Mathematics
1 answer:
valina [46]3 years ago
7 0

Answer:

b = \frac{8a-55}{5-a}

Step-by-step explanation:

To clear the radicals square both sides

\frac{1}{6-a} = \frac{8+b}{b-7} ( cross- multiply )

(6 - a)(8 + b) = b - 7 ← expand factors on left using FOIL

48 + 6b - 8a - ab = b - 7 ( subtract 48 from both sides )

6b - 8a - ab = b - 55 ( add 8a to both sides )

6b - ab = b - 55 + 8a ( subtract b from both sides )

6b - ab - b = 8a - 55, that is

5b - ab = 8a - 55 ← factor out b from each term on the left side )

b(5 - a) = 8a - 55 ← divide both sides by (5 - a)

b = \frac{8a-55}{5-a}

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What is the justification for each step in the solution of the equation?
otez555 [7]

23x-13=2(x+2)

First you would distribute the 2 into the parenthesis

It will look like this after: 23x-13=2x+4

Then you would subtract 2x on both sides because u have to get the x's on one side

It will look like this after:21x-13=4

Then you would add 13 to both sides

It will look like this after: 21x=17

Then you would divide 21 on both sides

Your final product is 21/17


7 0
3 years ago
Mustafa’s soccer team is planning a school dance as a fundraiser. The dj charges $200 and decorations cost $100. The team deci
Kaylis [27]

Question is Incomplete;Complete question is given below.

Mustafa’s soccer team is planning a school dance as a fundraiser. The DJ charges $200 and decorations cost $100. The team decides to charge each student $5.00 to attend the dance. If n represents the number of students attending the dance, which equation can be used to find the number of students needed to make $1,500 in profit?

5n - 300 = 1,500\\\\5n + 300 = 1,500\\ \\5n - 200 + 100n = 1,500\\\\5n - 100 -200n = 1,500

Answer:

5n - 300 = 1,500

Step-by-step explanation:

Given:

Charges of DJ = $200

Decoration charges = $100

Profit need to be made = $1500

Charges per student to attend the dance = $5

We need to write the equation to find the number of students for to attend the dance in order to make profit.

Solution:

Let the number of student be represented by 'n'.

Now we can say that;

Profit to be made should be equal to Charges per student to attend the dance multiplied by number of students minus sum of Charges of DJ and Decoration charges.

framing in equation form we get;

5n-(200+100)=1500\\\\5n-300=1500

Hence the equation to find the number of students attending the dance is 5n - 300 = 1,500

8 0
3 years ago
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saul85 [17]
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3 years ago
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SOVA2 [1]

Answer:

y+2 = 2(x+2)

Step-by-step explanation:

given point (a,b) and slope m, point slope form of a line is:

y-b = m(x-a)

3 0
3 years ago
Use the common multiple of 24
max2010maxim [7]

Answer:

24, 48, 72, 96, 120

Step-by-step explanation:

I can keep going on but i learned to just put at least 5 and if the person needs  more then just give them ten more

8 0
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