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sweet-ann [11.9K]
2 years ago
14

One number exceeds another number by 11. The sum of the numbers 77. What are the numbers?

Mathematics
1 answer:
monitta2 years ago
7 0
One number (a) exceeds another number (b) by 11 so
a = b+11
a + b = 77

Substitute the equation for a into the second equation
(b+11) + b = 77
multiply each side by 1 to remove parentheses
b + 11 + b = 77
Combine like terms
2b + 11 = 77
Isolate the variable
2b = 77-11
Simplify
2b = 66
Divide by 2
b = 33
Now substitute b back into the initial equation for a
a = (33) + 11
a = 44

Check your work by substituting both values into the second equation
44 + 33 = 77
This is true, so 44 and 33 are solutions
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The sum of three consecutive integers is −42. find the three integers.
erica [24]
Let the integers be x - 1, x and x + 1, then
x - 1 + x + x + 1 = -42
3x = -42
x = -42/3 = -14

The three consectutive integers are -15, -14 and -13
4 0
3 years ago
Suppose the goal for mr. Luockwoods class had been 250 cans. Then 550 cans would have been what percent of the goal?
ser-zykov [4K]

220% of the goal. This is because 500 cans would be 200% but since it’s 550, the extra 50% would equal to 220%.

3 0
3 years ago
Allison measured a line to be 19.4 inches long. If the actual length of the line is 19.1
Lelu [443]

It can be noted that the percentage error made by Allison will be 1.6%

<h3>How to solve the percentage</h3>

From the information given, Allison measured a line to be 19.4 inches long and the actual length of the line is 19.1.

Therefore, the percentage error will be:

= (19.4 - 19.1)/19.1 × 100

= 0.3/19.1 × 100

= 1.6%

In conclusion, the correct option is 1.6%.

Learn more about percentages on:

brainly.com/question/24304697

5 0
3 years ago
Answer the right question
SVETLANKA909090 [29]

Answer:

ok

Step-by-step explanation:

3 0
3 years ago
Ricky is taking out a personal loan for $12,000 to remodel his kitchen. He would like the lowest monthly payment possible, even
SSSSS [86.1K]

Let me help you, but first I will explain the formula used to calculate monthly compound interest.

The formula used to calculate compound monthly compound interest is

a=p(1+r/n)^nt

P Represents the principal

R Represents the rate (in decimal)

N is basically 12 months

T Represents the time (in years)

Let's plug the numbers in.

First statement

"His bank has offered him a loan at 13% interest for 36 months"

12000(1+.13/12)^(12)(3)

12000(1+.13/12)^(12)(3) = $17,686.64

Second statement

"12% interest for 60 months"

Plug in the numbers into the formula.

12000(1+.12/12)^(12)(5)

12000(1+.12/12)^(12)(5) = 21,000.36

<u>Answer</u>

The answer would be "13% interest for 36 months" as it is much lower compared to the other statement.

3 0
3 years ago
Read 2 more answers
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