The Harris family and the Baker family each used their sprinklers last summer. The water output rate for the Harris family's sprinkler was 20L per hour. the water output rate for the Baker family's sprinkler was 35L per hour. The families used their sprinklers for a combined total of 75 hours, resulting in a total water output of 2025L. How long was each sprinkler used?

Answers

Answer 1

Answer:40 hr and  35 hr

Step-by-step explanation:

Given

Harris family sprinkler output rate is [tex]20\ L/\text{per hour}[/tex]

and Baker family sprinkler output rate is [tex]35\ L/\text{per hour}[/tex]

Total output of two is [tex]2025\ L[/tex]

Suppose Harris family sprinkler used for [tex]t_1[/tex] time and Baker family for [tex]t_2 [/tex]time then

[tex]20\times t_1+35\times t_2=2025\quad \ldots(i)[/tex]

and [tex]t_1+t_2=75[/tex]

[tex]t_1=75-t_2[/tex]

Substitute the value in [tex](i)[/tex]

[tex]\Rightarrow 20\times (75-t_2)+35t_2=2025[/tex]

[tex]\Rightarrow 1500-20t_2+35t_2=2025[/tex]

[tex]\Rightarrow 15t_2=525[/tex]

[tex]\Rightarrow t_2=\frac{525}{15}[/tex]

[tex]\Rightarrow t_2=35\ hr[/tex]

[tex]\therefore \ t_1=75-35=40\ hr[/tex]

Therefore Harris family use [tex]40\ hr[/tex] of sprinkler and Baker family use [tex]35\ hr[/tex] of sprinkler


Related Questions


[tex] \sqrt{4 - {x}^{2}dx } [/tex]

Answers

Answer:

do you know what x or dx =

Step-by-step explanation:

how many feet of outdoor carpet is needed for a hole measuring 6ft,2ft,5ft,2ft,3ft,3ft,and 12ft?

Answers

the answer to this question is not 17

"Her eyes shone as bright as the sun" is an example of
Is it a simile of idiom

Answers

Answer:

Similie

Step-by-step explanation:

A similie is a comparison using like or as

An idiom however is a group of words established by usage as having a meaning not deducible from those of the individual words

reading this statement, its saying "Her eyes shone as bright as the sun"

the caparison is between her eyes and the bright sun

therefore making this a similie

Hope this helps

stay safe:))))

brainliest is appreciated :))

Based on the information given, the expression is a simile.

A simile simply means a figure of speech that is used in comparing something with another thing.

In this case, "Her eyes shone as bright as the sun" is an example of a simile. The eyes were compared to the sun.

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The double number line shows that a water park allows 18 people to go down a giant water slide in three minutes. Select the double number line that correctly label the number of people that can go down the slide in one, two, and four minutes.

Answers

Answer: B

Step-by-step explanation:

Final answer:

Firstly, we identify the number of people that can use the slide per minute, which is 6. Using this, we find that for 1 minute it's 6 people, for 2 minutes it's 12 people and for 4 minutes it's 24 people.

Explanation:

The question provides us that 18 people can go down the water slide in 3 minutes. This suggests that every minute, 18 ÷ 3 = 6 people can go down the slide. So, for the double number line, we would show:

1 minute: 6 people 2 minutes: 6 x 2 = 12 people 4 minutes: 6 x 4 = 24 people

This 'per minute' basis helps in understanding and calculating the number of people going down the slide at different time intervals.

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what is the sum of 5/13 + 10/13

Answers

The sum of this is 15/13

Answer:15/13

Step-by-step explanation:

Rewrite the function by completing the square f(x)=x^2+2x+26

Answers

[tex] {x}^{2} + 2x + 26 = ( {x}^{2} + 2x + 26- 25) + 25 = \\ = (x + 1) ^{2} + 25[/tex]

The function f(x) = x² + 2x = 26 can be written as f(x) = (x + 1)² = 27.

What is a quadratic equaton?

A quadratic equation is an algebraic expression in the form of variables and constants.

A quadratic equation has two roots as it's degree is two.

Given, f(x) = x² + 2x = 26.

f(x) = (x)² + 2(x)(1) + 1² = 26 + 1.

f(x) = (x + 1)² = 27.

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Dan had 175 dollars to spend on 6 books. After
buying them he had 13 dollars. How much did each book cost ?

Answers

Answer:

27 dollars

Step-by-step explanation:

On one side he had 175

One the other side he has 6 books and 13 dollars

175 = 6b+13

Subtract 13 from each side

175 -13 = 6b+13-13

162 = 6b

Divide each side by 6

162/6 = 6b/6

27 = b

Each book is 27 dollars

X^2-4/x-8 help please

Answers

Answer:

  -3

Step-by-step explanation:

Put 4 where x is, and do the arithmetic.

  (4^2 -4)/(4 -8) = (16 -4)/(-4) = 12/-4 = -3

The value of the expression is -3 for x=4.

Which of the following is not a way to determine if a relation is a function

Answers

To know that a relation is a function is it the graph gets approved by the “vertical line text”. If the imaginary vertical lines you draw onto the graph only touch one part of the line, then it is a function. If they touch two or more parts of the line, then the relation isn’t a function.

(Since I cant see the following I’ll also give another tip) If the ordered pairs are given, then if a number in the x points is repeated, then it is not a function. But if I’m y is repeated, it doesn’t matter, it’s still a function. The only thing you need to focus on is on the x list, if one number is repeated then it is not a function.

For a Christmas and New Year's week, the National Safety Council estimated that 500 people would be killed and 25,000 injured on the nation's roads. The NSC claimed that 50% of the accidents would be caused by drunk driving. A sample of 120 accidents showed that 67 were caused by drunk driving. Use these data to test the NSC's claim with LaTeX: \alphaα=0.05. What is the value of the test statistic used for this?

Answers

Answer:

We conclude that 50% of the accidents would be caused by drunk driving.

Step-by-step explanation:

We are given that the NSC claimed that 50% of the accidents would be caused by drunk driving.

A sample of 120 accidents showed that 67 were caused by drunk driving.

Let p = percentage of the accidents caused by drunk driving.

So, Null Hypothesis, [tex]H_0[/tex] : p = 50%      {means that 50% of the accidents would be caused by drunk driving}

Alternate Hypothesis, [tex]H_A[/tex] : p [tex]\neq[/tex] 50%      {means that % of the accidents that would be caused by drunk driving is different from 50%}

The test statistics that would be used here One-sample z proportion statistics;

                    T.S. =  [tex]\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex]  ~ N(0,1)

where, [tex]\hat p[/tex] = sample proportion of accidents caused by drunk driving = [tex]\frac{67}{120}[/tex] = 0.56

           n = sample of accidents = 120

So, test statistics  =  [tex]\frac{0.56-0.50}{\sqrt{\frac{0.56(1-0.56)}{120} } }[/tex]  

                              =  1.324

The value of z test statistics is 1.324.

Now, at 0.05 significance level the z table gives critical values of -1.96 and 1.96 for two-tailed test. Since our test statistics lies within the range of critical values of z, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which we fail to our null hypothesis.

Therefore, we conclude that 50% of the accidents would be caused by drunk driving.

At a local community college, 62% of all freshmen take both Statistics and English. What percent of freshmen taking Statistics are taking English if 76% of freshmen are taking Statistics?
(1) 18% (3) 82%
(2) 62% (4) 94%

Answers

Answer:

(3) 82%

Step-by-step explanation:

.62/.76=.8157894737 which when rounded is 82%.

If 76 percent of freshmen take Statistics, the percentage of freshmen who take English is 82 percent. Option B is correct.

What is the percentage?

The quantity of anything is stated as though it were a fraction of a hundred. A fraction of 100 can be used to express the ratio.

The percent of freshmen taking Statistics are taking English if 76% of freshmen are taking Statistics is found as;

The percent of freshmen taking Statistics are taking English if 76% of freshmen are taking Statistics is found as;

[tex]\rm \% S=\frac{.62}{.76} \times 100 \\\\ \% S=82\%[/tex][tex]% STATICS = \frac{.62}{.76} \times 100 \\\\ % STATICS = 81.5 \%[/tex]

Sixty-two percent of all freshmen at a nearby community college take both Statistics and English. If 76 percent of freshmen take Statistics,

Hence, the percentage of freshmen who take English is 82 percent.

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Jamie’s car is 9 yards long. Joey’s car is 27 feet long. When you line them up one in front of the other, how long are they together? (Answer in yards)

Answers

Answer:

First, our answer is 18 yards long.

Step-by-step explanation:

It is 18 yards long because first, we have 9, the length of Jamie's car.  Joey's car length is 27 feet. Then, since 1 foot converted is 0.333333...., it is very hard to convert so i turn it in to 9 foot converted into 3 yards. Then, both sides multiply by 3 so 27 foot equals to 9 yards. 9 yards+9 yards equals 18 yards.

Hope it helps Hailey!

Pls mark it brainliest.

Thx!

Enter 8/10 as hundredths.

Answers

Answer:

0.8 or .8

Step-by-step explanation:

multiply the top and bottom by 10

so 8/10=80/100

to get the decimal form, just divide 8 by 10 and it should give you 0.8

What is the value of tan157.5°

Answers

Precalc/Trig is easy. SO please mark me as BRAINLIEST

This is how you can find the value of that. Using this formula, you can find the value of it.

2.The mean area of several thousand apartments in a new development is advertised to be 1,100 square feet. A consumer advocate has received numerous complaints that the apartments are smaller than advertised. A state building inspector is sent out to measure a sample of apartments. State the null and the alternative hypothesis to test this claim.

Answers

Answer:

Null Hypothesis, [tex]H_0[/tex] : [tex]\mu[/tex] = 1,100 square feet

Alternate Hypothesis, [tex]H_A[/tex] : [tex]\mu[/tex] < 1,100 square feet

Step-by-step explanation:

We are given that the mean area of several thousand apartments in a new development is advertised to be 1,100 square feet.

A consumer advocate has received numerous complaints that the apartments are smaller than advertised.

Let [tex]\mu[/tex] = mean area of several apartments.

So, Null Hypothesis, [tex]H_0[/tex] : [tex]\mu[/tex] = 1,100 square feet

Alternate Hypothesis, [tex]H_A[/tex] : [tex]\mu[/tex] < 1,100 square feet

Here, null hypothesis states that the mean area of apartments are same as advertised.

On the other hand, alternate hypothesis states that the mean area of apartments are smaller than advertised.

So, this would be the appropriate null and the alternative hypothesis to test this claim.

There are 264 students going on a field trip to the city. If the school is only taking 8 buses, what is the total number of students that will be on each bus?
272
256
33
34

Answers

Answer:

Step-by-step explanation:

Answer:

272

Step-by-step explanation:

A set simbols that expresses a mathematical rule is called a?

Answers

revenge! hope that helps! thank you for my points back!

The superintendent of a large school district, having once had a course in probability and statistics, believes that the number of teachers absent on any given day has a Poisson distribution with parameter µ.
Use the accompanying data on absences for 50 days to obtain a 95% large sample CI for µ.
Absences: 0 1 2 3 4 5 6 7 8 9 10
Frequency: 2 3 8 11 8 7 6 2 1 1 1
[Hint: The mean and variance of a Poisson variable both equal m, so
Z = (X - µ)/√(µ/n),
has approximately a standard normal distribution. Now proceed as in the derivation of the interval for p by making a probability statement (with probability 1- a) and solving the resulting inequalities for µ.

Answers

Final answer:

You first calculate the sample mean, or μ_bar, of the data. Given it's a Poisson distribution, the mean is equal to the variance, giving your standard deviation. Finally, for a 95% CI, you apply the Z score to the formula μ_bar ± Z*(sqrt(μ_bar/n)) to obtain your confidence interval.

Explanation:

The subject is related to Poisson distribution and the calculation of a confidence interval (CI) for the population mean (µ).

Firstly, we calculate the sample mean that is the total number of instances divided by the number of days:

(0*2 + 1*3 + 2*8 + 3*11 + 4*8 + 5*7 + 6*6 + 7*2 + 8*1 + 9*1 + 10*1)/50

This gives us the sample mean, µ_bar.

Given the data follows a Poisson distribution, the mean and the variance are equal (µ = variance). For a Poisson distribution, the variance is equal to µ divided by n, hence we get the standard deviation as sqrt(µ/n).

For a 95% CI, Z = 1.96 (from the standard normal table). Our CI will therefore be µ_bar ± Z*(sqrt(µ_bar/n)).

Since n is large, the distribution can be assumed to be approximately normal and the CI can be treated as reliable.

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To calculate a 95% confidence interval for a Poisson distributed data set, first calculate the sample mean. Consider the variance of Poisson equals to its mean, the standard error would be square-root of (mean divided by sample size). Using z-score of ±1.96 for 95% confidence level, solve for mean in both inequalities will give the interval.

The question pertains to deriving a 95% confidence interval for the mean (µ) of a Poisson distributed data set. In this case, the data set provided represents the number of teacher absences in a school district over 50 days.

Firstly, you will need to calculate the sample mean by multiplying each absence by its frequency, sum those up, then divide the sum by the total number of observations. This serves as an estimator for the Poisson mean µ.

Considering that the variance of a Poisson variable equals to its mean µ. The standard error would then be √(µ/n), where n is the number of observations. For a 95% interval, Z should be approximately ±1.96.

The confidence interval can be calculated using the standard formula for a large sample size:

Z = ±1.96 = (X - µ)/√(µ/n)

Solving for µ in both inequalities will give you the confidence interval.

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Determine the intercepts of the line. y = − 7 x + 3 y=−7x+3

Answers

Answer:

x intercept (3/7, 0) or (0.429, 0)

y intercept (0, -3)

Step-by-step explanation:

Infinite

The have infinite intercepts. They have the same slope and y-intercept. They are the same line. Any coordinate on one line will be on the other.

What is the shortest possible perimeter for an arrangement with an area of 15 square feet

Answers

Answer:

The answer is 16 ft

Step-by-step explanation:

Final answer:

The shape with the smallest possible perimeter for a given area is a circle but among quadrilaterals, it's a square. Given an area of 15 square feet, the length of each side of the square would be approximately 3.87 feet, and the perimeter would be approximately 15.49 feet.

Explanation:

The disciplines specified here is Mathematics, and the question is related to the correlation between an area and perimeter of a shape. In this case, the shape with the smallest possible perimeter for a given area would be a circle. However, if we only examine quadilateral shapes, then the shape with the minimum possible perimeter would be a square because a square is the quadrilateral that has the maximum area for a given perimeter.

If the area of the square is 15 square feet, then you can determine each side of the square by taking the square root of the area. The square root of 15 is approximately 3.87 feet. Now, to determine the perimeter of the square, you multiply this value by 4 because a square has four sides of equal length, hence perimeter is ~15.49 feet.

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Dale says the ratios 3:5 and 2:10 are equivalent. Is he correct?

Answers

Answer:

Dale says the ratios 3:5 and 2:10 are equivalent.

He is wrong.

Let's compare the two ratios by converting them into the new forms which have the same denominator.

3/5 = 6/10

2/10 = 2/10

6/10 > 2/10 => 3/5 > 2/10

Hope this helps!

:)

By cutting away identical squares from each corner of a rectangular piece of cardboard and folding up the resulting flaps, an open box may be made. If the cardboard is 15 in. long and 7 in. wide, find the dimensions (in inches) of the box that will yield the maximum volume. (Round your answers to two decimal places if necessary.) smallest value in in largest value in

Answers

Answer:

Length l = 15 - 2x = 15 - 2(1.5) = 12.00 in

Breadth b = 7 - 2x = 7 - 2(1.5) = 4.00 in

Height h = x = 1.50 in

Step-by-step explanation:

The volume of a box can be written as;

V = l×b×h

Where;

Length = l

Breadth = b

Height = h

Let x represent the length of the cube cut out of the four edges.

Using the attached image;

Length l = 15 - 2x

Breadth b = 7 - 2x

Height h = x

Substituting the values to the volume equation;

V = (15-2x)(7-2x)(x)

V = 105x - 30x^2 - 14x^2 + 4x^3

V = 105x - 44x^2 + 4x^3

At Maximum volume, V' = dV/dx = 0

V' = 105 - 88x + 12x^2 = 0

Solving the quadratic equation, we have;

x = 5.83 or x = 1.50

x cannot be 5.83 since 2x > 7 (greater than the breadth of cardboard)

Therefore ;

Length l = 15 - 2x = 15 - 2(1.5) = 12.00 in

Breadth b = 7 - 2x = 7 - 2(1.5) = 4.00 in

Height h = x = 1.50 in

You are the manager of a monopoly. A typical consumer's inverse demand function for your firm's product is P = 250- 4Q, and your cost function is TC = 10Q. A. MC is fixed and is equal to $10 (MC=AC=S). MR=250-8Q.


(P=price, Q=quantity of output, TC=total cost, MC=marginal cost, MR=marginal revenue, S=supply)


1)What price the company should choose to get maximum profit if the company will use ordinary pricing strategy?

2)Now suppose the company is thinking about using price discrimination for lower income group of customers. If the company will offer discount of $30 in price to the lower income groups how much additional profit will the company earn? Illustrate graphically.

3)Explain the conditions needed to apply the price discrimination strategy?

Answers

Answer:

(1) 240-8Q=0240−8Q=0  (2) 225 (3) it is very necessary that the direct elasticity of demand for a product at a price from several buyers be different significantly;  so that customers are easily known, that further goods resale by buyers is not possible

Step-by-step explanation:

Solution

Given that:

(1) TR=∫MR=250Q−4Q  

Pr=TR-TC=250Q-4Q² - 10Q=240Q−4Q²  

Thus,

Pr   =240−8Q

240-8Q=0240−8Q=0

(2) Q=30

Now,

p=250-4 * 30=130

p=100

so.

100=250−4Q

Q=37.5

Pr=240×37.5−4×37.5²

=3375

Hence,

ΔPr=3600−3375=225

(3) For the execution of price discrimination by a monopolist, it is very important that the direct elasticity of demand for a product at a price from different buyers be remarkably different; so that  customers are easily known, that further goods resale by buyers is not done.

Clarissa has just completed her second semester in college. She earned a grade of Upper D in her 4​-hour linear algebra ​course, a grade of Upper D in her 5​-hour sociology ​course, a grade of Upper D in her 2​-hour engineering ​course, and a grade of Upper D in her 3​-hour philosophy course. Assuming that A equals 4​ points, B equals 3​ points, C equals 2​ points, D equals 1​ point, and F is worth no​ points, determine Clarissa​'s ​grade-point average for the semester.

Answers

Well if they are only talking about grade point if she earned D in all of her 4 classes than it would be a 4 point average but if they are asking about every hour than it would be 14 point credit

Clarissa's grade-point average for the semester is 1.

We have,

To calculate Clarissa's grade point average (GPA) for the semester, we need to assign points to each grade and calculate the weighted average.

Given the grade scale: A = 4 points, B = 3 points, C = 2 points, D = 1 point, and F = 0 points.

Clarissa earned the following grades:

Linear Algebra (4 hours): Upper D (D) = 1 point

Sociology (5 hours): Upper D (D) = 1 point

Engineering (2 hours): Upper D (D) = 1 point

Philosophy (3 hours): Upper D (D) = 1 point

To calculate the weighted average, we need to multiply each grade by the number of credit hours for the course and sum them up.

Then, we divide the total by the sum of the credit hours.

Total points = (1 * 4) + (1 * 5) + (1 * 2) + (1 * 3) = 4 + 5 + 2 + 3 = 14

Total credit hours = 4 + 5 + 2 + 3 = 14

GPA = Total points / Total credit hours = 14 / 14 = 1

Therefore,

Clarissa's grade-point average for the semester is 1.

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1. Find the area of the shaded sector.
- 12m
74

Answers

Answer:

888

Step-by-step explanation:

Im pretty sure this is the answer, if helpful please mark me as brainiest :>

According to a study conducted in one​ city, 34​% of adults in the city have credit card debts of more than​ $2000. A simple random sample of n equals 350 adults is obtained from the city. Describe the sampling distribution of ModifyingAbove p with caret​, the sample proportion of adults who have credit card debts of more than​ $2000. Round to three decimal places when necessary. A. Approximately​ normal; mu Subscript pequals0.34​, sigma Subscript pequals0.001 B. ​Binomial; mu Subscript pequals119​, sigma Subscript pequals8.862 C. Approximately​ normal; mu Subscript pequals0.34​, sigma Subscript pequals0.025 D. Exactly​ normal; mu Subscript pequals0.34​, sigma Subscript pequals0.025

Answers

Answer:

2000*24%=680\

Step-by-step explanation:

The two-way table shows the math and language arts course choices of eighth-grade students at Lana's school
Eighth-Grade Student Course Selections
Honors Mathematics Class
Non-Honors
Mathematics Class
18
72
Honors
English Class
Non-Honors English Class
24
111
What percentage of students who take honors English are taking a non-honors math class?
896
1896
20%
28%

Answers

Answer:

its c 20% on e2020

Step-by-step explanation:

find the gcf of
24, 14, 21

Answers

Answer:

1

Step-by-step explanation:

All the numbers provided can have a factor of 1.

eg.)

1*24=24

1*14=14

1*21=21

This is because there is only one factor they all commonly share, 1.

Answer:

The answer is 1.

Step-by-step explanation:

Nothing else divides into the numbers other than 1.

Hope this helped!!

If f(x) = 3x+5 and g(x) = -2x^2-5x+3 fins (f+g)(x)

Answers

Answer:

f(x) + g(x)  =  -2x^2 - 2x + 8

Step-by-step explanation:

Given:  f(x) = 3x+5 and g(x) = -2x^2-5x+3

Find  f(x) + g(x)

f(x) + g(x)  = 3x + 5 + (-2x^2 - 5x + 3)

f(x) + g(x)  =  5 + -2x^2 - 2x + 3

f(x) + g(x)  =  -2x^2 - 2x + 8

Answer:

  (f+g)(x) = -2x^2 -2x +8

Step-by-step explanation:

(f+g)(x) = f(x) +g(x)

  = (3x +5) +(-2x^2 -5x +3)

(f+g)(x) = -2x^2 -2x +8

Solve for x: x^2 = 3x + 10

Answers

Answer:
X=5,-2
Steps:
Get everything to the same side:
X^2-3x-10=0
Then factor:
(X-5)(x+2)=0
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Consider two bonds, a 3-year bond paying an annual coupon of 3%, and a 20-year bond, also with an annual coupon of 3%. Both bonds currently sell at par value. Now suppose that interest rates rise and the yield to maturity of the two bonds increases to 6%. a. What is the new price of the 3-year bond? Can you plz help me? Joseph is ordering a taxi from an online taxi service. The taxi charges $4 just for thepickup and then an additional $1 per mile driven. How much would a taxi ride code ifJoseph is riding for 9 miles? How much would a taxi ride cost that is m miles long? Describe your weekly activity as if you were an animal. Be creative and give yourself all of the attributes of the animal you choose.Example: If you swim, and you picked a dog to represent you, you might want to add how much trouble you had with your backstroke. You might talk about how, when it came time to dry off, you did not have to search for your towel you simply had to shake vigorously.Whoever is the most creative gets Brainliest :) Simplify the expression:-5a 6a + -9a How do paragraphs 11-13 develop Franciscos point of view about attending a new school?A.He feels confident.B.He feels comfortable.C.He feels hungry.D.He feels exhaustedPlease help it is due today .In the Star Wars franchise, Yoda stands at only 66 centimeters tall. Suppose you want to see whether or not hobbits from the Lord Of The Rings are taller than Yoda, on average. From prior research you know that the distribution of hobbit heights are approximately Normally distributed. From a sample of 7 hobbits, you nd their mean height x = 80cm with standard deviation s = 10.8cm. Does sample evidence suggest at the = 0.01 level of signicance that the average hobbit is taller than Yoda? Use steps A through F to test the appropriate hypotheses. A 1.5-kg mass attached to an ideal massless spring with a spring constant of 20.0 N/m oscillates on a horizontal, frictionless track. At time t = 0.00 s, the mass is released from rest at x = 10.0 cm. (That is, the spring is stretched by 10.0 cm.) (a) Find the frequency of the oscillations and express the displacement x as a function of time t. (b) Determine the maximum speed and the maximum acceleration of the mass. (c) At what location are the kinetic energy and the potential energy of the system the same? Positive ions from a base and negative ions from an acid forma How many atoms are present in 55 grams of iron theres also D D: 4m on top and 4m on the side Grade 7 students were surveyed to determine how many hours a day they spent on various activities. The results are shown in the circle graph below. Find the measure of the central angle for eating in the circle graph.a.) 28.8b.) 288c.) 60d.) 21.6I think it's (a), can you just double check please? I never trusted myself with percents lol. Thanks in advance \(^v^)/ what form of government does china have Which of the following statements is false?A. Barbed wire made it difficult for ranchers driving cattle north to the railroad because they had to go far around the fences instead of going in a straight path.B. Boll weevils could wipe out entire herds because they attacked the cattle and caused disease.C. overcrowded ranges made it difficult for the grass to recover, which could cause cattle to starveD. Ranchers who relied on wind mills and wells for irrigation and water for cattle could suffer if the water supplies went dry. Consider two ecosystems that scientists have labelled as ecosystem A and ecosystem B. The scientists have found that both ecosystems arehome to a roughly equal number of species. However, ecosystem A is dominated by a small number of species that are very abundant.Ecosystem B, by contrast, has a more even abundance of organisms across Its species.From this description, ecosystem B is consideredecosystem A.A.less biodiverse thanB.equally biodiverse asC. more biodiverse thanD. more valuable than CONCLUSION why is baseball called the national pastime?Need help What country did not try and colonize Africa?A- Great BritainB- GermanyC- ItalyD- SpainE- GreeceF- France two line are ___ if and only if they lie in the same plane and do not intersect, and two lines are __ if and only if they lie in the same plane and intersect at the right anglesA) partaken, perpendicularB) perpendicular, bisectorsC) parallel, bisectorsD) perpendicular, parallel Cooper Industries wants to replace two small delivery trucks with one larger delivery truck. The old trucks are valued at $13,000 each. The new truck will cost $52,000. If Coopers controllable margin is $97,000 and their operating assets were valued at $580,000 before they bought the new truck, what will their new ROI be?A: 17.5%B: 16.0%C: 15.3%D: 16.7% Italy, japan, and germany were known as the powers during world war 2 Steam Workshop Downloader