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3 years ago

Which would be the correct representation of "Find two consecutive integers whose product is 132"? *

Mathematics

1 answer:

lora16 [44]3 years ago

3 0

Answer:

It is impossible to have two consecutive integers add up to an even number.

Step-by-step explanation:

x + (x + 1) = 132

2x + 1 = 132

2x = 132

x = 65.5

We can't get two consecutive integers to add up to an even number, as two consecutive integers will always be an odd number and an even number will always add up to an odd number, which 132 is not.

You can of course get two numbers that are 1 apart, and those would be 65.5 and 66.5, but those are not integers.

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How many solutions does the system have? y=−2x−4 y=3x+3

Molodets [167]

Answer:

One Solution

Step-by-step explanation:

First substitute the y in the first equation with the second equation to get

-2x-4=3x+3

since theres a variable of both sides, you subtract the variable with the least coefficient, in this case, you add 2x to both sides to get

-4=5x+3

subtract the constant on both sides to get

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divide both sides by 5

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3 years ago

Read 2 more answers

An arts academy requires there to be teachers for every students and for every . How many students does the academy have per te

nikitadnepr [17]

This question is incomplete

Complete Question

An arts academy requires there to be 6 teachers for every 132 students and 4 tutors for every 44 students. How many students does the academy have per teacher? Per tutor? How many tutors does the academy need if it has 132 students?

Answer:

a)How many students does the academy have per teacher?

22 students per teacher

b) Per tutor?

11 students per tutor

c) How many tutors does the academy need if it has 132 students?

12 tutors

Step-by-step explanation:

a)How many students does the academy have per teacher?

6 teachers = 132 students

1 teacher = x

6 × x = 132 × 1

x = 132 × 1/6

x = 22 students

Hence, we have 22 students per tutor

b) Per tutor?

4 tutors = 44 students

1 tutor = x students

Cross Multiply

4 × x = 1 × 44

x = 44/4

x = 11 students

Hence, we have 11 students per tutor

c) How many tutors does the academy need if it has 132 students?

44 students = 4 tutors

132 students = x tutors

Cross Multiply

44 × x = 132 × 4

44x = 132 × 4

x = 132 × 4/44

x = 12 tutors

The academy needs 12 tutors if they have 132 students.

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3 years ago

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Answer:

The Correct Option is Second one 108°.

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Step-by-step explanation:

Given:

A Regular Pentagon.

Accordingly, for a Pentagon, the total of the internal angles is given by,

$\textrm{Total Measure Internal Angles}=(5-2)\times 180\° = 3\times 180\°= 540\°$

In case of a regular Pentagon, all internal angles are equal.

Hence, divide the total above by 5.

$\textrm{Measure of each angle of regular Pentagon}=\dfrac{540}{5}=108\°$

Hence, the measure of each internal angle of a regular Pentagon is 108°.

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