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3 years ago

Billy wants to hire a plumber to fix a faucet at his house. The plumber charges $125 initial fee and $85 per hour he is working.

Mathematics

1 answer:

o-na [289]3 years ago

4 0

Answer:

85x + 125 = y

Step-by-step explanation:

Let x = the amount of hours worked

Let y = the total cost to pay for this plumber

85 is the hourly pay so we multiply by the amount of hours worked to find the cost per hours. We then add that to the initial cost of 125 and we get the total cost.

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the numbers of girls in the choir is 4 times the number of boys in the choir .the total number of students is 60..how many girls

Inessa05 [86]

First, make up some variables to represent the number of Girls and Boys in the choir.

B = number of boys
G = number of girls

You know that there are 4 times as many girls in the choir as boys. Therefore, the equation you can write is:
$\frac{B}{G} = \frac{1}{4}$

If you cross-multiply, then you get the simplified equation:
G = 4B

Intuitively this makes sense since if you multiplied the number of boys in the class by 4, that would be equal to the number of girls you have.

Now, we know that the total class size is 60. So girls plus boys equals 60:
G+B = 60

To solve the equation, replace the G in this equation with the replacement you found before, 4B.
G + B = 60 -->
4B + B = 60 -->
5B = 60 -->
B = 12

However, you are trying to find the number of girls, so plug the answer back into your equation.
G + B = 60 -->
G + 12 = 60 -->
G + 12 -12 = 60 - 12 -->
G = 48

The number of girls you have is 48.

6 0

3 years ago

Michmoo Computer Company sells computers and computer parts by mail. The company assures its customers that products are mailed

Anastaziya [24]

Answer: (60.858, 69.142)

Step-by-step explanation:

The formula to find the confidence interval for mean :

$\overline{x}\pm z_c\dfrac{\sigma}{\sqrt{n}}$ , where $\overline{x}$ is the sample mean , $\sigma$ is the population standard deviation , n is the sample size and $z_c$ is the two-tailed test value for z.

Let x represents the time taken to mail products for all orders received at the office of this company.

As per given , we have

Confidence level : 95%

n= 62

sample mean : $\overline{x}=65$ hours

Population standard deviation : $\sigma=18$ hours

z-value for 93% confidence interval: $z_c=1.8119$ [using z-value table]

Now, 93% confidence the mean time taken to mail products for all orders received at the office of this company :-

$65\pm (1.8119)\dfrac{18}{\sqrt{62}}\\\\ 65\pm4.142\\\\=(65-4.142,\ 65+4.142)\\\\= (60.858,\ 69.142)$

Thus , 93% confidence the mean time taken to mail products for all orders received at the office of this company : (60.858, 69.142)

8 0

3 years ago

BRANILIEST ANSWER GETS ALOT OF POINTS I NEED HELP PLZZ

yulyashka [42]

For this problem, I'd use cross-multiplication.

9/12 = x/8.

When cross multiplying, multiply 12*x and 9*8. This leads to a new equation:

12x = 72.

Then you solve as an algebra problem.

*Divide 12 on both sides*

x = 6.

6 0

3 years ago

I need the answer for number 10 please!

Vera_Pavlovna [14]

Answer:

3x + 4y = 833

6x + 4y = 1058

II - I

3x = 225 --> x = 75

3*75 + 4y = 833 --> y = 152

6 0

3 years ago

I’ll mark you brilliant!!!!!!!Iftheequationofalineis2x+y=6,whatistheslope?

Nonamiya [84]

Answer:

answer below

Step-by-step explanation:

2. The slope is 4

3. The slope is 3.

4. the slope is 14.

5. She reads 2100 pages in x hours

6 0

3 years ago