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
Karo-lina-s [1.5K]
2 years ago
11

There are 2 numbers and the sum of those numbers are 40 and the difference of those numbers is 10 what are the numbers that equa

l the sum and difference
Mathematics
2 answers:
mojhsa [17]2 years ago
5 0

Answer:

15 and 25

Step-by-step explanation:

15+25=40

10+20=30+5+5=10+30=40

stepladder [879]2 years ago
4 0

Answer:one number is 15 and the other number is 25

Step-by-step explanation:

Let x represent one of the numbers.

Let y represent the other number.

There are 2 numbers and the sum of those numbers are 40. This means that

x + y = 40 - - - - - - - -1

The difference of those numbers is 10. This means that

x - y = 10 - - - - - - - - -2

We would eliminate x by subtracting equation 2 from equation 1, it becomes

2y = 50

y = 50/2 = 25

Substituting y = 25 into equation 1, it becomes

x + 25 = 40 - 25 = 15

You might be interested in
What is 0.015 x 1.5=
alukav5142 [94]
The answer is 0.0225
7 0
3 years ago
If m= 8, then evaluate 2(m+3)/11​
Ymorist [56]

Answer:

2

Step-by-step explanation:

Substitute m=8 into the equation

Firstly deal with the bracket

then multiplication

then division

2(11)/11

8 0
3 years ago
Read 2 more answers
Use mathematical induction to prove the statement is true for all positive integers n, or show why it is false:
kondaur [170]
\text{Proof by induction:}
\text{Test that the statement holds or n = 1}

LHS = (3 - 2)^{2} = 1
RHS = \frac{6 - 4}{2} = \frac{2}{2} = 1 = LHS
\text{Thus, the statement holds for the base case.}

\text{Assume the statement holds for some arbitrary term, n= k}
1^{2} + 4^{2} + 7^{2} + ... + (3k - 2)^{2} = \frac{k(6k^{2} - 3k - 1)}{2}

\text{Prove it is true for n = k + 1}
RTP: 1^{2} + 4^{2} + 7^{2} + ... + [3(k + 1) - 2]^{2} = \frac{(k + 1)[6(k + 1)^{2} - 3(k + 1) - 1]}{2} = \frac{(k + 1)[6k^{2} + 9k + 2]}{2}

LHS = \underbrace{1^{2} + 4^{2} + 7^{2} + ... + (3k - 2)^{2}}_{\frac{k(6k^{2} - 3k - 1)}{2}} + [3(k + 1) - 2]^{2}
= \frac{k(6k^{2} - 3k - 1)}{2} + [3(k + 1) - 2]^{2}
= \frac{k(6k^{2} - 3k - 1) + 2[3(k + 1) - 2]^{2}}{2}
= \frac{k(6k^{2} - 3k - 1) + 2(3k + 1)^{2}}{2}
= \frac{k(6k^{2} - 3k - 1) + 18k^{2} + 12k + 2}{2}
= \frac{k(6k^{2} - 3k - 1 + 18k + 12) + 2}{2}
= \frac{k(6k^{2} + 15k + 11) + 2}{}
= \frac{(k + 1)[6k^{2} + 9k + 2]}{2}
= \frac{(k + 1)[6(k + 1)^{2} - 3(k + 1) - 1]}{2}
= RHS

Since it is true for n = 1, n = k, and n = k + 1, by the principles of mathematical induction, it is true for all positive values of n.
3 0
3 years ago
4 times a number plus 4 is twice the number​
nekit [7.7K]

Answer:

idk go back to 5th grade you might learn how to add but for ur answer is 8

Step-by-step explanation:

7 0
3 years ago
A corn vendor at a farmers market was selling a bag of 8 ears of corn for $2.56.Another vendor was selling a bag of 12 for $4.32
ankoles [38]

To decide which one is the better deal, you need to compare them on price per ear. So, the the first vendor is $2.56/8ears= $0.32/ear

the second vendor: $4.32/12 = $0.36/ear

The first vendor with the bag of 8 ears is the better deal!

5 0
2 years ago
Read 2 more answers
Other questions:
  • Solve the proportion
    14·1 answer
  • Please help me, you have to simply it
    12·1 answer
  • Write an equation of the line that passes through the points (1, 2) and (14, 2)
    11·1 answer
  • Tina spent 3/5 of her paycheck on a trip to the beach. She spent 3/8 of her paycheck on new clothes for the trip. What fraction
    12·1 answer
  • What is the sum of the infinite geometric series 1 - 1/2 + 1/4 - 1/8 + 1/16​
    9·1 answer
  • Lolita deposited 500 in her savings account that earns 5% intrest compounded anually. She forgot about it until now, 15 years la
    5·1 answer
  • How to factor quadratics like <br> 2<br> 3x^+31x+36
    14·2 answers
  • Ramos went to a pizza shop and spent half of his money on lunch. If Ramos had $4.50 left after lunch,how much money did he have
    8·2 answers
  • The true length of recovery for patients with knee surgery is normally distributed with a mean of 123 days and a standard deviat
    15·1 answer
  • Pat said that the amount of money he has in his pocket is greater than or equal to $5.75 but less than $13.00. Which number line
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!