A construction company needs to remove 2 5/6 tons of dirt from a construction site. They can remove 3/10 tons of dirt each hour. What is the total amount of hours it will take to remove the dirt?

Answers

Answer 1

Answer:

Here is a generic way to set up this type of algebra problem.

d = total amount of dirt at the site (tons)

r = rate or removal (tons/hr)

t = time it takes to remove all of the dirt (hr)

d = rt

The total amount of dirt equals the removal rate times hours spent removing all the dirt.

Since you want to solve for t, divide both sides by r

t = d/r


Related Questions

Find the measure of x.
48.99
138
X
x = [?]
Round your answer to the nearest tenth.
Enter

Answers

Tan(48.9) = x/138

X = 138 x tan(48.9)

X = 158.2

Someone help me click this solve it using < or >

Answers

Answer:

<

<

>

Step-by-step explanation:

To compare fractions, we need to make sure that both fractions have the same denominator. For example, for question 4, the least common multiple of 5 and 3 is 15, so we need to multiply both fractions by some numbers to get the denominators equal to 15. In this case, we will multiply the first fraction, [tex]\frac{3}{5}[/tex] by 3 to get [tex]\frac{9}{15}[/tex] and the second fraction, [tex]\frac{3}{3}[/tex] by 5 to get [tex]\frac{15}{15}[/tex].

Once we have the same denominator, we can simply compare the value of the numerators and see which one is larger. For question 4, since 9 is smaller than 15, the first fraction is smaller than the second. So the correct inequality to represent this would be "<".

To do these sums, we have to first convert them to like fractions.

For the first one:

LCM of denominators 5 and 3 is 15.[tex] \frac{3}{5} = \frac{3 \times 3}{5 \times 3} = \frac{9}{15} [/tex][tex] \frac{3}{3} = \frac{3 \times 5}{3 \times 5} = \frac{15}{15} [/tex]Since,[tex] \frac{9}{15} < \frac{15}{15} [/tex]Therefore,[tex] \frac{3}{5} < \frac{3}{3} [/tex]

For the second sum:

LCM of denominators 6 and 8 is 24.[tex] \frac{4}{6} = \frac{4 \times 4}{6 \times 4} = \frac{16}{24} [/tex][tex] \frac{7}{8} = \frac{7 \times 3}{8 \times 3} = \frac{21}{24} [/tex]Since[tex] \frac{16}{24} < \frac{21}{24} [/tex]Therefore,[tex] \frac{4}{6} < \frac{7}{8} [/tex]

For the third one:

LCM of denominators 10 and 5 is 10.[tex] \frac{6}{10} = \frac{6 \times 1}{10 \times 1} = \frac{6}{10} [/tex][tex] \frac{2}{5} = \frac{2 \times 2}{5 \times 2} = \frac{4}{10} [/tex]Since,[tex] \frac{6}{10} > \frac{4}{10} [/tex]Therefore,[tex] \frac{6}{10} > \frac{2}{5} [/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.

are in the ratio of 3:4. If the first number is decreased by 5, and
the second number is increased by 5, the new ratio will be 2 : 3. What are the two
numbers?

Answers

Answer:

the first number is 75 and the second number is 100

Solve.
Sophia wants to buy a pair of shoes online. Shop X has a price of 35.90 CAD. The price at
Shop Y is 21 British pounds (GBP). Compare the prices using Canadian dollars. If 1 CAD =
0.75 GBP, which shop offers a better deal? Explain.

Answers

Answer:

Shop Y

Step-by-step explanation:

In order to compare, we need to make both the same units first. Since they give us the conversion factor 1 CAD=0.75 GBP, we can plug this in to the shoes from shop X. We get 35.90*0.75=26.93 GBP.

Now we can compare. Since 21 GBP < 26.93 GBP, we can see that shop Y's shoes are cheaper, and therefore the better deal.

Find the sum of the first 11 terms of the geometric sequence shown below.
2, 6, 18, 54, ...

Answers

Answer:

177146

Step-by-step explanation:

2 + 6 + 18 + 54 + 162 + 486 + 1458 + 4374 + 13122 + 39366 + 118098

The table shows the relationship between r and s, where s is the independent variable.

Which equation represents the relationship between r and s?

Answers

Answer:

burrito

Step-by-step explanation:

burrito

Select the expressions that represent the same quantity as 3(n + 4). 3 correct answers pls help

Answers

Answer:

3n + 12

n + n + n + 4 + 4 + 4

(n+4) + (n+4) + (n+4)

Step-by-step explanation:

Simplify 3(n+4).

3 x n = 3n

3 x 4 = 12

3n + 12

Expand.

3(n+4)

3 x n = n + n + n

3 x 4= 4 + 4 +4

And

3(n+4)

= 3 x (n+4) is equal to (n+4) +(n+4)+(n+4)

Which expression is equivalent to 142 +35 - 2142
7z(2-5-39)
7zy(2-5-3)
21-5-39
7(2z-5-39)
HELP FAST

Answers

The last one on the bottom
7 (2x +5 -3y)

Find the value of x.
x=__ (simplify your answer. Type an exact answer isn’t radicals as needed.)

Answers

[tex] {5}^{2} + {x}^{2} = {8}^{2} [/tex]

[tex]25 + {x}^{2} = 64[/tex]

Subtract both sides 25

[tex]25 - 25 + {x}^{2} = 64 - 25[/tex]

[tex] {x}^{2} = 39[/tex]

Thus :

[tex]x = \sqrt{39} [/tex]

[tex]x = 6.245[/tex]

A 15 kg ball is thrown into the air. It is going at 4m/s when thrown. How much potential energy will it have at the top?

Answers

Answer:

A ball is thrown vertically upward with a speed of 25.0 m/s

a study of 1,400 cats revealed that 18 out of every 210 cats in the population have black hair. based on the results of the study, how many cats in the population do NOT have black hair?

Answers

Answer:

1280

Step-by-step explanation:

divide 1400 by 210

then multiply by 18

subtract that answer (120) from 1400,

and you get 1280

Gino had 89€.
He used one
quarter to buy
a gumball. How
much money does
Gino have left?

Answers

Answer: 64€

Step-by-step explanation:

89 - 25 = 64

Can i have brainliest

Answer:

64 cents

Step-by-step explanation:

Assuming the 'c' symbol represents an American currency symbol

If y = 6, what is the value of x given 8x + 5y = 62?
Answer:

Answers

Answer:

2sqearhahah joke bye hahah

the answer: y = 6 ⇔ x = 4

ok done. Thank to me :>

I need help with this question

Answers

If I'm not mistaken, both should be the third option, or (C)
I can explain further in a reply, if needed.

How many eighty-fours are in 672

Answers

672 / 84 = 8.

There are “8” 84’s in 672.

The sum of two angles is 90°. The difference of twice the larger angle and the smaller angle is 105º. The system of linear equations:
x + y = 90
2x - y = 105
represents this situation where x is the larger angle and y is the smaller angle. Find the measures of the two angles.
SHOW YOUR WORK!!​
(this is linear combinations)

Answers

Answer:

x = 65, y = 25

Step-by-step explanation:

Given system of linear equations:

x + y = 90 2x - y = 105

Add up the equations to eliminate y:

x + 2x = 90 + 1053x = 195x = 65

Find y:

y + 65 = 90y = 90 - 65y = 25

Tomatoes that regularly sell for $0.55 per pound are on sale for 20% off the regular price. What is the sale price?

Answers

Answer:

$o.44

Step-by-step explanation:

20/100×0.55 =0.11

0.55-0.11 = 0.44

It should be $0.44
Explication- 0.55-20% is 0.44

Find the exact value of tan 5 π .

Answers

Answer:

0.274714403

Step by step explanation:

The answer is: zero (0)

-3x-8? I would like to know the steps also

Answers

Answer:

24

Step-by-step explanation:

a - and a - make a +

so -3 x -8 becomes positive

so 3 x 8 = 24

A system of equations is graphed on the coordinate plane. y = -3x - 9 y = 3x + 9 What is the solution to the system of equations? (0,3) ( (-3,0) (3,0) (0,-3)​

Answers

Answer: B. (-3, 0)

Step-by-step explanation:

y = -3x - 9...(1)

y = 3x + 9...(2)

Substitute (1) into (2)

3x+9=-3x-9

6x=-18

x=-3

Substitute y=0 into (1)

y=3(-3)+9

y=0

Therefore, the solution to the system is the ordered pair (-3, 0)

Slove for x : 4x - t = a

Answers

we have:   4x - t = a ⇒ 4x = a + t ⇒ x = [tex]\frac{a+t}{4}[/tex]

ANSWER: x = [tex]\frac{a+t}{4}[/tex]

ok done. Thank to me :>

The sum lf two numbers is 10. The difference between the two numbers is 4: what is the smaller numerical?

Answers

Answer:

3

Step-by-step explanation:

The two numbers are 3 and 7, and 3 is the smaller one

Step-by-step explanation:

x, y are the 2 numbers.

x + y = 10

y - x = 4

that gives us

y = x + 4

and we use that in the first equation :

x + x + 4 = 10

2x = 6

x = 3

y = x + 4 = 3 + 4 = 7

so, yes, the smaller number is 3.

Which statement is false?

A. The lines of symmetry in a circle are too many to count.
B. A scalene triangle has no line of symmetry.
C. A trapezoid has only one line of symmetry.
D. A regular octagon has only four lines of symmetry.

Answers

Answer:

options a is answer

Step-by-step explanation:

options a is answer

Write the equation of the line that passes through the points (8,-1) and (2,-5) in standard form, given that the point- slope form is y + 1= 2/3 (x -8)

Answers

Answer:

2x - 3y = 19

Step-by-step explanation:

y=(-5--1)/(2-8)*(x -8)+-1

y=-4/-6(x-8)-1

3y=2x-16-3

3y=2x-19

2x-3y=19

Answer:

2x - 3V = 19
Step-by-step explanation:

y=(-5--1)/(2-8)*(x-8)+-1
y=-4/-6(x-8)-1
3y=2x-16-3
3y=2x-19
2x-3y=19

find the numbered angles 1 to10​

Answers

Answer:

6

Step-by-step explanation:

im not sure but I think 6 is the answer

1. Assume O P || NM.
What are possible lengths for each of the following segments?
LO, ON, LP, and PM
Choose one measure for each segment. You can start with the length of any segment, but remember to consider the
Triangle Proportionality Theorem when choosing the measurements.
2. How did you decide what values to use? Explain how you chose your measurements, and why you know they are
possible measurements for the segments.
3. What is a different method you could use to choose these numbers? Explain your answer.

Answers

1. Assuming OP || NM, considering the triangle proportionality theorem possible measurements for the segments are: ON = 3 units, LO = 1 unit, PM = 6 units, LP = 2 units

2. The possible values are decided by assuming  [tex]\frac{ON}{LO} = \frac{PM}{LP} = 3[/tex] using the triangle proportionality theorem.

3. Another method is applying the AA Similarity Theorem to compare corresponding side lengths of the triangles that are proportional to each other.

What is the Triangle Proportionality Theorem?

Triangle proportionality theorem states that if a line is parallel to one of the sides of a triangle intersects two of the other two sides, it divides the two sides into proportional corresponding segments.

1. Assuming that OP || NM, we would apply the triangle proportionality theorem to have the following ratio:

[tex]\frac{ON}{LO} = \frac{PM}{LP}[/tex]

Using the above ratio, we can choose the following possible lengths for the segments:

ON = 3 units

LO = 1 unit

PM = 6 units

LP = 2 units

2. The values are decided assuming that the ratio, [tex]\frac{ON}{LO} = \frac{PM}{LP} = 3[/tex]

This means that the ratio of the proportional segments, irrespective of the their measurement should give you an assumed equal ratio of 3:1.

Therefore, since:

[tex]\frac{3}{1} = 3\\\\\frac{6}{2} = 3[/tex]

The measurements, ON = 3 units, LO = 1 unit, PM = 6 units, LP = 2 units are therefore possible measurements.

3. Using the AA Similarity Theorem to prove that ΔLPO ≅ ΔLMN, the corresponding sides of both triangles will be proportional.

LP/LM = LO/LN = PO/MN

We can use this to choose possible measurements while assuming a ratio between the proportional sides of both triangles.

Let's assume that: LP/LM = LO/LN = PO/MN = 1/4

Let,

LO = 1 unit

LN = 4 units

Therefore, ON = LN - LO = 4 - 1 = 3 units.

Same way the other possible measures can be gotten provided a ratio is assumed.

Learn more about triangle proportionality theorem on:

https://brainly.com/question/24804474

The year 2004 has the units digit equal to twice the thousands digit. How many years will it be before this next happens?

Answers

Step-by-step explanation:

the answer should be 1004

100 drops of water weigh 9 grams so how many tons do 100 million drops of water weigh

Answers

Answer:

100 drops of water weigh about 9 grams. So how many tons do 100 million drops of water weigh?

Step-by-step explanation:

please mark my answer in brainlist plz

100 drops = 9 grams
100 million is 100 x million
so 9 x million is 9 million

Expand ; 3(1-x/2)^2​

Answers

Answer:

[tex]3 {( \frac{1 - x}{2}) }^{2} = 3 \times {(1 - x)}^{2} \div {2}^{2} \\ =3 \times (1 - 2 \times 1 \times x + {x}^{2}) \div 4 \\ = 3 \times (1 - 2x + {x}^{2} ) \div 4 \\ = \frac{3}{4} (1 - 2x + {x}^{2})[/tex]

[tex] \bold \pink{ \underline{hope \: it \: helps}}[/tex]

HELP!!!
graph and label the following real numbers on the number line:

Answers

Answer:i dont know yet

Step-by-step explanation:

I don’t know bug good luck
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