Working alone, Ryan can dig a 10 ft by 10 ft hole in five hours. Castel can dig the same hole in six hours. How long will it take them if they worked together?

Explain too please, thanks.

Answers

Answer 1

.
Rates:
Ryan: 1 hole per 5 hours
Castel: 1 hole per 6 hours
.
Let x = time if working together
then
x(1/5 + 1/6) = 1
x(6 + 5) = 30
11x = 30
x = 30/11
x = 2.7273 hours
or
x = 2 hours and 44 minutes
Answer 2
x/5+x/6=1
6x+5x=30
11x=30
x=30/11
x=2 8/30 =2 8/30 hours
8/30 hr=16 minutes

2 hours 16 minutes.
Hope this helped.

Related Questions

Maggie's brother is 3 years younger than twice her age. The sum of their age is 24. How old is Maggie?

Answers

She must be 9. 9x2=18. 18-3=15. 15+9=24. so she is 9, and her brother is 15.

How can x + 3 = −2x + 5 be set up as a system of equations

Answers

I also think that it's already a system of equation but you could simplify it into 3x=2 or 1x=1.5

Question 4 (Fill-In-The-Blank Worth 4 points)

(05.01)The new club sticker is in the shape of a triangle. It has a height of 16 inches and a base of 14 inches. The area of the club sticker is ____ square inches.

Triangle with height of 16 inches and base of 14 inches.

Answers

- The area of the club stickers is 112 square inches.

- We know this because...
1. The calculations of a triangle is... 1/2 x b(h)

2. So first, lets calculate the b(h) first, which is 16 x 14 = 224 square inches.
  - This isn't the correct answer because it is the area of a rectangle.

3. Second, lets calculate 1/2 x 224 = 112 square inches.
  - We did this calculation because we are talking about a triangle.

- So, the total square inches of the club sticker is 112 square inches.

Hope this helps! :)

Hello,

The correct answer is 112 Square Inches.

Hope this helps!!!! Happy Holidays!!!! (:

2 inches 3 inches Pivot. If 60 lbs. of force must be applied to the valve for it to open, how much upward force must push rod X apply for the valve to open?

A 60 lbs
B.40 lbs
C 30 lbs
D.20 lbs
E 15 lbs

Answers

We can solve this problem by stating that the summation of momentums must be zero. That is, the momentum at one end of the pivot must be equal to the momentum at the other end.

Momentum 1 = Momentum 2

Since Momentum is the product of Force and Distance, and with this rule created, we can say that:

F1 * d1 = F2 * d2

Where,

F1 = 60 lbs

d1 = 2 inches from the pivot

F2 = unknown X

d2 = 3 inches from the pivot

Substituting to the equation to find for F2:

60 lbs * 2 inches = F2 * 3 inches

F2 = 40 lbs

 

Therefore 40 lbs of upward force must be pushed to open the valve.

Answer: B

Final Answer:

40 lbs of upward force must be pushed to open the valve that is option B is correct.

Explanation:

We can solve this problem by stating that the summation of momentums must be zero. That is, the momentum at one end of the pivot must be equal to the momentum at the other end.

Momentum 1 = Momentum 2

Since Momentum is the product of Force and Distance, and with this rule created, we can say that:

F1 * d1 = F2 * d2

Where,

F1 = 60 lbs

d1 = 2 inches from the pivot

F2 = unknown X

d2 = 3 inches from the pivot

Substituting to the equation to find for F2:

60 lbs * 2 inches = F2 * 3 inches

F2 = 40 lbs

Therefore 40 lbs of upward force must be pushed to open the valve.

In the United States in 1990, about one person in 20 was 75 years old or older. Write this fraction as a percent

Answers

The answer to your question is 5%. You have to write it as a fraction (1/20), then divide 1 by 20 before multiplying by 100 to get 5%

Exactly 1/20 of the students in Mr.Perez's class have a bird.What Percentage of his students has a bird?

Answers

5 percent of his students have birds
We divide 1 by 20, which gives us .05.  Then we multiply it by 100, to give us 5.  The percentage of students in Mr. Perez's class that have a bird is 5%.

Susan starded her homework at 1:59 p.m. And finished her homework 96 minutes later. Susan had volleyball practice at 4:00p.m.
How much time did Susan have between finishing her homework and the beginning of volleyball practice ?

Answers

Susan started at 1:59 pm took 96 minutes.
60 minutes is equivalent to 1 hour so that'll make it to the time 2:59 pm and so the remaining minutes is 36, meaning she finished her assignment at 3:35 pm
so the amount of time between 3:35 pm (completion of the homework) and 4:00 pm (beginning of volleyball practice) is 25 minutes

The answer is 25 minutes

The time Susan had between finishing her homework and the beginning of volleyball practice is 25 minutes.

How much time did Susan have?

The first step is to convert the time she used to do her homework to hours and minutes.

1 hour = 60 minutes

96 minutes = 1 hour 36 minutes

Time she finished her homework = 1:59 + 1 : 36 = 3 : 35

Time she had = 4 - 3 : 35 = 25 minutes

To learn more about how to calculate time, please check: https://brainly.com/question/26290873

subtract the fractions and simplify answer: 9- 5 1/3

Answers

Hey there!!

Here is the process...

9 - 5 1/3
9 - 16/3
27/3 - 16/3
11/3         <------ This is the answer!


I hope this helps! ^__^

Answer:

3  2/3

Step-by-step explanation:

9 - 5  1/3

9 = 8  3/3

8  3/3 - 5  1/3 = 3  2/3

Hope this helps :)

6 + 8 ÷ 2 A.3 B.7 C.10 D.12

Answers

Using the order of operations, division comes first then addition.

6 + 8 ÷ 2
6 + 4
10

So, C 10 is the answer.
Use PEMDAS

Firstly divisions.

6 + (8:2) =

6 + 4 = 10

Answer C

Solve the inequality 9(x - 3) < 4(x + 10).
x < 13/5
x > 13/5
x < 67/5
x > 67/5

Answers

9x - 27 < 4x + 40

-> 5x < 67

-> x < 67/5
the third one is the answer that x<67/5 

If a person weighs 240 pounds on Earth, what would be the difference in weight of the same person on Mars and on the Moon

Answers

Because weight = mass x surface gravity, multiplying your weight on Earth by the numbers above will give you your weight on the surface of each planet. If you weigh 150 pounds (68 kg.) on Earth, you would weigh 351 lbs. (159 kg.) on Jupiter, 57 lbs. (26 kg.) on Mars and a mere 9 lbs. (4 kg.)

Answer:

Mars: [tex]\Delta W = 144\,lbf[/tex], Moon: [tex]\Delta W = 199.2\,lbf[/tex]

Step-by-step explanation:

The gravitational acceleration experimented by the same person on the Moon is equivalent to a sixth of the indicator on Earth and the same indicator on Mars is about 40 % of the terrestrial acceleration. Then, the difference in weight are computed below:

Mars:

[tex]\Delta W = (1 - 0.4) \cdot (240\,lbf)[/tex]

[tex]\Delta W = 144\,lbf[/tex]

Moon:

[tex]\Delta W = (1 - 0.17) \cdot (240\,lbf)[/tex]

[tex]\Delta W = 199.2\,lbf[/tex]

Part A: A graph passes through the points (0, 4), (1, 8), and (2, 10). Does this graph represent a linear function or a non-linear function? Explain your answer in words.

Part B: Write one example of a linear function and one example of a non-linear function. (Use x and y as the variables)

Answers

Part A: It is a non-linear function because it doesn't continue at a constant rate. The last y value increased by 2 instead of 4 like the previous coordinates. There's no consistency if that makes sense.

Part B: linear- (1,2) (2,4), (3,6) Notice how the x increases by the same amount (1) and the y increases by the same amount (2) 
non-linear- (2,4) (5,10) (7,11) The x and y values are increasing by completely different amounts in this one.

Answer:

The first guy is correct.

Step-by-step explanation:

What is the length of segment RS

Answers

The length of segment RS must be 13 units.

To find this, you can make a right triangle by connecting points R and S at a common point to form a right angle. The segments made would be 5 units and 12 units long. Using the Pythagorean Theorem, the segment RS must be 13 units.

Answer: 13 units


Step-by-step explanation:

The length of line segment AB with points [tex]A(x_1,y_1)\ and\ B(x_2,y_2)[/tex] is given by distance formula as :

[tex]\text{AB}=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Now, the length of line segment RS with points [tex]R(-4,-3)\ and\ S(1,9)[/tex] is given by distance formula as :

[tex]\text{RS}=\sqrt{(1-(-4))^2+(9-(-3))^2}\\\Rightarrow\ RS=\sqrt{(5)^2+(12)^2}\\\Rightarrow\ RS=\sqrt{25+144}=\sqrt{169}\\\Rightarrow\ RS=13[/tex]

Hence, the length of segment RS= 13 units

Aldora decides to join a gym for a minimum of one month to train for a triathlon. The gym charges a joining fee of $100 and a monthly fee of $36. If x represents the number of months that Aldora is a member of the gym, the equation below can be used to determine C, her total membership fee for that duration of time:

100 + 36x = C

Aldora has allocated a maximum of $352 to spend on her gym membership. Which number line shows the possible number of months that Aldora can be a member of the gym?

I CANT PUT THE GRAPHS UP BUT I HOPE U UNDERSTAND

Answers

From what I understand with the problem, you are only asked to find the value of x which is the number of months. So, you don't really need a graph to answer this question. Just solve this like any other problem in algebra.

100 + 36x = C, where the maximum value of C is $352
100 + 36x = 352
36x = 352 - 100
36x = 252
x = 7 months

Therefore, x should be at most 7 months.

What is 23 percent of 134?

Answers

23% of 134....turn percent to decimal...." of " means multiply

0.23(134) = 30.82 <==
The percent is 30.82

Michael jogs 3,520 yards every day. What is the distance in miles that he will jog in 10 days? (1 mile = 1,760 yards) How do I figure the problem? Divide 10 into 3,520?

Answers

divide 3520 by 1760 to get miles per day

3520/1760 = 2 miles per day

2 x 10 = 20 miles in 10 days

3,520 divided by ten is 352

Line CD passes through points (0, 2) and (4, 6). Which equation represents line CD?

y = 2x – 2
y = 2x + 2
y = x + 2
y = x – 2

Answers

(0,2)(4,6)
slope = (6 - 2) / (4 - 0) = 4/4 = 1

y = mx + b
slope(m) = 1
use either of ur points (0,2)...x = 0 and y = 2
sub and find b, the y int
2 = 1(0) + b
2 = b

ur equation is : y = x + 2 <==

Answer:

The correct option is 3.

Step-by-step explanation:

If a line passing through two points then the equation of line is

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

It is given that CD passes through points (0, 2) and (4, 6), so the equation of line is

[tex]y-2=\frac{6-2}{4-0}(x-0)[/tex]

[tex]y-2=\frac{4}{4}(x)[/tex]

[tex]y-2=x[/tex]

Add 2 on both the sides.

[tex]y=x+2[/tex]

The equation of line CD is y=x+2. Therefore the correct option is 3.

A rectangle has a perimeter of 84 meters and a length of 35 meters. What is the width of the rectangle?

Answers

To find the perimeter of a rectangle, we can use this formula: [tex]2L + 2W[/tex]
Where L is the length and W is the width.

We know the perimeter and we know the length and we want to find the width.
Substitute the values back into the formula.

2(35) + 2W = 84
70 + 2W = 84
2W = 14 <-- Subtract both sides by 70
W = 7 <-- Divide both sides by 2

So, width is 7 meters long.

84 - (35*2)
84 - 70
14 / 2
The width of the rectangle is 7.

Reduce the rate 210 miles per 3 hours to it's unit rate and write the miles portion of your answer

Answers

unit rate would be miles per hour

 so divide 210/3 = 70

 

210 divided by 3= 70; 70 is the unit rate

Luca, Zane, and Zion together sold 77 tickets for the school banquet. Luca sold 22 tickets and Zane sold 29 tickets. How many tickets did Zion sell?

A.) 11
B.) 26
C.) 51
D.) 55

Answers

22+29=51 
77-51=26 
B.26 is your answer
the answer to that is b. 26

What symbol is greater than

Answers

> is the symbol for greater than
Greater than >
Less than < 
Equal to =
Greater than or equal to ≥
Less than or equal to ≤

Name two integers whose product is negative.

Answers

You know that one integer is a negative integer, as the product is negative- and if the sum is zero, then the absolute value of the two integers are equal. Thus, the integers are +/- sqrt(36). or +/- 6.

Example: 6 and -6

Your welcome.

Answer ALL questions if u cant see all the answers its fine all u need is the question

Answers

For the triangle question, it should probably be A. Sorry if it's wrong.

You want to lay tile in a room of your house. The room is 12 feet by 8 feet. What is the side measure of the largest square tile that you can use to cover the whole floor so there is no overlap or cutting?

Answers

Answer: 4 feet
Tiles 4 feet by 4 feet will fill up the entire 96 sq ft area in just six tiles; three rows and two columns of them. A tile with the dimensions of 4 x 4 has an area of 16 sq ft, which divides evenly in 96 (96/16=4). 16 is the largest square that divides into 96, making it the largest square tile that can be used to cover the entire floor smoothly without cutting. The side length is 4, so the answer is 4 feet.

The side length is 4, and the side measure of the largest square tile is 4 feet.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that you want to lay tile in a room of your house. The room is 12 feet by 8 feet.

Tiles 4 feet by 4 feet will fill up the entire 96 sq ft area in just six tiles; three rows and two columns of them.

A tile with the dimensions of 4 x 4 has an area of 16 sq ft, which divides evenly in 96 (96/16=4).

16 is the largest square that divides into 96, making it the largest square tile that can be used to cover the entire floor smoothly without cutting. The side length is 4.

Therefore, the side length is 4, and the side measure of the largest square tile is 4 feet.

To know more about an expression follow

https://brainly.com/question/28945393

#SPJ2

I need some help please.

Answers

answer is (0,-8) see picture:

HELP PLEASE ASAP!!!!!!!!!!!!

1. The work of a student to solve the equation 2(3x − 4) = 8 + 2x + 4 is shown below:

Step 1: 2(3x − 4) = 8 + 2x + 4
Step 2: 5x − 6 = 12 + 2x
Step 3: 5x − 2x = 12 + 6
Step 4: 3x = 18
Step 5: x = 6

In which step did the student first make an error and what is the correct step?

Step 2; 6x − 6 = 2(6 + x + 2)
Step 2; 6x − 8 = 12 + 2x
Step 3; 5x − 2x = 12 − 6
Step 3; 5x + 2x = 12 + 6

2. The steps below show the incomplete solution to find the value of m for the equation 4m − 2m + 4 = −1 + 13:

Step 1: 4m − 2m + 4 = −1 + 13
Step 2: 4m − 2m + 4 = 12
Step 3: 2m + 4 = 12

Which of these is most likely the next step?

2m = 3
2m = 8
2m = 16
2m = 18

3. How many solutions does the equation 4n + 6 = 4 + 2 + 4n have?

Two
Many
None
One

Answers

1. Step 2 : 6x - 8 = 12 + 2x
2. 2m = 8
3. Two

Answer:

Step 2; 6x − 8 = 12 + 2x

Step-by-step explanation:

Step 1: Write the equation

Step 2: Apply distributive property to the left side and sum the constants to the right side

Step 3: Subtract 2x from both sides and add 8 to both sides:

Step 4: Divide both sides by 4:

How many ways are there to choose a committee of 3 people from a group of 9 people?

Answers

C r = (n!)/(r!(n-r)!)
9 C 3 = (9!)/(3!*(9-3)!)
9 C 3 = (9!)/(3!*6!)
9 C 3 = (9*8*7*6!)/(3!*6!)
9 C 3 = (9*8*7)/(3!)
9 C 3 = (9*8*7)/(3*2*1)
9 C 3 = (504)/(6) 9 C 3 = 84

bobs burgers pays waitresses $49.50 per day ans $5 every hour that they work. sammys sandwiches pays sandwich artists $25 per day and $8.50 each hour they work. how many hours would you have to work in order to earn the same amount of money from both restaurants?

Answers

If an hour is x, you make 5x dollars at bob's burgers and 8.5x dollars at sammy's. As 49.5 and 25 are base values, we get 49.5+5x=25+8.5x. Subtracting 5x and 25 from both sides, we get 24.5=3.5x and dividing by 3, we get 24.5/3.5=x=7 hours

What is the length of the unknown leg in the right triangle?

Answers

The answer to your question is A.) 6 mm
By Pythagorean Theorem,
7^2 + a^2 = √85^2
49 + a^2 = 85
a^2 = 85-49
a^2 = 36
a= 6mm

How many groups of 100 pennies are in 100 pennies

Answers

1.. 100 divided by 100 is 1.
There is 1 group in 100 pennies.
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