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:
https://brainly.com/question/13419413
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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.
What is the distance between the points? Round to the nearest tenth if necessary.
Answer:
1.7
Step-by-step explanation:
You do rise over run or y/x to find your answer. You go over 6 and up 10 to get from the lower point to the one on top. 10/6=1.666667 and rounded will be 1.7
i suck with this so can some one help
Step-by-step explanation:
[tex]sa = 2\pi(r)(h) + 2\pi{(r) }^{2} [/tex]
[tex]sa = 2\pi(5)(2) + 2\pi{(5) }^{2} [/tex]
[tex]sa = 20\pi + 50\pi[/tex]
[tex]sa = 70\pi[/tex]
Which of the following does not have 90 as a multiple?
7
6
5
3
Answer:
7
Step-by-step explanation:
I don't completely understand what you were asking, but if you were counting by 7's, 91 would be after 84 instead of just 90.
Answer:
7
Step-by-step explanation:
7x14=91, so 1 is not a multiple of 90. Don't really understand tho, plz comment if this is not what you meant.
Im doing this till 3:30
Answer: C
Step-by-step explanation:
First set greater than 300 since Zack has to make more than 300 to make a profit. The equation is the amount he makes (n) - cost of supplies ($32.50). He is completing 4 rooms so multiply (n - 32.5) with 4.
The equation would be 4 (n - 32.5)>300
Now to solve for n, divide 4 on other sides, then add 32.5 to both sides.
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]
a ÷ (2 + 1.5) for a = 14
answer the problem, this is 6th grade work
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
A population of caribou in a forest grows at a rate of 3% every year. If there are currently 208 caribou, which function represents the number of caribou in the forest in t years?
Answer:
f(x)=208^0.3x
Step-by-step explanation:
Think of this as a graph. You start out with 208 caribou, which is your y intercept, as it is there when the growth is 0.
The generic formula fr an exponential equation is a^x.
A represents your initial value. In this case, its 208
x represents the growth. In this case, it's 0.3%.
Your equation should be f(x)=208^0.3x
10 < 2x + 4
_
the sign is a greater than
Answer:
x > 3
Step-by-step explanation:
10 < 2x + 4
- 4 - 4
--------------
6 < 2x
3 < x, x > 3
hope this helps! :D
Answer: no is not that is grater
Step-by-step explanation: because when a number is next to a variable you multiply and that would be eight and that is not greater than 10
What is the range of possible sizes for side x? _ < x < _
Answer:
0.5 < x < 16.5
Step-by-step explanation:
The third side of the triangle must be longer than the difference of the other two sides:
x > (8.5 -8.0)
x > 0.5
And it must be shorter than their sum:
x < (8.5 +8.0)
x < 16.5
The third side must be in the range ...
0.5 < x < 16.5
_____
These limits are a direct consequence of the triangle inequality, which requires the sum of the two shortest sides exceed the length of the longest side.
Which calculation and answer show how to convert 3/12 to a decimal?
Answer:
c
Step-by-step explanation:
3/12= 1/4=0.25
Answer:
C
Step-by-step explanation:
step 1
Address input values.
Input values:
The fraction number = 3/12
step 2
Write it as a decimal
3/12 = 0.25
0.25 is the decimal representation for 3/12
For Percentage Conversion :
step 1
To represent 0.25 in percentage, write 0.25 as a fraction
Fraction = 0.25/1
step 2
multiply 100 to both numerator and denominator
(0.25 x 100)/(1 x 100) = 25/100
25% is the percentage representation for 3/12
55x + 10 = 230
What is x?
Answer:
x = 4
Step-by-step explanation:
55x + 10 = 230
=> 55x = 230 - 10
=> 55x = 220
=> x = 4
Therefore, x = 4.
Hoped this helped.
Answer:
x= 4
Step-by-step explanation:
solving equation step-by-step.
55x + 10 = 230
Subtract 10 from both sides.
55x + 10 − 10 = 230 − 10
55x = 220
Divide both sides by 55.
55x/55 = 220/55
x= 4
Our Answer: x= 4
Glad to help :)
The cost of a service call to fix a washing machine can be expressed by the linear function y = 45 x + 35, where y represents the total cost and x represents the number of hours it takes to fix the machine. What does the y-intercept represent? the cost for each hour it takes to repair the machine the service fee for coming to look at the machine the total cost for fixing the washing machine the amount of time that it takes to arrive at the home to make the repairs Mark this and return
Answer:
The total cost for fixing the washing machine
Step-by-step explanation:
Answer:
The y-intercept represents the service fee for coming to look at the machine. In other words, your answer would be:
B.) the service fee for coming to look at the machine
Step-by-step explanation:
Have a great rest of your day
#TheWizzer
Solve for x:
x³=23
Choose all that apply:
∛23
3
1
23/3
What is the probability of choosing a burrito with cheese and a taco or wrap with salsa??
Step-by-step explanation:
50/50 chance of choosing one or the other because there is only two options
Morgan has an 8 1/2 foot board that must be cut into boards that are feet long. How many of the smaller boards can he get from the 8 1/2 foot board?
Which of the following equations could you use to solve the problem?
x * 8 1/2 = 5/6
8 1/2 * x = 5/6
5/6 * 8 1/2 = x
8 1/2 / 5/6 = x
Answer:
8 1/2 / 5/6 = xStep-by-step explanation:
8 1/2 foot board to be cut into 5/6 feet boards.
Number of smaller boards is:
8 1/2 ÷ 5/6 = 17/2 ÷ 5/6 = 17/2 × 6/5 = 51 / 5 = 10 (the whole part)Correct equation is D
A diving board is 12 feet above the ground. The bottom of the pool is 16 feet below the ground. Write and solve an equation that gives the distance from the diving board to the bottom of the pool.
Answer:
28 ft
Step-by-step explanation:
since we're trying to find the distance between them you have to add 12 and 16 to get 28 and it tells how many feet the distance is between the bottom of the pool and the diving board
Answer:
28 feet
Step-by-step explanation:
To find the distance between them, add 12 and 16 to get 28, it tells how many feet the distance is between the bottom of the pool and the diving board.
141x + 50 + 4x = 340
What is x?
Answer:
x = 2
Step-by-step explanation:
141x + 50 + 4x = 340
=> 145x + 50 = 340
=> 145x = 290
=> x = 2
Hoped this helped.
Simplify both sides of the equation
141x+50+4x=340(141x+4x)+(50)=340(Combine Like Terms)145x+50=340145x+50=340Subtract 50 from both sides
145x+50−50=340−50145x=290Divide both sides by 145
[tex] = > \frac{145x}{145} = \frac{290}{145} [/tex]
x=2
Ans-x=2
Solve this please
⎯.+/⎯.+/
Sarah wanted to buy a TV. She had $390 in her pocket. The TV she wanted was $415; however she had a 10% off coupon. The sales tax is 6%. Does she have enough money to purchase the TV?
Answer: Sarah does not have enough money to purchase the TV.
Explanation: The total price is $395.91.
Answer:
No
Step-by-step explanation:
10% of 415
= 1/10 of 415
= 1/10 * 415
= $41.5
415 - 41.5 = $ 373.5
6% of 415
= 6% * 415
= $24.9
∴ $373.5 + $24.9 = $398.4
∴ Sarah cannot buy the TV as she is $ 8.4 short.
The price of a pair of headphones is $49.99 before tax. Ron bought the headphones for a 50% discount. He then paid sales tax of 8% on the discounted price.
Part A: How much did Ron pay in sales tax? Show all work and steps in your solution. (5 points)
Part B: What is the total amount that Ron paid for the headphones? Show all work and steps in your solution.
Answer:
A. $2.00
B. $26.99
Step-by-step explanation:
0.5 x 49.99 = 24.995
49.99 - 24.995 = 24.995
0.08 x 24.995 = 1.9996 and round to the nearest hundredth
24.995 + 1.9996 = 26.9946
round to the nearest hundredth
Answer:
Part a: 1.9996
Part b: 26.9946
Step-by-step explanation:
STEP 1:
Find the unit rate (1% of 49.99). You should get 0.4999. Then, multiply 0.4999 by 50. You should get 24.995.
STEP 2:
Find the unit rate of 24.995. You should get 0.24995. Then multiply 0.24995 by 8. You should get 1.9996 (answer for part a).
STEP 3:
Add 1.9996 to 24.995. You should get 26.9946 (answer to part b).
Solve 3(x−13)=y−2 for y. Then tell whether x and y show direct variation. Please help me with this. 60 points!
Answer: if you put 60 points onto the question it divides it by 2 for 2 different question get half of what it is so if you want each person to get 60 you need to add 120 points
Step-by-stepStep-by-step explanation:
Answer:
y=3x+13
Step-by-step explanation:
help quick please!!
if
JK=9x+3
KL=5x+2
JL=75
find KL.
Translate the word phrase into a math expression.
1 less than a number.
A. n + 1
B. n−1
C. 1−n
D. 15 ÷ n
HELPPPPPP ASAP PLSPLSPLSPLSPLSPLSPLSPLSPLS
As a tornado approaches, the air temperature changes −8.2°F every hour.
Which value represents the change in air temperature over 1.6 hours?
−5.125°F
−6.6°F
−9.8°F
−13.12°F
a house can be painted in 5 days by ৪ workers. how long will it take for 12 workers to paint the same house
Answer: 5 days I think. :)
Step-by-step explanation:
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.
helpppppppppppppppppppppppppppppppppppppppppppp
Answer:
I think it should be [tex]24x^{2}[/tex]
Step-by-step explanation:
When the question said area of the cube, I think it was supposed to be surface area, which would [tex]6a^{2}[/tex] where a is the length of one edge. Given that the length of one edge is 2x, we would plug in 2x to the equation to get[tex]6*(2x)^{2}[/tex] which would become [tex]24x^{2}[/tex].
when rounding to estimate this sum, what do you do first?
389+190=
A. Add the digits in the hundreds place
B. round the addition problems 400+200
C. round the addition problems 300+100
Answer:
BStep-by-step explanation:
this is because it would be more accurate than a and b
a would end up as 400
b would end up as 600
c would end up as 400
the actual answer is 579
it is closest to B