Andre and Morgan are both headed to Florida for vacation. Andre will drive 70 miles per hour. Morgan will drive 55 miles per hour but will leave 3 hours earlier than Andre. How many hours will Morgan have been driving before Andre catches up with her?

Answers

Answer 1

Answer:

14hours

Step-by-step explanation:

Since Andre and Morgan are both heading to the same location i.e Florida, they will have the same distance.

Distance = Speed × Time

For Morgan:

His speed = 55mi/hr

Let his time = x

Distance covered by Morgan = 55x

For Andre

His speed = 70mi/hr

Time = x-3 (since morgan leaves 3 hours earlier than Andre)

Distance covered = 70× (x-3) = 70(x-3)miles

Since they are driving towards the same location;

55x = 70(x-3)

55x = 70x-210

55x-70x = -210

-15x = -210

x = 210/15

x = 14

Hence Morgan will have been driving 14hours before Andre catch up


Related Questions

Ryan is moving, and he is packing a box with plates and bowls. The box can only hold 12 pounds. Each plate weighs 1.2
pounds, and Ryan has already packed 4 plates in the box. Each bowl weighs 0.9 pounds. Which Inequality could be used to
find b, the number of bowls that can be added to the box?
OA. 4(1.2) + 0.90 <12
OB. 4(1.2 +0.9b) 12
OC. 4(1.2) + 0.96 > 12
OD. 4(1.2 + 0.9b) 12

Answers

Answer:

yay ryan is getting rid of his kitchen plates!!!

Step-by-step explanation:

Answer:

I think it's A

Step-by-step explanation:

1. Solve the shape equation puzzle?

Answers

Answer:

circle = 5, triangle = 2, square = 6

Step-by-step explanation:

If we look at the first and second equations, we see that circle + triangle + square = 13. Because triangle + square = 8, we can substitute this into the first equation, therefore, circle + 8 = 13 and circle = 5. Next, looking at the third equation, we see that circle + triangle = 7 and since circle = 5 we know that 5 + triangle = 7, therefore, triangle = 2. Finally, we can substitute triangle = 2 into the second equation which gives us 2 + square = 8, therefore, square = 6.

10 The table below shows the results of a swimming race.
Time (sec)
Name
Paula
47.983
Marci
50
Kelli
47.972
Susan
47.21
Carla
46
10
Brenda
46.97
Which of the following gives the first four finishers in order from 1st to 4th place
F Brenda, Carla, Marci, Paula
G Carla, Brenda, Marci, Susan
H Carla, Marci, Brenda, Susan
J Susan Marci Brenda. Carla

Answers

Answer:

G. Carla, Brenda, Marci, Susan

Step-by-step explanation:

The time given for all participants are in decimals except for that of Marci and Carla which are given in the form of mixed fractions.

Convert the mixed fractions into decimals, then compare the figures together to do the ranking.

Marci = [tex] 46\frac{49}{50} = \frac{2,349}{50} = 46.98 [/tex]

Carla = [tex] 46\frac{9}{10} = \frac{469}{10} = 46.9 [/tex]

The first four finishers from the 1st to the 4th are:

1. Carla - 46.9

2. Brenda - 46.97

3. Marci - 46.98

4. Susan - 47.21

Jeff can walk comfortably at 2.25 miles per hour. Find a linear equation that represents the total distance Jeff can walk in t hours, assuming he doesn't take any breaks.

Answers

The linear equation that represents the total distance Jeff can walk in t hours is d = 2.25t

How to find a linear equation that represents the total distance Jeff can walk in t hours?

The given parameters are

Speed = 2.25 miles per hour

The linear equation that represents the total distance (d) Jeff can walk in t hours is calculated as:

d = Speed * t

This gives

d = 2.25 * t

Evaluate

d = 2.25t

Hence, the linear equation that represents the total distance Jeff can walk in t hours is d = 2.25t

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What is 12.325 + 8.274

Answers

Answer:

20.599

Step-by-step explanation:

Answer:

12.325 + 8.274 = 20.599

The number line represents −412+314. What is the sum?

Answers

Answer:

the answer is -98

Step-by-step explanation:

i hope it is write

Answer:  The number line represents  −4 1/2 +3 1/4.

4*2+1 / 2 =8.5    +  3*4+1 /4 =3.25  

-8.5 + 3.25 =-5.25

What is the sum?  -5.25

C). -1 1/4    

Step-by-step explanation:

Evaluate 3(x+4)(x+1)/(x+2)(x-2) if x = 4 a.-10
B.10/3
C.-10/3
D.10

Answers

We would plug in x to all of those equations. So, 3(4+4)(4+1)/(4+2)(4-2). This would be 3(8)(5)/(6)(2). Then multiply them. 3(8)(5) would be 120. (6)(2) would be 12. Then divide 120 and 12 to get 10.

The solution of expression 3(x+4)(x+1)/(x+2)(x-2) at x=4 is 10.

What is expression?

An expression is a combination of numbers, symbols, variables, indeterminates, function. It is usually not present in equal to form. It expresses some relationship between variables.

How to evaluate expression?

The expression which is given as 3(x+4)(x+1)/(x+2)(x-2) and we have to find the value at x=4.

To find the value of expression at x=4 we have to put the value of x=4 in the expression.

at x=4, 3(4+4)(4+1)/(4+2)(4-2)

=(3*8*5)/6*2

=120/12

=10

Hence the value of expression 3(x+4)(x+1)/(x+2)(x-2) at x=4 is 10.

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PLEASE HELP meeeeeeee

Answers

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{4 \sqrt{15k} + 3 \sqrt{5k} }}}}}[/tex]

Option B is the correct option.

Step-by-step explanation:

[tex] \sf{ \sqrt{15k} (4 + \sqrt{3} )}[/tex]

Distribute √ 15 k through the parentheses

[tex] \dashrightarrow{ \sf{4 \sqrt{15k} + \sqrt{15k \times 3}}} [/tex]

[tex] \dashrightarrow{ \sf{4 \sqrt{15k} + \sqrt{45k} }}[/tex]

[tex] \dashrightarrow{ \sf{4 \sqrt{15k} + 3 \sqrt{5k} }}[/tex]

Hope I helped!

Best regards! :D

4(3x - 2) - x = 3x - 4x

Answers

Answer:

2/3

Step-by-step explanation:

Step 1:

4 ( 3x - 2 ) - x = 3x - 4x

Step 2:

12x - 8 - x = - x

Step 3:

11x - 8 = - x

Step 4:

11x = - x + 8

Step 5:

12x = 8

Answer:

x = 2/3

Hope This Helps :)

Answer:

[tex]\displaystyle{x=\frac{2}{3}}[/tex]

Step-by-step explanation:

[tex]4(3x-2)-x=3x-4x\\(12x-8)-x=3x-4x\\12x-x-8=3x-4x\\11x-8=3x-4x\\11x-8=-x\\11x=-x+8\\12x=8[/tex]

[tex]\displaystyle{x=\frac{8}{12}}[/tex]

[tex]\displaystyle{x=\frac{2}{3}}[/tex]

The movement of the progress bar may be uneven because questions can be worth more or less (including zero) depending on your answer
It is currently 25°C in Greensboro, NC. Use the formula F = $C + 32, where C = Celsius degrees and F =
Fahrenheit degrees, to convert 25°C to Fahrenheit degrees.
0 45.9°F
O 13°F
O 77°F
102.6 F
Submit
Pass
Save and close
Don't know
answer
pe here to search
O
BI
8
a
15

Answers

Answer: Third choice, 77

How to get this answer:

Replace C with 25. Then evaluate (use the order of operations PEMDAS)

F = (9/5)*C + 32

F = (9/5)*25 + 32

F = 1.8*25 + 32

F = 45 + 32

F = 77

25 degrees Celsius is equal to 77 degrees Fahrenheit

So it is 77°F in Greensboro, NC.

What is an equation?

An equation is written in the form of variables and constants separated by the operation of multiplication and division,

An equation states that terms in different forms on both sides of the equality sign are equal.

Multiplication and division do not separate the terms of an equation.

We know °F = (9/5)C + 32 converting unit of temparature to farhenhite.

Given, It is currently 25°C in Greensboro, NC.

∴ It is °F = (9/5)×25 + 32.

°F = 45 + 32.

°F = 77.

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Are the compositions of f(x) = 1 and g(x) = 2 commutative? Why or why not?

Answers

Answer:

D. They are not commutative, because f(g(x)) and g(f(x) are not equal.

Step-by-step explanation:

I guessed and got it right xD

Answer: D

They are not commutative, because f(g(x)) and g(f(x) are not equal.

Step-by-step explanation:

What is 21x+6 solve for x

Answers

Answer:

[tex]x = - \frac{2}{7} [/tex]

Step-by-step explanation:

[tex]21x + 6 = 0 \\ 21x = - 6 \\ x = - \frac{2}{7} [/tex]

•you divide both sides by 21 to leave x alone

If AB=3x-1, BC=6x, and AC= 26. Find the value of x.

Answers

Answer

let me try but i'm not sure

Step-by-step explanation:

Let's assume AC is a straight line and B is on the line and B is between A and C

AB+BC=AC

3x-1+6x=26

9x=27

x=3

x/a + x/b =c,a ne0,b ne0,a ne-b

Answers

Answer:

Step-by-step explanation:

[tex]\frac{x}{a} +\frac{x}{b} =c\\a\ne 0,b \ne 0,a \ne -b ~or~a+b \ne 0 \\x(\frac{1}{a} +\frac{1}{b} )=c\\x(\frac{b+a}{ab} )=c\\x=\frac{abc}{a+b}[/tex]

According to the video, who is the most common employer for Foresters? lumber companies the government paper companies conservation groups

Answers

Answer:

B. The Government

Step-by-step explanation:

Answer:

B is the anwser on egde 2020

Step-by-step explanation:

what algebraic expression represents GK?

Answers

Answer:

Explanation:

GK = GH + HJ + JK

But GJ = 3x + 5, HJ = x, HK = 4x - 1

Find GH:

GH = GJ - HJ
GH = (3x + 5) - x
GH = 3x + 5 - x
GH = 2x + 5

Find JK:
JK = HK - HJ
JK = (4x - 1) - x
JK = 4x - 1 - x
JK = 3x - 1

Find GK:

GK = GH + HJ + JK
GK = 2x + 5 + x + 3x - 1
GK = 6x + 4

Therefore, GK = 6x + 4

Ruth is training for a half-marathon. On Saturday, she ran 3 miles in 34.5 minutes. On Sunday, she ran 2.5 miles in 28 minutes. How much faster, in minutes per mile, was her pace on Sunday than on Saturday?

Write your answer as a decimal or a whole number.

Answers

Answer:

Step-by-step explanation:

on Saturday time taken to run 1 mile=34.5/3=11.5 min

on Sunday time taken to run 1 mile=28/2.5=280/25=56/5=11.2 min

difference in time taken=11.5-11.2=0.3

he was faster on Sunday by 0.3 min/mi

4a-2b+40 when a=2 and b=7

Answers

Answer:

34

Step-by-step explanation:

4(2)-2(7)+40

8-14+40

-6+40=34

4a-2b+40

4x2-2x7+40

8-14+40

-6+40

34 is the answer.

I'm not too sure on this. I need help ASAP, please and thank you.

Answers

Answer:

25

Step-by-step explanation:

A bag contains 8 green, 4 black and 6 yellow marbles. What is the probability of randomly selecting a yellow marble ?

Answers

Answer:

Step-by-step explanation:

8 green

What is the solution to the equation 1/4x+2= -5/8x-5?

Answers

Answer:

x=( -8)

Step-by-step explanation:

hope it helps.^-^

the food is sufficient for 1200 soldiers for 60 days how long the food last for 1000 soldiers​

Answers

Answer:

It would last for 54 days.

Step-by-step explanation:

After 15 days 200 soldiers leaved.

Soldiers              Food for days

1200 ↓                 45

1000                 ↑ x (let)

Arrows show the opposite variation to each other

1200     x

1000 = 45

Or, x =  1200×45

               1000

                 = 54 days.

please help!! will make branliest!!

Answers

Slide your Instagram

For which values of the parameter B the following system admits a unique solution [ 1 b 1-b 2 2 0 2–2B 4 0] [x y z] = [1 2 0]

Answers

Answer: β ≠ ±1

Step-by-step explanation: For a system of equations to have an unique solution, its determinant must be different from 0: det |A| ≠ 0. So,

det [tex]\left[\begin{array}{ccc}1&\beta&1-\beta\\2&2&0\\2-2\beta&4&0\end{array}\right][/tex] ≠ 0

Determinant of a 3x3 matrix is calculated by:

det [tex]\left[\begin{array}{ccc}1&\beta&1-\beta\\2&2&0\\2-2\beta&4&0\end{array}\right]\left[\begin{array}{ccc}1&\beta\\2&2\\2-2\beta&4\end{array}\right][/tex]

[tex]8(1-\beta)-[2(2-2\beta)(1-\beta)][/tex]

[tex]8-8\beta-4+8\beta-4\beta^{2}[/tex]

[tex]-4\beta^{2}+4\neq 0[/tex]

[tex]\beta^{2}\neq 1[/tex]

[tex]\beta \neq \sqrt{1}[/tex]

β ≠ ±1

For the system to have only one solution, β ≠ 1 or β ≠ -1.

How to simplify this problem: (4c^4)^3

Answers

Answer:

64c^12

Step-by-step explanation:

(4c^4)^3 distribute exponents

{(4)^3 (C^12)} simplify

64c^12

a local hamburger shop soda combined order of 497 hamburgers and cheeseburgers on Friday there was 53 fewer cheeseburgers sold than hamburgers how many hamburgers were sold on Friday

Answers

Answer:

you need a answer I can see 425

Determine the statement that is logically equivalent to this conditional statement. If there is a thunderstorm, the lake floods. A) If the lake does not flood, there is a thunderstorm. B) If the lake floods, then there is not a thunderstorm. C) If there is not a thunderstorm, the lake does not flood. D) If the lake does not flood, then there is not a thunderstorm.

Answers

Okay so yes d is the answer I hope this helps

Solve this inequality : 5x+7x<36

Answers

Answer:

x < 3

Step-by-step explanation:

5x+7x<36

12x<36

Divide both sides by 12

x<3

Find the absolute value and solve the problem
|-23| + |-15|

Answers

Answer:

38

Step-by-step explanation:

|-23| + |-15|

First find the absolute values, which are the non negative values

23 +15

Then add

38

The answer is

23+15=38

The data below is your data set for your mini lab. For this assignment, you are the researcher. You gave the facial recognition lab to 40 students, 20 males and 20 females. The data set below contains the number of correct hits for each subject. Complete the calculations below based on the data provided.Males 5 5 8 5 6 7 4 5 3 4 8 5 10 6 5 5 8 7 5 6Females 9 8 7 7 9 8 8 8 9 10 7 9 8 9 7 9 8 7 9 7 .Calculate the mean number of correct responses (hits) for male subjects. Round to the nearest hundreths place2. Calculate the Standard Deviation (SD) of the correct reponses for male subjects. Round to the nearest hundreths place3. Calculate the Standard Error of Mean (SEM) of correct responses for male subjects. Round to the nearest hundreths place.4. Calculate the mean number of correct responses (hits) for female subjects. Round to the nearest hundreths place5. Calculate the Standard Deviation (SD) of the correct reponses for female subjects. Round to the nearest hundreths place6. Calculate the Standard Error of Mean (SEM) of correct responses for female subjects. Round to the nearest hundreths place.7. Use a statistical software program or your favorite stats website and find the t value for an unpaired 2 sample t test using the data from the 2 groups, the males and females.8. What is the degree of freedom associated with this t test.9. The p value associated with the t value isa. less than .05b. greater than .05c. I have no idea10. Based on your calculations, would you reject the null hypothes that there is no difference between males and females on this recognition task?a. Yes, I would reject the null hypothesis.b. No, I would not reject the null hypothesis.c. I have no idea.

Answers

Answer:

Reject the null hypothesis that there is no difference between males and females on the recognition task.

Step-by-step explanation:

Use MS-Excel to compute the required values.

Consider the data for male subjects first:

Mean = [tex]\frac{1}{20}\sum X_{m}}=5.85[/tex] SD = [tex]\sqrt{\frac{1}{20-1}\sum (X_{m}-\bar X_{m})^{2}}=1.69[/tex] SEM = [tex]\frac{SD}{\sqrt{20}}=0.38[/tex]  

Consider the data for female subjects:

Mean = [tex]\frac{1}{20}\sum X_{f}}=8.15[/tex] SD = [tex]\sqrt{\frac{1}{20-1}\sum (X_{f}-\bar X_{f})^{2}}=0.93[/tex] SEM = [tex]\frac{SD}{\sqrt{20}}=0.21[/tex]  

Use the Data Analysis tool in Excel to perform the hypothesis test.

The hypothesis can be defined as follows:

H₀: There is no difference between the two responses, i.e.[tex]\mu_{m}-\mu_{f}=0[/tex] .

Hₐ: There is a significant difference between the two responses, i.e.[tex]\mu_{m}-\mu_{f}\neq 0[/tex] .

Consider the Excel output for the hypothesis test.

The test statistic value is:

t = -5.32

The degrees of freedom is:

df = 38

The p value associated with the t value is:

p-value =  4.91025E-06  < 0.05

As the p-value is less than the significance level the null hypothesis will be rejected.

Conclusion:

Reject the null hypothesis that there is no difference between males and females on the recognition task.

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