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3 years ago

What is the value of n in the equation 1/2(n – 4) – 3 = 3 – (2n + 3)?

2 answers:

6 0

$\frac{1}{2} (n - 4) - 3 = 3 - (2n + 3) \\\\ \frac{1}{2}n - 2 - 3 = 3 -2n - 3 \\\\ \frac{1}{2}n - 5 = -2n \\ \\ \frac{1}{2}n+2n=5 \\ \\ 2 \frac{1}{2} n=5 \\ \\ n=5: 2\frac{1}{2} = 5 \cdot \frac{2}{5} \\\\ \boxed{n= 2}$

Nikolay [14]3 years ago

6 0

1/2(n - 4) - 3 = 3 - (2n + 3)
Distribute the 1/2 and the negative sign.
1/2n - 2 - 3 = 3 + (-2n) - 3
Subtract the -2 and 3
1/2n - 5 = 3 + (-2n) - 3
Add the 3's
1/2n - 5 = -2n
Add 2n to both sides
5/2n − 5 = 0
Add 5 to both sides
5/2n = 5
Multiply both sides by 2/5

n = 2

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The bill is $100.99. You want to leave a 20% tip. How much should the tip be?

Arisa [49]

Answer:

$20.20

Step-by-step explanation:

First Convert 20% into a decimal, by dividing it by 100

Percent = out of 100

20/100 = 0.2

Now, multiply the decimal (0.2) with the bill amount ($100.99):

0.2*100.99

$20.198 <== *remember, we are using money, so we round to the nearest cent (dime)

$20.20 <== how much tip you want to leave

How much you pay altogether:

(Bill + tip)

100.99 + 20.20

$121.19

Hope this helps!

8 0

2 years ago

You must calculate the number of sheets of plywood needed for subflooring. Each sheet of plywood measures 4'by 8. The measuremen

snow_lady [41]

Answer:

25 sheets of plywood will be needed

Step-by-step explanation:

Each sheet of plywood measures $4ft*8ft=32ft^{2}$ .

We have to cover the surface of the house, minus the surface of the hole of the stairs.

$Surface _{to cover} = Surface _{house} -Surface _{hole}= (28ft*30ft)-(12ft*4ft)= 840ft^{2}-48ft^{2}=792ft^{2}$

To know how many sheets will be needed, we divide the surface to be covered by the surface of each sheet

$Sheets_{needed} =\frac{Surface _{house}}{Surface _{sheet}} =\frac{792ft^{2}}{32\frac{ft^{2}}{sheet} } = 24,75 sheets$

As we can't buy 0,75 of a sheet, we round it up, i.e. we will need 25 sheets of plywood for subflooring.

8 0

3 years ago

Erin writes the expression “ $6$ less than double a number.”

bixtya [17]

For this case we must algebraically rewrite the given expression. So:

x: It is the variable that represents an unknown number

"double a number" is represented as: $2x$

"6 less than double a number" is represented as: $2x-6$

So, the final expression is: $2x-6$

If we want to rewrite the expression in an equivalent way, we take common factor 2:

$2 (x-3)$

Asnwer:

$2x-6$

Equivalent expression: $2 (x-3)$

3 0

3 years ago

What is the value of b2 - 4ac for the following equation?<br><br> 2x2 + 3x = -1

andreyandreev [35.5K]

The value of b^2-4ac is known as the discriminant of a quadratic function, and can tell you how many roots exist of this function depending on what it is equal to.

Start by moving the -1 to the other side, as we need this function to equal zero.

2x^2 + 3x + 1 = 0

This is now the standard form ax^2 + bx + c = 0. Plug each value that corresponds into the discriminant equation.

b^2-4ac
(3)^2 - 4(2)(1)
9 - 8
1

The value of the discriminant is 1, meaning that two real roots exist for the function described.

7 0

3 years ago

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NikAS [45]

Your friend runs 5 3/4

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3 years ago

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