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.
To learn more on Ratio, click:
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And this one is number 8
Answer:
i think that it is option A
Step-by-step explanation:
hope this helps!
please help me with thissss
Answer:
a.) The sum of the weights of the two in insects is 0.0031 grams. (0.0031 grams)
b.) The fly is 0.0013 grams heavier than the gnat. (0.0013 grams)
Step-by-step explanation:
2.2 * 10^-3 = 2.2 * 1/1000 which is 2.2/1000.
9 * 10^-4 = 9 * 1/10000 = 9/10000
To add 9/10000 to 2.2/1000 we have to find the common denominator, which will be 10000.
So we do:
2.2/1000 * 10/10 = 22/10000
9/10000 + 22/10000 = 31/10000 = 0.0031.
The sum of the weights of the two in insects is 0.0031 grams.
To find how much heavier the fly is than the gnat we do:
22/10000 - 9/10000 = 13/10000 = 0.0013
The fly is 0.0013 grams heavier than the gnat.
Someone help me with this please, I really need help, and it's due tmrw...PLEASE
Answer:
the 4.99 represents the fixed cost (the monthly cost)
Step-by-step explanation:
If she didn't download any music her monthly cost would be $4.99. Every song she downloads adds another $1.50 to the monthly cost.
Answer:
The cost to use the service for a month if no songs are downloaded.
Step-by-step explanation:
This is the original price, and the songs added add additional money to $4.99.
the amount of songs downloaded multiplied by 1.5 adds onto $4.99.
What is the measure of angle 5 if the measure of angle 2 is 37 degrees and the measure of angle 3 is 72 degrees
Answer:
160 is a whole angle so 37+72=109 160-109=51
51 is your answer
Step-by-step explanation:
Answer:
160 is a whole angle so 37+72=109 160-109=51
51 is your answer
If each unit on the grid represents 2.5 inches, find the height of the triangle.
Answer:
15
Step-by-step explanation:
on edge
A community swimming pool is a rectangular prism that is 30 feet long, 12 feet wide, and 5 feet deep. The wading pool is half as long, half as deep, and the same width as the larger pool.
How many times greater is the volume of the swimming pool than the volume of the wading pool?
Enter your answer as a number, like this: 42
HELLLLPPPP PLEASEEEEEE
Answer:
The volume of the community swimming pool is 4 times greaters than the volume of the wading pool.
Step-by-step explanation:
By definition of rectangular prism, we get the respective formulas for the volumes of the community swimming pool and the wadling pool, respectively:
Community swimming pool
[tex]V_{c} = l\cdot w\cdot h (1)[/tex]
Wading pool
[tex]V_{w} = \left(\frac{1}{2}\cdot l \right)\cdot \left(\frac{1}{2}\cdot h\right)\cdot w (2)[/tex]
Where:
l – Length of the swimming pool, measured in feet.
h – Depth of the swimming pool, measured in feet.
w – Width of the swimming pool, measured in feet.
[tex]V_{c}[/tex] – Volume of the community swimming pool, measured in cubic feet.
[tex]V_{w}[/tex] – Volume of the wading swimming pool, measured in cubic feet.
The ratio of the volume of the community swimming pool to the volume of the wadling pool is:
[tex]\frac{V_{c}}{V_{w}} = \frac{l\cdot w \cdot h}{\left(\frac{1}{2}\cdot l \right)\cdot \left(\frac{1}{2}\cdot h\right)\cdot w} (3)[/tex]
[tex]\frac{V_{c}}{V_{w}} = \frac{1}{\frac{1}{4} }[/tex]
[tex]\frac{V_{c}}{V_{w}} = 4[/tex]
The volume of the community swimming pool is 4 times greaters than the volume of the wading pool.
Grant mows lawns for extra money. He mows 9 lawns in 9 hours on Wednesday and 6 lawns In 6 hours on Saturday.
What is the constant of proportionality that relates the total number of lawns mowed, y, to the number of hours mowing lawns, x?
Answer:
the constant is 1. 9/9 is the same as 1. so 9hours over 9 lawns is 1.
Identify the correct ordered pairs made using the corresponding terms of these two sequences, with Sequence 1 terms first. Sequence 1: 3, 5, 7, 9, 11…. Sequence 2: 5, 7, 9, 11, 13…
(3, 5), (5, 9), (7, 11), (9, 7), (11, 13)
(3, 5), (5, 11), (7, 9), (9, 7), (11, 13)
(5, 3), (7, 5), (9, 7), (11, 9), (13, 11)
(3, 5), (5, 7), (7, 9), (9, 11), (11, 13)
Answer:
sorry i cant
Step-by-step explanation:
BUT im doing a winter event of 2 easy questions 50 pts and brainliest each
Answer:
It's the last option
Step-by-step explanation:
3, 5, 7, 9, 11
5, 7, 9, 11, 13
(3,5)
(5,7)
(7,9)
(9,11)
(11,13)
I need help plz. You have to write an equation from the graph, you either multiply, divide, add or subtract
The x axis is
vertical
horizontal
diagonal
Answer:
Horizontal
Step-by-step explanation:
The x-axis is horizontal while the y-axis is vertical.
B - Horizontal
The y-axis is vertical and most exponential functions tend to be diagonal.
Someone help me with this please, I really need help and its due tmrw...PLEASE
Answer:
The number of hours a student should spend on their homework to expect a 94 on the quiz.
Use ratios and proportions to solve.
A recipe calls for 24 fluid ounces of milk. What is the amount of milk called for in cups?
The amount of milk ------- is
cups.
Answer:
2 cups of milk
Step-by-step explanation:
1 cup equals 12 fluid ounces
Answer:
4 fluid ounces would be 0.5 cups so 4*6 is 24/2=12
Step-by-step explanation:
Answer:12 cups
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:
PLEASE SOLVE THIS!!!
6-3y+(-8y)+5.3
Answer:
11.3 - 11y
Step-by-step explanation:
remove parenthesis: 6 - 3y - 8y + 5.3
collect all the like term: 11.3 -11y
helppppp !!!!!!!!!! FAST !!!!!!!!!!!!!!
Answer:
The scale of the map is 20cmx30cm
The dimensions of the garden is 6cm for width and 20 cm for the length
Step-by-step explanation:
Answer: the scale of the thing is 20cm x30cm
Mrs.Rose received a 35% discount on her cell phone. The price of her cell phone came out to be $180. How much was the original price of her cell phone?
Answer:
The original price of the cell phone is $514.29
Step-by-step explanation:
The answer is $514.29 because the equation to find the answer is :
Let x = the original price of the cell phone
$180 = Price after discount
So, 180 = x * 35/100
Multiply by its reciprocal on both sides so
180 (100/35) = x
18000/35 = x
514.29 = x
So the original price of the cell phone is $514.29
Steve made $50 taking leafs and $75 mowing lawns. He gave 60% of his earnings to his mother. How much did Steve give to his mother?
Ps: pls show how you set up the problem!
Answer:
Step-by-step explanation:
He gave $75 dollars to his mother
50+75=$125
$125 x 60% = 75
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.
whats 1312755 x 3430975324578, first one to answer will get a brainliest
1.0730547e+08
i think im not sure though
Name the Solid.
What shape is the base?
What is the VOLUME of the solid?
Round to the nearest tenth if necessary.
Answer:
Pyramid
V= 240 m^3
Step-by-step explanation:
The volume of a pyramid is 1/3 the Base times the height.
1/3x(10x8)x9
Help please. Sort the numbers.
Answer:
1) 2² + 3² - 2 = 4 + 9 - 2 = 11
3² + 2² - 3 = 9 + 4 - 3 = 10
2) 4(3²) + 3(2) + 3 = 36 + 6 + 3 = 45
4(2²) + 3(3) + 3 = 16 + 9 + 3 = 28
3) 2(3) + 3 + 1 = 10
4) 3(2²) + 2(3) + 2 = 12 + 6 + 2 = 20
3(3²) + 2(2) + 3 = 27 + 4 + 3 = 34
5) 2⁴ - 3² + 3 = 16 - 9 + 3 = 10
6) 2³ - 2(3)(3) - 5 = 8 - 18 - 5 = -15
3³ - 2(3)(3) - 5 = 27 - 18 - 5 = 4
1) x = 3, y = 2
2) neither
3) x = 2, y = 3
4) neither
5) x = 2, y = 3
6) neither
PLS ANSWER, ALL THE QUESTIONS IN THE PICTURE. ITS DUE SOON PLS HELP, SHOW WHO U SET UP EACH PROBLEM .
Answer:
3. It's b and c 4. total number of participants in marathon=99+121=220 percentage of female = 121/220×100 =55% 5. the answer is 7
Step-by-step explanation:
What is the y-intercept of a line that has a Slope of 3 and passes through point (-1, -7)
Answers;
A. -10
B. -4
C. 3
D. 7
Answer:
B)-4
Step-by-step explanation:
y=mx+c
sub in a point and gradient/slope to get c
-7=3(-1)+c
-7=-3+c
-7+3=c
c=-4
y=3x-4
if u looking for the y intercept make x=0
y=3(0)-4
y=-4
Help me plz:
11. Solve the following equations:
a. 5(x - 4) = 10
b. 2x(4x + 3x) = 21
c. 3(4 - 2x) = 28
d. 10x(2 + 13) = 300
[tex]\huge \bf༆ Answer ༄[/tex]
Let's solve ~
A. 5(x - 4) = 10 [tex] \sf5(x - 4) = 10[/tex][tex] \sf(x - 4) = 10 \div 5[/tex][tex] \sf \: x - 4 = 2[/tex][tex] \sf x = 2 + 4[/tex][tex] \sf x = 6[/tex]B. 2x(4x + 3x) = 21 [tex] \sf2x(4x + 3x) = 21[/tex][tex] \sf2x(7x) = 21[/tex][tex] \sf14 {x}^{2} = 21[/tex][tex] \sf {x}^{2} = 21 \div 14[/tex][tex] \sf x {}^{2} = \dfrac{3}{2} [/tex][tex] \sf x = \sqrt{ \dfrac{3}{2} } [/tex]C. 3(4 - 2x) = 28[tex] \sf3(4 - 2x) = 28[/tex][tex] \sf12 - 6x = 28[/tex][tex] \sf - 6x = 28 - 12[/tex][tex] \sf x = 16 \div - 6[/tex][tex] \sf x = - \dfrac{8}{3} [/tex]D. 10x(2 + 13) = 300[tex] \sf 10x(2 + 13) = 300[/tex][tex] \sf10x(15) = 300[/tex][tex] \sf10x = 300 \div 15[/tex][tex] \sf x = 20 \div 10[/tex][tex] \sf x = 2[/tex]I hope it helps ~
help me plz
evaluate the expression when b=5
4b²
Answer:
100
Step-by-step explanation:
hope this helps! :D
have a miraculous day!! <3
help me with 2 x 5/8 = in fraction
please no links or websites
Step-by-step explanation:
2= 2/1
so you do 2/1 x 5/8
then you do 2 x 5 over 1 x 8 and you answer will be 10/8 or 1 2/8
Which figure is a scalene triangle? Triangles in image
Answer: The one in the top right corner with the 6 in and 3 in
Step-by-step explanation:
X^2 = 6^2 + 3^2
X^2 = 36 + 9
All the sides are different.
What is the length, in units, of the line segment with endpoints at (1, 4) and (3, 7)?
A. √137
B. √15
C. √5
D. √13
Answer:45
Step-by-step explanation:
on edge
PLease help me dont answer if u dont know
Answer:
[tex]a_n=-8+(n-1)-7[/tex]
Step-by-step explanation:
General arithmetic sequence formula: [tex]a_n=a_1+(n-1)d[/tex]
where [tex]a_1[/tex] = first term, and d = common difference.
The first term is -8
And the common difference appears to be - 7 as 7 is subtracted to get to the next term. Ex. -8 - 7 = -15, -15 - 7 = - 22 and so on.
To get the explicit formula of the sequence we simply plug in the values of a1 and d the general arithmetic sequence formula
General formula: [tex]a_n=a_1+(n-1)d[/tex]
We have [tex]a_1=-8[/tex] and d = -7
So the formula to find the nth term would be
[tex]a_n=-8+(n-1)-7[/tex]
