Bethany can mow her family’s lawn in 4 hours. Her brother Colin can mow the lawn in 3 hours. Which equation can be used to find the number of hours, x, it would take for Bethany and Colin to mow the lawn together?

Answers

Answer 1

Answer:

Step-by-step explanation:

t/4+t/3=1

(3t+4t)/12=1

7t/12=1

7t=12

t=12/7

x=(12/7)hours

Answer 2

Answer:

1/4 + 1/3 = 1/x

Step-by-step explanation:

"Bethany can mow her family’s lawn in 4 hours."

In 1 hour, she does 1/4 of the job.

"Her brother Colin can mow the lawn in 3 hours."

In 1 hour, he does 1/3 of the job.

When they work together, in 1 hour they do 1/4 + 1/3 of the job.

When they work together, they can mow the lawn in x hours.

In 1 hour, they do 1/x of the job. This means that 1/4 + 1/3 must equal 1/x.

1/4 + 1/3 = 1/x


Related Questions

I WILL GIVE BRAINLIST NEED HELP ASAP

Jeff stacked 4 identical
solid blocks, each with the dimensions shown below.

What is the volume of the stack of blocks Jeff made?
A
72 cubic inches
B
120 cubic inches
C
288 cubic inches

Answers

Answer:

288 Inches^3

Step-by-step explanation:

1 Box:-

V=L*W*H, V=6*4*3, V=72 inches^3

4 Box:-

1 Box=72, 72*4=288 inches^3

*I am not 100% sure if this is accurate or not.*

Answer:

The answer is C witch is 288 cubic inches

Step-by-step explanation:

if you muliply all the sides times 4 you would get 288

3x6x4x4=288

Which point is located at (2, 3)?
A
B
C
D

Answers

Answer:

a

Step-by-step explanation:

The answer is point c

check whether x² +4x +4 is prefect spuare expression or not . if so factorise the expression

Answers

Answer:

It is a perfect square expression.

It factors to (x+2)^2

===========================================================

Explanation:

The general format for a perfect square is

(a+b)^2 = a^2 + 2ab + b^2

Which can be seen through the use of the FOIL rule.

Compare x^2+4x+4 with a^2+2ab+b^2, and we have these three equivalences:

x^2 = a^2 .... first terms4x = 2ab .... middle terms4 = b^2 .... last terms

Since x^2 = a^2, we can apply the square root to both sides to get a = x. Similarly, 4 = b^2 leads to b = 2. We could get b = -2, but that would mean 2ab = 2x*(-2) = -4x instead of 4x. So we'll stick with b = 2 instead.

Because a = x and b = 2, we then can say:

(a+b)^2 = a^2 + 2ab + b^2

(x+2)^2 = x^2 + 2*x*2 + 2^2

(x+2)^2 = x^2 + 4x + 4

Showing that x^2+4x+4 factors to (x+2)^2.

The sales tax in your city is 4.4% and an item costs $3 before tax. How much tax would you pay on that item. (round to nearest hundredth or cent.)

Answers

Answer: 0.13

3 times 0.044 =0.13

Step-by-step explanation:

Laura goes to a Mexican restaurant for lunch she's planning to order either a chicken or beef dish if there are a choices for chicken and 12 choice es for beef how many options does Laura have to choose from

A. 4
B. 8
C. 12
D. 20

Answers

C hope that helps have a good one

look at the photo to answer
17 POINTS!!!

Answers

I think the answer is D I don’t know if I’m wrong.

Someone :) is there anyone know what is the answer?

Answers

Answer:

answers are below

Step-by-step explanation:

a. -6 ≤ 3x < 15

steps in order to solve:

-6 ≤ 3x

= -6/3 ≤ 3x/3

= -2 ≤ x

3x < 15

= 3x/3 < 15/3

= x < 5

=> -2 ≤ x < 5

b. -3 < 2x - 1 < 7

steps in order to solve:

-3 < 2x - 1

= 1 - 3 < 2x - 1 + 1

= -2 < 2x

= -2/2 < 2x / 2

= -1 < x

2x - 1 < 7

= 2x - 1 + 1 < 7 + 1

= 2x < 8

= 2x/2 < 8/2

= x < 4

=> -1 < x < 4

c. 7 < -3n + 1 ≤ 13

steps in order to solve:

7 < -3n + 1

= -1 +7 < -3n + 1 - 1

= 6 < -3n

= 6/-3 < -3n/-3

= -2 > n

-3n + 1 ≤ 13

= -3n + 1 - 1 ≤ 13 -1

= -3n < 12

= -3n/-3 < 12/-3

= n > -4

=> -4 < n < -2

graphs are below.

hope this helps and is right :)

Sam has 31 quarters and dimes. The value is $6.85
. How many dimes are there ?

Answers

the closest answer is 9 dimes because that means you’d have 22 quarters which is 5.50 plus .90

Ben bought a new computer for $1200. Each yedt, the value of the computer decreases
by 30% of the previous year's value. At this rate, what can Ben expect the approximate
value of the computer to be after 6 years?
$130
$360
$0.88
$141

Answers

Answer:

$141

Step-by-step explanation:

1200-(1200*30/100 )

and i did that six time each tume with the new numbers i got

An area rug has the dimensions of 4 feet x 8 feet. How many square inches is that?

Answers

Answer:

Step-by-step explanation:

This is because 4 ft x 8 ft = 24 feet

24 feet times 12 (this is because there 12 inches in a foot)

288 inches

Write a quadratic equation ax²+ bx + C = 0, whose coefficients are a =-9, b = 0, c = -2

Please I really need your help for this ​

Answers

ax² + bx + c = 0

Let's write -9 where we see A:

-9x² + bx + c = 0

Let's write 0 where we see B:

-9x² + 0.x + c = 0

(Since B = 0, when it is multiplied by x, it becomes 0 again)

-9x² + c = 0

Let's write -2 where we see C:

-9x² + -2 = 0

Now we can move on to solving our equation:)

Let's put the known and the unknown on different sides:

(-2 goes to the opposite side positively)

-9x² = 2

(it goes as a division because it is in the case of multiplying -9 across)

x² = 2/-9

I could not find the rest of it, but I did not want to delete it for trying very hard. Sorry. It felt like we should take the square root, but I couldn't find it, maybe this can help you a little bit.

Please do not report:(

I hope I got it right, I'm trying to improve my English a little :)

Greetings from Turkey:)

#XBadeX

The quadratic equation ax²+ bx + C = 0, whose coefficients are a = -9, b = 0, c = -2 will be -9x² + -2 = 0

What is the equation?

An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.

It is given that,coefficients fore the equation,ax²+ bx + C = 0, is a =-9, b = 0, c = -2

We have to write a quadratic equation as,

Any equation of the form ax²+bx+c=0  where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

ax² + bx + c = 0

-9x² + 0x + (-2) = 0

-9x² + -2 = 0

-9x² + -2 = 0

Thus, the quadratic equation ax²+ bx + C = 0, whose coefficients are a =-9, b = 0, c = -2 will be -9x² + -2 = 0

Learn more about the equation here,

https://brainly.com/question/10413253

#SPJ6

find the area of the minor sector
1 r=9cm,tita=70​

Answers

Answer:

The area is 49.5 cm^2

Step-by-step explanation:

To find the area of the sector, we are going to use the formula for the area of a sector

Mathematically, we have this as;

A = theta/360 * pi * r^2

r = 9 cm and theta = 70

Substituting these values

A = 70/360 * 3.142 * 9^2

A = 49.5 cm^2

-5(-2x + 5) - 5 < - 6 - 4x
What's the answer, with the explanation.

Answers

Answer:

x <12/7

Step-by-step explanation:

10x-25-5<-6-4x

10x-30<-6-4x

10x+4x<-6+30

14x<24

answer- x< 12/7

Answer:

x<12/7

Step-by-step explanation:

hope that helps

What is the image of (12, 4) after a dilation by a scale factor of 1
centered at the origin?

Answers

Your answer would be the same
(12,4)

The formula for dilation is
(1x,1y)
Meaning they’d just be multiplied by 1

What is the greatest possible value for STATS in the cryptarithm shown here given that V = 1? [Different letters represent different digits, and no leading digit can equal 0.]
Captionless Image

Answers

Answer:

you didnt put the image but it might be 97879

Which graph represents the solution for the equation 3x + 2 = 5x?
**+

Answers

I believe the answer is A because 3x is basically 3 on the x axis plus 2 and that graph have the lines meet at 5x

F is directly proportional to a.
If F = 28 when a = 7 find,
F when a = 10

Answers

Answer:

Step-by-step explanation:

a=10

Step-by-step explanation:

The question can be interpreted as

F∝a

If we introduce proportionality constant k, we have

F= k.a

28= k. 7

k= 28/7

k= 4

Then the equation can be written as

F= 4.a

To find, a when F = 40?

F= 4.a

40=4 × a

a= 40/4

a= 10

Answer:

F = 40

Step-by-step explanation:

Given F is directly proportional to a then the equation relating them is

F = ka ← k is the constant of proportion

To find k use the condition F = 28 when a = 7 , then

28 = 7k ( divide both sides by 7 )

4 = k

F = 4a ← equation of proportion

When a = 10, then

F = 4 × 10 = 40

The solution of 2x-4=20 is​

Answers

Answer:

12

Step-by-step explanation:

2*12-4=20

Answer:

x = 12

Step-by-step explanation:

2x - 4 = 20

2x = 20 + 4

2x = 24

x = 24/2

x = 12

928 plates in 116 stacks how many per plate ?

Answers

Answer:

8 plates per stack

Step-by-step explanation:

Answer:

8 plates per stack

Step-by-step explanation:

if wrong I am so sorry

there are seven people and Luisa's family they have four loaves of cinnamon bread to share equally Luisa wants to know how much cinnamon bread she will get​

Answers

Answer:

[tex]\frac{4}{7}[/tex] of a loave of bread per person

Step-by-step explanation:

Step 1:  Convert words to expressions

Seven people in Luisa's Family = 7 people

Four loaves of cinnamon bread = 4 loaves

Step 2:  Divide people from loaves

4 loaves / 7 people  <-  This means they are splitting 4 loaves of bread between 7 people

[tex]\frac{4}{7}[/tex] of a loave of bread per person

Answer:  [tex]\frac{4}{7}[/tex] of a loave of bread per person

PLZZZZ HELPPPPP BRAINLIEST REWARDD

Answers

Answer:

1) Growth

2) y = 3

Explanation:

1) y = a*b^x

   y = 3 + 2^x

2 > 1, so it's growth

PLEASE HELP DO SOON!!!
What is the length of CD?
What is the length of AB? Round answer to the nearest hundredth.

Answers

Answer:

CD=14AB=9.17

Step-by-step explanation:

to understand thisyou need to know about:circlelet's solve:

according to the question

DF×DG=CD×DEsubstitute the value of DF,DG, and DE:3×4=CD×2simplify multiplication:12=2CDsimplify substraction:2CD/2=12/2therefore CD=6

SECOND QUESTION:

first find the measure of BE

6+2+612+214

according to the question

AB²=BE×BC

square both sides

[tex]\sqrt{AB^{2}}=\sqrt{BE\times BC}[/tex][tex]AB=\sqrt{BE\times BC}[/tex]

substitute the values of BE and BC

[tex]AB = \sqrt{14 \times 6} [/tex]

simplify multiplication:

[tex] \sqrt{84} [/tex]

simplify redical:

9.17

Find the slope of the line that passes through each of the following pairs of points:
(-1,4) and (3,-8)

Answers

Answer:

-12/4

Step-by-step explanation:

Use the slope formula

y2-y1. -8-4

---------- ______ = -12/4

x2-x1. 3-(-1)

Find the volume of each figure. PLZZZ I NEED HELP ASAP!!!!!! :/

Answers

8) v=1/3 x 6^2 x 11
= 132cm^3

10) 80ft^3

11) 72km^3

Hope this helps!!

factor the trinomial
2x^2+10x+8

Answers

Answer:

x^2 + 5x + 4

Step-by-step explanation:

divide everything by 2

Answer:

2(x+4)(x+1)

Step-by-step explanation:

2x^2+10x+8

1. Take out the greatest common factor. Divide by 2

2(x^2+5x+4)

3. Replace 5x with 1x+4x

2(x^2+1x+4x+4)

4. Spilt the equation in half and factor.

2(x^2+1x) = 2(x(x+1) and 4x+4 = 4(x+1)

5. Combine the new terms

2(x+4)(x+1)

pls help. i need help doing this problem and have been going at it for the longest. this is algebra II.

Answers

N in the equation is the number of times it compounds in a year. Since it is compounded yearly n = 1.

A = 1000( 1+ 0.08/1)^(7x1)

A = 1000(1.08)^7

A = $1,713.82

They will have $1.713.82 after 7 years

PLEASE HELP! DUE TONIGHT

Solve x + 3 = - 10
A.x = -13
B. x = 13
C. x= 7
D. x = - 7

Answers

Answer:

The answer is A. x= -13

Step-by-step explanation:

The way that you solve it is change the positive 3 to negative and adding the negative 3 to negative 10.

A) x -13 because -10 - 3 is -13

Dilate D(7,4) by a scale factor of k = 3

Answers

Answer: (21,12)

Step-by-step explanation:

PLEASE ANSWER!!!!! WILL GIVE POINTS!!

Answers

i think a) x= 64 , y=10
b) x= 12 y= 4
c) x=70 y= 7.2

HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP

Answers

Answer:

7 seconds

Step-by-step explanation:

Hello There!

I had created a graph to make it easier to understand

So when y = 0 is when the ball is at the ground

when y = 0 x = 7 so it took about 7 seconds for the ball to hit the ground

Answer:

7

Step-by-step explanation:

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