A special piece of equipment is used at a construction site to dig holes. A hole is dug to a depth of 3.25 feet when the equipment hits rock. The progress slows to 5/8 feet per hour of digging. The depth of the hole must be at least 11 1/2 feet by the end of the day to stay on schedule. What is the minimum amount of time the equipment must continue at its present rate to complete the hole on schedule?
Select from the drop-down menus to correctly complete the statement.
The equipment requires at least 13 or 23 hours and 2/6/12/36 minutes to complete the hole on schedule.
Answer:
13 hours and 12 minutes
Step-by-step explanation:
You put 3.25 as a fraction which is 3 1/4. then I took 3 1/4 and misused it by 11 1/2. 23/2 - 13/4 = 8 1/4 then we took the 5/8 and divided it by 33/4 (3 1/4) I got 13 1/5. 13 1/5 is 13 hours and 12 minutes.
Minimum amount of time taken to complete the hole is 13 hours and 12 minutes.
What is proportion?In mathematics, proportion is an equation where two ratios are taken to be equal to each other. Suppose if a:b = c:d, then [tex]\frac{a}{b}[/tex] = [tex]\frac{c}{d}[/tex].
In the question, it is given that, a hole is already dug to a depth of 3.25 feet = 3 [tex]\frac{1}{4}[/tex] feet.
Also, the depth of hole at the end of the day must be atleast 11 [tex]\frac{1}{2}[/tex] feet.
Remaining depth of the hole needed to dug = 11 [tex]\frac{1}{2}[/tex] - 3 [tex]\frac{1}{4}[/tex] = [tex]\frac{23}{2}[/tex] - [tex]\frac{13}{4}[/tex] = [tex]\frac{33}{4}[/tex] feet
Rate of digging is [tex]\frac{5}{8}[/tex] feet per hour.
We have to find how much time will be taken for [tex]\frac{33}{4}[/tex] feet.
In proportional form, it can be written as [tex]\frac{5}{8}[/tex] : 1 = [tex]\frac{33}{4}[/tex] : x, where x is the time taken to complete [tex]\frac{33}{4}[/tex] feet.
⇒ [tex]\frac{5}{8}[/tex] / 1 = [tex]\frac{33}{4}[/tex] / x
Cross multiplying, we get
[tex]\frac{5}{8}[/tex] × x = [tex]\frac{33}{4}[/tex] × 1
⇒ x = [tex]\frac{33}{4}[/tex] × [tex]\frac{8}{5}[/tex] = [tex]\frac{66}{5}[/tex] = 13 [tex]\frac{1}{5}[/tex]
Hence the minimum amount of time the equipment must continue at the present rate to complete the hole on schedule is 13 hours and 12 minutes.
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Someone helpp ill give brainlist if its correct and a heart and a thanks a 5 rate star ; )
Answer:
The slope is at 87.
Please let me know if I am wrong. I tried.
Please help ASAP I will give brainliest!!
Answer:
Step-by-step explanation:
Write an equation representing the relationship of 10:20 shown in the graph
Answer:
[tex]20=2(10)[/tex]
Step-by-step explanation:
10:20 is a good point that passes a line to another.
This graph is a linear graph.
The linear equation is
[tex]y=mx+b[/tex]
[tex]y[/tex] = 20 (the y coordinate in the graph)
[tex]m[/tex] = slope
[tex]x[/tex] = 10 (the x coordinate in the graph)
[tex]b[/tex] = y-intercept
Finding slope
To find the equation, we'll need to plug in the values in the formula. To find slope using two points, use the formula, then plug in the values:
[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
(10, 20) and (20, 40)
[tex]=\frac{40-20}{20-10}[/tex]
[tex]= \frac{20}{10}[/tex]
[tex]\bold{m= 2}[/tex]
Finding the y-intercept
You have to find the slope first before finding the y-intercept. So, plugin one of the two points we used to find the slope into the formula and solve for [tex]b[/tex]
(10, 20)
[tex]20=2(10)+b[/tex]
[tex]20=20+b[/tex]
[tex]20-20=20-20+b[/tex]
[tex]\bold{b=0}[/tex]
The y-intercept is zero, and when it is, you do not add it since zero is nothing.
The equation is [tex]20=2(10)[/tex]
There are 4 quarts in a gallon and 4 cups in a quart. How many cups are in one serving?
Show and explain your work/answer
Answer: 16 cups
one serving is a gallon.
4c = 1q
8c = 2q
12c = 3q
16c = 4q
-ㄚㄩ尺丨
reread lines 9-18. underline the parts of a bats body that humans also have. Study the image of the bat. How does showing body parts similar to a humans help you better understand a bats body? Support your answer with explicit textual evidence.
Answer:1/2 of an answer is zero answer.
Step-by-step explanation:
What is 125 ÷ (2×7) = ???
Answer:
8.93
Step-by-step explanation:
Answer:
the answer is 8 and 13/14, or 8.93
Step-by-step explanation:
because of PEMDAS, we solve the numbers in the parenthesis first.
2 x 7 = 14.
next, we divide 125 by 14. 125 / 14 = 8 and 13/14
in decimal form, that is 8.93 (rounded up)
hope this helps :D
What is the y-intercept y = -6x - 5
1. (0, -5)
2. (5, 0)
3. (0, 5)
4. (-5, 0)
Answer:
(0,-5)
Step-by-step explanation:
Hope this helps :)
Select the expressions that are equivalent to 9d+4d.
Answer:
The first one, second one, and the last one. not the third one because 9d+3d=12d not 13d
Step-by-step explanation:
Rafi had a board that was 15 1/2 feet long. He cut three pieces off the board that are each 3 7/8 feet long. How much of the board is left?
Answer:
Step-by-step explanation:
To answer this question, first we need to figure out how much of the board Rafi cut off.
To do this, we need to multiply the length of each piece by the number of pieces he cut off.
3 7/8 = 3.875
3.875 * 3 = 11.625
Now, because we knew Rafi cut off 11.625 feet off of the board, we just need to subtract this length from the length of the entire board to find the remaining length.
15 1/2 = 15.5
15.5 - 11.625 = 3.875
There is 3.875 feet or 3 7/8 of the board left.
The original pattern for a dress is 3334 inches long. Kimmy needs her dress to be 3212 inches long. How much shorter than the pattern does Kimmy need to make her dress?
A.
123 inches
B.
114 inches
C.
214 inches
D.
112 inches
This Is 15 Points and will give brainliest! pls help asap!
Answer:
Answer: None of the above. If you subtract 3212 from 3334, you will get 122. The answer is none of the above.
Step-by-step explanation:
Lol, I have no idea what to do
Select all of the algebraic expressions that could represent the phrase below.
Step-by-step explanation:
9 more = + 9
the product of 5 times t = 5t
so, the answer options 1, 2 and 4 are correct
And this one is number 8
Answer:
i think that it is option A
Step-by-step explanation:
hope this helps!
i shall give the right answer brainliest
Answer:
D i think
Step-by-step explanation:
Answer:
I belive it is 4 to the power of 7
Step-by-step explanation:
Writing about Graphing a Fraction Explain how to graph 5 2 on the number line. A number line going from 0 to 3. There are 2 equals spaces between each number. The number line contains 0, point A is one-half, 1, point B is 1 and one-half, point C is between point B and 2, 2, point D is 2 and one-half, 3. I need help
the answer is uhhhhhhhhhh yes*
help me please i shall give the correct answer brainliest
Answer:
9514 1404 393Answer: c = 6√2 d = 12Step-by-step explanation:The sides of any isosceles triangle (opposite the congruent angles) are congruent. Hence ...
Step-by-step explanation:
Answer: c = 6√2 d = 12
Step-by-step explanation: The sides of any isosceles triangle (opposite the congruent angles) are congruent.
hope this helps :)
halo, kak boleh bantu tidak? yang 3. E - H
4 dan 5 semuanya Thx
Answer:
eng pls
Step-by-step explanation:
Bertha read 21 books. Each book had 155 pages. How many pages did she read altogether?
Answer:
3255
Step-by-step explanation:
21x3255=
Read the problem below and answer the question.
Answer:
7.9375
Step-by-step explanation:
cuz divide it 35.75÷4=7.9375
What is the distance between points A and B?
100
1
I
0 1
O 13
Answer:
1/3
Step-by-step explanation:
The line is split into 3 sections between 1 and 2, and A to B is one of those thirds.
PLS HELP DUE SOON. ALSO SHOW HOW U SET UP PROBLEM
Answer:
0.5% walk
Step-by-step explanation:
7/1400×100%
1/200×100%
1/2%
I need help quickly please have clear explanation and answer written in brainly
Answer:
ii
Step-by-step explanation:
i
Which graphs represents a linear graph?
Answer:
The fourth picture represents a linear graph.
Step-by-step explanation:
Slopes are part or linear graphs, so that means the fourth picture is a linear graph.
hope this helped.
let me know if I am wrong plz.
Robbie wants to complete the equation below.
23+34=x
Which expression should Robbie use to solve for x?
A.
4/6+56
B.
8/12+912
C.
2/4+3/4
D.
12/18+15/18
A. 4/6 + 56 as it is closest to 57 ( the value of x in the equation)
Answer:
Robbie should use 1st expression
Step-by-step explanation:
23+34=X
23+35= 4/6+56
=(5+336)/4
=56.67
=57
N + 1 - 3N = 9 - N (IN A TEST)
Answer:
N= -8
Step-by-step explanation:
a
A cylindrical glass holds 37683768 cubic centimeters of water. It has a height of 1212 cm. Find the area of the base of the glass.
Answer:
31092.2178
Step-by-step explanation:
Divide the volume (37683768) by the height (1212) to get the area/length x width.
37683768 / 1212 = 31092.2178
Create a scatterplot displaying the data in the table. Be sure to include a linear trend line. (2 points)
Can you show more information please?
Answer:
Using technology, the linear regression equation which models the data of the relationship between the number of customers served and tips received is :
y = 1.87x + 3.66
predicted amount of tip for 100 customers = $191
The predicted amount of tips received of 100 customers are served :
y = 1.87x + 3.66
x = 100 ; substitute x = 100 into the equation
y = 1.87(100) + 3.66
y = 187 + 3.66
y = 190.66
Hence, about $191 would be received on tips if 100 customers are recorded.
Using a regression calculator to make prediction from a data table :
Enter the x and y axis data into the appropriate column so that the calculator can display the actual data model. Hence, given a certain value of either variable, the predicted value of the required variable can be calculated from the model.
Step-by-step explanation: I'm not sure since you didn't add a picture
help pleases
Evaluate the expression when b=8
3b²
here is your answer
3(8)²
3*64
192.......
Point B (-5, 5) is reflected over the x-axis. Where is B'?
Answer:
(-5, -5)
Step-by-step explanation: