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2 months ago

Guest #4973

2 months ago

Suppose the side parallel to the open side be y m and each of the other two sides be x m

thus

2x+y=52

hence

y=52-2x

area is given by:

area=xy

x(52-2x)=240

re-writing the above we get

-2x^2+52x-240=0

x^2-26x+120=0

factoring the above we get:

(x-20)(x-6)=0

thus

x=20 or x=6

if x=20, then y=52-40=12

if x=6, then y=52-12=40

thus

2x+y=52

hence

y=52-2x

area is given by:

area=xy

x(52-2x)=240

re-writing the above we get

-2x^2+52x-240=0

x^2-26x+120=0

factoring the above we get:

(x-20)(x-6)=0

thus

x=20 or x=6

if x=20, then y=52-40=12

if x=6, then y=52-12=40

Question

In a poll of students at basketball champoin 82% of the students say that basketball is better than fottball.

Solution 1

69 for sure. Too easy give me something harder

Question

If the price of tape is $10.00 for 8 rolls, how much does one roll cost? a. $1.40
b. $2.10
c. $1.15
d. $1.25

Solution 1

$1.25 is the answer

10/8=1.2 working out

10/8=1.2 working out

Solution 2

If you divided $10.00Ã·8 is (D) $1.25

Question

A circular rim 28 inches in diameter rotates the same number of inches per second as a circular rim 35 inches in diameter. if the smaller rim makes x revolutions per second, how many revolutions pe

Solution 1

1 revolution of a circle = circumference of that circle.

1 revolution of a circle with the diameter of 28 inches =Â Ï€d=28Ï€Ï€d=28Ï€Â inches. Hence, x revolutions per second =Â 28Ï€x28Ï€xÂ inches per second =Â 60âˆ—28Ï€x60âˆ—28Ï€xÂ inchesÂ per minute.

Given thatÂ 60âˆ—28Ï€x=35Ï€n60âˆ—28Ï€x=35Ï€nÂ -->Â n=60âˆ—28Ï€x35Ï€=48xn=60âˆ—28Ï€x35Ï€=48x.

1 revolution of a circle with the diameter of 28 inches =Â Ï€d=28Ï€Ï€d=28Ï€Â inches. Hence, x revolutions per second =Â 28Ï€x28Ï€xÂ inches per second =Â 60âˆ—28Ï€x60âˆ—28Ï€xÂ inchesÂ per minute.

Given thatÂ 60âˆ—28Ï€x=35Ï€n60âˆ—28Ï€x=35Ï€nÂ -->Â n=60âˆ—28Ï€x35Ï€=48xn=60âˆ—28Ï€x35Ï€=48x.

Question

Students should not file the profile any later than ____weeks after the earliest priority date specified by the college or the program

Solution 1

Students should not file the profile any later than ** TWO** weeks after the earliest priority date specified by the college or the program.

The deadline that is given by most schools and universities to file the profile is about 2 weeks or 15 days or a fortnight. This needs to be done well before the deadline so that the school can give you the estimated financial aid package in case you are accepted to the school

Solution 2

Students should not file the profile any later than two weeks after the earliest priority date specified by the college or the progarm.

Question

A biology class of 24 students decides to measure the height of each student and then calculate the average height for the class. which of these is a possible source of error in this activity?

Solution 1

Answer: The possible source of error in this activity is " **the accuracy of making and recording measurements" **

The height of each and every student in the class has to be taken very accurately. Even if there was a single error in either making the calculation or even recording it, the average height will take a hit and will result in the entire exercise being a failure.

Hence, itâ€™s very important to accurately measure the height and record and even have a second person do the same activity so that the numbers recorded are accurate.

Solution 2

the accuracy of making and recording measurements.

Question

A bathtub can be filled in 8 min. it takes 12 min for the bathtub to drain. if the faucet is turned on but the drain is also left open, how long will it take to fill the tub?

Solution 1

Time taken to fill the bathtub is 8 min

time taken to drain the bathtub is 12 min

fraction of bathtub filled in 1 hour=1/8

fraction of bathtub drained in 1 hour=1/12

fraction that will be filled in a minute given that both taps are opened at he same time:

1/8-1/12

=1/24

thus time taken for the bathtub to be filled is 24 min

time taken to drain the bathtub is 12 min

fraction of bathtub filled in 1 hour=1/8

fraction of bathtub drained in 1 hour=1/12

fraction that will be filled in a minute given that both taps are opened at he same time:

1/8-1/12

=1/24

thus time taken for the bathtub to be filled is 24 min

Question

Three numbers are in the ratio of 6:5:1. What are the numbers if the difference between the smallest and largest is 30? a.48, 40, 18B.36, 30, 6
c.24, 20, 4D.180, 150, 30

Solution 1

Given that the ratios between 3 numbers is 6:5:1 and the difference between the largest and the smallest number is 30, then the numbers will be as follows:

difference in ratio between large and smallest number is:

6-5=5

thus:

largest number=6/5*30=36

medium number=5/5*30=30

smallest number=1/5*30=6

Answer:Â B.36, 30, 6Â

difference in ratio between large and smallest number is:

6-5=5

thus:

largest number=6/5*30=36

medium number=5/5*30=30

smallest number=1/5*30=6

Answer:Â B.36, 30, 6Â

Question

David, Egil and Frances share money in the ratio 2:7:9. David gets Â£25. Work out how much Egil and Frances get. Please help. Needed for tomorrow.

Solution 1

Money is shared among David, Egil and Frances in the ratio 2:7:9 and David gets Â£25, thus Egil and Frances will get:

Egil:

(ratio of Egil to David)Ã—(Amount David gets)

7/2Ã—25

=Â£87.5

Frances:

(ratio of Frances to David)Ã—(Amount David gets)

9/2Ã—25

=Â£112.5

Egil:

(ratio of Egil to David)Ã—(Amount David gets)

7/2Ã—25

=Â£87.5

Frances:

(ratio of Frances to David)Ã—(Amount David gets)

9/2Ã—25

=Â£112.5

Question

Food costs are expected to rise 6% each month for the next year. which series correctly depicts the cost (to the nearest cent) for the next three months if the current cost is $150 per month? $150.00 + $159.00 + $168.00 $150.00 + $159.00 + $168.54 $159.00 + $168.00 + $177.00 $159.00 + $168.54 + $178.65

Solution 1

Increment = 6% = 0.06

The explicit formula for the series is;

C(n) = C(n-1)(1.06), where n = nth month, C(n-1) = cost during previous month, C(n) = cost in month n

Applying the explicit formula;

Current cost = $150

2nd month cost = 150*1.06 = $159

3rd month cost = 159*1.06 = $168.54

The second option is correct.

The explicit formula for the series is;

C(n) = C(n-1)(1.06), where n = nth month, C(n-1) = cost during previous month, C(n) = cost in month n

Applying the explicit formula;

Current cost = $150

2nd month cost = 150*1.06 = $159

3rd month cost = 159*1.06 = $168.54

The second option is correct.

Solution 2

According to edjenuity, the answer wasÂ

**D. $159.00 + $168.54 + $178.65**

Question

Give the next 3 numbers in the sequence: 3, 7, 11, 15, ___, ___, ___

Solution 1

Â 3 + 4 = 7

Â 7 + 4 = 11

11 + 4 = 15

So from the pattern here, we needÂ to add 4 to term to get the next term.

So the remaining three terms would be

15 + 4 =Â**19**

19 + 4 =Â**23**

23 + 4 =**27**

Hope this helps.

Â 7 + 4 = 11

11 + 4 = 15

So from the pattern here, we needÂ to add 4 to term to get the next term.

So the remaining three terms would be

15 + 4 =Â

19 + 4 =Â

23 + 4 =

Hope this helps.

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