6. Alex and Brian park their bikes side-by-side. Alex leaves to visit friends, and Brian leaves 30 minutes later,
headed for the same destination. Alex pedals 5 miles per hour slower than Brian. After 1 hour, Brian passes Alex. At
what speed are they each pedaling?

Answers

Answer 1

Answer:

See below.

Step-by-step explanation:

When Brian passes Alex they both have travelled the same distance.

Call this distance d.

Let the speed that Brian passes = x miles/hour.

Distance = speed * time  so:

For Alex:

d = (x - 5) * 1.5        ( Alex cycles for 1 + 30 minutes =  1.5 hours)

For Brian:

d = x * 1

So substituting d = x in Alex's equation:

x = 1.5(x - 5)

x = 1.5x - 7.5

7.5 = 0.5x

7/5 / 0.5 = x

15 = x.

ANSWER:

Brian's speed is 15 miles/hour.

Alex's speed is 15 - 5 = 10 miles/hour.


Related Questions


Find the missing value.
Hint: Use the number line to find the missing value.
-5 = –10+

Answers

Answer:

the missing values is 5

I hope it's helps you

Can someone please help me?

Answers

Answer:I’m not sure

Step-by-step explanation: try and use the scientific demos

The data set represents the total number of pencils each student in a class needs to sharpen.

0, 1, 1, 1, 2, 3, 4, 4, 6, 6, 9

Which box plot correctly represents the data?

A number line goes from 0 to 10. The whiskers range from 0 to 9, and the box ranges from 2 to 6. A line divides the box at 3.
A number line goes from 0 to 10. The whiskers range from 0 to 9, and the box ranges from 2 to 6. A line divides the box at 4.
A number line goes from 0 to 10. The whiskers range from 0 to 9, and the box ranges from 1 to 6. A line divides the box at 4.
A number line goes from 0 to 10. The whiskers range from 0 to 9, and the box ranges from 1 to 6. A line divides the box at 3.

Answers

Given:

The data set is:

0, 1, 1, 1, 2, 3, 4, 4, 6, 6, 9

To find:

The correct statement that represents the box plot of the data correctly.

Solution:

We have,

0, 1, 1, 1, 2, 3, 4, 4, 6, 6, 9

Divide the data in 2 equal parts.

(0, 1, 1, 1, 2), 3, (4, 4, 6, 6, 9)

Divide each parenthesis in 2 equal parts.

(0, 1), 1, (1, 2), 3, (4, 4), 6, (6, 9)

Here,

Minimum value = 0

First quartile = 1

Median = 3

Third quartile = 6

Maximum value = 9

A number line goes from 0 to 10. The whiskers range from 0 to 9, and the box ranges from 1 to 6. A line divides the box at 3.

Therefore, the correct option is D.

Answer:

its d

Step-by-step explanation: my yt Tray Clayps

HELP ME PLSSSSS I NEED HELP PLS PLS PLS ITS PYTHAGOREAN THEOREM

Answers

H=9ftB=6ft

Using Pythagorean thereon

[tex]\\ \Large\sf\longmapsto P^2=H^2-B^2[/tex]

[tex]\\ \Large\sf\longmapsto P^2=9^2-6^2[/tex]

[tex]\\ \Large\sf\longmapsto P^2=81-36[/tex]

[tex]\\ \Large\sf\longmapsto P^2=45[/tex]

[tex]\\ \Large\sf\longmapsto P=\sqrt{45}[/tex]

[tex]\\ \Large\sf\longmapsto P=6.3ft[/tex]

Sailor Sheftal
Special Right Triangles (Radical Answers)
Jul 21, 10:57:01 AM
?
The figure below is a square. Find the length of side 3 in simplest radical form with a
rational denominator.
9
.
Submit Ansurer
Answer: 2=
Pls help me

Answers

Answer: [tex]9\sqrt{2}[/tex]

Step-by-step explanation:

The sides of a square are all equal in length.

Use the Pythagorean Theorem:

[tex]9^{2} +9^{2} =x^{2}\\x=\sqrt{9^{2} +9^{2}} =\sqrt{2(9)^{2} } =9\sqrt{2}[/tex]

The telephone numbers in a small town have two digits. They run from 00 to 99.

Of the 100 possible numbers, those that become smaller when reversed are not used, i.e. 21 is not used.

What is the maximum number of telephone numbers this town could have?

Answers

Answer:

[tex]55[/tex]

Step-by-step explanation:

We'll be using case-work to solve this problem. Let's call the ones digit of the telephone number [tex]B[/tex] and the tens digit [tex]A[/tex]. Each telephone number can be represented as [tex]AB[/tex].

Since the question states that numbers that are smaller when their digits are reversed are not used, we have the following inequality:

[tex]B\geq A[/tex]

This is because if [tex]A>B[/tex], the number would become smaller when [tex]A[/tex] and [tex]B[/tex] are switched in [tex]AB[/tex]. However, if [tex]A=B[/tex] or [tex]B>A[/tex], the number will not become smaller.

Let's work our way up starting with [tex]A=0[/tex]. If [tex]A=0[/tex], there are 10 other numbers (0-9) that we can choose for [tex]B[/tex] that adhere to the condition [tex]B\geq A[/tex]:

[tex]0B,\\01, 02, 03,...[/tex]

Therefore, there are 10 possible telephone numbers when the tens digit is 0.

Repeat the process, now assigning [tex]A=1[/tex]. Now, we only have the digits 1-9 to choose from for [tex]B[/tex], since [tex]B[/tex] needs to be greater than or equal to A. Therefore, there are 9 possible telephone numbers when the tens digit is 1.

This pattern continues. As we work our way up through the cases (when increasing [tex]A[/tex] by 1), the number of possible telephone numbers decreases by 1, since there becomes one less option for [tex]B[/tex].

The last case would be [tex]A=9[/tex] in which case there would only be one option for [tex]B[/tex] and that would be 9.

Since there are 10 cases (0-9), add up the possible telephone numbers for each case:

[tex]\displaystyle \sum_{n=1}^{10}n=1+2+3+4+5+6+7+8+9+10=\boxed{55}[/tex]

Alternatively, recall that the sum of this series can be found using [tex]\frac{n(n+1)}{2}[/tex], where [tex]n[/tex] is the number of values in the set. In this case, [tex]n=10[/tex], and we have:

[tex]1+2+3+4+5+6+7+8+9+10=\frac{10(11)}{2}=\frac{110}{2}=\boxed{55}[/tex]

Find the area and the circumference of a diameter 8yd Use the value 3.14 for π, and do not round answer

Answers

Answer:

circumference = 25.12 yards

area = 50.24 yards squared or yd^2

Step-by-step explanation:

circumference = pi * d

3.14 * 8 =

25.12

area = pi* r^2

r = 1/2 of d = 4

area = pi * 16

3.14 * 16 =

50.24

Answer:

Area: 50.24yds^2            Circumference: 25.12yds

Step-by-step explanation:

Area: The formula for area of a circle is a = πr^2.

The radius (r) of the circle is 4yds because it is half the length of the diameter. The equation would like like this:

A = (3.14)(4)^2

A = (3.14)(16)

A = 50.24yds

Circumference: The formula for circumference is 2πr. We already know all of the variables so we can plug them in.

C = 2(3.14)(4)

C = 25.12yds

Hope this helps

HELP ASAP LIKE PLEASE

Answers

Answer: (3b+2)(b+2)

Step-by-step explanation:

Answers plssssssssssssssssss

Answers

Answer:

3/2

Step-by-step explanation:

if u divide two fractions, it is same as multiplying with its reciprocal

I’m so confuseddddd

Answers

Answer:

i think second number.

not sure but i think that's the answer

A package of 4 red,white and blue hats costs $8. What is the unit rate

Answers

Answer:

$2/ hat

Step-by-step explanation:

Find the unit rate:

$ to hats

8 to 4

Divide by four to get the unit rate; over 1

2 to 1

So, $2 per hat

Hope this helps!

The answer is 2/ hat Bc I got it right

Hey can anyone help me pls

Answers

Answer:

6.8=6 8/5

.

.

.

.

.

.

.

hope it help

Yes and be careful on fort mind I’m going fishing again for

pls pls pls help meeeeee

Answers

Answer:

i think you just extend the coordinates to the side, except the right point, by 3, and then the bottom ones go down by 3, and the top one goes up by 3

Step-by-step explanation:

Find the Quotient. Do NOT round

22.14 divided by 1.2

Answers

Answer:

18.45

Step-by-step explanation:

I used a calculator

Help
Find the volume of this cone.
Use 3 for T.
6ft
V =
3
Tr2h
1
10ft
V
V-
[?]ft3
A

Answers

Answer:

[tex]V=90[/tex]

Step-by-step explanation:

Step 1:  Find the volume of the cone

[tex]V = \frac{\pi *r^{2}*h}{3}[/tex]

Plug in the values

[tex]V = \frac{\pi *3^{2}*10}{3}[/tex]

Simplify and Solve

[tex]V = \frac{\pi *9*10}{3}[/tex]

[tex]V = \frac{90\pi }{3}[/tex]

[tex]V = \frac{90*3 }{3}[/tex]

[tex]V=90[/tex]

Answer:  [tex]V=90[/tex]

A woman gave birth to twins. The baby girl was 6 lb. 5 oz. And the boy was 5 lb. 12 oz. How much did they weigh together?

Answers

Answer:

12lb and 7oz

Step-by-step explanation:

you can just add it together and get an answer

Answer:

11 lbs 17oz

Step-by-step explanation:

Which of the following equations of a line is NOT written in standard form?
A. 12x - 2y = 82
B. y = -2x - 1
C. x – 7y = 22
D. -x + 5y = 10

Answers

Answer: B

Step-by-step explanation:

Its written in slope intercept form not standard

all I've found is 1 but how do I work that out properly beaides guess and check​

Answers

Answer:

1

Step-by-step explanation:

(1-x)/x=0

or, 1-x=0

or, -x=-1

or, x=1

Answer:

F(x) = 0 when x=1

Step-by-step explanation:

We need the numerator to equal zero

1-x = 0

Add x to each side

1-x+x = 0+x

1 =x

The denominator cannot equal zero( The denominator does not equal zero when x =1)

F(x) = 0 when x=1

The shaded area in the distribution below represents approximately 95% of the data. Use the diagram to find the mean and the standard deviation.

Answers

Answer:

85 i guess

Step-by-step explanation:

The mean of the distribution is 70 and the standard deviation of the distribution is 4.

The shaded area in the distribution below represents approximately 95% of the data. This means that the shaded area is equal to 1.96 standard deviations from the mean.

The 68-95-99.7 rule states that 95% of the data in a normal distribution falls within 2 standard deviations of the mean. So, the shaded area in the distribution below represents the area between 1.96 standard deviations below the mean and 1.96 standard deviations above the mean.

The mean of the distribution is the center of the shaded area. The standard deviation of the distribution is the distance from the mean to the edge of the shaded area.

In this case, the mean of the distribution is approximately 70. The standard deviation of the distribution is approximately 4.

Here is a step-by-step explanation of how to find the mean and the standard deviation:

Identify the shaded area in the distribution.

Remember that the shaded area represents 95% of the data.

Use the 68-95-99.7 rule to determine that the shaded area is between 1.96 standard deviations below the mean and 1.96 standard deviations above the mean.

Find the mean by averaging the two points on the distribution that are 1.96 standard deviations from the mean.

Find the standard deviation by subtracting the mean from one of the points on the distribution that is 1.96 standard deviations from the mean.

Therefore, the mean of the distribution is approximately 70 and the standard deviation of the distribution is approximately 4.

To learn more about standard deviation here:

https://brainly.com/question/13498201

#SPJ2

what is the sum of the square root of 63 and 144,divided by 5​

Answers

Answer:

Step-by-step explanation:

(√63 + 144)/5 = (3√7 + 144)/5 = 0.6√7 + 28.8

the answer is 3.98745078664 or ≈4

How would I do this??

Answers

Part 1

[tex]\left(\frac{g}{h}\right)(x) = \frac{g(x)}{h(x)}\\\\\left(\frac{g}{h}\right)(x) = \frac{3x-5}{-2x^2+7}\\\\\left(\frac{g}{h}\right)(3) = \frac{3(3)-5}{-2(3)^2+7}\\\\\left(\frac{g}{h}\right)(3) = \frac{4}{-11}\\\\\left(\frac{g}{h}\right)(3) = -\frac{4}{11}\\\\[/tex]

Answer:  -4/11

====================================================

Part 2

Set the denominator function equal to zero and solve for x to find which values to kick out of the domain.

[tex]h(x) = 0\\\\-2x^2+7 = 0\\\\7 = 2x^2\\\\2x^2 = 7\\\\x^2 = 7/2\\\\x^2 = 3.5\\\\x = \sqrt{3.5} \ \text{ or } x = -\sqrt{3.5}\\\\[/tex]

This shows that if x is equal to either of those values, then the denominator h(x) will be zero. These are the values to kick out of the domain to prevent a division by zero error. Any other value of x is valid in the domain.

Answer: [tex]x = \sqrt{3.5} \text{ and } x = -\sqrt{3.5}\\\\[/tex]

2.1: Solve the one step equation

9. 70 = -5x
10. x4 = 36
11. 7x = -54

Answers

Answer:

-14, 9 and - 54/7

Step-by-step explanation:

70=-5x, x=-144x=36, x=97x=-54, x=-54/7

A dripping tap loses water at a rate of 5mL a minute.

How long does it take to lose one litre?

Answers

1 liter = 1000mL

Divide 1000mL by mL per minute:

1000 / 5 = 200 minutes ( 3 hours and 20 minutes)

please help, is associated with angles. thank u :)

Answers

Answer:

Step-by-step explanation:

Because those lines are parallel, that means that the angle measuring 75 and the angle measuring 4x + 7 are alternate interior and by definition are congruent. Therefore,

75 = 4x + 7 and

68 = 4x so

x = 17

convert 5.875baae 10 to base 2​

Answers

Yes exactly this helped sooo much
If you meant 5875 base 10 to base 2, it should be 1011011110011.

A square has an area of 49 cm squared what is the length of each side

Answers

Answer:

7

Step-by-step explanation:

[tex]s = {a}^{2} \: thus \: a = \sqrt{s } = \sqrt{49} = 7[/tex]

The length of the of each side of square is 7

Which statement is true regarding the graphed functions
f(4)=g(4)

F(4)=g(2)

F(2)=g(-2)

F(-2)=g(-2)

Answers

3.
When you are on the other side of the = you are opposite.

Find the coordinates of the image of Z(−3,−1) after the translation (x,y)→(x−2,y−7).

Answers

Answer:  (-5, -8)

======================================================

Explanation:

We get this point by doing two things.

Subtract 2 from the x coordinate, due to the x-2Subtract 7 from the y coordinate, because of the y-7

If we started with x = -3, then x-2 = -3-2 = -5. Also, if we had y = -1 then y-7 = -1-7 = -8

So that's how we end up with Z(-3,-1) moving to Z ' (-5, -8)

You could also show your work like this

[tex](x,y) \to (x-2, y-7)\\\\(-3,-1) \to (-3-2, -1-7)\\\\(-3,-1) \to (-5, -8)\\\\[/tex]

Which of the following represents the set in words?
{x | x ≤ 0}
all negative integers
None of these
all positive integers
all negative real numbers
all positive real numbers

Answers

Answer:

It's actually: None of these.

Think about it: In this case we have an inequality, of x ≤ 0.

This basically means, that x can be less than OR equal to 0.

But 0 is neither negative or positive, so we can eliminate the following answer choices:

- all positive integers

- all negative real numbers

- all positive real numbers

- all negative integers

And we are left with "None of these"

Let me know if this helps!

Option B is correct. None of these options is the right answer since zero is neither an integer nor a real number

Before we can decide which option is correct, first we must integers and real numbers are.

Integers are whole numbers. They can either be positive and negative.

Real numbers are numbers that are both whole numbers and fractions.zero is neither positive nor negative integer

Given the set of numbers {x | x ≤ 0}. The set of numbers in the set will be all integers less than zero including zero (zero is not an integer)

Hence the set of numbers are not all negative integers since 0 is not a negative integer.

They are not all positive integers rather they are mostly negative integers

They are not all positive and negative real values because zero is not a real integer.

Hence we can conclude that None of the options is correct.

 

Learn more here: https://brainly.com/question/2691012

Ed takes five 100-point tests in his algebra class. He scores 87, 85 and 87 points on the first three tests. If the scores of his last two tests differ by three points and he has a 90% average on his five tests, what was his highest test score?
PLS ANSWER QUICK WILL GIVE BRAINLIEST

Answers

Answer:

Step-by-step explanation:

When we take an average of something, we have to add up all the data on the somethings and then divide by the number of somethings we have. Ed takes 5 tests, and we have scores for them; we also have his current average. What we don't know for sure are 2 of the 5 test scores, but we have enough to determine what they are.

If one test has a score of x, and the other test is 3 points less than that, the score on that last test is x - 3. Putting all of that together into an average problem:

[tex]\frac{87+85+87+x+(x-3)}{5}=90[/tex] and simplfiying a bit:

[tex]\frac{256+2x}{5}=90[/tex]. Multiply both sides by 5 to get

256 + 2x = 450; subtract 256 from both sides to get

2x = 194 and divide by 2:

x = 97

The one test score was a 97 and the other one, which was 3 less than that, was a 94.

Other Questions
How many tacos could you buy on a Wednesday with 20 dollars and tacos cost 50. cents A bullet is fired vertically upward a velocity of 80m/s to what height will the bullet rise above the point of projection Solve for x Round to the nearest tenth one place after the decimal ! Answer in detail?? What precautions would you take to protect yourself from an earthquake, when you are at home and when you are outdoors? 3.How does the theory of efficient production apply to managers of government bureaus or departments that are not run for profit In a shipment of airplane parts, 6% are known to be defective. If 42 parts are found to be defective, how many parts are in the shipment? The weight of bags of fertilizer is normally distributed with a mean of 50 pounds and standard deviation of 6 pounds. What is the probability that a bag of fertilizer will weigh:a. Between 45 and 55 pounds?b. At least 56 pounds?c. At most 49 pound? When the function f(x) = 4(2)x is changed to f(x) = 4(2)x 13, what is the effect? (5 points) Select one: a. There is no change to the graph because the exponential portion of the function remains the same. b. The x-intercept is 13 spaces higher. c. The y-intercept is 13 spaces lower. d. All input values are moved 13 spaces to the left. How did Sumers location in the Fertile Crescent allow the civilization to have specialized workers? At a concession stand; three hot dogs and two hamburgers cost $9.75; two hot dogs and three hamburgers cost $10.25. Find the cost of one hot dog and the cost of one hamburger. pag aalsang sumuroy:paki answer po The use of radioactive substances as a therapy for in-stent restenosis of a coronary vessel is ______________________. Which professional would most likely use a diagram for their presentation? Check all that apply.a science teacher who wants to show the basic structures of a cella statistician who wants to illustrate how a math problem was solved* a river raft guide who wants to show the location of the best rapidsan economic development director who wants to show job growth over timeSa senator who wants to visualize the process a bill takes to become law Question 10B0/1 pt 3 16DetailsNASA launches a rocket at t = 0 seconds. Its height, in meters above sea level, as a function of time isgiven by h = - 4.96 +229 + 178.(A) Assuming that the rocket will splash down into the ocean, at what time does splashdown occur? (Roundanswer to 2 decimal places)The rocket splashes down afterseconds.(B) How high above sea-level does the rocket get at its peak? (Round answer to 2 decimal places)The rocket peaks atmeters above sea level.Submit QuestionHi How much money invested at 3% compounded monthly for 3 years will yield $520?$179.42$475.30$358.84$148.78 HELP ME ASAPPPP PLZZZZZ!!!!!For the reaction C + 2H2 CH4, how many grams of hydrogen are required to produce 16.8 moles of methane, CH4 ? Which statement is a hypothesis?AnswersA. I hear crikets in the summer, so crickets chirp more when its warm outsideB. Crickets are cooler than grasshoppers.C. If the temperature increases, then crickets will chirp more.D. Does temperature affect how much crickets chirp? 30 POINTS PLEASE HELP Your cousin, Sameer lives in another city. He has met with an accident in which he has injured his leg. Fortunately, the injury is not that serious but he will have to miss his Pre Mid-term examination. Write a letter to your cousin in about 120 words 2 difference between pupa of honey bee and pupa of silkworm??