Farmer John can till his field 1.5 times faster than Farmer Bob. If they work together, they can till the field in 6 hours. How long would it take Farmer John on his own

Answers

Answer 1

Answer:

It would take Farmer John 10 hours on his own to till his field.

Step-by-step explanation:

Let;

J = Time spent by John alone

B = Time spent by Bob alone = 1.5 * J = 1.5J

Time spent by both = 6

Using reciprocal, time spent by John alone can be calculated as follows:

(1 / J) + (1 /1.5J) = 1 / 6

Multiply through by 6J and solve for J, we have:

(6J / J) + (6J / 1.5J) = 6J / 6

6 + (6 / 1.5) = J

J = 6 + 4 = 10

Therefore, it would take Farmer John 10 hours on his own to till his field.


Related Questions

Solve for y
*show your work *


6y - 3x = 12

1/2 x + 1/4 y = 2

Answers

Step-by-step explanation:

if negative sign is there we must add and if positive sign is there subtraction should be written there.....

What place value docs the 6 have in 764,328

Answers

Answer:

It's in the ten thousands place

Step-by-step explanation:

700,000

60,000

4,000

300

20

8

764,328

Hope this helps. Have a nice day

Answer:

6 is in the ten thousandth place

what is the median for 9, 37, 39, 13

Answers

Answer:

i'm not sure

Step-by-step explanation:

Answer:

(13+37)/2 = 25

Step-by-step explanation:

The measures of the angles of a triangle are shown in the figure below. Solve for x.

Answers

Answer:

x = 25

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Geometry

All angles in a triangle add up to 180°

Step-by-step explanation:

Step 1: Set Up Equation

29° + (4x + 9)° + (x + 17)° = 180°

Step 2: Solve for x

Combine like terms:                    5x + 55 = 180Isolate x term:                              5x = 125Isolate x:                                       x = 25

WHATS THE SLOPE BETWEEN THE POINTS (-2,8) AND (4,20)​

Answers

Answer:

m = 12 / 6 = 2 / 1 = 2

Step-by-step explanation:

1.) Plug the points into the formula Y2-Y1/X2-X1. This should come out to be 20-8/4- -2. The 4 minus -2 turns into 4+2 because a double negative turns into a positive.
2.) You’ll then have 12/6. Divide it out and you get 2/1 or 2.

Answer: Slope is 2/1 or 2

How can I find the answer for number 1 and 4 with explanation?​

Answers

Answer:

Concept: Sequences & Series

The hint here is to try to find the common factor, you asked us to solve 1 so see the solution below.

1,-3,9, -27 : We see a common base of 3 hence we can find that the series representation is [tex]( - 3) ^{n-1} [/tex]

Next we can find the next 3 terms by just plugging in the values

We want the 6th, 7th, and 8th term

So we plug 6 in for n and 7 in for n and 8 in for n

So we get the 6th term=-243

The 7th term= 729

The 8th term= -2187

Answer:

Step-by-step explanation:

1) 1 , -3 , 9 , -27 , 81 ,...........

It is Geometric sequence

ratio = 2 term ÷ first term = -3 ÷ 1 = -3

1st term = 1

2nd term = 1 * -3 = -3

3rd term = -3 *(-3) = 9

4th term = 9 *(-3) = - 27

6th term = 81 *(-3) = -243

7th  term = -243 *(-3) =  729

8th term = 729 *(-3) = -2187

Next 3 terms:  - 243 , 729 , - 2187,....

4)

[tex]\frac{1}{2}, \frac{1}{2} , \frac{3}{8} , \frac{1}{4} ,\frac{5}{32},.....\\\\\\Rule = \frac{n}{2^{n}}\\Term1 = \frac{1}{2^{1}}=\frac{1}{2}\\\\Term2 = \frac{2}{2^{2}}=\frac{2}{4}=\frac{1}{2}\\\\Term3 = \frac{3}{2^{3}}=\frac{3}{8}\\\\Term4 = \frac{4}{2^{4}}=\frac{4}{16}=\frac{1}{4}\\\\Temr5 = \frac{5}{2^{5}}=\frac{5}{32}\\\\Term6 = \frac{6}{2^{6}} = \frac{6}{64} = \frac{3}{32}\\\\Term7 = \frac{7}{2^{7}}=\frac{7}{128}\\\\Term8 =\frac{8}{2^{8}} = \frac{8}{256}=\frac{1}{32}\\\\[/tex]

Next 3 terms are : 3/32 , 7/128 , 1/32


Which of these statements correctly compares the graphed function f(x) to the function
g(x)= x/2 +5

Answers

Answer: g= x+10/2x

Step-by-step explanation: Here a picture if you see it, hope this help

What the person above me said it sounds right I need points

Gary's pay is $15 per hour. He receives a 6% pay raise.

Answers

The question is incomplete, the complete question is;

Gary's pay is $15 per hour. He receives a 6% pay raise.

Which method can Gary use to correctly calculate his new hourly pay rate?

Choose Yes or No for each method.

Answer:

Multiply 15 by 0.06 and add the result to 15 is the correct method

Step-by-step explanation:

Now when you are told to obtain the percentage, it simply means to multiply the given percentage by the number.

Here is what i mean;

6% of 15 simply means

6/100 * 15

Or

0.06 * 15 = 0.9

Since his basic pay of $15 was increased by this percentage, we have to add $0.9 so we have;

15 + 0.9 = $ 15.9

Karen and James both had 30 stocking stuffer items on their shopping list. After black Friday shopping Karen had finished 35% of her shopping After black Friday shopping James had finished 60% of his shopping HOW MANY MORE items has James purchased than Karen?

Answers

Answer: 7.5 items

Step-by-step explanation:

Both Karen and James had 30 stocking items.

Karen bought 35% of her items;

= 35% * 30

= 10.5 items

James has bought 60%;

= 60% * 30

= 18 items

= 18 - 10.5

= 7.5 items

Sean mixes coconut oil with several other ingredients to make homemade toothpaste for his dog Rocky. He uses 1/2 cup of coconut oil to make 2/3 cup of toothpaste. How much coconut oil does Sean use per cup of toothpaste?

Answers

Answer:

3/4 cup of coconut

Step-by-step explanation:

Given:

[tex]\frac{1}{2}[/tex] cup of coconut for [tex]\frac{2}{3}[/tex] cup of toothpaste

Required

Determine how much oil for a cup of toothpaste

Represent Coconut with C and Toothpaste with T;

So,

When

[tex]C = \frac{1}{2}\ \ T = \frac{2}{3}[/tex]

We're to solve for

C when T = 1

This can be represented as:

[tex]\frac{1}{2} = \frac{2}{3}[/tex] --- 1/2 to 2/3

[tex]C = 1[/tex]

Cross Multiply:

[tex]C * \frac{2}{3} = \frac{1}{2} * 1[/tex]

[tex]\frac{2}{3}C = \frac{1}{2}[/tex]

Solve for C

[tex]C = \frac{1}{2}/\frac{2}{3}[/tex]

[tex]C = \frac{1}{2}*\frac{3}{2}[/tex]

[tex]C = \frac{3}{4}[/tex]

This means Sean needs 3/4 cup of coconut oil

Answer:

[Picture contains answer]

PICTURE EVIDENCE:

Plz help my teacher isn’t emailing my back

Answers

Answer:

ugh'

Step-by-step explanation:

12 and  4 i could be wrong sozStep-by-step explanation:

A pound of apple costs $2.50. Represent the cost of n pounds.

Answers

Answer:

2.50n

Step-by-step explanation:

If im reading this right you're trying to represent the number of n pounds, so 2.50 * n

say you had 3 pounds:

2.50 (3) = 7.50

write an equation in slope intercept form given slope and point for following (9,-4) slope 2/3 please helpppp

Answers

Answer:

y=2/3x -10

Step-by-step explanation:

y= m x + b

m=slope

slope = 2/3

b= y-intercept

plot point (9,-4) and count down two, left three, until reach y axis.

7y+65.7=2 true or false(don't answer that I just don't want this taken down(unless you do actually have the answer) is anyone in the middle of school coming up with random math problems that you know are incorrect but still ask your teacher if they are right anyway? cause same (20 POINTS IF YOU ANSWER AND BRAINLIEST IF YOU ANSWER MY "QUESTION")

Answers

It's false and same lol

Use a graphing calculator to graph the function below. What is the
minimum value of the function?
y= 22 + 8x + 7
-13
-9
-6
-3

Answers

Answer:

-3

Step-by-step explanation:

What is the approximate circumference of the circle shown below

Answers

Answer: A) 46.5 cm

Step-by-step explanation:

Circumference = 2 π r or Circumference = π d

In this case, they give us the diameter = 14.8 cm. Therefore the radius = 14.8/2 = 7.4 cm.

π ≈ 3.14.

We can use either equation above, but because the diameter was given, we will use c = πd for simplicity.

C = π d

= (3.14)(14.8)

= 46.47 cm, which rounds to 46.5 cm

Write the expanded form

21.061

Answers

Answer:

(2 x 10) + (1 x 1) + (0 x 0.1) + (6 x 0.01) + (1 x 0.001).

20+1+0.0+0.06+0.001

Hope this helps

Have a great day/night

Isaac is purchasing two pairs of shoes—one pair for $37.00 and the second pair for $42.00. The state sales tax applied to Isaac’s bill is 7%. How much is Isaac’s total bill? If Isaac uses a coupon entitling him to a 25% discount off the purchase price before tax, how much will his bill be? Assume that a 7% sales tax is applied to the discounted price. Using words, explain how you found the discounted price.

Answers

Answer:
7.11 and 9.48

Step-by-step explanation:

.12 is equal to 7.11
with out coupon

.12 is equal to 9.48
with the coupon

GIVING BRAINLIEST OUT FOR WHOEVER IS CORRECT AND FAST!
Look closely at the screenshot.

Answers

Answer:

Yes the standard form is 3 * 10^7+73

3*10^7+7*10+1*3

= 3 * 10^7+73

Step-by-step explanation:

hope this helps,

Please give brainliest if you like my answer,

Have a great day

Answer:

14x10∧8

Step-by-step explanation:

help me with my math for brainiest:)

Answers

Answers:
1. P=3

Step by step:
P-5=-2 -move the constant to the right hand side and change its sign

P=-2+5 - calculate the sum

P=3


2. W=-2.8

Step by step:
W+13.2=10.4 - move the constant tot he right hand side and change its sign

W=10.4-13.3 - calculate the difference

W=-2.8

3. X=2/3

Step by step:
X-5/6=-1/6 - move the constant to the rig hand side and change its sign

X=-1/6+5/6 - calculate the sum

X=2/3


Given that f(x) = x^2 + 16x + 63 and g(x) = x + 9, find f(x) + g()

Answers

Answer:

f(x) + g(x) = x² + 17x + 72

If you want to factor that, then it comes out as:

f(x) + g(x) = (x + 8)(x + 9)

Step-by-step explanation:

[tex]f(x) + g(x)\\= x^2 + 16x + 63 + x + 9\\= x^2 + 17x + 72\\= (x + 8)(x + 9)[/tex]

Which ordered pair is a solution to the system of inequalities?
y>−2 and x+y≤4

Answers

Answer:-2,-3

Step-by-step explanation:

I think the point (1,3) is the answer

can anyone answer this?

Answers

#12 1000 because their is 2 ticks to $2000 meaning that each tick is $1000

#13 slope =1/2 (up 1 over 2) y intercept= 1 because it starts at y(0,1)

#14 y=1/2x+1
#15 this slope means that the savings account saves on average $2000 dollars every 2months.

I hope this helps if it did please help me out by marking this comment as the brainiest answer. Helps me out a lot goodluck

Thomas can process a pile of paperwork in 4 hours less time than Frank. Together they can process the pile in 2.1 hours. How long would it take Frank to do the job alone?

Answers

Answer:

F = 7 hours

Step-by-step explanation:

Let the time taken by Frank to work alone be F.

Translating the word problem into an algebraic equation;

Thomas alone takes (F - 4) hours.

Combine time = 2.1 hours

Their individual work rate expressed in piles per hour are;

Frank = 1/F

Thomas = 1/(F - 4)

Combined rate = 1/F + 1/(F - 4)

Simplifying the equation, we have;

Combined rate = (F - 4 + F)/F(F - 4)

Combined rate = (2F - 4)/F(F - 4)

Combined rate = (2F - 4)/(F²- 4F)

Now to find the time taken when they work together is;

(2F - 4)/(F²- 4F) = 1/2.1

Cross-multiplying, we have;

2.1*(2F - 4) = F² - 4F

4.2F - 8.4 = F² - 4F

Rearranging the equation, we have;

F² - 4.2F - 4F + 8.4 = 0

F² - 8.2F + 8.4 = 0

Solving the quadratic equation by factorization;

Factors = -7 and -1.2

F² - 7F - 1.2F + 8.4 = 0

F(F - 7) - 1.2(F - 7) = 0

(F - 7)(F - 1.2) = 0

Therefore, F = 7 or 1.2 hours

The time taken by Frank alone would be 7 hours.

plss plss help asap!!!

Answers

Answer:

[tex]f(x) = - 2x + 7 \\ f( - 5) = - 2( - 5) + 7 \\ f( - 5) = + 17[/tex]

Is x = 3 a solution to the equation below? (substitute and check if they equal each other)
2(2x+1)+x=8x+2-3x


need step by step explanation

Answers

Answer:

yes

Step-by-step explanation:

2(2(3)+1) + 3= 8(3)+2-3(3)

14+3=24+2-9

17=17

Write the expanded form of the following:
a) 21.061
b) 0.358
c) 506.0201
d)126.00

Answers

Answer:

a) 21.061

20+1+0.0+0.06+0.001

b)0.358

0+0.3+0.05+0.008

c)506.0201

500+0+6+0.0+0.02+0.000+0.0001

d)126.00

100+20+6

Happy New year ✨

The sum of x and 6.5 is 11.9. Find
he value of x.

Answers

Answer:

5.4

Step-by-step explanation:

Sum = 11.9

One decimal = 6/5

x = 11.9 - 6.5

  = 5.4

Therefore x is 5.4 :)

Line R T is a perpendicular bisector of Line segment U V. Line R T is a perpendicular bisector of line segment U V. The lines intersect at point S. Line segment U S and S V are congruent. What is true of any triangle created by points U, V, and any point on Line R T other than S? It will be a right triangle. It will be an acute triangle. It will be an equilateral triangle. It will be an isosceles triangle.

Answers

Answer:

D

Step-by-step explanation:

Answer:

D. It will be an isosceles triangle.

Explanation: This is the correct answer on Edge 2021, just took the quiz. Hope this helps ^-^.

What is the slope of the line perpendicular to the line with equation 4x-5y+13=0

Answers

Answer:

m = - 5/4

Step-by-step explanation:

If two lines are perpendicular, their slopes are negative reciprocals, which means that their product is -1

We can write the equation

4*x - 5*y + 13  = 0

as:      5*y  =  4*x  + 13      or    

y  = (4/5)*x  + 13        (1)

Equation (1) is the equation of a straight line in its slope point form, 4/5 is the slope, according to this  the slope of a perpendicular line is

-5/4

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