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Bumek [7]
3 years ago
9

Solve the following equation, and check your solution. Be sure to show all work.

Mathematics
1 answer:
sweet-ann [11.9K]3 years ago
3 0

<u>1. </u>Subtract 24 from both sides

-3x = -27 - 24

Simplify -27 - 24 to -51

-3x = -51

Divide both sides by -3

x = -51/-3

Two negatives make a positive

x = 51/3

Simplify 51/3 to 17

<u>x = 17</u>

<u>2.</u> Regroup terms

n/5 - 17 = 33

Add 17 to both sides

n/5 = 33 + 17

Simplify 33 + 17 to 50

n/5 = 50

Multiply both sides by 5

n = 50 * 5

Simplify 50 * 5 to 250

<u>n = 250</u>

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Rewrite the following in the form log(c). log(4) - log(2)
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Answer:

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Step-by-step explanation:

log(4) − log(2)

log(4/2)

log(2)

3 0
3 years ago
Which expression is equivalent to 2/3 (6x − 9y)?
k0ka [10]

Answer:

4x - 6y

Step-by-step explanation:

\frac{2}{3} (6x - 9y) \\  \\  =  \frac{2}{3}  \times 6x -\frac{2}{3}  \times 9y \\  \\  = 2 \times 2x - 2 \times 3y \\  \\  = 4x - 6y \\  is \: equivalent \: expression.

7 0
3 years ago
A total of 13.2 inches of snow fell during a snowstorm that lasted 5.5 hours. The same amount of snow fell each hour of the stor
frez [133]

Answer:

2.4 inches per hour

Step-by-step explanation:

A total of 13.2 inches of snow fell during a snowstorm that lasted 5.5 hours and the same amount of snow fell each hour of the storm.

This means that there was a constant rate of snow fall.

To find how many inches of snow fell each hour, we divide the amount of snow fall by the amount of time that the snowstorm lasted.

That is:

R = \frac{13.2}{5.5}

R = 2.4 inches per hour

This means that 2.4 inches of snow fell each hour during the snowstorm.

6 0
3 years ago
What is the solution to the system of equations? (7, 4) (7, startfraction 13 over 3 endfraction) (8, startfraction 14 over 3 end
miss Akunina [59]

The points are (7, 13/3).

Lets simplify the equation,

The equation of first line: y = 1/3 x + 2

the equation of second line: y= 4/3x - 5

Solve the system of equations by elimination,

Multiply equation A by -4 both sides

-4y = -4(1/3x +2)

-4y = -4/3x-8

After eliminating the equation we get,

y = 13/3

So now have to find x

13/3 = 1/3x + 2

Lets multiply above by 3
x = 13-6

x = 7.

Hence the points are (7, 13/3)

Learn more about Quadratic Equation on:

brainly.com/question/1214333

#SPJ4

5 0
1 year ago
A+4&lt;9<br><br><br> Anyone please?
olasank [31]

a < 5

step by step

4 - 4 = 0

9 - 4 = 5

6 0
3 years ago
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