MATHEMATICS HIGH SCHOOL

when 12 is added to a certain number and the result is multiplied by 4. the final result is 60.find the number.​

Answers

Answer 1
Answer:

Answer:

The number is 3

Step-by-step explanation:

Let x be the number

Add 12

(x+12)

Then multiply by 4

4(x+12)

This is equal to 60

4(x+12) = 60

Divide each side by 4

4(x+12)/4 = 60/4

x+12 = 15

Subtract 12 from each side

x+12-12 = 15-12

x = 3
Answer 2
Answer:

Answer is  3

=====================================================

Work Shown:

x = some unknown number

x+12 = adding 12 to the unknown number

4(x+12) = multiplying the previous sum by 4

4(x+12) = 60 .... set this equal to the desired result we want

Now solve for x. We will undo the steps done above to isolate x

----------------

4(x+12) = 60

x+12 = 60/4 .... divide both sides by 4 to undo "multiply by 4"

x+12 = 15

x = 15-12 .... undo "add 12" by subtracting 12 from both sides

x = 3

-----------------

The unknown number is 3

add 12 to it to get 3+12 = 15

multiply that sum by 4 to get 15*4 = 60

Answer is confirmed.

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HELP!!!! Divide. Write your answer in lowest terms as a proper or improper fraction (not a mixed number). 11/21 divided by 22/7

Answers

My answer is 1/6. Here's How I worked it out:

11/21 / 22/7 is the same as or = to 11/21 * 7/22 which = 77/462 and then divide both the numerator and denominator by 77 and you get 1/6. (In other words simplify 77/462). Hope this helped :) 

18 Alexis washes 10 windows in hour At this rate, how many windows can she wash in one hour?

Answers

Find 'per hour' here based on the above information. 

10 1/2 divided by 3/4 

10.5 ÷ 0.75 = 14

14 windows can be washed in one hour is the answer. 

What is the period and frequency of a 10-pound weight oscillating (as a pendulum) on a 5-meter-long rope?

Answers

The mass of the pendulum does not affect the period and frequency
The period can be determined using the formula:
T = 2π √(L/g)

where L is the length of the rope
and g is the acceleration due to gravity = 9.8 m/s2

Plugging in the values:
T = 2π √(5/9.8)
T = 10π/7 = 4.49 s

And for the frequency:
f = 1/T
f = 1/4.49
f = 0.22 Hz

Answer:

Period = 4.5 seconds

Frequency = 0.22 hertz.

Step-by-step explanation:

Given : 10-pound weight oscillating (as a pendulum) on a 5-meter-long rope.

To find : What is the period and frequency.

Solution :

The formula to find time when length is given,

T=2\pi\sqrt{(L)/(g)}

where,T is the time period , L is the length and g is the acceleration due to gravity

L= 5 m and g=9.8 m/s

Substitute in the formula,

T=2\pi\sqrt{(5)/(9.8)}

T=2\pi√(0.510)

T=2* 3.14* 0.714

T=4.483

The time period is approx 4.5 seconds.

\text{Frequency}=\frac{1}{\text{Period}}

\text{Frequency}=(1)/(4.5)

\text{Frequency}=0.22\text{hertz}

Therefore,Period = 4.5 seconds

Frequency is 0.22 hertz.

Preform the indicated operation. Write your answer in proper a + bi form.HELP!!
(4 +√-6) + (8-√-294) -(21 + √-216)

Answers

(4 +√(-6)) + (8-√(-294)) -(21 + √(-216))=\n4+\sqrt6i+8-7\sqrt6i-21-6\sqrt6i=\n-9-12\sqrt6i

elizabeth has 3497 cans to put on shelves how many shelves will she use if she put 13 cans on each shelve

Answers

269 shelves because if you divide 3497 by 14 you will get 269

Patricia roller skates 0.50 kilometers, straight north to the library. Then she walks 0.25 kilometers to her friend's house, which is straight north of the library. What is Patricia's displacement?

Answers

The answer is 0.75 kilometers.

Displacement is the shortest distance between the initial and the final point. But, Patricia roller skates in the straight line, so her displacement is the distance between the initial and the final point:

0.50 km + 0.25 km = 0.75 km.

Therefore, Patricia's displacement is 0.75 kilometers.

The answer is: 0.75 km, north
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