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fomenos
3 years ago
8

What is the solution to the equation 4(3x - 11) + 23 = 5x - 14 ?

Mathematics
1 answer:
Maurinko [17]3 years ago
7 0
Hello there!

4(3x - 11) + 23 = 5x - 14

Apply the distributive property to 4(3x - 11)
4(3x) + 4(-11)
12x - 44

We now have:
12x - 44 + 23 = 5x - 14
Combine like-terms on the left-hand side of the equation.
-44 + 23 = -21

12x - 21 = 5x - 14
Get x on one side by subtracting 5x from both sides..
12x - 5x = 7x
5x - 5x = 0

7x - 21 = -14
Add 21 to both sides to isolate 7x.
-21 + 21 = 0
-14 + 21 = 7

7x = 7
Divide both sides by 7 to solve for x.
7x / 7 = x
7 / 7 = 1

We are now left with the following solution:
x = 1

I hope this helps!
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Step-by-step explanation: to find circumference it is 2piR and to find the area it is piR^2

4 0
3 years ago
X + 11 &lt; 6 <br> Solve and graph on a number line
Drupady [299]

Answer & Step-by-step explanation:

So I can't exactly graph exactly, but I'll try...

To solve:

x+11<6  Subtract 11 on both sides.

x<-5

To graph:

<-------|---------o---------|-------->

        -6        -5         -4

(The bolded part of the line is the side you shade the graph on. In case you can't see it, you have to shade the left side of the open circle.)

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4 0
3 years ago
There are 22 paper clips in a draw 12 is gold an 10 are silver what fraction of the paper clip is gold?
yKpoI14uk [10]

Answer:

6/11

Step-by-step explanation:

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7 0
3 years ago
Carnival T charges an entrance fee of $7.00 and $0.50 per ticket for the rides. Carnival Q charges an entree fee of $12.00 and $
FrozenT [24]

Answer:

$30

Step-by-step explanation:

Calculation for the tickets that must be purchased for Carnival T and Carnival Q to be the same

Based on the information given let x be the number of ticket to be purchased .

Carnival T entrance fee= $7.00

Ride= $0.50 per ticket

Carnival Q entree fee =12.00

Ride= $0.25 per ticket

Tickets=$7.00 + ($0.50* x) = $12.00 + ($0.25* x)

.25 x = 5.00

Hence:

x=$.25+$5.00

×=$30

Therefore the amount of tickets that must be purchased in order for the total cost at Carnival T and Carnival Q to be the same will be $30

3 0
3 years ago
Find the smallest solution to the equation 2/3 X² equals 24
iren [92.7K]

Answer:

The smallest solution is -6

Step-by-step explanation:

2/3 x^2 = 24

Multiply each side by 3/2

3/2 *2/3 x^2 = 24*3/2

x^2 = 36

Take the square root of each side

sqrt(x^2) = sqrt(36)

x = ±6

The smallest solution is -6

The largest solution is 6

4 0
4 years ago
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