1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
WITCHER [35]
2 years ago
9

Translate into an algebraic expressions: a x is increased by 50% and decreased by 30% . What is the result?

Mathematics
1 answer:
klemol [59]2 years ago
6 0

Answer:

21x/20 or can be written as  x + x/20 .

Step-by-step explanation:

The number is x

step 1

x is increased by 50%

value of 50% of x = 50/100 *x = x/2

New value after this change = x + 50% increase = x + x/2 = 3x/2

Step 2 The value obtained is decreased by 30%

value of 30% newly found number is = 30% of value found in step 1

value of 30% newly found number is = 30/100 * 3x/2 = 9x/20

This value (9x/2) is subtracted from value found in step 1(3x/2) as given that  value obtained is decreased by 30%

new value found after 30% decrease = 3x/2 - 9x/20 = (3x*10 -9x)/20

new value found after 30% decrease = (30x-9x)/20 = 21x/20

Thus, the result of x is increased by 50% and decreased by 30% is 21x/20 = x + x/20

You might be interested in
What is 776x + 874y?<br><br> S<br> 0<br><br> B<br> 0<br> r<br> 3<br> d<br><br><br> r<br> N
Alex17521 [72]

Answer:

2(338x + 437y) which is 676x +874y

Step-by-step explanation: I just looked this up on Math.way so...

5 0
3 years ago
1. Determine a rule that could be used to explain how the volume of a
Eva8 [605]

Answer:

See explanation

Step-by-step explanation:

Solution:-

- We will use the basic formulas for calculating the volumes of two solid bodies.

- The volume of a cylinder ( V_l ) is represented by:

                                  V_c = \pi *r^2*h

- Similarly, the volume of cone ( V_c ) is represented by:

                                  V_c = \frac{1}{3}*\pi *r^2 * h

Where,

               r : The radius of cylinder / radius of circular base of the cone

               h : The height of the cylinder / cone

- We will investigate the correlation between the volume of each of the two bodies wit the radius ( r ). We will assume that the height of cylinder/cone as a constant.

- We will represent a proportionality of Volume ( V ) with respect to ( r ):

                                  V = C*r^2

Where,

            C: The constant of proportionality

- Hence the proportional relation is expressed as:

                                 V∝ r^2

- The volume ( V ) is proportional to the square of the radius. Now we will see the effect of multiplying the radius ( r ) with a positive number ( a ) on the volume of either of the two bodies:

                                V = C*(a*r)^2\\\\V = C*a^2*r^2

- Hence, we see a general rule frm above relation that multiplying the result by square of the multiple ( a^2 ) will give us the equivalent result as multiplying a multiple ( a ) with radius ( r ).

- Hence, the relations for each of the two bodies becomes:

                              V = (\frac{1}{3} \pi *r^2*h)*a^2

                                          &

                              V = ( \pi *r^2*h)*a^2

8 0
3 years ago
Write the first five terms of the arithmetic sequence. First term: -8 and common difference: -2
Hunter-Best [27]

Answer:

-8,-10,-12,-14,-16

Step-by-step explanation:

Just take -8 and add -2 to find each term

7 0
2 years ago
A car has a full tank with 13 and 1/2 gallon of gas .Over the course of two days the amount of gas decreased by 6.25 write and e
aleksklad [387]

Answer: 7.25 gallons

Step-by-step explanation:

Convert 13¹/₂ to a whole number with a decimal:

= 1/2 = 0.5

= 13.5 gallons of gas

If the gas reduces by 6.25 gallons, the amount of gas remaining will be:

= Starting amount - Amount reduced by

= 13.5 - 6.25

= 7.25 gallons

6 0
3 years ago
Does 17/3 = 68/12???
dimulka [17.4K]

Answer:

17/3 = 68/12

Step-by-step explanation:

17/3 =? 68/12

Get a common denominator of 12

17/3 * 4/4

68/12

They are equal so this is true

4 0
3 years ago
Read 2 more answers
Other questions:
  • Drag the tiles to the correct boxes to complete the pairs.
    14·1 answer
  • If a laptop originally costs $800, the balance due after the 10% discount and $150 gift card is applied is
    5·2 answers
  • A car rental company charges $34 per day for a rented car and $0.50 for every mile driven. A second rental company charges $20 p
    14·2 answers
  • What is the base of a parallelogram if the height is 6 5/8 feet and area 26 1/2 square feet?​
    5·1 answer
  • Are the ordered paires parallel perpendicular or neither​
    7·1 answer
  • There are 60 seconds in a minute and 60 minutes in an hour how many seconds are in one hour
    15·2 answers
  • The polygons are similar find the values of the variables
    8·1 answer
  • Two people enter a whispering gallery and want to know where they should stand so they can hear the other person's whisper. The
    14·1 answer
  • The radius of a circle is 12 mm what is the circles area
    13·2 answers
  • It takes 4 minutes to fil an empty aquarium to a depth of 2/4 meters. what is the unit rate in minutes per meter ? write your an
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!