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
docker41 [41]
3 years ago
11

A number doubled and has four added to it. The result is divided by three and then added to the product of the original number a

nd two. The resulting sum is twenty.
Mathematics
1 answer:
IrinaK [193]3 years ago
8 0
X= a number

(2x+4)/3 + (x+2)= 20
Multiply everything by 3 to eliminate the fraction
(3/1)((2x+4)/3) + (3)(x+2)= (3)(20)
2x+4+3x+6= 60
5x+10=60
Subtract 10 from both sides
5x=50
divide both sides by 5
x=10

Check:
Substitute answer in original equation
(2x+4)/3 + (x+2)= 20
(2(10)+4)/3+(10+2)= 20
(20+4)/3+12= 20
24/3+12= 20
8+12= 20
20=20

Hope this helps! :)
You might be interested in
**At noon the minute and the hour hands overlap. When will it happen next?
Svetllana [295]

Answer: At 01:05 p.m. it will overlap again.

Explanation:

Since there are 22 times in a day the minute and the hour hands overlap.

During the first half of the day , it overlaps 11 times and during the rest of the day it overlap 11 more times.

At noon, the minute and the hour hands overlap and after that it will happen at 01:05 p.m.

Since the minute hand completes a full circle in one hour, so it forms 6 degrees per minute .

So, at 01:05 p.m. it will overlap again.

7 0
3 years ago
What is the quotient of 4 2/3 divided by 4 1/5 :fraction
Ostrovityanka [42]
Write the two fractions as improper fractions 
4  2/3 is 14/3
<span>4  1/5</span> is 21/5
rewrite
14/3 <span>÷ 21/5
since it is pretty complicated to divide two fractions, 
you change it to multiplication
keep the first fraction, change the division sign to multiplication, then flip the second fraction
(you can remember KEEP, CHANGE, FLIP whenever dealing with division of fractions :) )
14/3 * 5/21
multiply across
(14 * 5) / ( 3 * 21)
</span>70/ 63
simplify to 10/9
this can be written as 1  1/9

Hope this helps
8 0
3 years ago
Read 2 more answers
Please select the word from the list that best fits the definition
sp2606 [1]

Answer:

Epics

Step-by-step explanation:

Two dictionary definitions are

1. a long poem, typically one derived from ancient oral tradition, narrating the deeds and adventures of heroic or legendary figures or the history of a nation.

2. a long film, book, or other work portraying heroic deeds and adventures or covering an extended period of time.

7 0
3 years ago
Read 2 more answers
Which of the following represents the general equation for the geometric sequence?
anygoal [31]
I think that it would be (x times 2)
8 0
3 years ago
Suppose a food scientist wants to determine whether two experimental preservatives result in different mean shelf lives for bana
melomori [17]

Answer:

The two sample t-test

Step-by-step explanation:

The appropriate test for thus is the two sample t test which is also known as the independent t test. This tests aims at determined whether there is a statistically significant difference between the means in two unrelated groups which in this context are a random sample with one type of preservative and another sample with another type of preservatives.

With this test, the researcher is able to compare the mean shelf lives of the bananas treated with the two different preservatives... The null hypothesis equalises the two means of the sample while the alternative does otherwise.

3 0
3 years ago
Other questions:
  • The number a is increased by the number b
    10·1 answer
  • Translate the sentence into an equation. The product of 8 and a number increased by 4 is 60. Question 1 options:
    6·1 answer
  • I am the largest number that rounds to 241.699 when rounded to the nearest thousandth. What number am I? Please explain how you
    7·1 answer
  • Each day, Maria records the number of news articles she reads. Here are her results for the last eight days.
    15·2 answers
  • Which expression is equivalent to 9-2?<br> -81<br> -18
    13·1 answer
  • Find the value of Z in the picture
    7·2 answers
  • Dilate the segment about the origin by a scale factor of 1 /2 What are the coordinates of B'?
    7·2 answers
  • (c) Solve 3(22-5) = 4z + 11<br> Show clear algebraic working.
    6·1 answer
  • Karri earns extra money by making and selling necklaces and earrings.
    13·1 answer
  • READ THE PROBLEM WITH UNDERSTANDING AND SHOW THE SOLUTION
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!