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Ann [662]
3 years ago
10

The ratio of two numbers that add up to 180 is 2:8.find the two numbers

Mathematics
1 answer:
aksik [14]3 years ago
8 0

Answer:

36 and 144

Step-by-step explanation:

Sum the parts of the ratio, 2 + 8 = 10 parts

Divide the sum of the 2 numbers by 10 to find the value of one part of the ratio.

180 ÷ 10 = 18 ← value of 1 part of the ratio, thus

2 parts = 2 × 18 = 36

8 parts = 8 × 18 = 144

Thus 2 numbers are 36 and 144

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Terry spent $33.25 to have 475 fliers printed for his business. What was the cost of a single flier?​
Elanso [62]

Answer:

Step-by-step explanation:

divide 33.25/475 and you'll get 7 cents per flier

4 0
2 years ago
How many students must be randomly selected to estimate the mean weekly earnings of students at one college? We want 95% confide
kari74 [83]

Answer:

The sample of students required to estimate the mean weekly earnings of students at one college is of size, 3458.

Step-by-step explanation:

The (1 - <em>α</em>)% confidence interval for population mean (<em>μ</em>) is:

CI=\bar x\pm z_{\alpha/2}\times \frac{\sigma}{\sqrt{n}}

The margin of error of a (1 - <em>α</em>)% confidence interval for population mean (<em>μ</em>) is:

MOE=z_{\alpha/2}\times \frac{\sigma}{\sqrt{n}}

The information provided is:

<em>σ</em> = $60

<em>MOE</em> = $2

The critical value of <em>z</em> for 95% confidence level is:

z_{\alpha/2}=z_{0.05/2}=z_{0.025}=1.96

Compute the sample size as follows:

MOE=z_{\alpha/2}\times \frac{\sigma}{\sqrt{n}}

       n=[\frac{z_{\alpha/2}\times \sigma }{MOE}]^{2}

          =[\frac{1.96\times 60}{2}]^{2}

          =3457.44\\\approx 3458

Thus, the sample of students required to estimate the mean weekly earnings of students at one college is of size, 3458.

8 0
2 years ago
Ebert used to make $22 an hour, but got a 10% raise. How much more will he make in a 40 hour work week with the raise?
Helen [10]

Answer: $88.00 per week


Step-by-step explanation: 10% of 22 is 2.2.  22 + 2.2 = 24.20 per hour

Multiply 24.20x40hours = 968.00

Multiply 22.00x40 hours =880.00

Subtract 968-880=88.00 his new weekly pay minus his old weekly pay



3 0
2 years ago
Read 2 more answers
A bicycle store costs ​$2250 per month to operate. The store pays an average of ​$40 per bike. The average selling price of each
lesantik [10]

Answer:

75

Step-by-step explanation:

Given That :

Operation cost = $2250 per month

Purchase price per bike = $40

Average selling price per bike = $70

How many bicycles must the store sell each month to break even ;

Break even point = point at which there is net profit / loss = 0

Let number of bicycles store must sell = x

Operation cost + (purchase price * Number of bicycles) = selling price * Number of bicycles

2250 + 40x = 70x

2250 = 70x - 40x

2250 = 30x

x = 2250 / 30

x = 75

To break even 75 bicycles must be sold

5 0
2 years ago
Randy hung a total of 900 feet of Christmas lights on the exterior of his house this past holiday season. If 1 foot equals 30.48
bulgar [2K]

Answer:

900 divided by 30.48 =

Step-by-step explanation:

<u> 0 0. 0 3 3</u>

9 0 0 3 0. 4 8 0

   − 0        

     3 0      

<u>    −   0   </u>  

     3 0 4    

<u>    −     0 </u>  

     3 0 4 8  

<u>    − 2 7 0 0 </u>

       3 4 8 0

     − <u>2 7 0 0</u>

         7 8 0

Your answer is now many

Branlist plz

5 0
3 years ago
Read 2 more answers
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