Sue traveled 96 miles in 12 hours. A unit rate to describe Sue's travel is 8 miles per hour. What is another unit rate in this situation? (1 point) 1/8 mile per hour, 1/8 hour per mile, 1 mile per hour, 8 hours per mile

Answers

Answer 1

96 miles in 12 hrs...

miles / hr = 96/12 = 8 miles per hr

hr / mile = 12/96 = 1/8 hr per mile <==

Answer 2

Answer:

I believe the answer is 1/8 hour per mile

Step-by-step:

I don't know. I just believe that that is the most reasonable answer to this question and I have this question as well, it might seem hard it's really not.

Related Questions

Suppose the concentration of a certain pollutant is uniformly distributed in the range of 4 to 20 ppm (parts per million). if a concentration in excess of 15 ppm is considered toxic, what is the probability that a specimen will yield a toxic concentration level

Answers

Uniform probability? Here the probability function graph is a rectangle of length 20-4 (or 16) and width / height of 1/16. Note that the area under the graph from x=4 to x=20 is 1 (which is always the case when we're discussing probability functions). The area under the graph from 15 to 20 is (20-15)(1/16), or
5(1/16), or 5/16. Thus, the probability that a specimen will yield a toxic concentration level is 5/16.

I have no way of knowing what you already know about probability distributions. If you need a more detailed explanation, please ask questions here.

A rectangular field is to be bounded by a fence on 3 sides and a straight stream on the 4th side. Find the dimensions of the field with maximum area that can be enclosed using 1000 ft of rope. This is in the applied maximum and minimum chapter btw.

Answers

check the picture below.

[tex]\bf \stackrel{area}{A}=length\cdot width\implies A(w)=(1000-2w)w \\\\\\ \boxed{A(w)=1000w-2w^2} \\\\\\ \cfrac{dA}{dw}=1000-4w\implies 0=1000-4w\implies 4w=1000 \\\\\\ w=\cfrac{1000}{4}\implies \boxed{w=\stackrel{width}{250}} \\\\\\\ [1000-2(250)]\implies 1000-500\implies \boxed{l=\stackrel{length}{500}}[/tex]

and if you run a first-derivative test on say x = 249 and x = 251, you'll notice the slope is positive and negative respectively, meaning, is a maximum.

Final answer:

To maximize the area of the rectangular field, express the area in terms of one variable, derive the area function, and set it to zero for solving. The sides of the field yielding the maximum area are obtained using these calculations.

Explanation:

This question involves optimization in calculus, specifically related to finding the maximum area of a rectangle. In such a problem, the first step is to express the area (A) of the rectangle in terms of one variable. Given a fence that is 1000 ft in length, if we name the side perpendicular to the stream as 'x', and the side parallel to it (bounded by the fence) as 'y', the perimeter of the field is 2x + y = 1000.

We can express y in terms of x: y = 1000 - 2x. The area of the rectangle, A = x*y = x*(1000 - 2x).

To find the maximum area, we find the first derivative of A with respect to x, set it to zero and solve for x. The second derivative test will confirm if it's a maximum. Based on the solutions, the maximum area is achieved with the dimensions of the rectangular field being specific values of x and y that you compute.

Learn more about Optimization here:

https://brainly.com/question/33322941

#SPJ3

Is 9/6, 21/14 proportional?

Answers

Final answer:

The fractions 9/6 and 21/14 are proportional because both simplify to the same value, which is 1.5. Cross-multiplication also confirms their proportionality as the cross products are equal.

Explanation:

To determine if the fractions 9/6 and 21/14 are proportional, we can simplify each fraction or cross-multiply to see if we end up with an equivalent value. If two ratios are proportional, this means they are equivalent to each other when reduced to simplest form, or the cross products are equal.

Simplifying 9/6, we get 1.5, and simplifying 21/14, we also get 1.5. Since both simplified fractions result in the same value, 9/6 and 21/14 are indeed proportional.

We can also cross multiply to verify: (9×14) should be equal to (6×21). This results in 126 = 126, confirming that both ratios are indeed proportional.

Final answer:

The ratios 9/6 and 21/14 are proportional because both simplify to the same ratio 3/2, and cross-multiplication yields equal products, confirming proportionality.

Explanation:

To determine if the ratios 9/6 and 21/14 are proportional, we simplify each ratio. The ratio 9/6 simplifies to 3/2 and the ratio 21/14 simplifies to 3/2 as well. Since both simplified ratios are equal, we can confirm that 9/6 and 21/14 are indeed proportional ratios.

Another way to check for proportionality is to cross-multiply and see if the products are equal. Multiplying 9 times 14 and 6 times 21 gives us 126 in both cases, which reaffirms our conclusion. Thus, based on these methods, the given ratios are proportional.

During a catered lunch, an average of 4 cups of tea are poured per minute. The lunch will last 2 hours. How many gallons of tea should the caterer bring if there are 16 cups in one gallon?

Answers

4 cups every minute means 240 cups every hour:
4 X 60 (minutes per hour)

The lunch last 2 hours so if 240 cups is every hour then 480 cups would be for 2 hours.

Now covert 480 cups to gallons. It takes 16 cups to make 1 gallon. We would divide 480/16 = 30 gallons

Which shows the expressions in the order they would appear on a number line from least to greatest?

17 over 9, square root of 6, square root of 15, square root of 30, 3 to the power of 3

3 to the power of 3, square root of 30, square root of 15, square root of 6, 17 over 9

3 to the power of 3, square root of 6, square root of 15, 17 over 9, square root of 30

17 over 9, square root of 30, square root of 15, 3 to the power of 3, square root of 6
SOMEONE PLEASE HELP!!

Answers

[tex] \frac{17}{9} =1.888888889 [/tex]
[tex] \sqrt{6} =2.449489743[/tex]
[tex] \sqrt{30}=5.477225575[/tex]
[tex] 3^{3}=27 [/tex]

Answer:

Step-by-step explanation:

Kesha sharpened 4 colors of pencils for her teacher. She sharpened equal amounts of red and green pencils. Then she sharpened twice as many blue and yellow pencils in equal amounts. How many of the 42 pencils were yellow?

Answers

Variables are taken from the first letter of the color, ex: green = g.

Given:
r = g
2r = b = y
Total =42

So then:
r+ r + 2r + 2r = 42
6r = 42
r = 7

y = 2r
y = 2(7)
14 of the 42 pencils were yellow.

Answer:

Step-by-sstep explanation:

Find the intervals of convergence for the function. f(x)=sum_(n=1)^infinity x**n/n**2 32324243232 incorrect: your answer is incorrect. (b) find the intervals of convergence for f '.

Answers

[tex]\displaystyle\sum_{n\ge1}\frac{x^n}{n^2}[/tex]

will converge as long as

[tex]\displaystyle\lim_{n\to\infty}\left|\frac{\frac{x^{n+1}}{(n+1)^2}}{\frac{x^n}{n^2}}\right|<1[/tex]

according to the ratio test. We have

[tex]\displaystyle\lim_{n\to\infty}\left|\frac{\frac{x^{n+1}}{(n+1)^2}}{\frac{x^n}{n^2}}\right|=|x|\lim_{n\to\infty}\frac{n^2}{(n+1)^2}=|x|\left(\lim_{n\to\infty}\frac n{n+1}\right)^2=|x|<1[/tex]

so the sum will certainly converge whenever [tex]-1<x<1[/tex], but we also know the series will converge at the endpoints. [tex]\displaystyle\sum\frac1{n^2}[/tex] is a convergent [tex]p[/tex]-series, which means [tex]\displaystyle\sum\frac{(-1)^n}{n^2}[/tex] is also (absolutely) convergent, so in fact the interval of convergence is [tex]-1\le x\le1[/tex] (endpoints included).

Find the extreme values of the function f(x, y) = 4x + 8y subject to the constraint g(x, y) = x2 + y2 − 5 = 0.

Answers

[tex]L(x,y,\lambda)=4x+8y+\lambda(x^2+y^2-5)[/tex]

[tex]L_x=4+2\lambda x=0[/tex]
[tex]L_y=8+2\lambda y=0[/tex]
[tex]L_\lambda=x^2+y^2-5=0[/tex]

[tex]L_y-2L_x=2\lambda y-4\lambda x=2\lambda(y-2x)=0\implies y=2x[/tex]

[tex]xL_x+yL_y=2\lambda(x^2+y^2)+4x+8y=10\lambda+4x+8y=0\iff5\lambda+2x+4y=0[/tex]

[tex]y=2x\implies 5\lambda+5y=0\implies 5(\lambda+y)=0\implies y=-\lambda[/tex]

[tex]4+2\lambda x=0\iff4+\lambda y=0\iff4-y^2=0\implies y=\pm2[/tex]
[tex]y=\pm2\implies x=\dfrac y2=\pm1[/tex]

In other words, there are two critical points, [tex](1,2)[/tex] and [tex](-1,-2)[/tex]. At the first point, there is a maximum of [tex]f(1,2)=20[/tex] and at the second, there is a minimum of [tex]f(-1,-2)=-20[/tex].

The volume of a rectangular prism can be found by multiplying the base area, B, times the height. If the volume of the prism is represented by 15x2 + x + 2 and the height is x2, which expression represents B, the area of the base?

Answers

If you really meant that the height is x^2, then the area of the base is

15x^2 + x + 2
------------------ .
x^2

If you perform this division, you'll obtain 15 + (x+2)/(x^2).

So, again, verify your representation of the height of the prism.

It'd be good to have the multiple choice solutions to look at because it could be simplified.

Bx^2 = 15x^2 + x + 2
B = (15x^2 + x + 2) / x^2
or simplified like this
B = 15x^2/x^2 + x/x^2 + 2/x^2
B = 15 + 1/x + 2/x^2

dr. lee went to a bank to get a loan for some new furniture for the waiting area at her clinic. she wanted to borrow $5,000 to be paid back over 3 years. last week the interest rate was 4.25%. but this week theinterest rate went up to 4.50%. how much additional interest will Dr. lee pay because she waited the extra week

Answers

5000*(4.50%-4.25%)= 5000*0.25%=12.5 dollars

additional interest is 12.5 dollars.

A rumour spreads exponentially through a college. 100 people have heard it by noon, and 200 by 1 p.m. How many people have heard it (a) by 3 p.m., (b) by 12.30 p.m., (c) by 1.45 p.rn.?

Answers

a) people have heard it by 3 p.m is 800 people

b) people have heard it by 12.30 p.m is 141 people

c) people have heard it by 1.45 p.m is 530 people

Let's analyze this rumor spread problem. Each person who hears the rumor is assumed to spread it to exactly two other people.

a) By 3 p.m.: The rumor spreads for 3 hours after noon. Starting with 100 people at noon, by 3 p.m. it would be 100 * 2^3 = 100 * 8 = 800 people.

b) By 12:30 p.m.: The rumor spreads for half an hour after noon. That's 30 minutes or 0.5 hours. Since the rumor spreads exponentially, in half an hour, the number of people who hear it doubles once. So, by 12:30 p.m., it would be 100 * 2^0.5 = 100 * √2 ≈ 100 * 1.41 ≈ 141 people.

c) By 1:45 p.m.: The rumor spreads for 1 hour and 45 minutes after noon, which is 1.75 hours. So, by 1:45 p.m., it would be 100 * 2^1.75 ≈ 100 * 5.3 ≈ 530 people.

In summary:

a) 800 people

b) 141 people

c) 530 people

Merritt is driving to mount Shasta. On her map, she is a distance of 7.75 inches away. The scale on the map is .5 inch = 50 Miles. How far must Merritt travel to reach her destination?

Answers

193.75 miles cause 7.75 * .5 = 3.875 and 3.875* 50 = 193.75

Consider two identical iron nails: one nail is heated to 95 °c, the other is cooled to 15 °c. the two nails are placed in a coffee cup calorimeter and the system is allowed to come to thermal equilibrium. what is the final temperature of the two nails

Answers

Final answer:

In this case, the final temperature of the two nails will be an average of their initial temperatures, which is 55 °C.

Explanation:

When two objects at different temperatures come into contact, heat is transferred from the object with higher temperature to the object with lower temperature until they reach thermal equilibrium.

In this case, the heated iron nail at 95 °C will transfer heat to the cooled iron nail at 15 °C when they are placed in the coffee cup calorimeter.

The final temperature of the two nails will be an average of their initial temperatures, which is (95 °C + 15 °C) / 2 = 55 °C.

which expression would give the thirteenth term Given the sequence 8, 16, 32, 64, ...,
813
8 · 213
8 · 212 ? 813 8 · 213 8 · 212

Answers

if you notice, 8, 16, 32, 64 <--- 8 * 2 is 16, 16 * 2 is 32 and so on.

so, you get the next term's value by simply multiplying the "current term" by 2. So is a geometric sequence then.

therefore, the "common ratio" or multiplier is 2, and the first term's value is 8.

[tex]\bf n^{th}\textit{ term of a geometric sequence}\\\\ a_n=a_1\cdot r^{n-1}\qquad \begin{cases} n=n^{th}\ term\\ a_1=\textit{first term's value}\\ r=\textit{common ratio}\\ ----------\\ r=2\\ a_1\\ n=13 \end{cases} \\\\\\ a_{13}=8\cdot 2^{13-1}\implies a_{13}=8\cdot 2^{12}\implies a_{13}=8\cdot 4096 \\\\\\ a_{13}=32768[/tex]

Rachel bought a book for $5.49 And a game for $10.98. She paid with a $20 bill. Which is the best estimate of the amount of change she should receive?

Answers

Rachel will have about $3.53 in change---------

So,
We can round 10.98 to 11
We can round 5.49 to 5.50
11+5.50 = 16.50
20 - 16.50 = 3.5
So, the estimate of the amount of change Rachel would receive is $3.50.

write 129.04 in words

Answers

One Hundred Twenty Nine and Four Hundredths

One hundred twenty nine and four hundreds

Write the value of 1710 in standard form

Answers

Are y ou sure there's not more to this problem than you have shared?

1710 is already in simplest, standard form.

Sometimes you'll see it written as 1,710, which for some people is easier to read.

A jar holds 128 fluid ounces of juice. The label says the jar has 16 servings. How many fluid ounces are needed for 80 servings?

Answers

There are 16 servings for each 128 fluid ounces of juice.

Divide 80 servings by 16 servings, and 5 should be the quotient. Therefore, there are 5 jars of juice. Multiply 128 by 5 since 128 fluid ounces are in one jar. The answer should be 640 fluid ounces.

Answer: 640 fluid ounces

Step-by-step explanation:

We assume that the fluid ounces in jar is directly proportional to the number of servings.

Given : A jar holds 128 fluid ounces of juice. The label says the jar has 16 servings.

Ratio of fluid ounces of juice to number of servings =[tex]\dfrac{128}{16}[/tex] (1)

Let x denotes the fluid ounces are needed for 80 servings.

Ratio of fluid ounces of juice to number of servings =[tex]\dfrac{x}{80}[/tex] (2)

From (1) and (2) , we have

[tex]\dfrac{x}{80}=\dfrac{128}{16}[/tex] [in direct variation ration remains constant.]

[tex]x=\dfrac{128\times80}{16}=640[/tex]

Hence, 640 fluid ounces are needed for 80 servings.

During the 1998-1999 Junior Hockey League season, the Sharks played 66 games. Together, their wins and losses totaled 59. They tied 14 fewer games than they lost. How many games did they win that season?

Answers

We make [tex]w[/tex] an integer that represents the Sharks' wins, [tex]l[/tex] represent the losses, and [tex]t[/tex] represent the ties.

We know that [tex]w+l+t=66[/tex], [tex]w+l=59[/tex], and [tex]t+14=l[/tex].

We subtract the first two equations, to get [tex]t=7[/tex]. If we plug this into the third equation, we get [tex]l=21[/tex].

We plug this into the first equation and get [tex](w)+(21)+(7)=66[/tex]. Simplifying, we find that [tex]w=\boxed{38\text{ games}}[/tex].

What is the distributive property of 27 + 60

Answers

You could distribute them by 60 ( 27+30+27+30) or by 27 (60+20+7)

Hoped it helped! :)

match the top cards to the bottom cards to show doubles plus 1

Answers

This question is all about doubles. The given bottom cards 5 2 3 4 and the top cards are 1 4 3 2.

The problem is asking to match the top cards to the bottom ones then adding 1 to get the doubles.

So 1 should be corresponding to two. Since 1 + 1 = 2

4 should be corresponding to 5. Since 4 + 1 = 5

3 should be corresponding to 4. Since 3 + 1 = 4

And lastly, 2 should be corresponding to 3. Since 2 + 1 = 3

Smith High School offers a baseball camp that is $75 for 4 days of camp and a basketball camp that is $100 for 5 days of camp. Which camp is a better deal and by how much?

Answers

For the baseball camp, you would be paying $18.75 per day. For the basketball camp, you would be paying $20 per day. Judging by the prices, you would be more likely to have a better price for the baseball camp by 1.25. Yes, it isn't that much, but it's still worth it. Hope it helped!

A family pass to amusement park cost $54 using the distributive property write an expression that can be used to find the cost in dollars of 8 family

Answers

8(50+4)

I hope this helped! :))

Andreus made $625 mowing yards. He worked for 5 consecutive days and earned the same amount of money each day. How much money did Andreus earn per day

Answers

625 / 5 = 125 per day

What is X+.07x=44.94

Answers

X+.07x=44.94
Combine like terms.
1.07x=44.94
Divide both sides by 1.07 to isolate the variable.
x=42

The repeating decimal, 0.27..., is converted to the fraction 0.27..=3/x

what is the value for x in the fraction

Answers

i think the answer to your question is 11.11 I hope this helps

Answer:

The required number in the fraction is x=11

Step-by-step explanation:

Given : The repeating decimal, 0.27..., is converted to the fraction [tex]0.27....=\frac{3}{x}[/tex]

To find : What is the value for x in the fraction ?

Solution :

Let [tex]y=0.272727...[/tex] ....(1)

Multiply both side by 100,

[tex]100y=27.2727...[/tex] .....(2)

Subtract (1) and (2),

[tex]100y-y=(27.2727....)-(0.272727...)[/tex]

[tex]99y=27[/tex]

[tex]y=\frac{27}{99}[/tex]

[tex]y=\frac{3}{11}[/tex]

On comparing with [tex]0.27....=\frac{3}{x}[/tex]

The value of x is 11.

Therefore, The required number in the fraction is x=11.

(−5k
3
−6k+1)+(−6k
2
+5k)

Answers

Remove unnecessary parenthesis.

-5k 3 - 6k +1 - 6k 2 + 5k (simplify each term) -15k - 6k + 1 - 12k +5k = -28k +1

Answer: 28k + 1

Step-by-step explanation:

−5k

−6k

−k+1

Find the derivative of the function F(x) = (x4 + 9x2 − 5)4

Answers

The answer is [tex] 16x^{3} [/tex]

The required derivative of the function (x⁴ + 9x² − 5)⁴ is f'(x) = 4 (x⁴ + 9x² − 5)³(4x³ + 18x).

As per the question we have to determine the derivative of the f(x) = (x⁴ + 9x² − 5)⁴.

What is derivative?

A derivative is defined as the rate of change of the function with respect to the respective variables.

Here,
According to the question,
f(x) = (x⁴ + 9x² − 5)⁴
Differentiate both sides with respect to x.
f'(x) = d[(x⁴ + 9x² − 5)⁴] / dx
f'(x) = 4 (x⁴ + 9x² − 5)³ × (4x³ + 9×2x)
f'(x) = 4 (x⁴ + 9x² − 5)³(4x³ + 18x)

Thus, the required derivative of the function (x⁴ + 9x² − 5)⁴ is f'(x) = 4 (x⁴ + 9x² − 5)³(4x³ + 18x).

Learn more about derivatives here:
https://brainly.com/question/25324584
#SPJ2

If x has a continuous uniform distribution on the interval (0,5), what is the 25th percentile for x?

Answers

Given that [tex]X\sim\mathrm{Unif}(0,5)[/tex], it has PDF

[tex]f_X(x)=\begin{cases}\dfrac15&\text{for }0\le x\l5\\\\0&\text{otherwise}\end{cases}[/tex]

and thus CDF

[tex]F_X(x)=\mathbb P(X\le x)=\begin{cases}0&\text{for }x<0\\\\\dfrac x5&\text{for }0\le x<5\\\\1&\text{for }x\ge5\end{cases}[/tex]

The 25th percentile is the value [tex]X=k[/tex] such that [tex]\mathbb P(X\le k)=0.25[/tex]. We have

[tex]\mathbb P(X\le k)=\dfrac k5=0.25\implies k=1.25[/tex]

Which linear function has the same y-intercept as the one that is represented by the graph?

Answers

The answer would be C because the y-intercept is when x is equal to 0

y-intercept when x = 0
on the graph x = 0 , y = 3

function
y = 2x + 3 when x = 0
y = 3

answer
C. y = 2x + 3

Other Questions

When he wrote Things Fall Apart, Chinua Achebe was drawing on a number of prior novels written in English by native Africans.True or False? How is the underlined word used in the sentence? Keisha's best friend is Allison. A. subject B. direct object C. subject complement D. object of a preposition. (The underlined word is Allison) write the fraction in simplest form 8/10 The canal that was dug to re-channel water to the Everglades failed to improve the wetland habitat because _____. A. the water was too saline B. the water came too fast C. the water brought more alligators D. the water was too polluted. What is the meaning of the suffix in the word "thoracentesis"? In India, people can become very ill due to __________ found in __________. A.antioxidants . . . palm oilB.parasites . . . polluted airC.bacteria . . . polluted waterD.chemical waste . . . farms that use the slash-and-burn technique While supervising a smallpox vaccination program, a nurse manager observes a nurse cleansing the arm of a client with an alcohol swab before giving the vaccination. what should the nurse manager's first reaction be? What minimum speed must the rocket have just before impact in order to save the explorer's life? Corinthian columns have ____ at the top.a.simple scrollsc.sculptures of godsb.elaborate scrollsd.a leafy ornament Determine which of the sentences is written in active voice.A)The biography has been returned to the library.B)The Nathaniel Hawthorne essay was written by my best friend.C)I made a better grade on my essay than I thought I would make.D)The Scarlet Letter is being read by all of the English classes. Identify how conflict theory is similar to talcott parsons's structural functionalism in terms of the way they explain gender roles. Alfred thayer mahan supported moving the united states into a position of power by For most people, getting 8 to 9 hours of sleep increases concentration, improves physical health, and improves one's mood.Please select the best answer from the choices provided.TF Carmex moisture plus is priced between $2.49 and $2.99, a high price compared to the $0.99 carmex tube. carmex managers estimated that female consumers would be willing to pay more for the sleek packaging, benefits, and additional ingredients found in the moisture plus line and set the price accordingly. which demand-oriented approach is best reflected in the price of the moisture plus line? An is planning a birthday party for her younger sister at a skating rink. the cost of admission is $3.50 per adult and $2.25 per child., and there is a limit of 20 people. jan has $50 to spend. how many adults and how many children can jan invite? A 5 N force pushes on the right side of a box. At the same time, a 10 N force pushes on the left side of the box. What happens to the box? 2.Using the normal curve table, determine the area of the standard normal distribution that is less than the following z-scores:a.z = .30b.z = 1.75c.z = 2.42d.z = .68e.z = 1.11I need to see the answer and the formula doing this In what two-year period did radio ownership go from 60,000 to 1,500,000? A. 1922-23 B. 1939-40 C. 1916-17 D. 1954-55 In a soil profile, which is the second layer?A.parent rockB.topsoilC.subsoilD.solid rock When was the Fifteenth Amendment ratified? Steam Workshop Downloader