(5) P-4-7 set up & solve, rate
A gold dredge is a machine that was used in the early 1900s to extract gold from a river or pond. The amount of
dirt a gold dredge can dig in 1 minute is equal to the amount it would take 3 people, each digging at the same
rate, to dig in 1 day. At this rate, how many days would it take 2 persons to dig as much dirt as a gold dredge
can dig in 60 minutes ?
A) 30 B) 45 C) 60 D) 90
Show work please.

Answers

Answer 1

Answer:

D) 90 Days

Step-by-step explanation:

dredge 1 min = 3 people days

when I say people days, I mean 3 people working one day

multiply each side by 60 to get the desired 60 min of dredge:

dredge 60 min = 180 people days

As we currently have this set up, it will take 180 people, 1 day to do the same amount of work as 60 min of dredge, but we only want 2 people.  This means we need to divide the people days by 2 to get how many days are needed for 2 people, thus:

dredge 60 min = 2 people for 90 days


Related Questions

Simplify . Show your work!

Answers

Answer:

25/16

Step-by-step explanation:

(4/5)^-2

Use Negative Power Rule: x^-a = 1/x^a

1/(4/5)^2

Use Division Distributive Property: (x/y)^a = x^a/y^a

1/16/5^2

1/16/25

25/16

Please mark me the brainliest!?!

David and Mark win some money and share it in the ratio 2:1. David gets £24 more than Mark. How much did they get altogether?

Answers

2:1 Ratio:
If David got more money, then that means he is taking majority of the ratio, which is the 2. To find the total amount, we can first find Marks quantity and add together.
24/2= 12. 24+12=36

Calculate the slope of the graph below. Write your answer into the blank, m=​

Answers

Answer: 2

Step-by-step explanation:

Slope=rise/run

In this case

Rise=2

Run=1

2/1=2

Answer: m = 2

Step-by-step explanation:

1) m= (y2-y1)/(x2-x1)

2) let say :

y1=0

y2=4

x1=-2

x2=0

3) m= (4-0)/(0-(-2))

4) m= 4/2 =2

(6x2 + 7x + 1) + (x2 + 5x + 6)

Answers

Step-by-step explanation:

combine the like terms

(6x^2 + x^2) + (7x + 5x) + (1 + 6)

7x^2 + 12x + 7

1) How do you know where the hypotenuse is located on a right triangle?

Answers

Answer:

Its always the side that is opposite of the right angle.

Step-by-step explanation:

Hope this helps!

solve the system of linear equations -x+4y=-8 -1/4x+y=-1​

Answers

Answer:

(- 2, - 6)

Step-by-step explanation:

Given system:

x + 4y = -8 -1/4x + y = -1​

1. Multiply the second equation by - 4 to get:

(- 4)(-1/4x + y ) = (- 4)(- 1)x - 4y = 4

2. Now, add this up with the first equation:

x + 4y + x - 4y = - 8 + 42x = - 4x = - 2

3. Find the value of y:

- 2 + y = - 8y = - 8 + 2y = - 6

The solution is (- 2, - 6)

A rope is 250 centimeters long.
You need the rope to be 112 meters long.

How many centimeters should you cut off?

Answers

Answer:I’m guessing you meant cm for 112 so..

Step-by-step explanation:250-112=138

so 250-138=112

Answer:

100 cm

Step-by-step explanation:

112*2 then you divide & get 100

Millie left for her trip at 11:20 a.m. on Monday. She arrived at her destination Tuesday morning at 6:48 a.m. How long was she traveling?

Answers

The time she arrived at her destination is an illustration of time duration

She travelled for 19 hours, 28 minutes

How to determine the length of the trip?

The question implies that we calculate the time taken to complete the trip.

From the question, we have:

Start = 11:20 am Monday

End = 6:48 am Tuesday

So, the duration is:

Duration = End - Start

Substitute known values

Duration = 6:48 am Tuesday - 11:20 am Monday

Evaluate the difference

Duration = 19 hours, 28 minutes

Hence, she travelled for 19 hours, 28 minutes

Read more about time and distance at:

https://brainly.com/question/4931057

Norachai won 55 lollipops playing the
bean bag toss at the county fair. At school
he gave two to every student in his math
class. He only has 7 remaining. How
many students are in his class?

Answers

Answer: 24

Step 1: Subtract 7 because Norachai has seven more lollipops.

55 - 7 = 48.

Step 2: Divide 48 by 2 because he gave every student two lollipops.

48 divided by 2 = 24.

Answer = 24

If one-third of a number x, is greater than five less than twice the number, which of the following is true

Answers

Answer:

A.) x < 3

Step-by-step explanation:

I jus got 100% on the quiz.

Sally works in a cell phone store. She is paid

Answers

Step-by-step explanation:

is there a question here???

Answer:

Alright?

Step-by-step explanation:

a.
Choose the equation that
matches the graph.
(3)***
b. y = 4* – 1
= (a)* +4
d. y = (*)* +2
y =
X
C.
y =
X
e.
y = 2*-5
har

Answers

Answer:

a

Step-by-step explanation:

y= 1/2 ^(x+4)

Solve for x. Round to the nearest tenth, if necessary.

Answers

Answer:

hello

cos  59° = IH/x

x =  ≈ 58.24

Step-by-step explanation:

David can paint a fence in ten hours. Alex can paint the same fence in eight hours. If
they worked together how long would it take them?
1/10
1/8
9/40
40/9

Answers

Answer:

40/9

Step-by-step explanation:

Use the work formula, [tex]\frac{1}{A}[/tex] + [tex]\frac{1}{B}[/tex] = [tex]\frac{1}{T}[/tex], where A is the amount of time it takes one person, B is the amount of time it takes another person, and T is the time it takes for them to work together.

Plug in the times for David and Alex alone:

[tex]\frac{1}{10}[/tex] + [tex]\frac{1}{8}[/tex] = [tex]\frac{1}{T}[/tex]

Find the least common denominator, which is 40.

[tex]\frac{4}{40}[/tex] + [tex]\frac{5}{40}[/tex] = [tex]\frac{1}{T}[/tex]

[tex]\frac{9}{40}[/tex] = [tex]\frac{1}{T}[/tex]

Cross multiply and solve for T:

9T = 40

T = 40/9

So, if they worked together, it would take them 40/9 hours

Answer:

40/9

Step-by-step explanation:

just helped my sister with this question.

solve for x!! pls help need to show work marking brainliest!!

Answers

Answer:

x= 161

Step-by-step explanation:

Answer:

x=45

Step-by-step explanation:

86+49=135

180-135=45

what is the formula of what is the formula of a square + b square ​

Answers

Answer:

Step-by-step explanation:

a² + b² = (a + b)² - 2ab

2x+3<23 (convert to word problem)

Answers

Answer:

two x plus three is less than twenty-three

Step-by-step explanation:

im not sure but I think that's how you do it

Calculate the following probabilities and indicate which probability distribution model
is appropriate in each case. You roll a fair die 5 times. What is the probability of rolling
(a) the first 6 on the fifth roll?
(b) exactly three 6s?
(c) the third 6 on the fifth roll?

Answers

It is B :)

Step-by-step explanation:

A scale drawing of a red blood cell is shown below. If the blood cell’s actually diameter is 0.008 millimeter, use a ruler to find the scale factor of the drawing.

Answers

0000.3

Step-by-step explanation:

because I need points lolol

Matthew fills his dogs water bowl with 16 oz of water every morning, if his dog finishes all of his water everyday, how many ounces will his dog drink in a week?

Answers

Answer:

112

Step-by-step explanation:

16x7=112

Answer:

To answer this, you just multiply 16 by 7 because Matthew's dog drinks 16 ounces of water each day, and there are 7 days in a week. After doing so, you will find the answer of 112. So, Matthew's dog will drink 112 ounces of water in a week.

Step-by-step explanation:

Hope this helps! :)

Have a blessed day!

PLEASE MARK ME AS BRAINLIEST I REALLY WANT TO LEVEL UP

What do the solutions of a quadratic represent graphically?
A) The x-intercepts
B) The vertex
C) The 'a' value in the quadratic equation
D) The axis of symmetry

Answers

Answer:

c

Step-by-step explanation:

A line contains the points (80, -94) and (89, -84).
What is the slope of the line in simplified form?

Answers

Answer:

The answer is

[tex] \huge \frac{10}{9} [/tex]

Step-by-step explanation:

The slope of a line given two points can be found by using the formula

[tex]m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\[/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(80, -94) and (89, -84)

We have

[tex]m = \frac{ - 84 - - 94}{89 - 80} = \frac{ - 84 + 94}{9} = \frac{10}{9} \\ [/tex]

We have the final answer as

[tex] \frac{10}{9} \\ [/tex]

Hope this helps you

Answer:10/9

Step-by-step explanation:

Two angles form a linear pair. The measure of one angle is 14 the measure of the other angle. Find the measure of each angle.

Smallest angle:

Largest angle:

Answers

Answer:

Step-by-step explanation:

how to factorise 25y - 35z

Answers

Answer:

the highest common factor of 25 and 35 is 5

so,

5(5y-7z) is the factorise form of 25y-35z

Step-by-step explanation:

hope this helps you!!

The inverse of a conditional statement is "If a number is negative, then it has a negative cube root."
What is the contrapositive of the original conditional statement?
If a number is negative, then it does not have a negative cube root.
O If a number does not have a negative cube root, then the number is not negative.
O If a number has a negative cube root, then the number is negative.
O If a number is not negative, then it does not have a negative cube root.

Answers

Answer:

C. If a number has a negative cube root, then the number is negative.  

Step-by-step explanation:

took the quiz

The inverse of the conditional statement is " If a number does not have a negative cube root, then the number is not negative. "

What is a conditional statement?

A conditional statement is a type of logical statement that expresses a relationship between two propositions or statements. It typically takes the form "if p, then q" where p and q are propositions. The statement "if p, then q" is read as "if p is true, then q is true" or "p implies q".

The truth value of a conditional statement depends on the truth values of its antecedent (p) and its consequent (q). If p is true and q is true, then the conditional statement is true. If p is true and q is false, then the conditional statement is false. If p is false, then the truth value of the conditional statement is irrelevant and it is said to be vacuously true.

Given data ,

Let the statement be represented as A

Now , the inverse of the statement is A'

where A = "If a number is negative, then it has a negative cube root."

Now , the inverse of the conditional statement is

A' = " If a number does not have a negative cube root, then the number is not negative. "

Hence , the inverse is " If a number does not have a negative cube root, then the number is not negative. "

To learn more about conditional statements click :

https://brainly.com/question/18152035

#SPJ7

help me plss I'll brainlist u !​

Answers

Answer:

1.A

-$92

-$212

1.B

To solve this you set up the equation:  x(8) +12 =y. In this equation x=, the number of paintbrushes and y=, the total cost of the purchase. If you plug in the number of paintbrushes that are being bought you should be able to get your Y(total cost).

Hope this helped!

How is adding and subtracting mixed numbers similar to adding and subtracting fractions? How is adding and subtracting mixed numbers different than adding and subtracting fractions?

Give examples to explain your answer. Use your 4th grade words.

Answers

Answer:

It is similar because you have to always have the same numerator in adding or subtracting fractions. Adding fractions and subtracting mixed numbers is different because when u have a  mixed number you have to simplify it to its lowest terms to make it easy to tell if it's a whole number or mixed.

example: 2 1/2 + 3/2= 4 now u know its a whole number but as a mixed number that would be 8/2

Step-by-step explanation:

Answer:

A mixed number is a fraction just with a whole number such as 1, 2, 3, and on. A regular fraction would be 5/10 and you can make that irregular so we can say if it was 15/10 then thats still a fraction but its improper and in order to make it proper you must make it a mixed number.

If any of this made sense then i hope i helped.

Step-by-step explanation:

How to solve 7 + 13n - 1 > 5 ( 2n + 2 ) + 8 by two step inequality

Answers

Answer:

n>4

Step-by-step explanation:

1. Let's first simplify each sides.

7 + 13n − 1 > 5(2n+2) + 8

a. 7 - 1

Distribute the 5.

b. 5 x 2n = 10n

   5 x 2 = 10

c. 10n + 10 + 8 = 10n + 18

13n + 6 > 10n + 18

2. Now, eliminate 10n on both sides, as there can't be 2 variables on the opposite sides.

13n  + 6 > 10n + 18

-10n        -10n

a. 3n + 6 > 18

3. Subtract 6 from each side.

3n + 6 > 18

     -6     -6

a. 3n > 18

Divide 3

b. n > 4

Sorry for the long explanation, but i hope this helps!

Out of the 13 girls who tried out for the softball team, 10 will be chosen for the team. Find the number of different 10-person teams.

Answers

Using the combination formula, it is found that there are 286 10-person teams.

The order in which the girls are chosen is not important, hence the combination formula is used to solve this question.

What is the combination formula?

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this problem, 10 girls are chosen from a set of 13, hence:

[tex]C_{13,10} = \frac{13!}{10!3!} = 286[/tex]

There are 286 10-person teams.

More can be learned about the combination formula at https://brainly.com/question/25821700

two students are reading a novel. ashley reads 3 chapters per day. carly reads 2 chapters per day, but she starts early and is already on chapter 2 write a system of equations to represent the situation, using d for days and c for chapters.

Answers

The equation that represent this situation is 5d + 1 = c

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Let d represent the number of days and c represent the number of chapters. Hence:

3d + 2d + 1 = c

5d + 1 = c

The equation that represent this situation is 5d + 1 = c

Find out more on equation at: https://brainly.com/question/2972832

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