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2 years ago

What is the answer to -2n + 6 = 12

Mathematics

2 answers:

lions [1.4K]2 years ago

6 0

-2n + 6 = 12

-2n = 12 - 6

-2n = 6

n = 6 ÷ -2

n = -3

Pepsi [2]2 years ago

4 0

N= -3 you can check it

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Whats the answer to this?

mina [271]

instead of P+2x = y it should be P-2x=y

so then it is P-2x/2 =y

6 0

3 years ago

An assembly line produces 2 toasters per minute. It is 2:00pm and the line has finished 560 out of its goal of 900 for the day.

LenaWriter [7]

Answer:

I won't stop the line for a half hour break.

Step-by-step explanation:

Proportions

One quantity A is said to be proportional to other B if A can always be obtained by multiplying or dividing B by any constant number. Numbers {4,8,12} are proportional to {2,4,6} because they can be computed as twice their value

There is a situation described in the problem where we need to know if there will be enough time to produce the 900 toasters (the goal for the day) when the assembly line is stopped by half an hour.

Actual time: 2:00 pm

Final time: 5:00 pm

Rate of production: 2 toasters/minute

Actual production: 560 toasters

Updated goal: 900-560 = 340 toasters

Those 340 toasters must be produced in the remaining 3 hours (180 minutes) of work. If the assembly line stops for half an hour (30 minutes), there will be only 150 minutes to finish the goal production. At a rate of 2 toasters/minute, there will be 2*150 = 300 toasters produced. But we need to produce 340 more toasters, so that break cannot be granted or we'll be 40 toasters under goal.

It the line keeps producing for 180 minutes, it would produce 2*180 = 360 toasters, 20 more than the goal.

Note: The maximum break time that can be granted is 20/2 = 10 minutes

4 0

3 years ago

Use the principle of inclusion and exclusion to find the number of positive integers less than 1,000,000 that are not divisable

wel

This is a simple problem based on combinatorics which can be easily tackled by using inclusion-exclusion principle.
We are asked to find number of positive integers less than 1,000,000 that are not divisible by 6 or 4.
let n be the number of positive integers.
∴ 1≤n≤999,999
Let c₁ be the set of numbers divisible by 6 and c₂ be the set of numbers divisible by 4.
Let N(c₁) be the number of elements in set c₁ and N(c₂) be the number of elements in set c₂.

∴N(c₁) = $\frac{999,999}{6} = 166666$
N(c₂) = $\frac{999,999}{4} = 250000$
∴N(c₁c₂) = $\frac{999,999}{24} = 41667$
∴ Number of positive integers that are not divisible by 4 or 6,

N(c₁`c₂`) = 999,999 - (166666+250000) + 41667 = 625000
Therefore, 625000 integers are not divisible by 6 or 4

8 0

3 years ago

3 x 104 + 2.5 x 105 = A. 0.5 x 105 B. 2.8 x 105 C. 3.25 x 105 D. 5.5 x 109

WITCHER [35]

Answer:

574.5 A) 52.5 B) 294 C) 341.25 D) 599.5

Step-by-step explanation:

3*104+2.5*105=312+262.5=574.5

A) 0.5*105=52.5

B) 2.8*105=294

C) 3.25*105=341.25

D) 5.5*109=599.5

6 0

3 years ago

Fifty people were surveyed about their favorite flavor of frozen yogurt. The results of the survey are displayed in the circle g

Ksju [112]

The answer is 2. This is because 2 = 4% of 50.

You can think of it like this:

4 is 4% of 100.

50 is half of 100.

Therefore, 4% of 50 is HALF of 4% of 100.

4 divided by 2 = 2

4 0

2 years ago