MATHEMATICS HIGH SCHOOL

The sum of four consecutive odd integers is 328. What are the integers? (show your work)

Answers

Answer 1

Answer:

Answer:

79, 81, 83, and 85

Step-by-step explanation:

x = 1st integer

x+2 = 2nd

x+4 = 3rd

x+6 = 4th

328 = sum

x+x+2+x+4+x+6 = 328

328/4 = 82

The 4 integers are the 2 odd integers on either side of 82 and closest to 82

That would be 79, 81, 83, and 85.

79 + 81 + 83 + 85 = 328

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Solve using logs 5^(3x-6)=125

Answers

$5 ^(3x-6) =125 \n \n 5 ^(3x-6) =5^3 \n \n3x-6 =3 \ \ |+6 \n \n3x=3+9 \n \n3x=12 \ \ /:3 \n \nx=(12)/(3) \n \nx= 3$

45 is 26% of what number?

Answers

45 is 26% of 173.076

Change the percentage into a decimal by dividing the percentage over 100:
$(26)/(100) = 0.26$

Divide 45 by the decimal (0.26):
$45 / 0.26 = 173.076$

2/3 of the pizza was left over from last night. Then, Marcy ate another 2/9 of it. Which of the following statements is true?A.Very little of the pizza is left.
B.About half of the pizza is left.
C.Most of the pizza is left.

Answers

About half of the Pizza is left

Explanation
By subtracting what Marcy ate, i.e 2/9 of 2/3, we get 14/27 to be the remaining pizza. This is about half

I need to know what is 140% of 15

Answers

Something percent of a number is itself*something/100

For instance, 50% of 10 is 10*50/100=10/2=5

Here, $15*(140)/(100)=21$

Final answer:

140% of 15 is calculated by converting the percentage to a decimal (1.4) and then multiplying it by 15, giving a result of 21.

Explanation:

To determine 140% of 15, the process involves converting the percentage to a decimal and multiplying it by the given number. In the first step, 140% is transformed into 1.4 by dividing it by 100. Next, 15 is multiplied by 1.4. Executing this multiplication yields a final result of 21. The calculation follows a two-step procedure: conversion to a decimal and multiplication. This method ensures accurate determination of the desired percentage. In this case, the outcome of 140% of 15 is precisely 21, showcasing the systematic approach used in the mathematical computation.

Learn more about Percentage calculation here:

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A 15-foot pole is leaning against a tree. The bottom of the pole is 8 feet away from the bottom of the tree. Approximately how high up the tree does the top of the pole reach?

A.
17.0 feet

B.
12.7 feet

C.
7.0 feet

D.
1.9 feet

Answers

B. 12.7 because use when i calculated it, it came up to12.69 but when you round the numbers up it will become 12.7

The answer is 12.7 feet. I just took the quiz and got the answer correct.

Given the equation 5x + y = 7, which equation below would cause a consistent-independent system? a.10x+2y=14 b.-15x-3y=-6 c.5x+y=-7 d.6x+2y=7

Answers

I did the test.
The answer is D. 6x + 2y = 7

Answer:

the answer is D.

Step-by-step explanation:

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A ball is thrown upward from the top of a building. The function below shows the height of the ball in relation to sea level, f(t), in feet, at different times, t, in seconds:f(t) = −16t2 + 48t + 100 The average rate of change of f(t) from t = 3 seconds to t = 5 seconds is _____feet per second.