Lana does yard work. The information below shows the approximate time for each job:
Mow small lawn - 1/2hr
Mow large lawn - 3/4hr
Tidy yard - 1 1/2hr
Plant annuals - 2 1/2hrs
For one Saturday, Lana needs to mow 3 small lawns, mow 1 large lawn, tidy 2 yards, and plant annuals once. She needs travel time between jobs, and a break for lunch. Do you think she will be able to complete all of the jobs in one day? Justify your answer.

Answers

Answer 1

Answer:

No, not enough time

Step-by-step explanation:

Time to complete each of jobs

1/2 * 3 = 1 1/2 hrs3/4 * 1 = 3/4 hr1 1/2 * 2 = 3 hrs2 1/2 * 1 = 2 1/2 hrs

Total time at job

1 1/2 + 3/4 + 3 + 2 1/2 = 7 3/4 hrs

If the work day lasts for 8 hours, then Lana has only 1/4 hr to travel between jobs and a lunch break.  

This time is not sufficient so she can't complete all the jobs.

Answer 2

Answer:

No (see explanation below)

Step-by-step explanation:

Approximate times to carry out each job:

Mow small lawn = 1/2 hrMow large lawn = 3/4 hrTidy yard = 1 1/2 hrPlant annuals = 2 1/2 hrs

For one Saturday, Lana needs to:

mow 3 small lawnsmow 1 large lawntidy 2 yardsplant annuals once

Therefore, the total time for the jobs is:

[tex]\begin{aligned}\sf Total\:time & = \sf 3\:small\:lawns+1\:large\:lawn+2\:tidy\:yards+1\:plant\:annuals\\\\& = \sf 3 \cdot \dfrac{1}{2}+\dfrac{3}{4}+2 \cdot 1 \frac{1}{2}+2\frac{1}{2}\\\\& = \sf 1 \frac{1}{2}+\dfrac{3}{4}+3+2\frac{1}{2}\\\\& =\sf 7 \frac{3}{4}\: hours\end{aligned}[/tex]

The likelihood of Lana being able to complete all the jobs in one day is dependent on how far she needs to travel between jobs and how long she wishes to break for lunch.  A typical working day is around 8 hours. Therefore, unless Lana wishes to work for a longer day, it is unlikely she will be able to complete all of the jobs in one day as there is only 15 minutes available for traveling and lunch, which is likely not enough.


Related Questions

Place each function below in the appropriate cell to show the transformation from

Answers

Answer:

See below ↓↓↓↓

Step-by-step explanation:

Top left box

f(x) = 2x² + 4

g(x) = 2f(x) - 3

g(x) = 2(2x² + 4) - 3g(x) = 4x² + 8 - 3g(x) = 4x² + 5

Top right box

f(x) = 2x² + 4

g(x) = 2f(x) + 3

g(x) = 2(2x² + 4) + 3g(x) = 4x² + 8 + 3g(x) = 4x² + 11

Bottom left box

f(x) = 2x² - 4

g(x) = 2f(x) - 3

g(x) = 2(2x² - 4) - 3g(x) = 4x² - 8 - 3g(x) = 4x² - 11

Bottom right box

f(x) = 2x² - 4

g(x) = 2f(x) +3

g(x) = 2(2x² - 4) + 3g(x) = 4x² - 8 + 3g(x) = 4x² - 5

What were the overall returns during the bull market from 1970 to 1973?

Answers

The Answer: Gain — Previous bull markets gained between 74% (1970–1973) and 582% (1987–2000), with an average gain of 185% and a median gain of 132%.

Hope this was helpful to you

Fernando compró un videojuego y sabe que el valor depreciado de este es de $600 luego de 12

meses de su compra y de $480 al término de 18 meses. Si el valor del sistema varía linealmente

con el tiempo, determina:

a) La ecuación que expresa la relación del valor del videojuego con su tiempo de uso.

b) El valor del videojuego cuando era nuevo.

ayudenme profavor

Answers

Usando una ecuación lineal, se encuentra que:

a) La ecuación es y = -20x + 840.

b) El valor del videojuego cuando era nuevo era de $840.

¿Qué es una función lineal?

Una función lineal es modelada por:

y = mx + b

En el cual:

m es la pendiente, que es la tasa de cambio, es decir, cuánto cambia y cuando x cambia en 1.b es la intersección con y, que es el valor de y cuando x = 0, y también se puede interpretar como el valor inicial de la función.

En este problema, el valor depreció $120 en 6 meses, por lo tanto la pendiente es dada por:

m = -120/6 = -20.

O sea:

y = -20x + b

Al longo de 12 meses, el valor deprecio 12 x 20 = $240. Por lo tanto, el valor inicial es dado por:

b = 600 + 240 = $840.

Y la ecuación es dada por:

y = -20x + 840.

Puede-se aprender más a cerca de ecuaciónes lineales en https://brainly.com/question/24766917

The average daily rainfall in Seattle for the
month of June has a mean absolute deviation
of 1.3 inches. What conclusion can you make
about the average daily rainfall in Seattle for
the month of June?

Answers

The conclusion regarding the MAD is that the average of the absolute values of the daily difference between the actual and expected rainfall is of 1.3 inches.

What is the mean absolute deviation(MAD) of a data-set?The mean of a data-set is given by the sum of all observations divided by the number of observations.The mean absolute deviation(MAD) of a data-set is the sum of the absolute value of the difference between each observation and the mean, divided by the number of observations.The mean absolute deviation represents the average by which the values differ from the mean.

Hence, the mean absolute deviation of 1.3 inches means that the average of the absolute values of the daily difference between the actual rainfall and the expected rainfall is of 1.3 inches.

More can be learned about the mean absolute deviation at https://brainly.com/question/3250070

Noah and his sister are making gift bags for a birthday party. Noah puts 3 pencil erasers in each bag. His sister puts x stickers in each bag. After filling 4 bags, they have used a total of 44 items.:Draw a diagram for the story and find the unknown amount.

Answers

Answer:

x=8

Step-by-step explanation:

Answer:

44 items in 4 bags means there are 11 items in each bag (44/4).

each bag has 3 erasers + x stickers. So, 3 + x = 11

subtract three from each side of the equation to isolate the variable (x):

3+x-3=11-3

x=8

Are my wrists skinny? Please answer and I will mark as brainliest answer.

Answers

Answer:

yes! they're pretty skinny

Step-by-step explanation:

     

yea but that’s not a bad thing lol

Which to integers is Sqrt 58
between?
A. 7 and 8
B. -8 and -7
C.-6 and -5
D. 5 and 6

Answers

Answer:

Option A

Solution:First, let's find the square root of 58.The square root of 58 is equivalent to:√58≈7,62 (approximately equal to)Now, which two integers is 7.62 between?Is it between 7 and 8? Yes.Is it between -8 and -7? No. 7.62 is positive.Is it between -6 and -5? No.Is it between 5 and 6? No.Therefore, √58 is between 7 and 8.

Hope it helps.

Do comment if you have any query.

Which of the following measurements results in the largest circle?
A.
radius = 8 in.
B.
diameter = 8 in.
C.
area = 30 sq. in.
D.
circumference = 30 in.

Answers

Answer:

A

Step-by-step explanation:

A) r = 8

B) r = 4

C) r = [tex]\sqrt{\frac{30}{\pi } }[/tex] ~ 3.09

D) r = [tex]\frac{30}{2\pi} = \frac{15}{\pi } ~ 4.77[/tex]

Circle A has the largest radius, and thus is the largest circle

which expression is equivalent to 60-3y-9

Answers

Answer:

Step-by-step explanation:

60 - 3y - 9

= 60 - 9 - 3y

= 51 - 3y.

In a spot check of cartons of eggs, Matilda found that 6 out of 200 eggs were cracked.

If the store has 3,000 eggs for sale, how many can expect to be cracked?

Answers

3000/200=15
15 groups x 6 eggs per group = 90

Height of 10th grade boys is normally distributed with a mean of 63. 5 in, and a standard deviation

of 2. 9 in.

The area greater than the z-score is the probability that a randomly selected 14-year old boy

exceeds 70 in.

What is the probability that a randomly selected 10th grade boy exceeds 70 in. ?

Use your standard normal table.

Answers

Using the normal distribution, it is found that there is a 0.0125 = 1.25% probability that a randomly selected 10th grade boy exceeds 70 in.

Normal Probability Distribution

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

In this problem, the mean and the standard deviation are, respectively, given by [tex]\mu = 63.5, \sigma = 2.9[/tex].

The probability that a randomly selected 10th grade boy exceeds 70 in is one subtracted by the p-value of Z when X = 70, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{70 - 63.5}{2.9}[/tex]

Z = 2.24

Z = 2.24 has a p-value of 0.9875.

1 - 0.9875 = 0.0125.

0.0125 = 1.25% probability that a randomly selected 10th grade boy exceeds 70 in.

More can be learned about the normal distribution at https://brainly.com/question/24663213

#SPJ1

What is the value of "X"?

Answers

Answer:

6

Step-by-step explanation:

All triangles equal 180 degrees to this is what I did:

8x + 2 + 70 + 60 = 180

8x + 2 + 130 = 180

8x + 132 = 180

subtract 132 from each side

8x = 48

now divide each side by 8 to isolate the x

x = 6.

Can someone help me please

Answers

Answer:

Option A

Step-by-step explanation:

To simplify this fraction:

We subtract the powers:

[tex]\frac{6^{3} }{6^{6} } = 6^{3-6}[/tex]

[tex]6^{-3}[/tex] = [tex]\frac{1}{6^{3} }[/tex] = 1/216

These answers I wrote in the last line are options B,C and D.

Therefore Option A is not equivalent.

The answer is A, hope this helps!!


Charlotte wants to use a sheet of fiberboard 34 inches long to create a skateboard
ramp with a 20° angle of elevation from the ground. How high will the ramp rise
from the ground at its highest end? Round your answer to the nearest tenth of an
inch if necessary.

Answers

Using the slope concept, it is found that the rarmp will rise 12.4 inches at it's highest end.

What is a slope?

The slope is given by the vertical change divided by the horizontal change, and it's also the tangent of the angle of depression.

In this problem, the horizontal change is of 34 inches with an angle of 20º, hence:

[tex]\tan{20^\circ} = \frac{h}{34}[/tex]

h = 34 x tan(20º)

h = 12.4.

The rarmp will rise 12.4 inches at it's highest end.

More can be learned about the slope concept at https://brainly.com/question/18090623

Answer:I just got it wrong the answer is 11.6

Step-by-step explanation:

Which statements about the behavior of f(x) = x2 + 4x − 3 are true? Select all that apply.
A. f has an axis of symmetry at x = –2.
B. The range of f is the set of all real numbers.
C. The maximum value of f is –7 when x = –2.
D. As x approaches infinity, f(x) approaches infinity.
E. As x approaches negative infinity, f(x) approaches negative infinity.

Answers

Answer:

A, D

Step-by-step explanation:

Given function:  [tex]f(x)=x^2+4x-3[/tex]

Axis of symmetry

[tex]\textsf{Axis of Symmetry formula : }x=-\dfrac{b}{2a}[/tex]

for a quadratic equation in standard form [tex]y=ax^2+bx+c[/tex]

[tex]\implies \textsf{Axis of symmetry}: x=-\dfrac{4}{2}=-2[/tex]

Maximum/Minimum point (vertex)

The max/min point is the turning point of the parabola.

The x-value of the turning point is the axis of symmetry.

[tex]\implies \textsf{Turning point}:f(-2)=(-2)^2+4(-2)-3=-7[/tex]

Turning point (vertex) = (-2, -7)

As the leading coefficient is positive, the parabola opens upwards.  Therefore, the turning point  (-2, -7) will be a minimum.

Domain & Range

Domain: input values → All real numbers

Range: output values → [tex]x\geq -7[/tex]  [as (-2, -7) is the minimum point]

End behavior

As the leading degree is positive and the leading coefficient is positive:

[tex]f(x) \rightarrow + \infty, \textsf{ as } x \rightarrow - \infty[/tex]

[tex]f(x) \rightarrow + \infty, \textsf{ as } x \rightarrow + \infty[/tex]

Diego works at a carwash and makes $11 per hour. If he works 9 hours of overtime in a week, how much overtime would he earn? Consider that overtime is paid at time-and-a-half of his regular rate. 158.40 130.00 150.40 148.50​

Answers

Answer: Total Hours

Regular Rate = $11.25 / hour

Overtime Rate = $16.88 / hour

Double Time Rate = $22.50 / hour

Step-by-step explanation:

What is the probability of someone
randomly reaching into a bag of 8 red table
tennis balls and 4 blue table tennis balls and
pulling out a blue table tennis ball?

Answers

The probability of pulling out a blue ball is 1/3

What is probability?

This is a likelihood or chance that an event will occur. Mathematically:

Probability = Expected/Total outcome

If someone randomly reaching into a bag of 8 red table tennis balls and 4 blue table tennis balls, the total outcome is:

Total outcome = 8 + 4 = 12 balls

If a blue ball is pulled out then the probability of pulling it out is:

Pr(blue ball) = 4/12 = 1/3

Hence the probability of pulling out a blue ball is 1/3

Learn more on probability here: https://brainly.com/question/24756209

Estimate the solution to the system of equations.
You can use the interactive graph below to find the solution
y =4x-2
y=x+3

Answers

Answer:

[tex]\left(\dfrac53,\dfrac{14}{3}\right)[/tex]

Step-by-step explanation:

Equation 1:  y = 4x - 2

Equation 2:  y = x + 3

Subtract Equation 2 from Equation 1 and solve for x:

⇒ 0 = 3x -5

⇒ 3x = 5

⇒ x = 5/3

Substitute found value of x into one of the equations and solve for y:

⇒ y = 5/3 + 3

⇒ y = 14/3

Therefore, the solution of the system of equations is:

[tex]\left(\dfrac53,\dfrac{14}{3}\right)[/tex]

Suppose this two-dimensional figure is rotated 360 degrees using the vertical axis
shown. Each small square on the grid represents 1 square inch. What is the volume of
the three-dimensional figure? (2pts)
A. 41.89 in
B. 33.51 in
C. 62.83 in 3
D. 37.70 in3

Answers

The volume of the three-dimensional figure formed if the  two-dimensional figure is rotated 360 degrees is 37.70 in³

What is volume?

Volume is the amount of space occupied by a three dimensional shape or object.

The volume of the three dimensional shape is:

Volume = volume of cylinder + volume of cone =  (π(2²) * 2) + [(1/3) * π * (2²) * 3] = 37.70 in³

The volume of the three-dimensional figure formed if the  two-dimensional figure is rotated 360 degrees is 37.70 in³

Find out more on volume at: https://brainly.com/question/12410983

Find the volume of a right circular cone that has a height of 3.5 ft and a base
with a diameter of 11.9 ft.

Answers

Step-by-step explanation:

the volume of a cone is

base area × height / 3

and the case area is a circle, so we get

pi×r²×h/3

with e being the radius (half of the diameter), and h being the height.

therefore

pi×(11.9/2)²×3.5/3 = pi×(5.95)²×3.5/3 = 41.30291667... ft³

PLASE HELP ASAP, brainly >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>


Use the system of equations to answer the following question:

2x - 5y = -6

2x - 7y = -14

Which ordered pair is the solution to the system?

Answers

I Hope That I Am Not To Late, But The Answer Is D (7,4) <3

Explanation

2 x 7 = 14

5 x 4 = 20

14-20= -6

>>>

2 x 7= 14

7 x 4 = 28

14-28= -14

X= 7 & Y=4

Once again sorry if i am late, if others come I hope this helps UwU

Help!!!

Find the sum of the mean, median, and mode for this data 86,72,16,42,16,55,16,12,91,55

Answers

Answer:

mean=86+72+16+42+16+55+16+12+91+55/2

mean=230.5

mode=16-unimodal

median the middle value but in the first arrange in ascending order.

12,16,42,55,72,86 and 91

median=55

hope it helps!

2.) Mila completed a half marathon race over the weekend. The full race was
13.1 miles and she jogged the first 4/5 of the race, then walked the remaining
distance.
How many miles did she jog?

Answers

Answer:

10.48 miles.

Step-by-step explanation:

That is 4/5 * 13.1

= 10.48 miles.

help , i need to finish this today :)

Use the equation of the curve of best fit to predict what the daily rental price for a two-bedroom condo will be in June and in January.


Type the correct answer in each box.


The daily rental price will be $ _____in June and $ _____ in January.

Answers

Hii!

let me answer this for you before i head out!

So, how many days are in 1 week? 7.

To rent daily, we need to find out the price for 1 single month.

1 month is $154

7 times what is 154?

7x22 is 154

Therefore, to rent a room everyday, it would cost 22$ for the first month.

437 divided by 2 is 218

218 divided by 7 is 31

Hope it helps

Sorry if its wrong!

Select Statistical or Not Statistical to classify each question.

1. How many feet are in 4 yards?
2. How many siblings do you have?
3. How many weeks are in a year?

Answers

Answer:

1. Not statistical

2. Statistical

3. Not statistical

Answer:

lol cant belive he could lie like that- anyways here is half the test since you can only post 5 pictures

Step-by-step explanation:

I need HELPPPPplsssssssssss

Answers

Answer:

I have attached a picture of the completed graph.

The equation is k = r + 7

Kyle will be 59 when Ryan is 52.

Explanation:

Kyle's age is always seven years higher than Ryan's age.

Therefore, k (Kyle's age) = r (Ryan's age) + 7 (Number of years different)

Soo Kayla will be 59 when Ryan is 52

Find a 99% confidence interval for each of the following. Round to the nearest tenth if necessary. 1. x = 75, s = 10, and n =64 2. x = 56,5 = 2, and n= 50. 3. X = 40, s = 3, and n = 36​

Answers

The 99% confidence interval will be (71.76, 78.23), (55.27, 56.73), and (38.71, 41.29).

How to calculate the confidence interval?

The test statistic for 99% confidence interval is 2.58. Therefore, the 99% confidence interval when x = 75, s = 10, and n =64 will be:

= [75 - (10 × 2.58)/✓64, 75 + (10 × 2.58)/✓64,]

= 71.76, 78.23

The 99% confidence interval when x = 56,5 = 2, and n= 50 will be:

= [56 - (2 × 2.58/✓50), 56 + (2 × 2.58/✓50)]

= 55.27, 56.73

The 99% confidence interval when x = 40, s = 3, and n = 36 will be:

= [40 - (3 × 2.58)/✓36, 40 + (3 × 2.58)/✓36]

= 38.71, 41.29

Learn more about confidence interval on:

https://brainly.com/question/15712887

please help me....asap

Answers

Answer:

a.

Step-by-step explanation:

the study is on teens, and its impossible to survey every teen since they didnt specify how many teens there were. so the answer is a, survey 100 teens.

There is a bag filled with 4 blue and 5 red marbles.
A marble is taken at random from the bag, the colour is noted and then it is replaced.
Another marble is taken at random.
What is the probability of getting 2 blues?

Answers

Answer:

16/81

Step-by-step explanation:

Given

In the bag, there are : 4 blue and 5 red marbles

Probability of blue (1st time)

P(1) = Total blue / Total marblesP(1) = 4 / (4 + 5)P(1) = 4/9

Probability of blue (2nd time)

P(2) = Total blue / Total MarblesIt states it is replaced hence it is of the same constitution as the beginningP(2) = 4/9

Probability of blue (both times)

P = P(1) x P(2)P = 4/9 x 4/9P = 16/81

helpp!! Please I appreciate it ​

Answers

Answer:

x < -10

Step-by-step explanation:

Solve the inequality.

-2x + 4 > 24     Subtract 4 from both sides

-2x > 20           Divide both sides by -2

x < -10              We must flip the inequality sign because we divided by a negative number in the last step.

When you graph, draw a number line. Then, draw a circle on top of -10. Since x is less than -10, the arrow goes to the left of -10. Additionally, the circle on top of -10 will be an open circle because the inequality sign is a less than, not a less than or equal to.

I hope this helps and please mark me as brainliest!

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