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
Nikolay [14]
2 years ago
5

Find two numbers with the sum of 65.twice the smaller number is ten more than the bigger one

Mathematics
1 answer:
melomori [17]2 years ago
4 0

Step-by-step explanation:

To begin, let’s represent both numbers with letters; x for the smaller number and y for the larger one

The question states that both numbers sum up to 65. With that, we can create our first equation:

x+y = 65

You also went on to say that the smaller number multiplied by 2, is equal to the sum of the larger number and 10. Therefore

2x = y+10

We can rearrange the first equation, place it in the second equation and find our answer. So,

Rearranging equation 1, we have y=65-x. Hence:

2x = 65-x +10

3x = 75

x= 75/3 = 25

Substituting this value into equation 1, we have ‘y’ to be 40 {65–25}

Proof: 2*25 = 50 = 40+10

You might be interested in
Need an answer thanks in advance​!
slamgirl [31]

Answer:

1806 seats.

Step-by-step explanation:

From the question given above, the following data were obtained:

Row 1 = 24 seats

Row 2 = 27 seats

Row 3 = 30 seats

Total roll = 28

Total number of seat =?

From the above data, we can liken the roll to be in arithmetic progress.

Also, we are asked to determine the total number of seats in the theater.

Thus the sum of the sequence can be written as:

Roll 1 + Roll 2 + Roll 3 +... + Roll 28 i.e

24 + 27 + 30 +...

Thus, we can obtain obtained the total number of seats in the theater by applying the sum of arithmetic progress formula. This can be obtained as follow:

First term (a) = 24

Common difference (d) = 2nd term – 1st term

Common difference (d) = 27 – 24 = 3

Number of term (n) = 28

Sum of the 28th term (S₂₈) =?

Sₙ = n/2 [2a + (n –1)d]

S₂₈ = 28/2 [2×24 + (28 –1)3]

S₂₈ = 14 [48 + 27×3]

S₂₈ = 14 [48 + 81]

S₂₈ = 14 [129]

S₂₈ = 1806

Thus, the number of seats in the theater is 1806.

6 0
2 years ago
Find the product.<br> (6a + 3b)(a - b)<br> Enter the correct answer.
Musya8 [376]

Answer:

See below.

Step-by-step explanation:

(6a+3b)(a-b)\\

Distribute:

=(6a+3b)(a)-(6a+3b)(b)\\=6a^2+3ab-(6ab+3b^2)\\=6a^2+3ab-6ab-3b^2\\=6a^2-3b^2-3ab

8 0
2 years ago
Read 2 more answers
15 points for the right answer ,,,,!!!!!
Contact [7]
A is true, b is true, but c d aren’t and e is
5 0
3 years ago
Question 7(Multiple Choice Worth 3 points)
Taya2010 [7]

Answer: y = one twelfth(x + 2)2

Step-by-step explanation:

just did the test

3 0
3 years ago
2.85 to the nearest 10
AlekseyPX
It would be 2.9 because if the number to the right of the number your rounding is 5 or higher you round up to the next number. If the number is 4 or lower you round down to a 0.
3 0
3 years ago
Other questions:
  • Use the table to write a linear function that relates y to x.
    6·2 answers
  • The line plot shows how long you read during each reading session last week. What is the total time you read during these sessio
    10·2 answers
  • What is the difference of the two polynomials?<br><br> (7y2 + 6xy) – (–2xy + 3)
    5·2 answers
  • Find the measure of angle x. Round your answer to the nearest hundredth. (please type the numerical answer only) A right triangl
    6·1 answer
  • I need help on this page
    7·1 answer
  • Which is the graph of 4x + 2y &lt;3?<br> 2<br> 4<br> ) Intro<br> Done
    14·1 answer
  • What is 2x-6 = 3x+1-X-7 and you have to regroup/ divide by number next to x?
    5·1 answer
  • Complete the pairs of corresponding parts if RST TXY. ST =
    14·2 answers
  • What is the slope of the line
    10·1 answer
  • Vega swam her leg of the race in 27.98 seconds and Janice swam her leg of the relay race in 25.679 seconds. What was their combi
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!