Simplify (2n + 5) - (3n + 7) + (4n - 9).
-3n - 11
3n - 11
-3n + 11
3n + 11

Answers

Answer 1

Answer: ☸ We are going to simplify this Step-By-Step. ☸

☸ First here is the question you ask:

2n+5−(3n+7)+4n−9

☸ Lets start with this:

=2n+5+−3n+−7+4n+−9

☸ Now lets Combine Like Terms:
(Pst the bold stuff is for Combining Like Terms)

=2n+5+−3n+−7+4n+−9

=(2n+−3n+4n)+(5+−7+−9)

☸ Your answer shall be:

=3n+−11

☸Hope this helps!☸

hypotenuse = 39m

Step-by-step explanation:

Area of a triangle= 1/2 * base * height

where base = ?

height = 15

Plugin values into the formula:

270 = 1/2 base (15)

base = 270 (2)

base = 36

hypotenuse = √(base² + height²)

= √( 36² + 15² )

= 39

Caitlin had $402 in her bank account. She withdrew $15 each week to pay for a swimming lesson. She now has $237. a. Write an equation that can be used to find the number of swimming lessons that she paid for.

Answers

237+15x=402
-237 -237
0 165
x= 15÷165
x=11
237+15(11)=402
237+165=402

Caitlin paid for 11 swimming lessons, because $402-$15(11 *SL).
*SL=Swimming Lessons

a new motor home costs $89000. It is expected to depreciate 9% each year.Find the value of the motor home in 4 years.

Answers

The function which represents the situation is:

$\boxed{y=89000*(0.91)^t}$

where t is the time in years and y is the depreciated value of the motor.

In 4 yars value will depreciated to:

$y=89000(0.91)^4\n \n y=89000(0.6857)\n \n \boxed{y=US\$ \ 61031.71}$

a thirty pound bag of coffee mixture is to be made from a type of coffee that sells for $9.20 per pound and $11.00 per pound. If the mixture is to have a price of $10.28 how much of each type is included?

Answers

The system is something like this (you get fractional parts):
$x+y=1 \n 9.2x+11y=10.28 \n \n 11x+11y=11 \n 9.2x+11y=10.28 \n 1.8x=.72 \n x=((18)/(25))/((9)/(5))=(18)/(25)*(5)/(9)=(2)/(5)$
You get 2 parts of $9.20 coffee and 3 parts of $11 coffee in the mixture.

city high school had a student reduction and lost 3/4 of its students. if 87 of its students were left after the reduction, how many students wete there originally?

Answers

there were 116 students originally

Which scenario is modeled in the diagram below? Percents Total 75% 25% 100% 25% 25% 25% 25% $55.15 $55.15 $55.15 $55.15 Kaia saved $55.15 on a new guitar because it was 75 percent off. She paid $220.60 for the guitar. Kaia saved $165.45 on a new guitar because it was 75 percent off. She paid $220.60 for the guitar. Kaia saved $55.15 on a new guitar because it was 75 percent off. The price of the guitar before the discount was $220.60. Kaia saved $165.45 on a new guitar because it was 75 percent off. The price of the guitar before the discount was $220.60.