Plz help me solve this!!-

Amy drove her hoverboard 3 miles in 40 minutes. Jim hopped 2 miles in 20 minutes. Who traveled at a greater average speed? Define an appropriate unit of speed and provide mathematical justification for your answer

Answers

Answer 1

Answer:

Amy traveled at 4.5 mph, while Jim traveled at 6 mph. Therefore, Jim traveled at a greater average speed.

Step-by-step explanation:

Given that Amy drove her hoverboard 3 miles in 40 minutes, while Jim hopped 2 miles in 20 minutes, to determine who traveled at a greater average speed, the following calculation must be performed:

(3/40) x 60 = Amy's speed

0.075 x 60 = Amy's speed

4.5 = Amy's speed

So Amy traveled 4.5 miles per hour.

(2/20) x 60 = Jim's speed

0.1 x 60 = Jim's velocity

6 = Jim's speed

Instead, Jim traveled 6 miles per hour.

Therefore, Jim was the one who traveled at a greater average speed.


Related Questions

321. The lanes on the circular outdoor track are one meter wide. By running in the lane next to the innermost lane, Corey ran extra distance in an eight-lap race. How much

Answers

Length of first (inside) lane = 2πr
Length of second lane = 2π(r+1) = 2πr + 2π
8(2π) = 16π units

in the six grade 54% of the are boys. there are 189 boys in the sixth grade. what is the total number of the students in sixth grade

Answers

189 boys is 54%x is 46%(100-54)Cross multiply:189*46%=54%*x86.94=0.54xx=161189 boys 161 girls350 altogetherHope this helps plz hit the crown :D

Answer:

the total number of students in 6th grade would be 350

Step-by-step explanation:

I hope this helps! ^^

☁️☁️☁️☁️☁️☁️☁️☁️

PLZ HELP ME THIS IS 7TH GRADE MATH

Answers

Answer:

x would be 54 degrees

Step-by-step explanation:

Since x lies on a straight line, and it gives you the other angle (126) just subtract 180 and 126.

180 - 126 = 54

x = 54 degrees
Hope this helps!!!

I need help ASAP!!!!!

Answers

Answer:

3

Step-by-step explanation:

The square root of 9 is 3

х+5y = 16
x+3y = 10
what does x and y equal

Answers

Answer:
x = 0
y = 3.5

Explanation:
x + 5y = 16 x + 3y = 10
-x -x
5y = 16 3y = 10
5 x 3.5 = 16 3 x 3.5 = 10
x=1
y=-1
THIS IS THE CORRECT ANSWER

Leslie bought 5.2 gallons of gas. There are approximately 3.8 liters in 1 gallon. Which measurement is closest to the number of liters of gasoline Leslie bought?
A 5.72 L

B 1.37 L

B 19.76 L

D 7.1 L

Answers

Answer:

C

Step-by-step explanation:

What is the x- coordinate of the ordered pair that satisfies this system of linear equations?

Answers

The answer is 0 because the ordered pair is (0,-2)

A hotel manager is adding a tile border around the​ hotel's rectangular pool. let n represent the width of the​ pool, in feet. the length is 5 more than 2 times the​ width, as shown. Write two expressions that represent the perimeter of the pool.​

Answers

Answer:

2(3x+5)

6x+10

Step-by-step explanation:

W= x

L= 2x+5

2(x) + 2(2x+5)

The length of a rectangle is 8 ft longer than twice the width. If the perimeter is 70 ft, find the length and width of the rectangle.

Answers

Answer:

9 ft and 26 ft

we will take as x the width, then

P rect. = 2(A+B)

A = 2x + 8 | 2×x, because there is b twice less, and + 8, because there is at 8 longer

B = x

70 = 2(2x + 8 + x)

70-16 = 4x + 2x

54= 6 x

54/6 = 9 => B = 9; A = 2×9+8 = 26

Please put the Brainlest

6.2÷3/4= ? and Explain how you got your answer.

Answers

Answer:

8.26 or 8.3 (If Rounded)

Step-by-step explanation:

When I'm dealing with problems involving fractions. I turn the fractions to decimals. So, on a calculator, just do 3/4, you'll get 0.75.

Then, the problem would be 6.2 ÷ 0.75 = 8.26

A plane is flying to Metro City. The plane started its journey 1275 miles from Metro City.
Write an equation in standard form to represent the situation if the plane travels a hours at 550 mph and b hours at
590 mph.
Which equation is correctly written in standard form to represent this scenario?
0 590a - 550b = 1275
550a +590b = 1275
590a + 550b = 1275
550a - 5906 = 1275

Answers

Answer:

550a + 590b = 1275

Step-by-step explanation:

We use the following relation to solve this question:

[tex]v = \frac{d}{t}[/tex]

In which v is the velocity, d is the distance and t is the speed.

In this question, we find the distance, so we use:

[tex]d = v*t[/tex]

A plane is flying to Metro City. The plane started its journey 1275 miles from Metro City.

This means that [tex]d = 1275[/tex].

Write an equation in standard form to represent the situation if the plane travels a hours at 550 mph and b hours at 590 mph.

This means that [tex]v*t = 550a + 590b[/tex].

Which equation is correctly written in standard form to represent this scenario?

[tex]d = v*t[/tex]

1275 = 550a + 590b

550a + 590b = 1275

Solve the following rational equation for x.
x+5/9 = 11/15

Answers

I hope this helps x=0.17


Write the fraction as a sum of fractions three different ways.
7/10

Answers

The answer would be
5/10+2/10=7/10
1/10+3/10+3/10=7/10
6/10+1/10=7/10

Hope this helps

Have a great day/night

Find the surface area of the triangular pyramid. The side lengths of the base are equal.
8.7 cm
6 cm
10 cm
The surface area is
square centimeters.

Answers

Answer:

522.0

Step-by-step explanation:

10*6=60

60*8.7=522.0

or you can take out the zero either way that's the answer

Answer:

522.0

Step-by-step explanation:

Step-by-step explanation:

10*6=60

60*8.7=522.0

or you can take out the zero either way that's the answer

n the figure, j∥k and m∠7 = 65°. What is the m∠6?

Answers

Answer:

ΔABC ~ ΔEFD

Step-by-step explanation:

ΔABC ~ ΔEFDc

Answer:

I'm a cat, I'm a kitty cat, and a meow meow meow, and a meow meow meow

Need help with this please also explain

Answers

Answer:

430 cm³

Step-by-step explanation:

= 11 × 10 × 2

= 220 cm³

= 10 × 3 × (9-2)

= 210 cm³

= 220 + 210

= 430 cm³

Answer:

430 cubic centimeters

Step-by-step explanation:

Lets start by separating both figures. Start with the one in the back, which is the bigger one.

Given:

Length = 10 cm

Width = 3 cm

Height = 9 cm

This is a rectangle and the volume of a rectangle is L x W x H. Therefore,

Volume = 10 x 3 x 9 = 270 cubic centimeters

Now we move on to the second figure.

Given:

Length = 10 cm  (Given from the other rectangle)

Width = 8 cm (We do 11 - 3 since we separated the rectangles)

Height = 2 cm

Using the same formula we get the following.

Volume = 10 x 8 x 2 = 160 cubic centimeters

____

Finally, we add both volumes back since we separated the figures in the beginning.

Volume = 270 + 160 = 430 cubic centimeters

-1/2(2x-8) distribution

Answers

Answer:

-1x+4

Step-by-step explanation:

-1/2 times 2x equals -1x. -1/2 times -8 equals 4.

Express 3 kilograms as a fraction of 1800 grams

Answers

Answer:

3000/1800 = 5/3

Step-by-step explanation:

3 kilograms is 3000 grams = 3000/1800 simplified to the smallest is 5/3

sorry if this isn't what you're looking for


From a sample of 120 batteries, 3 are faulty. Work out the percentage of faulty
batteries.

Answers

Answer:

2.5%

Step-by-step explanation:

% = (faulty batteries / total batteries) x 100

= (3/120) x 100

= 0.025 x 100

= 2.5

Multiply 154.18 and 5 together. Round to the nearest hundredth when necessary.

Answers

Answer:

that will be 725.10 im not sure

Answer:

The answer is 770.9 and cant be rounded to the nearest tenth.

This exercise illustrates that poor quality can affect schedules and costs. A manufacturing process has 90 customer orders to fill. Each order requires one component part that is purchased from a supplier. However, typically, 3% of the components are identified as defective, and the components can be assumed to be independent.

Required:
a. If the manufacturer stocks 90 components, what is the probability that the 90 orders can be filled without reordering components?
b. If the manufacturer stocks 102 components, what is the probability that the 100 orders can be filled without reordering components?
c. If the manufacturer stocks 105 components, what is the probability that the 100 orders can be filled without reordering components?

Answers

Answer:

a) 0.0645 = 6.45% probability that the 90 orders can be filled without reordering components.

b) 0.4062 = 40.62%  probability that the 100 orders can be filled without reordering components.

c) 0.9034 = 90.34% probability that the 100 orders can be filled without reordering components

Step-by-step explanation:

For each component, there are only two possible outcomes. Either it is defective, or it is not. The components can be assumed to be independent. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

3% of the components are identified as defective

This means that [tex]p = 0.03[/tex]

a. If the manufacturer stocks 90 components, what is the probability that the 90 orders can be filled without reordering components?

0 defective in a set of 90, which is [tex]P(X = 0)[/tex] when [tex]n = 90[/tex]. So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{90,0}.(0.03)^{0}.(0.97)^{90} = 0.0645[/tex]

0.0645 = 6.45% probability that the 90 orders can be filled without reordering components.

b. If the manufacturer stocks 102 components, what is the probability that the 100 orders can be filled without reordering components?

At most 102 - 100 = 2 defective in a set of 102, so [tex]P(X \leq 2)[/tex] when [tex]n = 102[/tex]

Then

[tex]P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]

In which

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{102,0}.(0.03)^{0}.(0.97)^{102} = 0.0447[/tex]

[tex]P(X = 1) = C_{102,0}.(0.03)^{1}.(0.97)^{101} = 0.1411[/tex]

[tex]P(X = 2) = C_{102,2}.(0.03)^{2}.(0.97)^{100} = 0.2204[/tex]

[tex]P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0447 + 0.1411 + 0.2204 = 0.4062[/tex]

0.4062 = 40.62%  probability that the 100 orders can be filled without reordering components.

c. If the manufacturer stocks 105 components, what is the probability that the 100 orders can be filled without reordering components?

At most 105 - 100 = 5 defective in a set of 105, so [tex]P(X \leq 5)[/tex] when [tex]n = 105[/tex]

Then

[tex]P(X \leq 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)[/tex]

In which

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{105,0}.(0.03)^{0}.(0.97)^{105} = 0.0408[/tex]

[tex]P(X = 1) = C_{105,0}.(0.03)^{1}.(0.97)^{104} = 0.1326[/tex]

[tex]P(X = 2) = C_{105,2}.(0.03)^{2}.(0.97)^{103} = 0.2133[/tex]

[tex]P(X = 3) = C_{105,3}.(0.03)^{3}.(0.97)^{102} = 0.2265[/tex]

[tex]P(X = 4) = C_{105,4}.(0.03)^{4}.(0.97)^{101} = 0.1786[/tex]

[tex]P(X = 5) = C_{105,5}.(0.03)^{5}.(0.97)^{100} = 0.1116[/tex]

[tex]P(X \leq 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) = 0.0408 + 0.1326 + 0.2133 + 0.2265 + 0.1786 + 0.1116 = 0.9034[/tex]

0.9034 = 90.34% probability that the 100 orders can be filled without reordering components

I NEED THIS RIGHT NOW PLEASE. You have two options for a moon bounce rental company for the school carnival. The first company charges a $50 fee plus $15 per day. The second company charges a $80 fee plus $20 per day. Write and SIMPLIFY an expression that represents how much more the second company charges?

Answers

Answer:

The second one charges $35 more then the first one.

The Step-by-step explanation:

The first one 50+15=65

THe next one 80+20=100

100-65=35

What percentage of 10000 is 1847?

Answers

The answer is 18.47%, if not then I’m sorry

the answer is,

541.42%

I think this is the answer.

i need help on this pls​

Answers

Answer: 10

Step-by-step explanation:

All you have to do to get the bottom number is add the numbers already there

Answer:

The width is equal to 12 meters

Step-by-step explanation:

The Volume equals length x width x height. In our case, we know the length and the height so we can find the width the following way...

V = (l)(w)(h)

[tex]w = \frac{V}{(l)(h)}[/tex]

[tex]w = \frac{288}{(4)(6)}[/tex]

[tex]w = \frac{288}{24}[/tex]

w = 12 m

Which one doesn't belong? 100, 25, 36, 30

Answers

Answer:

Step-by-step explanation:

100 bro

Bianca graphs the data in the table and finds that the trend line is s = 2.2 f + 4.7. Based on the information given, a player who makes 22 free throws in a game should score about how many points? 39 44 53 66

Answers

Answer:

s = 53

Step-by-step explanation:

Bianca graphs the data in the table and finds that the trend line is :

s = 2.2 f + 4.7

We need to find the score when there are 22 free thrown in a game. Put f = 22 in the above equation.

s = 2.2(22) + 4.7

= 53.1

pr

s = 53

Hence, there is 53 score when f = 22.

Answer:

c

Step-by-step explanation:

Use the Pythagorean Theorem to find the length of the leg in the triangle shown below. 5, 13

Answers

Answer:

Leg= Leg- hypotenuse

Step-by-step explanation:

5 suquared= 25

13 squared= 169

25+169 =194

194 square root is 13.9

How to determine each side of a right triangle

if leg a is the missing side, then transform the equation to the form when a is on one side, and take a square root: a = √(c² - b²)

if leg b is unknown, then. b = √(c² - a²)

for hypotenuse c missing, the formula is. c = √(a² + b²)

Answer:

13.9 (rounded)

Step-by-step explanation:

The pathaegorean theorem is A²+B²= C²

5²=25

13²= 169

169+25=194

√194=13.9

Please help
Solve the equation.
2 x/-10=2/5

Answers

i belive 2x is -4 but if it’s wrong pls dont be mad
Answer: x=16

Step by step explanation: 2+ x/-10 = 2/5
⇔ -20 + x = -4
⇔x = 16

Hope this helps(:

The indefinite integral can be found in more than one way. First use the substitution method to find the indefinite integral. Then find it without using substitution. Check that your answers are equivalent. 6x^5(x^6-2)dx

Answers

Answer:

∫[tex]6x^5(x^6-2)\,dx[/tex] = [tex]\frac{1}{2}(x^6-2)^2+C[/tex]

Step-by-step explanation:

To find:

∫[tex]6x^5(x^6-2)\,dx[/tex]

Solution:

Method of substitution:

Let [tex]x^6-2=t[/tex]

Differentiate both sides with respect to [tex]t[/tex]

[tex]6x^5\,dx=dt[/tex]

[use [tex](x^n)'=nx^{n-1}[/tex]]

So,

∫[tex]6x^5(x^6-2)\,dx[/tex] = ∫ [tex]t\,dt[/tex] = [tex]\frac{t^2}{2}+C_1[/tex] where [tex]C_1[/tex] is a variable.

(Use ∫[tex]t^n\,dt=\frac{t^{n+1} }{n+1}[/tex] )

Put [tex]t=x^6-2[/tex]

∫[tex]6x^5(x^6-2)\,dx[/tex] = [tex]\frac{1}{2}(x^6-2)^2+C_1[/tex]

Use [tex](a-b)^2=a^2+b^2-2ab[/tex]

So,

∫[tex]6x^5(x^6-2)\,dx[/tex] = [tex]\frac{1}{2}(x^6-2)^2+C_1=\frac{1}{2}(x^{12}+4-4x^6)+C_1=\frac{x^{12} }{2}-2x^6+2+C_1=\frac{x^{12} }{2}-2x^6+C[/tex]

where [tex]C=2+C_1[/tex]

Without using substitution:

∫[tex]6x^5(x^6-2)\,dx[/tex] = ∫[tex]6x^{11}-12x^5\,dx[/tex] = [tex]\frac{6x^{12} }{12}-\frac{12x^6}{6}+C=\frac{x^{12} }{2}-2x^6+C[/tex]

So, same answer is obtained in both the cases.

Can someone please help me? I already done the first two just confused on the last part please explain when u answer thx peeps brainliest :)

Answers

Answer:

c.

[tex] - 1 < - 0.25 < 0 < 0.5 < 1.5[/tex]

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