The total number of hours it will take to remove the dirt will be 5 ¹/₁₅ hours.
What is the rate?The rate is the ratio of the amount of something to the unit. For example - If the speed of the car is 20 km/h it means the car travels 20 km in one hour.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
A construction company needs to remove 3 ¹/₆ tons of dirt from a construction site. They can remove 5/8 tons of dirt each hour.
Convert the mixed fraction number into a fraction number. Then we have
3 ¹/₆ = 19 / 6
The total number of hours it will take to remove the dirt will be given as,
5/8 = (19/6) / Time
Time = (19/6) / (5/8)
Time = (19 x 8) / (5 x 6)
Time = 76 / 15
Time = 5 ¹/₁₅ hours
The total number of hours it will take to remove the dirt will be 5 ¹/₁₅ hours.
More about the rate link is given below.
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What does "how many" mean in math?
Suppose a line has slope - 2/3 and passes through the point (1, 8). Which other point must also be on the graph?
Another point on the line with a slope of -2/3 passing through (1, 8) is (4, 6). This point is found by moving 3 units right and 2 units down from the initial point.
Explanation:To find another point on the graph of a line with a given slope and passing through a given point, use the point-slope form of a linear equation.
If a line has a slope of -2/3 and passes through the point (1, 8), we can find another point on the line by moving according to the slope. The slope tells us that for every 3 units we move horizontally (in the x-direction), we move 2 units vertically (in the y-direction), and since the slope is negative, we move in the opposite direction of the increase in x. Hence, starting from (1, 8), if we move 3 units to the right (increase in x), we must move 2 units down (decrease in y).
So to find a new point, we do the following:
Start at the point (1, 8).Move 3 units to the right, which takes us to x = 1 + 3 = 4.Move 2 units down, which takes us to y = 8 - 2 = 6.Therefore, the point (4, 6) must also lie on the graph of the line.
An angles measure is 6 degrees more than 3 times the measure of its complement. Find the measure of the angle.
Markers come in boxes of 10. A case of markers has 200 boxes.Howmany boxes of markers are in one case?
what is the volume in cubic yards of a greenhouse that is 20 ft long, 15 ft wide, 10 ft high
explain in your own words what the mean of a negative exponent means?
Value of The underlined digit 9 in 6493
What question is equivalent to 0.83
how to solve this problem
-2/3y - 3/4=5 I am very confused
Jackson says he has an odd number of model cars.he has 6 cars on one shelf and 8 cars on another shelf. Is jackson correct? Explain
Which is the better buy 3 pounds for 8.31 or 5 pounds for 12.95
how do u answer this?
The radius of the base of a cylinder is 28 cm and its height is 48 cm. Find the surface area of the cylinder in terms of π.
Answer: The required surface area of the given cylinder is 4256π cm².
Step-by-step explanation: Given that the radius of the base of a cylinder is 28 cm and its height is 48 cm.
We are to find the surface area of the cylinder in terms of π.
We know that
the SURFACE AREA of a cylinder with base radius r units and height h units is given by
[tex]S.A.=2\pi r(r+h).[/tex]
For the given cylinder, we have
r = 28 cm and h = 48 cm.
Therefore, the surface area of the cylinder will be
[tex]S.A.\\\\=2\pi r(r+h)\\\\=2\pi \times28(28+48)\\\\=56\pi\times 76\\\\=4256\pi~\textup{cm}^2.[/tex]
Thus, the required surface area of the given cylinder is 4256π cm².
partial product 342 x 405
there are 36 roses and 27 carnations. anna is making flower arrangements using both flowers, if she made the maximum number of arrangements, how many carnations would be in each?
Anna can make 9 arrangements. Each has 3 carnations (27 ÷ 9 = 3).
To determine how many carnations would be in each arrangement if Anna made the maximum number of arrangements, we need to find the greatest common divisor (GCD) of 36 and 27.
The GCD of 36 and 27 is 9.
So, Anna can make a maximum of 9 flower arrangements using both roses and carnations.
To find out how many carnations would be in each arrangement, we divide the total number of carnations (27) by the number of arrangements (9):
27 carnations ÷ 9 arrangements = 3 carnations in each arrangement.
Therefore, if Anna made the maximum number of arrangements, there would be 3 carnations in each arrangement.
9 more than than the quotient of -36 an-4
Find the percent error of the measurement 7 cm.
Answer:
The percent error of the measurement 7 cm is 7.14%.
Step-by-step explanation:
Given : Measurement 7 cm
To find : The percentage error of the given measurement.
Solution :
First we find the error in the measurement.
Measuring to the nearest centimeter means the true value could be up to half a meter smaller or larger.
i.e It is upto 0.5 (between 6.5 and 7.5)
Measurement - 7 ±0.5 cm
Absolute Error = 0.5 cm
Relative Error = [tex]\frac{0.5}{7}=0.0714[/tex]
Percentage Error = [tex]0.0714\times 100=7.14\%[/tex]
Therefore, The percent error of the measurement 7 cm is 7.14%.
Simplify. 4−8÷2+3
Please help me with this problem.
simplify |-7.5| - |10.3|
One package of fruit drink contains 6 drinks. Which of the following list the ordered pairs (packages, number of drinks) for 1, 2, 3, and 4 packages of fruit drinks?
1 package has 6 drinks so that = (1,6)
then multiply 6 by the number of packages for total number of drinks
so you end up with (1,6) (2,12) (3,18) (4,24)
Can someone explain domain and range?
The sum of 3 consecutive odd numbers is 51
What is the second number in this sequence?
Answer:
second number= 17
Step-by-step explanation:
first number=a
second number=b
third number = c
we have:
a+b+c=51 equation 1
a=2n+1 equation 2
b=2n+3 equation 3
c=2n+5 equation 4
using equations 2, 3 and 4 in equation 1, we have
2n+1+2n+3+2n+5=51
6n+9=51
6n=51-9
6n=42
n=42/6
n=7
so we have
a=(2*7)+1 =15 first number
b=(2*7)+3 =17 second number
c= (2*7)+5 =19 third number
14 meters per second to centimeter per minute
1 meter - 100 cm
14 x 100 = 1400 cm per second
60 seconds per minute
1400 * 60 = 84,000 cm per minute
how to simplify this
Which statements about quadrilaterals are true? Choose all answers that are correct. A. A square is always also a parallelogram. B. A parallelogram is always also a rectangle. C. A rhombus is always also a trapezoid. D. A rectangle is always also a parallelogram.
Is the square root of 140 approximate to 10.7
If bob has 50737$ and spends 500658. Is this possible?
Use muliplaction and the distributive property to find the quotient : 184 divided by 8??
The solution to 184 divided by 8 is equal to 23.
What is a quotient?In Mathematics and Geometry, a quotient is a mathematical expression that is simply used to represent the division of a number (numerator) by another number (denominator).
Based on the information provided above, we can logically deduce that the following mathematical expression would represent the "the quotient for 184 divided by 8;"
Expression: 184/8
Solution: 92/4
Solution: 23
Read more on quotient here: brainly.com/question/748723
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X=b-cd,c
Solve for c