All categories

3 years ago

A college surveys local businesses about the

Mathematics

1 answer:

Mrrafil [7]3 years ago

7 0

Answer:

approximately 54.7% did not respond.

Step-by-step explanation:

Consider the provided information.

The college chooses 150 businesses at random from telephone listings.

Of these, 68 return the questionnaire.

That means 68 of them responded.

The number of people who did not respond are:

150-68=82

The number of people who did not respond are 82.

Now find the percentage of people who did not respond.

$\frac{82}{150}\times 100 \approx 54.7\%$

Hence, approximately 54.7% did not respond.

You might be interested in

A candy company has 150 kg of chocolate-covered nuts and 90 kg of chocolate-covered raisins to be sold as two different mixes. O

Westkost [7]

Answer:

1. 7x + 9.5y

2. 1980

Step-by-step explanation:

In Mix A, there is an equal amount of nuts and raisins.

Let x = kg of nuts = kg of raisins.

In Mix B, there is 3 times as much nuts as raisins.

Let y = kg of raisins, then 3y = kg of nuts.

We have this information:

Nuts Raisins Price

mix A x + x = $ 7.00

mix B 3y + y = $ 9.50

Total: 150 90

Hence, the number of kilograms of each mix should company prepare for the maximum revenue is = 7x + 9.5y

We have these inequalties:

{x≥0y≥0x+3y≤150x+y≤90} (equation 1)

There will be

x+x=2x kg of Mix A at $7.00 per kg.

The revenue from Mix A is:

7(2x)=14x dollars.

There will be

3y+y=4y kg of Mix B at $9.50 per kg.

The revnue from Mix B is:

9.5(4y)=38y dollars.

Hence, the total revenue is:

R=14x+38y (equation 2).

Graph the region determined by [1] and locate its vertices.

You should get:

(0,0),(90,0),(0,50),(60,30)

Test the vertices into [2] and see which vertex produces maximum revenue

(0,0): R=14(0)+38(0)=0 Minimum revenue

(90,0):R=14(90)+38(0)=1260

(0,50): R=14(0)+38(50)=1900

(60,30):R=14(60)+38(30)=1980 Maximum revenue.

3 0

3 years ago

gas prices decreased this week from $4 per gallon to 3.80 dollars per gallon what is the percent decrease

evablogger [386]

Answer: 5%

Is the percentage

5 0

2 years ago

Read 2 more answers

if your car gets 26 miles per gallon how much does it cost to drive 420 miles when gas is $2.80 per gallon

Kitty [74]

Answer:

$45.22

Step-by-step explanation:

The number of miles per gallon can be represented by the ratio:

$\frac{miles}{gallon}=\frac{26}{1}$

Since we know the unit rate of 26 miles per gallon of gas, we can set up a proportion, or equivalent ratios, to find the number of gallons needed for 420 miles:

$\frac{26}{1}=\frac{420}{x}$ , where 'x' is the number of gallons of gas

cross-multiply and divide: 26x = 420 or x ≈ 16.15 gallons

If gas is $2.80 per gallon, take the total number of gallons needed and multiply by $2.80:

16.15 x $2.80 = $45.22

5 0

3 years ago

Factor the expression using the GCF<br> 42+14

melomori [17]

14 is the answer sorry if I get it wrong :/

6 0

3 years ago

The mark up on an item is $3.75. If the mark up is 35%, what was the original price? Round

oksian1 [2.3K]

Answer:

$10.71

Step-by-step explanation:

$\frac{3.75}{y} =\frac{35}{100}$

y × 35 = 3.75 × 100

35y = 375

35y ÷ 35 = 375 ÷ 35

$y=10\frac{5}{7}$

y = 10.7142857143

10.7142857143 round to 10.71

5 0

2 years ago