A construction company takes 1 3/8 hours to remove 2 1/2 metric tons of dirt from a construction site. What is the unit rate in metric tons per hour? Write your answer as a fraction or a mixed number in simplest form.
PLEASE HELP!! NO LINKS PLZ

Answers

Answer 1

Answer:

  1 9/11 T/h

Step-by-step explanation:

You want the unit rate in metric tons per hour of removal of 2 1/2 metric tons in 1 3/8 hours.

Unit rate

The unit rate in tons per hour is found by dividing tons by hours:

  (2 1/2 T)/(1 3/8 h) = (5/2 T)/(11/8 h) = (20/8 T)/(11/8 h) = 20/11 T/h

 = 1 9/11 T/h

The unit rate is 20/11 metric tons per hour, or 1 9/11 metric tons per hour.

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Related Questions

what were the most important people for mary eliza mahoney

Answers

Answer:

African American and women

Step-by-step explanation:

Mary Eliza Mahoney was eager to encourage greater equality for African Americans and women

hope this helps!

Admission to the school dance is $4.00. There is a picture booth at the dance, and each picture costs $1.50. Maria has $10.00. Which inequality represents the number of pictures, p, that Maria can purchase at the dance with admission?

A. 4.00p + 1.50 ≥ 10.00

B. 4.00 + 1.50p ≤ 10.00

C. 4.00p + 1.50 ≤ 10.00

D. 4.00 + 1.50p ≥ 10.00

Answers

Answer: B) 4.00+1.50p less or equal to 10.00
The inequality that represents the number of pictures that Maria can purchase is D.

Work out the value of angle marked b

Answers

Answer:

22

Step-by-step explanation:

180-90-68=22

Answer:

180 - (90+68) = 22

B =22

Hope this helps!

I need help with 13 on both pictures. The first picture is the answer and the second picture is the question not getting the answer at all

Answers

Problem 13

If we want to multiply (x^3-3x^2+2x) with (x^3-2x^2+x), then we can set up a diagram shown below. The terms are along the outside. The stuff inside is the result of multiplying each pair of outer terms.

Example: x^3 times x^3 = x^6 in the top left cornerAnother example: 2x times x = 2x^2 in the bottom right corner.

This is known as the box method to keep track of all the terms multiplied.

Once the table is filled out, we add up each term inside the boxes. Combine like terms if possible. Notice that I color-coded the like terms (eg: the x^3 terms are in green boxes).

The final answer is x^6 - 5x^5 + 9x^4 - 7x^3 + 2x^2

Darren is finding the equation in the form y = m x b for a trend line that passes through the points (2, 18) and (–3, 8). Which value should he use as b in his equation? –34 –19 2 14.

Answers

B is consider to be the y-intercept. If you plot those two points and draw a line connecting the two. The line would go through (0,14). Making 14 the y-intercept and the correct answer.


Lesson 8-2
In Items 15-18, identify the transformation from the
graph of f(x) = 2* to the graph of g(x).
15. g(x) = 2* – 3
16. g(x) = 2(x – 3)
17. g(x) = 2* + 4
18. g(x) = 2(x+4)

Answers

Do you ever just like munching on the pickle and a hot Tuesday comes in literally rip your face off

Evaluate the algebraic expression when b = 3, d = 12, h = 2 and r = 7.
A. 8
B. 16
C. 24
D. 32

Answers

Answer:

24

Step-by-step explanation:

the answer is 24 because the 3 and 12 u divide

Answer: the answer is choice c which is 24 .

Step-by-step explanation: HOPE IT IS CORRECT .THANKS .

The tables show the height in
centimeters each plant grew during
a week. Assume the patterns continue.
Compare the growth in height of
each plant.

Answers

Answer:

  Plant B grows 3 times as fast as Plant A

Step-by-step explanation:

Both plants start at 0 height on Day 1 and grow the same amount each day. Plant A grows 2 cm each day; Plant B grows 6 cm each day. The growth rate of Plant B is 3 times the growth rate of Plant A.

Which expressions are equivalent? chose all that apply.

Answers

Answer:

7.7.7.7 and 7^4 and seven to the fourth power

Step-by-step explanation:

They all equal 2401.

They are all the same but in different forms:

(7.7.7.7- expression)

(7^4 - exponential form)

(seven to the fourth power-word form of exponent)

x − y = 4 y − 8 = -x At which point do the given equations intersect each other?

Answers

Answer:

(6,2)

Step-by-step explanation:

Graph is below

Please help Mandy took out a $35,000 loan to buy a car. What is the principal?

Answers

The principal of a loan is the amount of money they took out as a loan.


Principal = $35,000

A 48°

B (6x−28)°

C (2x)°

Find the value of x. Then find the measures of angles B and C.




Enter your answers in the boxes.


x =


​m∠B=​

º


​m∠C=​

º

Answers

Answer:

x = 20, angle B = 92 and angle c = 40

Step-by-step explanation:

3 angles in a triangle adds up to 180, and since A is 48, we have B + C = 132

6x - 28 + 2x = 132
=> 8x - 28 = 132
=> 8x = 160 and x = 20

B = 6 x 20 - 28 = 92
C = 2 x 20 = 40

The edge of a cube is (5x+2) mm long. What is its volume?

Answers

Answer:

(125x+8)cm^3

Step-by-step explanation:

Volume= (5x+2)^3 = (125x+8)cm^3

Hey!

Answer:

125x^3+ 150 x^2+ 60x +8.

Formula of the volume of the cube = v=a^3

Substitute:

v=(5x+2)^3

=125x^3+ 150 x^2+ 60x +8.

The ratio of boys to girls at a camp is 4:5. If there are 75 girls, how many boys are there? I NEED AN ANSWER ASAP PLEASE

Answers

Answer:

60 boys

Step-by-step explanation:

To find how many boys, you need to find how many times more than 75 is than five. To do that, divide 75 by 5 and you'll get 15. Multiply 4 by 15 and you get 60 boys. (i'm guessing bc im in middle school lol)

Find the length of the bolded arc if the radius is 4cm and the angle is 118 degrees.

Answers

Answer:

8.23 cm

Step-by-step explanation:

A circle is given to us and we need to find out the length of the bolded arc . The arc subtends an angle of 118° at the centre . And the radius of the circle is 4cm .As we know that , length of the arc is given by ,

[tex]\longrightarrow Length_{arc}= \dfrac{\theta}{360}\times 2\pi r [/tex]

Here ,

Angle is 118° . Radius is 4cm .

On substituting the respective values,

[tex]\longrightarrow Length_{arc}=\dfrac{118^o}{360^o}\times 2(3.14)(4cm) [/tex]

Simplify ,

[tex]\longrightarrow Length_{arc}= 0.3277 \times 25.18 \ cm [/tex]

Multiply ,

[tex]\longrightarrow \underline{\underline{Length _{arc}= 8.23 \ cm}} [/tex]

This is the required answer!

the length of a quarter is .955. Round .955 to the nearest tenth of an inch

Answers

Answer:

1.0 inch

Step-by-step explanation:

Round the 9 in 0.955, this turns it into 1.0, Since you said an inch, the value will be in inches.

Answer:

1.0in is your answer!

Step-by-step explanation:

the person above me explained it good enough

The hot cocoa stand uses 65 spoons each day. If the stand is open for 30 days, how many spoons are uses?

Answers

Answer:

1950

Step-by-step explanation:

i got to this by multiplying 30 and 65

1,950

Step-by-step explanation:

it's 65 x 30 which equals 1,950

Please answer these thank u​

Answers

1. 3*3 + 3*8 = 9+24=33

2. 4*4+.5*2*4+5*5= 16+4+25=45

3. 5*10+4*10= 90

4. 24+.5*4*4 = 32

Use the fact that sin 38 ≈ 0.6157 to solve m.

cos m ≈ 0.6157

what is the value of m?

Answers

Answer:

52°

Step-by-step explanation:

We know that sine and cosine are equal when angles are complementary.

sin 38° = cos msin 38° = cos (90° - 38°) = cos 52°cos m = cos 52°m = 52°

sin and cos are equal when their sum is 90°

So

cosm=0.6125=sin38cos(90-38)=sin38cos52=sin38m=52°


help with part b pls thank u

Answers

Answer:

See below

Step-by-step explanation:

speed = distance / timetime = distance / speed

a)

i)

Time taken at the first part:

105 / x

ii)

Time taken at the second part:

(190 - 105) / (x + 12) = 85/(x + 12)

b)

If time is 3 hours and 15 minutes = 3 1/4 hours = 13/4 hours, the equation is:

105/x + 85/(x + 12) = 13/44(x + 12)*105 + 4(85x) = 13x(x + 12)13x² - 604x - 5040 = 0

c)

Solve the equation:

13x² - 604x - 5040 = 0x = [604 ± √((-604)² + 4*13*5040) ]/26 =      [604 ± √626896]/26 =      [604 ± 791.77]/26x = (604 + 791.77)/26 = 53.68 km/h (taking positive root only)

d)

105/x = 105/53.68 h = 1.956 h = 1 h 0.956*60 min = 1 h 57 min (rounded)85/(53.68 + 12) = 85/65.68 = 1.294 h = 1 h 0.294*60 min = 1 h 18 min (rounded)

Answer:

see below

Step-by-step explanation:

Let t = time (in hours)

a) i)  First 105 km of journey

[tex]\mathsf{speed=\dfrac{distance}{time}}[/tex]

[tex]\implies x=\dfrac{105}{t_1}[/tex]

[tex]\implies t_1=\dfrac{105}{x}[/tex]

ii) Rest of journey

distance = 190 - 105 = 85 km

speed = [tex]x+12[/tex] km/h

[tex]\mathsf{speed=\dfrac{distance}{time}}[/tex]

[tex]\implies x+12=\dfrac{85}{t_2}[/tex]

[tex]\implies t_2=\dfrac{85}{x+12}[/tex]

b)  3 hours 15 minutes = 3.25 hours

[tex]\implies[/tex]  total time = [tex]t_1+t_2=3.25[/tex]

[tex]\implies \dfrac{105}{x}+\dfrac{85}{x+12} =3.25[/tex]

[tex]\implies \dfrac{105(x+12)+85x}{x(x+12)} =3.25[/tex]

[tex]\implies 105(x+12)+85x =3.25x(x+12)[/tex]

[tex]\implies 105x+1260+85x =3.25x^2 +39x[/tex]

[tex]\implies 3.25x^2-151x-1260=0[/tex]

multiply by 4:

[tex]\implies 13x^2-604x-5040=0[/tex]

c)

[tex]\textsf{quadratic formula} \ x=\dfrac{-b \pm\sqrt{b^2-4ac} }{2a}}[/tex]

[tex]\implies x=\dfrac{604 \pm\sqrt{(-604)^2-4(13)(-5040)} }{2(13)}}[/tex]

[tex]\implies x=\dfrac{604 \pm\sqrt{626896} }{26}}[/tex]

[tex]\implies x = 53.68, x=-7.22[/tex]

(to 2 decimal places)

d) time ≥ 0, therefore, x = 53.68 only

Substitute x = 53.68 into the expression for [tex]t_1[/tex] and solve for [tex]x[/tex]:

[tex]\implies t_1=\dfrac{105}{53.68}=1.955912... \textsf{hours}=\textsf{1 hr 57 min}[/tex]

6.
A swimmer plans to swim at least 100 laps during a 6-day period. During this period,
the swimmer will increase the number of laps completed each day by one lap. What
is the least number of laps the swimmer must complete on the first day?

Answers

Answer:

I think 15

Step-by-step explanation:

15+16+17+18+19+20=105

if it was 14 it would equal to 99

A rectangle is 10 feet long by 2 feet wide.
If 3 feet are removed from the length of t
would be the area, in square feet, of the
You can earn 1 coin

Answers

Answer:

14 ft²

Step-by-step explanation:

To find the area of a rectangle you multiply the length and width. Sense the length is 10 feet but 3 feet was removed it is now 7 feet. Now you multiply that 7 feet by the width of 2 feet to get

7×2=

Area= 14 ft²

Antonia is saving for a video game. On the first day, she saves two dollars in her piggy bank. Each day after that, she doubles the number of dollars she saved on the previous day. How many dollars does she save on the sixth day?

Answers

Answer:

64

Step-by-step explanation:

so each day you times the amount of money by two

1=2

2=4

3=8

4=16

5=32

6=64

7=128

Elisabeth reads 15 of her book in 112 hours. Elisabeth continues to read at this pace. How long does it take Elisabeth to read 3/4 of the book?
Enter your answer as a mixed number in the simplest form by filling in the boxes.

Answers

The number of hours it takes Elisabeth to read 3/4 of the book is;  5³/₅ hours

What are mixed numbers?

We are told that she reads 15 of her books in 112 hours.

Thus, number of hours to read one book is;

112/15 hours per book

Therefore, number of hours to read ³/₄ of the book is;

³/₄ * ¹¹²/₁₅ = 28/5

As a mixed number is 5³/₅ hours per book

Read more on mixed numbers at; https://brainly.com/question/10225

Answer:

5 5/8 h

Step-by-step explanation:

took the test and got it right :)

$13.56 is what percent of $16.95?

Answers

Answer:

$13.56 is 80% of $16.95.

Find the area of the rectangle below
length = 11 in
width = 17 in

Answers

Answer:187

Step-by-explanation: width multiply by height

=11 times 17

=187

Explain how to find a probability of an event

Answers

Answer:

what event there is no picture or words to tell me please explain

Step-by-step explanation:

no links or files please, i just need the answers.. (Worth 25 points)

Answers

Answer:

A ,D , F

Step-by-step explanation:

A) x-3=0 , x=3

B 1+x=2 , x=2-1=1 , x=1

C 9-x=3 , x=9-3=6 , x=6

D) 6=2x , x=6/2=3 , x=3

E (1/5)x=3 , x=3*5=15 , x=15

F) x^2=9 x=√9 , x=3

Explain Direct Variation. What does “k” equal?

Answers

Answer:

In y = kx, where k is the constant of proportionality.

Answer:

k is the constant

Step-by-step explanation:

Direct variation is simply explained as when a number is directly proportional to another number. For example, when 8 is directly proportional to 4 then it will result to

=> 8= k4, where k is the constant

=> divide both sides by 4 to get k

=> k= 2

Which expression is equivalent to -6(-2/3+2x)?
plss hurry im timed
-4-12x
-4+2x
4-12x
4÷12x

Answers

Answer:

4 - 12x

Step-by-step explanation:

-6(-2/3 + 2x)

we can distribute by multiplying -6 by whats inside of the parenthesis ( -2/3 and 2x )

-6 * -2/3 = 4

-6 * 2x = -12x

4 - 12x would be the equivalent expression

Given :A expression -6(2/3 +2x).

To Find:The equivalent expression from the options.

Solution :-

Given expression to us is ,

→ -6( -2/3 +2x)

Simplify by multiplying each terms inside the brackets by -6 .

→ -6*-2/3 + 2x*(-6)

Simplify,

→ 4 -12x

Hence option 3 is correct .

I hope this helps .

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