MATHEMATICS HIGH SCHOOL

-2(x + 3)
Simplify expression

Answers

Answer 1

Answer:

Answer:

I'm pretty sure the answer is -2x -6

Answer 2

Answer: ANSWER: -2x - 6

EXPLANATION: distribute the -2 to whats in the parentheses.

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Logan is a salesperson who sells computers at an electronics store. He is paid a $1.25 commission for every computer sale he makes and he also makes a guaranteed base pay of $80 each day. Write an equation for P, in terms of x, representing Logan's total pay on a day on which he sells x computers.

Answers

Final answer:

The equation for Logan's total pay on a day he sells x computers is P = 80 + 1.25x.

Explanation:

To represent Logan's total pay on a day he sells x computers, we need to consider his base pay and commission. Logan's base pay is $80 per day. Additionally, he earns a commission of $1.25 for each computer he sells. Therefore, the equation for P, representing Logan's total pay, can be written as:

P = 80 + 1.25x

Learn more about Logan's total pay equation here:

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p=1.25x + 80

p is the pay and the 1.25 depends on how much computers he sells but he gets at least 80$ for his paycheck

Nth term question help please

Answers

Answer:

$\displaystyle{a.) \ \ a_n = -2n+14}\n\n\displaystyle{b.) \ \ a_n = -5n+30}$

Step-by-step explanation:

Part A

The common difference is -2 as the sequence decreases down to 2 each. Thus, the sequence is an arithmetic sequence. To find the nth term of an arithmetic sequence, we can follow the formula:

$\displaystyle{a_n = a_1+\left(n-1\right)d}$

Where $a_n$ is the nth term, $a_1$ is the first term, and $d$ is the common difference which we know that it is -2. By substitution of values we know, we will have:

$\displaystyle{a_n = 12+\left(n-1\right)\left(-2\right)}\n\n\displaystyle{a_n = 12-2n+2}\n\n\displaystyle{a_n = -2n+14}$

Hence, the nth term of the sequence is $\displaystyle{\bold{a_n = -2n+14}}$

Part B

The common difference is -5 as the sequence decreases by 5 each. This also makes the sequence an arithmetic sequence. Thus, we can apply the same formula as we did previously. By substitution of known values, we will have:

$\displaystyle{a_n = 25+\left(n-1\right)\left(-5\right)}\n\n\displaystyle{a_n = 25-5n+5}\n\n\displaystyle{a_n = -5n+30}$

Hence, the nth term of the sequence is $\displaystyle{\bold{a_n = -5n+30}}$

Toilet rolls come in packs of 4 and 9the 4 pack is priced at 2.04 pound
the 8 pack is prices at 3.68 pound
by calculating the price per roll, determine which pack is better value.
show your working

Answers

Answer:

8 pack.

Step-by-step explanation:

For the 4 pack, price per roll = 2.04 / 4 = £0.51

For the 8 pack, price per roll = 3.68 / 8 = £0.46.

Diana ran a quarter mile straight down the street.becky ran a quarter mile on the track.who ran more?

Answers

neither they both ran a quarter mile

Rotating a triangle by 50 degrees will change the measures of the exterior angles by _________.A. -50 degrees
B. 50 degrees
C. 0 degrees

Answers

c it will not change its still a triangle

In an orchestra the ratio of trombones to violas is 1 to 3.a. There are 9 violas. write a proportion that gives the number t of trombones in the orchestra.
b. How many trombones are in the orchestra? Please help, I'm in 8th grade! (:Thank youu..

Answers

Answer:

Givens

The ratio of trombones to violas is 1 to 3, that is, for every trombone there are 3 violas. $(t)/(v)=(1)/(3)$

So, if there are 9 violas, the number of trombones is three, because 9 violas represents a triple proportion, which means we need to multiply by 3 to find the number of trombones according to the given proportion.

$(t)/(9)=(1)/(3)\nt=(9)/(3)\n t=3$