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
beks73 [17]
3 years ago
13

three sets of the sum of a number and four are added to the sum of seven times the same number and thirteen

Mathematics
1 answer:
almond37 [142]3 years ago
7 0

The algebraic expression for given statement is: 10x + 25 or 3(x + 4) + (7x + 13)

<em><u>Solution:</u></em>

Given the statement:

Three sets of a sum of a number and four are added to the sum of seven times the same number and thirteen

Let us first understand the given statement,

Let the number be "x"

" sum of a number and four" means x + 4

"Three sets of a sum of a number and four" translated to 3(x + 4)

"sum of seven times the same number and thirteen" means 7x + 13

<em><u>Thus the algebraic expression for given statement is:</u></em>

3(x+4)+(7x + 13)

<em><u>Using distributive property in above expression</u></em>

a(b+c) = ab + bc

Therefore,

3(x+4)+(7x + 13) = 3x + 12 + 7x + 13

<em><u>Combine the like terms</u></em>

3(x+4)+(7x + 13) = 10x+25

Thus the required expression for given statement is: 10x + 25 or 3(x + 4) + (7x + 13)

You might be interested in
Which conclusions are valid given that ABCD is a parallelogram? Select True or False for each statement.
Burka [1]

it is true not false true

4 0
2 years ago
Question is in picture<br><br> Drag and drop the steps in order to correctly complete the proof
gavmur [86]

9514 1404 393

Explanation:

The correct order of the steps is ...

  • (Given)
  • (Definition of supplementary)
  • (Substitution)
  • (Subtraction ...)
  • (Definition of congruent angles)

A proof always starts with "given". It always ends with a statement of what you have proved.

To fill in the sequence between these, it helps to think about what the relationships are and why you can conclude that the theorem is correct.

5 0
2 years ago
A driver descended to a depth of -65 feet in 5 minutes. If she descended at the same rate each minute, what’s the rate?
Sidana [21]
This is an easy one. 

65/5= 13.

Therefore, she descended 13 feet per minute.
7 0
3 years ago
A circular mirror is surrounded by a square metal frame. The radius of the mirror is 3x. The side length of the metal frame is 1
Oliga [24]
8x means it’s divided by 5x +9
7 0
2 years ago
Ratio and simplify the ratio helpp​
drek231 [11]
1: -4/1
2: 1/2
3: 1/4
4: -4/1

I hope those r the correct answers
8 0
3 years ago
Other questions:
  • Betsy made ribbons for school spirit day. Her roll was 30 ft. Long. For each individual ribbon she needed 0.625 ft. How many rib
    12·1 answer
  • Find the diameter of a circle with an area of 676π square centimeters.
    6·1 answer
  • PLEASE HELP!!!!!!!!!
    12·1 answer
  • The endpoints of DE are D(-4,11) and E(-4,-13). The endpoints of GH are G(-14,5) and H(-9,5). Are DE and GH congruent? Explain.
    6·1 answer
  • Two points are selected randomly on a line of length L so as to be on opposite sides of the midpoint of the line. [In other word
    12·1 answer
  • If i multiple 5460 and 12 and then divide 65520 and 54 and I get 1221 what at would be my best estimate
    9·2 answers
  • If DE= 4x–1, EF= 9, and DF= 9x–22 , find the value of x
    9·1 answer
  • What Is 8×6+4-4+8-8+6-6+8-8
    8·2 answers
  • Mr. Verrengia bought some math supplies at the local math depot. He
    6·1 answer
  • Two regular 6-sided dice are tossed. Compute the probability that the sum of the pips on the upward faces of the 2 dice is the f
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!