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3 years ago

If 12a - 5 = 4a + 11 ,then a= what?

Mathematics

2 answers:

FinnZ [79.3K]3 years ago

7 0

Answer:

a=2

Step-by-step explanation:

12a - 5 = 4a + 11

Subtract 4a from each side

12a-4a - 5 = 4a-4a + 11

8a -5 = 11

Add 5 to each side

8a -5+5 = 11+5

8a = 16

8a/8 = 16/8

a =2

dmitriy555 [2]3 years ago

3 0

Answer:

a = 2

Step-by-step explanation:

12a - 5 = 4a + 11

correct the like terms

12a-4a = 11+5

8a = 16

divide by 8

8a/8 = 16/8

a = 2

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Evaluate each expression using the values m = 7, r = 8, and t = 2.

user100 [1]

So I'll walk through the first 2. Then please try the other ones and let me know if you run into more problems.

5m-6

If m is equal to 7, then replace m with 7.

5(7)-6

5x7=35 so the expression is now 35-6. Solve.

35-6=29

So that was the first one.

4m+t

We just do what we do with the first problem.

4(7)+(2)

4x7=28 so the expression is 28+2.

28+2=28

---

hope it helps

p.s. When there is subtraction, add. When there is division, multiply to cancel that out. When there is multiplication, divide to cancel. etc.

6 0

3 years ago

Read 2 more answers

WILL GIVE BRAINLIEST The angle of elevation from Ben to the top of a telephone pole is 62 degrees. If Ben is standing 8 feet fro

MrRissso [65]

Answer: The height of the telephone pole = $15.046

Step-by-step explanation:

Given: Angle of elevation= 62 degrees.

Distance of Ben from the base of the pole = 8 feet

According to trigonometry, we have

$\tan x=\dfrac{\text{side opposite to x}}{\text{side adjacent to x}}$

i.e.

$\tan 62^{\circ}=\dfrac{\text{ height of the telephone pole}}{8}\\\\(1.880726)=\dfrac{\text{ height of the telephone pole}}{8}\\\\\text{ Height of the telephone pole} = 8\times 1.880726\approx15.046$

Hence, The height of the telephone pole = $15.046

4 0

3 years ago

Julie invested 3000 in a simple interest account for 2 years. At the end of the 2 years, she had earned $75 in interest. What wa

Dahasolnce [82]

The simple interest rate was: 1.25%

Step-by-step explanation:

Simple interest is given by:

$A = Prt\\Here\\A => Interest\\P=>Principal\ Amount\\r => Rate\\t => Time\ in\ years$

Given

Principal amount =$3000

Time = t = 2 years

Interest amount = A = $75

putting the values in the formula

$75 = 3000 * r * 2\\75 = 6000r$

Dividing both sides by 6000

$\frac{6000r}{6000} = \frac{75}{6000}\\r = 0.0125\\$

So,

The rate is:

0.0125 * 100 = 1.25%

Hence,

the simple interest rate was: 1.25%

Keywords: Simple interest, percentage

Learn more about interest at:

#LearnwithBrainly

5 0

3 years ago

A recipe calls for ¾ cups of molasses. If you triple the recipe, how much molasses is needed?

labwork [276]

Answer:

9/4 exact form 2.25 decimal form 2 1/4 mixed number form

Step-by-step explanation:

3 0

3 years ago

During the winter of 2012–2013, Buffalo, New York received 22 inches of snow in 12 hours. Oswego, New York received 31 inches of

Virty [35]

Answer:

<em>Buffalo's snowfall rate is 1.83</em>

Step-by-step explanation:

<u>Rate of change</u>

It usually refers to how fast one quantity changes with respect to another, frequently time.

In our problem, we are given the information on two snowfall rates, one during the winter of 2012–2013 in Buffalo, New York, and the other in Oswego, New York. Buffalo received 22 inches of snow in 12 hours. It means the rate of change or ratio of snowfall in time is:

$\boxed{\displaystyle s_1=\frac{22}{12}=1.83}$

The snowfall rate received by Oswego is:

$\displaystyle s_2=\frac{31}{15}=2.07$

6 0

3 years ago