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4 years ago

Finding the slope of a line

1 answer:

6 0

Answer: To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points .

Step-by-step explanation:

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How do I find the Sales Tax with the price and the percent of the sales tax?

-Dominant- [34]

Well you need to convert the percentage into a decimal . E.g: if the tax was 7% it would be 0.7 in decimal form. Then , you need to multiply your decimal by the priced the product. Whatever that number is, is your tax. Add your tax to the price of the product and you have successfully found your whole price.

3 0

4 years ago

Rita spent 50 hours making a set of ceramic tiles.her client paid her $800.how much did Rita make per hour

timurjin [86]

Answer: $16 per hour

Step-by-step explanation: To find out Rita's hourly wage we have to divide her salary by the number of hours she worked.

Therefore, we must divide 800 by 50 which guves us 16.

Therefore, Rita's hourly wage is $16 per hour

6 0

4 years ago

Read 2 more answers

If P(not event B) = 0.95, what is P(event B)?

zysi [14]

Answer:

0.05

Step-by-step explanation:

To find P(event b) you would do 1- P(not event B) which in this problem would be seen as 1-(0.95)= 0.05

6 0

4 years ago

Read 2 more answers

A change purse contains 16 coins. The coins are nickels, dimes, and quarters. The value of the change is $2.10. The number of di

elixir [45]

Taking into account the definition of a system of linear equations, there are 6 quarters in the change purse.

<h3>System of linear equations</h3>

A system of linear equations is a set of two or more equations of the first degree, in which two or more unknowns are related.

Solving a system of equations consists of finding the value of each unknown so that all the equations of the system are satisfied. That is to say, the values of the unknowns must be sought, with which when replacing, they must give the solution proposed in both equations.

<h3>Amount of quarters in the change purse</h3>

In this case, a system of linear equations must be proposed taking into account that:

N in the amount of nickels in the change purse.
D in the amount of dimes in the change purse.
Q in the amount of quarters in the change purse.

On the other hand, you know:

A change purse contains 16 coins.
The value of the change is $2.10.
The number of dimes is 4 fewer than the number of quarters.

The system of equations to be solved is

Equation 1: N + D + Q= 16

Equation 2: 0.05N + 0.10D + 0.25Q= 2.10

Equation 3: D= Q - 4

There are several methods to solve a system of equations, it is decided to solve it using the substitution method, which consists of clearing one of the two variables in one of the equations of the system and substituting its value in the other equation.

Substituting equation 3 into equation 1 you get:

N + Q - 4 + Q= 16 → N +2Q= 16 +4 → N + 2Q= 20

Isolating the variable N you get:

N= 20 - 2Q

Replacing this expression and equation 3 in equation 2 you get:

0.05×(20 -2Q) + 0.10×(Q -4) + 0.25Q= 2.10

Solving:

0.05×20 - 0.05×2Q + 0.10Q - 0.10×4 + 0.25Q= 2.10

1 - 0.10Q + 0.10Q - 0.40+ 0.25Q= 2.10

- 0.10Q + 0.10Q + 0.25Q= 2.10 -1 +0.40

0.25Q= 2.10 -1 +0.40

0.25Q= 1.50