When you add 18 to 1/4 of a number, you get the number itself.

Answers

Answer 1

Answer: $(1)/(4)x +18=x \n 18= -(4)/(1) x+x \n 18= (3)/(4) x\n 24= x$

Answer 2

Answer: $(1)/(4) x+18=x \ \ \ \ \ /*4 \n x+72=4x \ \ \ \ /-x \n 72=3x \n 3x=72 \ \ \ /:3 \n x=24$

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What is 2v+7=3 of this equation

Answers

$2v+7=3 \n\n 2v=3-7 \n\n 2v=-4 \ \ |:2 \n\n \boxed{v=-2}$

2v + 7 = 3
- 7 - 7
2v = - 4
v = - 2

The volume of a greenhous is 150 feet long, 20 feet wide, 10 feet high at the sides, and the 15 feet high in the center what is the cubic feet?

Answers

long=150
wide=20
high=10
volume=l*w*h
=150*20*10=30000which will be divided by 15 to get the cubic feet.
The answer will be 2000.

Suppose that a family wants to start a college fund for their child. If they can get a rate of 5.5% , compounded monthly, and want the fund to have a value of $35,450 after 20 years, how much should they deposit monthly? Assume an ordinary annuity and round to the nearest cent.

Answers

Answer:

They should deposit $81.38 monthly.

Step-by-step explanation:

We know that,

$\text{FV of annuity}=P\left(((1+r)^n-1)/(r)\right )$

where,

FV of annuity = $35,450

P = monthly payment,

r = rate of interest = 5.5% annually = $(5.5)/(12)\%$

n = number period = 20 years = 240 months

Putting all the values,

$\Rightarrow 35450=P\left(((1+(0.055)/(12))^(240)-1)/((0.055)/(12))\right )$

$\Rightarrow P(35450)/(\left(((1+(0.055)/(12))^(240)-1)/((0.055)/(12))\right ))$

$\Rightarrow P=\$81.38$

Therefore, they should deposit $81.38 monthly.

In 20 years a family will be able to earn 35 450 dollars. The interest that they earned is 5.5% compounded monthly. Now, let's find out how much will they need to save monthly to get this amount in 20 year:
=> 12 * 20 = 240 months
=> 35 450 / 240 months = 147.7 dollars per month is the money with interest
Let's subtract the interest
=> 147.7 * 0.055 = 8.1 dollars.
=> 147.7 - 8.1 = 139.6 dollars per month.

What is the domain and range of y=6?

Answers

The domain is "what can I make x equal to, and still get a sensible answer. In this case the equation doesnt depend on x at all so the domain is "All real numbers."

The range is "what are all the sensible values the I can get as an answer for y". In this case we are told: "Y always equals six." So the range is just "Y=6".

Some other ways to wirte the same thing:

Domain: {x|x∈R}
Range: {y|y=6}

Domain: (-∞,∞)
Range: {6}

The domain should be
(-∞, ∞) {y|y ∈ R}
And the range is:
{6}

Yves bought 420 tropical fish for a museum display. He bought 6 times as many parrotfish as angelfish. How many of each type of fish did he buy? Which is a system of equations to model the problem if x represents the number of angelfish Yves bought and y represents the number of parrotfish he bought?

A.
x + y = 6
y = 420x

B.
x + 6y = 420
y = 6x

C.
x – y = 420
y = 6x

D.
x + y = 420
y = 6x

Answers

Given:
420 tropical fishes
angel fish = x
parrot fish = 6x

x + y = 420
y = 6x Choice D.

x + y = 420
y = 6x

x + 6x = 420
7x = 420
x = 420 / 7
x = 60 number of angelfish

y = 6x
y = 6(60)
y = 360 number of parrot fish

Question: Michelle is making goodie bags for Christmas filled with chocolate and candy. Chocolates cost $2.50 per lb and candy cost $3.00 per lb. Michelle spent a total of $40 on 20 lbs of candy. How much of each kind of candy did she purchase ?

Answers

Michelle purchased 5 lbs of chocolates and 5 lbs of candy.

Let assume Michelle purchased x lbs of chocolates and y lbs of candy.

According to the given information,

Michelle spent a total of $40 on 20 lbs of candy.

So, the equation can be set up as:

Equation 1: 2.50x + 3.00y = 40

As, the totalweight of candy is 20 lbs, so we have:

Equation 2: x + y = 15

From equation 2: x = 15 - y

Substitute the value of x= 15 - y into Equation 2 as

2.5(15-y) + 3y = 40

37.5 - 2.5y + 3y= 40

0.5y = 2.5

y= 5

Substituting y= 5 into the second equation

x + 5 = 10

x = 10 -5

x = 5

Thus, 5 lbs of chocolates and 5 lbs of candy were bought.

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The question attached have incorrect values, the correct question is

Michelle is making goodie bags for Christmas filled with chocolate and candy. Chocolates cost $2.50 per lb and candy cost $3.00 per lb. Michelle spent a total of $40 on 15 lbs of candy. How much of each kind of candy did she purchase ?

the answer will be 80

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