Jeff can weed the garden twice as fast as his sister Julia. Together they can weed the garden in 3 hours. How long would it take each of them working alone? Which of the following equations could be used to solve this problem?

Answers

Answer 1

Answer:

Jeff, 4.5 hours; Julia 9 hours.

Step-by-step explanation:

To solve the problem, we need to write two equations using the given information.

So, writing the first equation we have:

We know that Jeff can weed the garden twice as fas as his sister Julia, so:

Also, from the statement we know that they can weed the garden in 3 hours, so, writing the second equation we have:

Then, we need to substitute the first equation into the second equation in order to isolate Julia's rate, so, solving we have:

We have that Julia could weed the garden by herself in 9 hours.

So, calculating how long will it take to Jeff, we have:

We have that Jeff could weed the same garden by himself in 4.5 hours.

hope this helps!


Related Questions

What percentage of bolivians are catholic? 77% 82% 87% 92%

Answers

According to a survey report in 2018, the percentage of Bolivians that are Catholics is about: A. 77%

Who are the Bolivians?

The Bolivians are people from the country, Bolivia. The country Bolivia is described a predominantly Catholic country as a result of its relations between the Church and the state.

Based on a survey report in 2018, about 77% of Bolivians were said to be Catholics.

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Answer:

1. b- El trópico

2. A- 77%

Step-by-step explanation:

got a 100 and i jus took the test

John is weighing his jars of coins. his jar of pennies weighs 84.96 ounces, and his jar of nickels weighs 3.11 kilograms. there are 0.0283495 kilograms per ounce. which jar weighs more, and how many more pounds does it weigh? a. the jar of pennies weighs 8.41 pounds more than the jar of nickels. b. the jar of pennies weighs 0.089 pounds more than the jar of nickels. c. the jar of nickels weighs 2.06 pounds more than the jar of pennies. d. the jar of nickels weighs 1.55 pounds more than the jar of pennies.

Answers

The jar of nickels weighs 1.55 pounds more than the jar of pennies. The correct option is d

Calculating weight

From the question, we are to determine the jar that weighs more

From the given information

His jar of pennies weighs 84.96 ounces

and his jar of nickels weighs 3.11 kilograms

First, we will 84.96 ounces to kilogram

From the given conversion,

There are 0.0283495 kilograms per ounce

That is, 0.0283495 kg = 1 ounce

If 1 ounce = 0.0283495 kg

Then,

84.96 ounces = 84.96 × 0.0283495 kg

∴ 84.96 ounces = 2.4086 kg

His jar of pennies weighs 2.4086 kg

Since the John's jar of nickels weighs 3.11 kg, his jar of nickels weigh more.

3.11 kg - 2.4086 kg = 0.7014 kg

Convert 0.7014 kg to pounds

1kg =  2.20462 pounds

∴ 0.7014 kg = 0.7014 × 2.20462 pounds

0.7014kg ≅ 1.55 pounds

Hence, the jar of nickels weighs 1.55 pounds more than the jar of pennies. The correct option is d.

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A- 52/3
B- 52/7
C- 17
D- 3/4​

Answers

The Answer is: A. 52/3

Find the equation of the straight line passing through the point (3,5) which perpendicular y=3x +2 to the line​

Answers

The equation of the straight line that passes through the point (3,5) which is perpendicular to the line y = 3x + 2 is x -3y -18=0

What is an equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

To find the equation of the straight line passing through the point (3,5) which is perpendicular to the line y = 3x + 2, we will first find the slope(m).

To find the slope m of the perpendicular equation;

y = 3x + 2 --------------(1)

comparing the equation above with the standard equation of a circle

y=mx + c

m=3

The slope of the perpendicular equation;

 = -1

3 = -1

Divide both-side of the equation by 3

= -1/3

so, the slope of our perpendicular equation is -1/3

Then, we go ahead to find our intercept

To find the intercept, we will plug in the points and the new slope into the formula y =mx + c

5 = -(3) + c

5 = -1 +c

Add one to both-side of the equation

5+1 = -1 + c + 1

6 =c

c=6

our intercept c is equal to 6

so we can now proceed to form our equation.

y = - x  +  6

Multiply through by 3

-3y = -x + 18

We can rearrange the equation, hence;

x -3y -18=0

Therefore the equation of the straight line that passes through the point (3,5) which is perpendicular to the line y = 3x + 2 is x -3y -18=0

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The line passes through points A (6:0) and B(O:4). Write the equation of the line.​

Answers

Answer:

y = (-2/3)x + 4 or

3y = -2x + 12

Step-by-step explanation:

Slope of line passing through (x₁, y₁) and (x₂, y₂) is given by
[tex]\frac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex]

In this particular case where the points are (6,0) and (0,4) we get the slope as (4-0)/(0-6) = -2/3

Equation of a line with slope m and y intercept c is given by

y = mx + c

substituting for m we get the equation y = (-2/3)x + c

Substituting the first point (6,0) we get

0 = (-2/3)(6) + c or -4 + c = 0 or c =4

Therefore y = (-2/3)x + 4 or multiplying both sides by 3 we get

3y = -2x + 12

Find the volume of the cylinder.
Either enter an exact answer in terms of 7 or use 3.14 for T.
6
units 3

Answers

Answer:

3.14×5(2)×6=471.24

Step-by-step explanation:

you have to take square of 5

Please help with the 4/5 problems:) I completely forgot how to do this! *please show work on how you got your answer!**

Answers

Solve for Volume by Space. All physical objects occupy space, and you can find the volume for some of them by measuring their physical dimensions. ...
Solve for Volume by Density and Mass. Density is defined as an object's mass per a given unit of volume.

A rectangle sticker had a perimeter of 32 centimeters and a area of 48 square centimeters. what are the dimensions of the sticker

Answers

Answer:

4 cm ×12 cm

Step-by-step explanation:

To find the dimensions of the sticker, start by forming 2 equations for its area and perimeter.

Perimeter of rectangle= 2(length +breadth)

Let the length and breadth of the rectangle be L and B cm respectively.

2(L +B)= 32

Divide both sides by 2:

L +B= 16 -----(1)

Area of rectangle= length ×breadth

LB= 48 -----(2)

From (1): L= 16 -B -----(3)

Substitute (3) into (2):

(16 -B)(B)= 48

Expand:

16B -B²= 48

B² -16B +48= 0

(B -4)(B -12)= 0

B -4= 0 or B -12= 0

B= 4 or B= 12

Substitute into (3):

L= 16 -4 or L= 16 -12

L= 12 or L= 4

Thus, the dimensions of the sticker is 4 cm ×12 cm.

simplify 8w+12/4 and make it correct

Answers

Answer:

[tex]8w+\frac{12}{4}[/tex] = 8w+3

[tex]\frac{8w+12}{4}[/tex] = 2w+3

Step-by-step explanation:

For [tex]8w+\frac{12}{4}[/tex], you can divide 12 by 4 which is three.

For [tex]\frac{8w+12}{4}[/tex], you have to divide each term. 8w is the same as 8·w. 8·w/4 is 2·w. 12/4 is 3.

The correct value of this simplified expression is 8w + 3

This question is related to algebraic expression and simplification.

- Algebraic expression is a mathematical sentence that involves letters accompanied by real numbers, where it can be a variable or unknown.

- Simplification of a number is just the division of the same divisor by the numerator and denominator.

Given the expression: 8w+12/4, the only term in this expression that can be simplified is the fraction. So let's divide these two numbers by the number 2:

8w + 12 / 4

8w + 12 ÷ 2 / 4 ÷ 2

8w + 6 /2

It is still possible to simplify this expression - dividing the numerator by the denominator, so:

8w + 6 /2

8w + 6 ÷ 2

8w + 3

Therefore, the correct answer of this expression will be 8w + 3

longest bridge in the world​

Answers

Answer:

the Danyang–Kunshan Grand Bridge

The world's longest bridge is the Danyang–Kunshan Grand Bridge in China, part of the Beijing-Shanghai High-Speed Railway, according to Encyclopaedia Britannica (opens in new tab). The bridge, which opened in June 2011, spans 102.4 miles (165 kilometers)

Answer:

Danyang–Kunshan Grand Bridge

Step-by-step explanation:

Due this is linear relationships and slope

Answers

Answer:

6x+4 C

Step-by-step explanation:

Because the y-axis is +4

The weights of bushels of corn produced by a large farm are approximately normally distributed with a mean of 89.46 pounds and a standard deviation of 2.31 pounds. A store is buys 5 bushels of corn from the farm. Assume the 5 bushels the store receives is a random sample of all bushels of corn the farm produces. What is the approximate probability that the 5 bushels will have a mean weight of more than 90 pounds

Answers

The approximate probability that the 5 bushels will have a mean weight of more than 90 pounds is 0.41

How to determine the probability?

The given parameters are:

Mean, μ = 89.46

Standard deviation, σ = 2.31

The z-score at x = 90 is calculated using

[tex]z = \frac{x - \mu}{\sigma}[/tex]

This gives

[tex]z = \frac{90 - 89.46}{2.31}\\[/tex]

Evaluate

z = 0.234

The probability is then calculated as:

P(x >90) = P(z > 0.234)

From z table of probabilities, we have:

P(x >90) = 0.41

Hence, the approximate probability that the 5 bushels will have a mean weight of more than 90 pounds is 0.41

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If the hypotenuse of the triangle below is 8√2, what is the leg?

Answers

Answer:

8

Step-by-step explanation:

The side lengths of this special right triangle is as follows:

The side length that sees angle measure 90 (hypotenuse) is represented with x[tex]\sqrt{2}[/tex]

and

the side length that sees angle measures 45 (the legs) is represented with x

hypotenuse is given as 8[tex]\sqrt{2}[/tex] so we can easily find the value of x and legs in this case

x = 8

Neglecting air​ resistance, the distance s(t) in feet traveled by a freely falling object is given by the function s(t) = 16t^2 where is time in seconds. The height of a certain tower is 878 feet. How long would it take an object to fall to the ground from the top of the​ building?

Answers

Answer:

7.4 seconds

Step-by-step explanation:

878 = 16 t^2    divide both sides of the equation by 16

54.875 = t^2    take positive sq rt

7.4 seconds

Which is the graph of y-3=-2/3(x+6)

Answers

Answer:

The first graph.

Tua wanted to teach his pet raven to count because they are very smart birds. He used various fruits and nuts to represent numbers. A peanut = 1 A grape = 2 peanuts 14 is represented by an acorn and 3 grapes. An acorn is worth half a plum. What is the value in fruits and nuts, of two plums and a peanut, divided by a grape and a peanut?

Answers

The value of two plums and a peanut, divided by a grape and a peanut is 11

How to solve the expression?

The given parameters are:

Peanut = 1Grape = 2 Acorn + 3 grapes = 14Acorn = 1/2 Plum

Substitute Grape = 2  in Acorn + 3 grapes = 14

Acorn + 3 *2  = 14

Acorn + 6  = 14

Subtract 6 from both sides

Acorn  = 8

Substitute Acorn  = 8 in Acorn = 1/2 Plum

8 = 1/2 Plum

Multiply both sides by 2

Plum = 16

So, we have:

Peanut = 1

Grape = 2

Acorn  = 8

Plum = 16

The value of two plums and a peanut, divided by a grape and a peanut is:

(2 plums + peanut)/(grape + peanut)

This gives

(2 * 16 + 1)/(2+ 1)

Evaluate

11

Hence, the value of two plums and a peanut, divided by a grape and a peanut is 11

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timothy's video game the levels starts with 30 aliens each worth five points Timothy already shot 6 of them how many more points can he get if he shoots the rest on this level?

Answers

Answer:

70 points

Step-by-step explanation:

HELP PLEASE, I'LL GIVE BRAINLIEST.


if x + yi = (1 + i)⁴ , then x + y = ......

a) 4
b) - 4
c) 2
d) - 2

an explanation for future reference would be greatly appreciated <333

Answers

x + yi = (1 + i)⁴

then -4 + 4 = x

Feeling anxious about another pandemic induced run-on toilet paper, Mrs. Phillips is making room in a closet for hording Angel Soft toilet paper. Using the Fermi process, she wants to estimate the number of rolls of toilet paper she can fit into a rectangular section of a closet with dimensions of length 36 inches, width 36 inches, height 108 inches.
One Angel Soft MEGA roll has a diameter 5 inches, height 3.75 inches.

About how many Angel Soft MEGA rolls can be fit into the closet space?
Show all math work needed to complete this problem.

Answers

For closet

It's a rectangle

L=36inB=36inH=108in

Volume

LBH36²(108)(36)³(3)139968in³

For rolls:-

Cylindrical body

radius=r=5/2=2.5inHeight=h=3.75in

Volume:-

πr²hπ(2.5)²(3.75)π(6.25)(3.75)73.6in³

Total rolls:-

Volume of closet /Volume of rolls139968/73.61901.71902 rolls

Answer:

1372

Step-by-step explanation:

Rectangular closet dimensions:

length = 36 inwidth = 36 inheight = 108 in

Modelling the roll of toilet paper as a cylinder with dimensions:

diameter = 5 inheight = 3.75 in

If we sit the rolls of toilet paper in the closet with their circular ends as their bases, then we can calculate the number of rolls that cover the base of the closet by dividing the length (and width) of the closet by the diameter of the toilet roll.

⇒ 36 in ÷ 5 in = 7.2 in

Therefore, we can fit 7 toilet rolls along the length and 7 toilet rolls along the width of the closet, meaning that we can fit 7 × 7 = 49 toilet rolls over the base of the closet.

Now calculate how many toilet rolls we can stack on top of each other.

To do this, divide the height of the closet by the height of the toilet roll:

⇒ 108 in ÷ 3.75 in = 28.8

Therefore, we can stack 28 layers of 49 toilet rolls in the closet.

So the total number of toilet rolls = 28 × 49 = 1372

There are other ways of stacking the toilet rolls in the closet (for example, turning them on their side), however, we cannot calculate the number of rolls the closet fits by simply dividing the volume of the closet space by the volume of a toilet roll, since the toilet rolls are cylinders and so there will always be some space between them.

Suppose a car rental firm wants to estimate the average number of kilometers traveled per day by each of its cars rented in a certain city. A random sample of 20 cars rented in that city reveals that the sample mean travel distance per day is 85.5 kilometers, with a population standard deviation of 19.3 kilometers. Compute a 99% confidence interval to estimate Q. (2 points) Interpret your answer. (1 point)​

Answers

Using the z-distribution, it is found that the 99% confidence interval to estimate Q is (74.4, 96.6). The interpretation is that we are 99% sure that the true mean for all cars rented in the city is between these two values.

What is a z-distribution confidence interval?

The confidence interval is:

[tex]\overline{x} \pm z\frac{\sigma}{\sqrt{n}}[/tex]

In which:

[tex]\overline{x}[/tex] is the sample mean.z is the critical value.n is the sample size.[tex]\sigma[/tex] is the standard deviation for the population.

In this problem, we have a 99% confidence level, hence[tex]\alpha = 0.99[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.99}{2} = 0.995[/tex], so the critical value is z = 2.575.

The other parameters of the interval are given as follows:

[tex]\overline{x} = 85.5, \sigma = 19.3, n = 20[/tex].

Hence the bounds of the interval are given as follows:

[tex]\overline{x} - z\frac{\sigma}{\sqrt{n}} = 85.5 - 2.575\frac{19.3}{\sqrt{20}} = 74.4[/tex]

[tex]\overline{x} + z\frac{\sigma}{\sqrt{n}} = 85.5 + 2.575\frac{19.3}{\sqrt{20}} = 96.6[/tex]

The interpretation is that we are 99% sure that the true mean for all cars rented in the city is between these two values.

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The box plots below represent the scores for games played by two high school basketball teams over the last 5 seasons.
Based on these plots, which statement regarding the means of the two data sets is is most likely true?

A The mean score per game is higher for South County High School because the distribution of South County High School's scores is not as skewed as the distribution of Central High School's scores.

B The mean score per game is about the same for both schools because their median scores are about the same.

C The mean score per game is higher for Central High School than for South County High School because the distribution of Central High School's scores is skewed right and contains large outliers.

D No conclusion can be drawn regarding the means because the box plots only show medians and quartiles.

Answers

The mean score per game is higher for Central High School than for South County High School because the distribution of Central High School's scores is skewed right and contains large outliers.

What is mean?

Mean is defined as the ratio of the sum of the number of the data sets to the total number of the data.

From the data given in the box plot, we can conclude that the mean score per game is higher for Central High School than for South County High School because the distribution of Central High School's scores is skewed right and contains large outliers.

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help me please!!! i cant do these

Answers

Answer:

sec(B)=b. ab/bc

sin(B)=c. ac/ab

csc(B)=f. ab/ac

cot(B)=a. bc/ac

tan(B)=e. ac/bc

cos(B)=d. bc/ab

Step-by-step explanation:

SOHCAHTOA

Sine=Opposite/Hypotenuse

Cosine=Adjacent/Hypotenuse

Tangent=Opposite/Adjacent

SHACHOCotAO

Secant=Hypotenuse/Adjacent

Cosecant=Hypotenuse/Opposite

Cotangent=Adjacent/Opposite

Evaluate the following expressions:
1. 5(a+2b)-3b

Answers

Answer:

=5a+7b

Step-by-step explanation:

Expand: 5(a + 2b): 5a + 10b
=5a+10b-3b
Add similar elements: 10b-3b=7b
=5a +7b

Answer:

[tex]\boxed{\sf{5a+7b}}[/tex]

Step-by-step explanation:

[tex]\boxed{\underline{\text{Distributive property}}}[/tex]

Given:

In this question, I'm asking about the distributive property.

Distributive property is each term within the parentheses can be multiplied by a factor outside the parentheses.

For any real numbers a, b, and c.

Note:

⇒ A(B+C)=AB+AC

⇒ A(B-C)=AB-AC

Solutions:

5(a+2b)-3b

Multiply by expand first.

[tex]\Longrightarrow: \sf{5(a+2b)}[/tex]

[tex]\Longrightarrow: \sf{5*a=5a}\\\\\Longrightarrow: \sf{5*2b=10b}[/tex]

Rewrite the equation problem down.

5a+10b-3b

Solve.

Subtract.

10b-3b=7b

[tex]\Longrightarrow: \boxed{\sf{5a+7b}}[/tex]

Therefore, the final answer is 5a+7b.

I hope this helps, let me know if you have any questions.

find the volume of the compound shape​

Answers

Given:Hemisphere Cylinder Volume of the hemisphere:

[tex]v = \frac{2}{3} \pi {r}^{3} [/tex]

[tex]v = \frac{2}{3} \times \pi \times {1.5}^{3} [/tex]

[tex]v = 7.07 \: {cm}^{3} [/tex]

Volume of the cylinder:

[tex]v = \pi {r}^{2} h[/tex]

[tex]v = \pi \times {1.5}^{2} \times 4[/tex]

[tex]v = 28.27 \: {cm}^{3} [/tex]

Total volume:

[tex]v = 7.07 + 28.27[/tex]

[tex]v = 35.34 \: {cm}^{3} [/tex]

Hence, the volume of the given compound shape is 35.34 cubic centimeters.

v of hemisphere:

2/3 pi r^3

v of cylinder:

pi r^2 h

total:

add both the value

apply the formula and try

SOMEONE PLEASE HELP ME

Answers

Answer:

A= 77/2 or 38.5 cm^2 and p= 29.5 cm

Step-by-step explanation: Remember the formula for area and perimeter for a triangle A=1/2bh and P= a+b+c. So the equations would look like A=1/2 x 11 x 7 and P= 11 + 11 + 7.5 and that'll result in A= 77/2 or 38.5 cm^2 and p=29.5 cm.

A building that is used for storage has the dimensions shown. What is the volume of the building?

Answers

The total volume of this building based on the volume of its two sections is 3808 cubic feet.

How to calculate the volume of the building?

In this case, it is necessary to calculate the volume of the base that has a rectangular prism shape and the volume of the top part that has a right triangular prism shape.

What is the volume of the base?length x widht x height28 x 8 x 14 = 3136 cubic feet

What is the volume of the top part?0.5 x base x height x length0.5 x 14 x 8 x 12 = 672 cubic feet

What is the total volume?3136 +  672 = 3808 cubic feet

Note: This question is incomplete because the image is missing; here is the missing section.

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Grace is an hourly employee

Answers

Answer:

full question Grace is an hourly employee, and the line that models her total pay in dollars

as it relates to the number of hours she has worked has a slope of 45 and a y

intercept of 35. Which statement is true?

A. Grace's wage is $35 an hour, and it appears that she received a

signing bonus of $45.

B. Grace's wage is $35 an hour, but it appears that she received no

signing bonus.

C. Grace's wage is $45 an hour, and it appears that she received a

signing bonus of $35.

D. Grace's wage is $45 an hour, but it appears that she received no

signing bonus.

Step-by-step explanation:

if x is the amount of hours worked, 45 is the slope and the y intercept is 35.

A linear equation has the form of y = ax + b, where a is the slope and b is the y-intercept, then the equation that we have is:

y = 45*x + 35

this means that she wins $45 per hour, and has a plane amount of $35, indiferent of the amount of hours worked.

Then the correct answer is

C) Grace's wage is $45 an hour, and it appears that she received a  signing bonus of $35.

Answer:

wow........mmm.................

Please help me. 15 points

Answers

Answer:

360 feet

ft = 120 • 3 = 360 feet

Answer:

Your choice of 360 is correct.

Step-by-step explanation:

3 feet = 1 yard

120 times 3 =

360

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If 2 newspapers cost $3.00,
how much does one
newspaper cost?

Answers

Answer:

$1.50

Step-by-step explanation:

you only need to do $3.00/2 = $1.50

Answer:

$1.50

Step-by-step explanation:

3 divided by 2 = 1.5

Which number is greatest?


CLEAR SUBMIT

290,095


209,509


290,905


209,950

Answers

290,905 is the greatest the third option

Answer:

290,905

Because the ten-thousands place is greatest, and the hundreds place is greater than option A, we can determine that option C is correct.

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