Peter and Steven take 5 1/3 hours to do a job. Steven alone takes 16 hours to do the same job how long would it take peter to do the same job alone?​

Answers

Answer 1

Answer: It would take 8 hours!!

Step-by-step explanation: Hope this helps!! <3

Answer 2

Answer:

Peter will complete the job in 8 hours

Step-by-step explanation:

Notice that  5 1/3 hours is  16%2F3  hours.

So, their combined rate of work is  1%2F%28%2816%2F3%29%29  = 3%2F16  of the job per hour.

Steven's rate of work is  1%2F16  of the job per hour.

Hence, Peter's rate of work is the difference  3%2F16 - 1%2F16 = 2%2F16 = 1%2F8  of the job per hour.

It implies that Peter will complete the job in 8 hours, working alone.


Related Questions

Suppose a normal distribution has a mean of 62 and a standard deviation of
4. What is the probability that a data value is between 57 and 65? Round your
answer to the nearest tenth of a percent.
A.66.8%
B.67.8%
C.69.8%
D.68.8%

Answers

Answer:

0.66772

Step-by-step explanation:

Given that :

Mean (m) = 62

Standard deviation (s) = 4

probability that a data value is between 57 and 65

P(57 < x < 65)

Using the relation :

(x - m) / s

P(x < 57) :

(57 - 62) / 4 = - 1.25

P(Z < - 1.25) = 0.10565 ( Z probability calculator)

P(x < 65) :

(65 - 62) / 4 = 0.75

P(Z < 0.75) = 0.77337 (Z probability calculator)

P(Z < 0.75) - P(Z < - 1.25)

0.77337 - 0.10565 = 0.66772

Answer:

66.8%

Step-by-step explanation:

Just took the test

Make h the subject of the formula x = 5h + 8

Answers

Answer:

h=(x/5)-8

Step-by-step explanation:

i hope that helps

Formula for h is, h = 1/5 (x - 8).

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The formula is,

⇒ x = 5h + 8

Now, We can solve the formula for h as;

⇒ x = 5h + 8

Subtract 8, we get;

⇒ x - 8 = 5h + 8 - 8

⇒ x - 8 = 5h

Divide by 5;

⇒ 1/5 (x - 8) = h

⇒ h = 1/5 (x - 8)

Learn more about the mathematical expression visit:

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Write 8% as a fraction or mixed number in simplest form.

Answers

Answer:

[tex]\frac{2}{25}[/tex]

Step-by-step explanation:

All percents can be written as a fraction with their denominator as 100.

So, first we can write the fraction as 8/100 and start making it smaller and simplifying it.

[tex]\frac{8}{100}[/tex] can be divided by 4 since that is the GCF ( Greatest common factor)

Now, the numerator would be 2 and the denominator would be 25 as shown below ...

[tex]\frac{2}{25}[/tex]

This is the simplest form of 8% as a fraction

Hope this Helps!!! :)

Let me know in the comments if the answer was perfect or if I should change anything!!!

The simplest form of the 8% as a fraction is 2 / 25.

What is the percentage?

The percentage is defined as representing any number with respect to 100. It is denoted by the sign %.

All percentages can be written as a fraction with their denominator as 100. First, write the fraction as 8/100 and start making it smaller and simplifying it.

Fraction = 8 /100

Fraction = ( 4 x 2) / ( 4 x 25)

Fraction  = 2 / 25

Thus, the 8% in the fraction is 2 / 25.

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What is the solution to the equation x + 14 = 63? (Input a whole number only.) (3 points)

Answers

The answer is:

Substitute 49 for x

49 + 14 = 63

Hope this helps!

Answer:

49

Step-by-step explanation:

49 + 14 = 63

so that means:

x = 49

y=-x-4
4y - 2x = 8
Using the graphing method, which of the following choices is the solution of the system:
ОООО
(-6, -2).
(-4, 0)
Infinite solutions
No solution

Answers

Answer:

(-4 , 0)

Step-by-step explanation:

Graph attached

A gas tank holds exactly 13 gallons. If the tank is 2/3 empty, how many gallons remain in the tank? (Round your answer to the nearest tenth)
Group of answer choices-

4.3

5.5

6.5

8.7

Answers

The answer is 8.7 gallon

I need the answer ASAP, i will give you brainliest FR‼️‼️⁉️

Answers

Answer:

well for me I think

Step-by-step explanation:

+10

T=-4.3+10

T=5.7°C

where do i place the dots/arrows? will give brainliest!!!

Answers

Answer:

Step-by-step explanation:

first 95 x 60 (60 because there is 60 minutes in an hour) then multiply that number by 10 then start ploting the numbers up for example it goes 57,000 then multiply that by 2 and keep ploting.

Sam's age is 2 years less than 3 times Kim's age. If Kim's age is x years, which expression best shows Sam's age?

x
x − 1
2x − 3
3x − 2

Answers

Answer:

3x - 2

Step-by-step explanation:

3 times Kim's age (x), so 3x; minus 2 years (Sam's age).

Answer:

The answer is 3x - 2  :)

Step-by-step explanation: 3x = 3 times Kim's age (x) minus 2

Write the slope-intercept form of the equation of the line through the given point and slope.

Point: (-1, 2)

Slope: 1.

Answers

Answer:

y=x+3

Step-by-step explanation:

same as the last one =)

16 > 2y - 4 solve for y ​

Answers

Answer: y<10

Step-by-step explanation:

2y<16+4

2y<20

y<10

Answer:

Step-by-step explanation:

Simplifying

16 = 2y + -4

Reorder the terms:

16 = -4 + 2y

Solving

16 = -4 + 2y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-2y' to each side of the equation.

16 + -2y = -4 + 2y + -2y

Combine like terms: 2y + -2y = 0

16 + -2y = -4 + 0

16 + -2y = -4

Add '-16' to each side of the equation.

16 + -16 + -2y = -4 + -16

Combine like terms: 16 + -16 = 0

0 + -2y = -4 + -16

-2y = -4 + -16

Combine like terms: -4 + -16 = -20

-2y = -20

Divide each side by '-2'.

y = 10

Simplifying

y = 10

PLZ answer the QUESTION IF U KNOW THE ANSWER

what two properties were using this equivalent expression ​

Answers

1. Associative property
2. Distributive property

Please answer quick

Answers

Answer:

4# 4x2 + 6x - 6

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

x^2+2x-5+3x^2+4x-1=4x^2+6x-6=4x^2+6x-6

Hope you'll find it helpfull

plz help this is very confusing

Answers

Answer:

[tex] x \ge 15 [/tex]

Step-by-step explanation:

An isosceles ∆ has 2 equal sides. The perimeter of a ∆ is the sum of all its sides.

Given that the perimeter of the triangle above is "at least 137 ft", this means the sum of all its sides is equal to or greater than 137 ft.

Thus, using inequality, this can be represented as:

[tex] 2(2x + 7) + 4x + 3 \ge 137 [/tex]

Solve for x

[tex] 4x + 14 + 4x + 3 \ge 137 [/tex]

Add like terms

[tex] 8x + 17 \ge 137 [/tex]

Subtract 17 from both sides

[tex] 8x + 17 - 17 \ge 137 - 17 [/tex]

[tex] 8x \ge 120 [/tex]

Divide both sides by 8

[tex] \frac{8x}{8} \ge \frac{120}{8} [/tex]

[tex] x \ge 15 [/tex]

What’s three more than seventeen?

Answers

twenty

hope this helps :)
20! Hope this helps!

Evaluate Ss 15 51 when s =
5 and t = 7.

Answers

Jejsjdjdjdjdjdjdjnejeje

Complete the similarity statement for the two triangles shown. L 25 ft 18 ft 10 ft Z 55 ft 01 22 ft Enter your answer in the box. A D 45 ft Δ DPL »Δ P Р 3 4 5 6 7 8 9 10​

Answers

Answer:

∆DPL ~ ∆QAZ

Step-by-step explanation:

In the diagram given, the following can be deduced:

<D is congruent to <Q

<P is congruent to <A

<L is congruent to <Z

From these, looking at the letter arrangement, the similarity statement can be written as:

∆DPL ~ ∆QAZ

Write 5.7% as an equivalent decimal.
O
A 5.7
O
B 0.57
O
C 0.057
D 570

Answers

Answer:

the answer is C

Step-by-step explanation:

[tex]5.7\% = \frac{5.7}{100} = 0.057[/tex]

C. Move the decimal point two places to the left, and that's your answer.

3/4 + 1/12 helppppppppppppppp

Answers

Answer:

The answer is 5/6.

Step-by-step explanation:

HELP ASAP PLEASE LEAVE SMALL EXPLANATION ITS DUE RLLY SOON

Answers

Answer:

1.  y=3x-4

2. y=-3x+4

3. y= -1/3x+4

4. y= 1/3x-4

Step-by-step explanation:

1. slope= change in y/ change in x

  slope= -1-(-4)/1-0=3

  y=3x+b

 -4=3(0)+b

   b=-4

y=3x-4

2. slope=4-10/0-(-2)= -3

y=-3x+b

b=4

y=-3x+4

3. slope= -1/3

y=-1/3x+b

3= -1/3(3)+b

3= -1+b

b=4

y= -1/3x+4

4. y= 1/3x-4 (last one)

42. Which of the following is TRUE about the princal square riot
number?
A. always positive
C. sometimes positive
B. always negative
I sometimes negative​

Answers

Answer:

a. always positive

Step-by-step explanation:

Alex learning?

can somebody do this please

Answers

Answer:

12y - x - 28 = 0

Step-by-step explanation:

............

12y what the guy above my said is right


Pls help I’ll mark brainliest

Answers

the awnser is option D
I’m pretty sure it’s D

Anyone can answer?? if u can thank u soooo much it means the world to me

Answers

Answer:

Tulips• 7, 14, 21, 28 and 35.

Carnations• 3, 6, 9, 12 and 15.

Other:

Find above the whole number ratio for the tulips and carnations graph. Brainliest? Thanks!

Find θ. Round to the nearest degree. Right Triangle Trigonometry.

Answers

Answer:

64 =theta

Step-by-step explanation:

We have a right triangle.

We know the adjacent side and the hypotenuse

adjacent/ hypotenuse = cos theta

7/16 = cos theta

Take the inverse cos of each side

cos ^-1 ( 7/16) = cos ^ -1 cos theta

64.05552023 = theta

64 =theta

Answer:

≅ 64°

Step-by-step explanation:

using rule of cos invers

[tex]Cos^{-1} (\frac{7}{16} )=64.05\\[/tex]

Nola hiked down a trail at a steady rate for 10 minutes. Her change in elevation was -170 feet. Then she continued to hike down another 20 minutes at a different rate. Her change in elevation for this part of the hike was -260 feet. During which portion of the hike did she walk down at a faster rate?
PLEASE HELP

Answers

If you divide 170 by 10, you get:
170/10 = 17
I turned the -170 into a positive because when you divide them, you get 17 miles per minute, you can’t get -17 miles.
Then, you divide 260 by 20, and you get :
260/20 = 13
So, 17>13
Which means that’s Nola walked faster when she walked for 10 minutes.
I’m pretty sure that this is the answer, hope this helps. Do you mind making this brainliest?

1 4/7
_______
- 15/ 21​

Answers

Answer: -11/5

Step-by-step explanation:

[tex]\frac{11}{7}[/tex]÷[tex]\frac{-15}{21}[/tex]

-[tex]\frac{11}{7}[/tex]× [tex]\frac{21}{15}[/tex]

-11×[tex]\frac{3}{15}[/tex]

-11 × [tex]\frac{1}{5}[/tex]

Estimate the value of y when x=2.5

Answers

Go to 2.5 on the X-axis. Move up from there until you hit a point. That is the value of Ŷ.

Find the errors and identify them
1. (x) (Ew) (y) (Abaxwy v (Ez) Bzzxy) p
2. ~Abaawc p
3. (Ew) (y) (Abaawy v (Ez) Bzzxy) UI, 1
4. (y) (Abaawy v (Ez) Bzzxy) EI, 3
5. Abaawc v (Ez) Bzzxy UI, 4
6. (Ez) Bzzxy DS 2,5
7. Byyxy EI, 6
8. (x) Byyxy UG, 7
9. (x) Byyxy v ~Axxaabb ADD 8
10. (Ez) ( (x) Byyzy v ~ Azzaabb) EG, 9 g

Answers

Answer:

this is confused me so much is it supposed to be a trick or is that a actual question-

A basketball player makes 65% of all free throws in her first 5 seasons. In her 6th season she makes 105 out of 150 free throws. How does the observed frequency of her 6th season compare to the expected frequency? Provide a possible explanation for any similarities or differences in the frequencies. 7.50.3.7
(35 points i think)

Answers

If a basketball player makes 65% of all free throws in her first 5 seasons. The observed proportion is higher than the expected proportion, indicating that the player performed better than expected in her 6th season.

What is the observed frequency of her 6th season?

The expected frequency of successful free throws in the 6th season can be calculated based on the player's overall success rate in the first 5 seasons. Since the player made 65% of all free throws in her first 5 seasons, we can expect her to make 65 out of 100 free throws in any given season. Therefore, the expected frequency of successful free throws in the 6th season would be:

Expected frequency = (65/100) * 150 = 97.5

The observed frequency of successful free throws in the 6th season is 105.

To compare the observed and expected frequencies, we can calculate the standardized residual (z-score) as follows:

z-score = (observed frequency - expected frequency) / sqrt(expected frequency * (1 - expected frequency / total sample size))

total sample size = 150

expected frequency = 97.5

observed frequency = 105

z-score = (105 - 97.5) / sqrt(97.5 * (1 - 97.5/150)) = 1.28

The z-score of 1.28 suggests that the observed frequency is 1.28 standard deviations above the expected frequency. This indicates that the player's success rate in the 6th season is higher than what would be expected based on her overall success rate in the first 5 seasons.

Possible explanations for the difference in frequencies could be due to factors such as improvements in the player's technique, changes in the player's physical or mental state, or random variation. It is also possible that the sample size of 150 free throws in the 6th season is not large enough to draw definitive conclusions about the player's success rate in that season.

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