1. The pump used to fill the water tank on a fire truck takes 40 minutes to fill the tank. If the pump sending water to the hose is on, it takes 60 minutes to fill the tank. If the pump filling the water tank is off, how long does the pump sending water to the hose take to empty the tank?A. 120 minutes
B. 60 minutes
C. 30 minutes
D. 24 minutes

2. Annmarie can plow a field in 240 minutes. Gladys can plow a field 80 minutes faster. If they work together, how many minutes does it take them to plow the field?
A. 96 minutes
B. 160 minutes
C. 400 minutes
D. 480 minutes

3.Brody can fill a bowl with candy in 3 minutes. While Brody fills the bowl, Hudson takes the candy out of the bowl. With Hudson taking candy out of the bowl, it takes 5 minutes for Brody to fill the bowl.
Which of the following can be used to determine the amount of time it takes for Hudson to empty the bowl if Perry does not add candy?
A. 1 over 3 minus 1 over x equals 1 over 5
B. 1 over 3 minus 1 over 5 equals 1 over x
C. 1 over 5 minus 1 over x equals 1 over 3
D. 1 over 3 minus 1 over x equals x over 5

4. Leanne can clean a fish tank in 30 minutes. Karl can clean a fish tank in 20 minutes. If they work together, how many minutes does it take them to clean a fish tank?
A. 6 minutes
B.10 minutes
C. 12 minutes
D. 50 minutes

5.Genna can build a cabinet in 4 hours. Claude can build a cabinet in only 3 hours.

Which of the following can be used to determine the amount of time it would take for Genna and Claude to build a cabinet together?

A. 1 over 4 plus 1 over x equals 1 over 3
B. 1 over 4 plus 1 over 3 equals 1 over x
C. 1 over x plus 1 over 3 equals 1 over 4
D. 1 over 3 plus 1 over 4 equals x over 7

Answers

Answer 1

Answer: So the possible answer of the following questions are the following and i hope you would be satisfied with my answer and feel free to ask for more if you have question and further clarification:
#1.A. 120 minutes
#2.A. 96 minutes
#3.A. 1 over 3 minus 1 over x equals 1 over 5
#4.C. 12 minutes
#5.B. 1 over 4 plus 1 over 3 equals 1 over x

Answer 2

Answer:

Answer:

1) option: A (120 minutes)

2) option: A(96 minutes)

3) option: A

4) option: C

5) option: B

Step-by-step explanation:

Ques 1:

Let the total work be '240'

filling pipe empty pipe filling+empty pipe

Time 40 min 60 min x

Efficiency 240/40=6 240/60= -4 6-4=2

The efficiency of empty pipe is negative as it lead to more time in filling.

Hence the time taken by both the pipe will be $(240)/(2)$ =120 minutes.

Hence, option A is correct.

Ques 2:

Let the total work be '960'

Annmarie Gladys Annmarie+Gladys

Time 240 min 160 min x

Efficiency 960/240=4 960/160=6 6+4=10

Hence, the time taken if they work together is: $(960)/(10)=96 minutes$

Hence, option A is correct.

Ques 3:

Let the total work be '1'

Brody Hudson Brody+Hudson

Time 3 min x min 5 min

Efficiency 1/3 -1/x 1/5

the efficiency of Hudson is negative as he is taking out the candies.

since, efficiency of Brody+efficiency of hudson= efficiency of both

that means $(1)/(3)-(1)/(x)=(1)/(5)$

Hence, option A is correct.

Ques 4:

Let the total work be '60'.

Leanne Karl Leanne+Karl

Time 30 min 20 min x

Efficiency 2 3 5

Hence, the time taken by both of them is: $(60)/(5)=12 \text{minutes}$

Hence, option C is correct.

Ques 5:

Let the total work be '1'

Genna Claude Genna+Claude

Time 4 hrs 3 hrs x hrs

Efficiency 1/4 1/3 1/x

Since, efficiency of Genna+Efficiency of Claude=Efficiency of both

that means $(1)/(4)+(1)/(3)=(1)/(x)$

Hence, option B is correct.

Related Questions

I don't know how to do this

Answers

part a : a coefficient is 10.5

a variable is c

a constant is 50

part b : $618.50

part c : the coefficient would change because instead of it being 10.5 in front of the variable "h" it is now 11.25 in front of the variable.

Part A. h and c are variables 10.15 and 15 are coefficients 50 is the constant
Part B.Put h=37 and c=12
Part C.$11.25 instead of 10.15 i.e. eq. becomes 11.25h + 15c + 50

When competing for admission to more selective four-year colleges, which of the following can be just important as a GPA?. A. Letters of recommendation. B. Personal statement. C. Community & Extra curricular activities. D. High school class size

Answers

When competing for admission to more selective four year colleges, community and extra curricular activities are important as GPA.

What is GPA?

"A grade point average is a number representing the average value of the accumulated final grades earned in courses over time. More commonly called a GPA, a student’s grade point average is calculated by adding up all accumulated final grades and dividing that figure by the number of grades awarded. This calculation results in a mathematical mean—or average—of all final grades. The most common form of GPA is based on a 0 to 4.0 scale (A = 4.0, B = 3.0, C = 2.0, D = 1.0, and F = 0), with a 4.0 representing a “perfect” GPA—or a student having earned straight As in every course."

Extra curricular activities help developing inter personality traits like working in team and having coordination.

These all help us building and finding yourselves, this is the reason colleges and university focus on more extra curricular activities.

That is why extra curricular are as important as GPA.

Hence, C is the correct option.

To know more about GPA here

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Answer:

Step-by-step explanation:

A-P-E-X APPROVED

Write the equation of the line perpendicular to 2x-3y=12 which passes through the point (16,-7).

Answers

The equation of the line perpendicular to the given line will be =

y = $(-3)/(2)\n$ x + 17

We have a general equation of line as - 2x - 3y = 12 which passes through the point (16, -7).

We have to determine the general equation of the line perpendicular to this line.

What is the general equation of a straight line ?

The general equation of a straight line is as follows -

y = mx + c

where -

m - slope of line

c - intercept of line on y - axis.

According to question, we have -

Equation of Line = 2x - 3y = 12

Rearranging the above equation of line, we get -

3y = 2x - 12

y = $(2)/(3) x + 4$

Therefore, the slope of this line will be = 2/3

Two lines which are perpendicular to each other have the following relation among their slopes =

m(1) x m(2) = -1

Therefore, the slope of line perpendicular to the given line will be -

m(2) = -3/2

Now, assume that the equation of line perpendicular to the given line be-

y = mx + c

y = $(-3)/(2)\n$ x + c

Since, this line passes through the point (16, -7), therefore-

- 7 = $(-3)/(2)* 16$ + c

-7 + 24 = c

c = 17

Hence, the equation of the line perpendicular to the given line will be =

y = $(-3)/(2)\n$ x + 17

To solve more questions on Straight lines, visit the link below -

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y= mx+b

(16, -7) = (x,y)

2(16) - 3y = 12
32 - 3y = 12
32 - 12 = 3y
20/3 = y
6.6 = y

2x-3(-7) = 12
2x+21 = 12
2x = 12 - 21
x = -9/2

Insert the values into y = mx + b
solve for m and then solve for b

What equation represents a line that is parallel to the line y=3-2x