Courtney walks 1 mph slower than Brandi does. In the time that it takes Brandi to walk 6.5 mi, Courtney walks 5 mi. Find the speed of each person

Answers

Answer 1

Answer:

Courtney's walking speed = 3.33mph

Brandi's walking speed = 4.33 mph

Step-by-step explanation:

Let x = Courtney's walking speed

then

(x + 1) = Brandi's walking speed

:

Time = Distance/speed

Brandi walks 6.5 mi time = Courtney walks 5 mi time

6.5/x + 1 = 5/x

Cross multiply

6.5x= 5(x+1)

6.5x= 5x + 5

6.5x - 5x = 5

1.5x = 5

x = 5/1.5

x = 3.33 mph is Courtney's walking speed

Note that:

(x + 1) = Brandi's walking speed

3.33mph + 1 = 4.33mph

Therefore,

Courtney's walking speed = 3.33mph

Brandi's walking speed = 4.33 mph

Answer 2

The Courtney's walking speed = 3.33 mph. Brandi's walking speed = 4.33 mph.

We have given that,

[tex]6.5x - 5x = 5[/tex]

Courtney's walking speed = 3.33 mph

Brandi's walking speed = 4.33 mph

Let x = Courtney's walking speed

then (x + 1) = Brandi's walking speed

What is the formula time?

Time = Distance/speed

Brandi walks 6.5 mi time = Courtney walks 5 mi time.

[tex]6.5/x + 1 = 5/x[/tex]

Cross multiply

[tex]6.5x= 5(x+1)[/tex]

Simplify parenthesis right side

[tex]6.5x= 5x + 5[/tex]

1.5x = 5

Isolate x.

x = 5/1.5

x = 3.33 mph is Courtney's walking speed

(x + 1) = Brandi's walking speed

3.33 mph + 1 = 4.33 mph

Therefore,Courtney's walking speed = 3.33 mph

Brandi's walking speed = 4.33 mph

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Related Questions

And the number 6,497.4, the four next to the six is worth ___ times the other four.

A) 10

B) 100

C) 1,000

D) 10,000




The answer is : C

The answer is C because the four next to the six is three places to the left of the other four, its 1,000 times the other four

Answers

Yeah the answer is c

f(x)=6x+4. Find the inverse of f(x).

Answers

Answer:

c

Step-by-step explanation:

f(x)=6x+4

y=6x+4

x=6y+4

6y=x-4

y=(x-4)/6

f^-1(x)=(x-4)/6

Answer is Option-C

How to find Inverse Function:

1. First, replace f(x) with y. This is done to make the rest of the process easier.

2. Replace every x with a y and replace every y with an x.

3. Solve the equation from Step 2 for y.

(Here), Given

f(x) = 6x + 4

Let's inverse function be y.

y = 6x + 4

First step is to switch the positions of x and y.

Inverse: x = 6y + 4

x - 4 = 6y

=> y = (1/6) * (x - 4)

Option-C

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!!!!!!!!!!!!!!!!!!!! Yes

Answers

Answer:it id blurry but i think it is c

Step-by-step explanation:

Answer:

Step-by-step explanation:

gggh

PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!

PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!

PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!

Answers

Answer:

4.5 would be the answer

Step-by-step explanation:

estimate the circumference of a circle that has a diameter of 13 yards​

Answers

Answer:

aproximately 41 yards

Step-by-step explanation:

the equation equals 40.8 yards, rounded up is 41

The students in Miss Jackson's class are collecting pennies they decide to displayed in his facts of 10 how many stacks can they make with 345 pennies how many single pennies will they have left

Answers

34 Stacks of 10 with 5 pennies left.

Answer:

34 stacks with 5 pennies left

Step-by-step explanation:

345 / 10 = 34.5

10 * 34 = 340

345 - 340 = 5

One Solution, Infinite Solutions, No Solution

Answers

Answer:

options?

Step-by-step explanation:

gib options

Which expression demonstrates the use of the commutative property of addition in the first step of simplifying the expression (–1 + i) + (21 + 5i)? (–1 + i) + (21 + 5i) + 0 –1 + (i + 21) + 5i (–1 + 21) + (i + 5i) –(1 – i) + (21 + 5i)

Answers

Answer:

i think the answer is C, (-1 + 21) (i + 5i)

Step-by-step explanation:

i just took the test and got a 92% but it didnt tell me which ones were wrong. thats my best guess though. i hope it helps!

The expression demonstrates the use of the commutative property of addition in the first step of simplifying the expression as, (-1 + 21)+(i + 5i). Option C is correct.

What is an expression?

It is defined as the combination of constants and variables with mathematical operators.

It is given that the expression is, (–1 + i) + (21 + 5i)

We have to find the expression that demonstrates the use of the commutative property of addition

According to the commutative property of addition, altering the order of addends has no impact on the sum.

Commutative law refers to either of two rules pertaining to the addition and multiplication of numbers that are expressed symbolically as a + b = b + a and ab = ba. These principles imply that rearranging the terms or factors of any finite sum or product has no effect on it.

Thus, the expression demonstrates the use of the commutative property of addition in the first step of simplifying the expression as, (-1 + 21)+(i + 5i). Option C is correct.

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Draw 9:10 on a clock

Answers

Answer:

put the short hand at nine

Step-by-step explanation:

put the long hand and 10 minutes

Answer:

you can draw on your notebook and draw the clock

3x + y = 15 and y = 2x
The solution, given in (x,y) form is

Answers

Answer: (3, 6)

Step-by-step explanation:

3x + y = 15

y = 2x

Using substitution:

3x + 2x = 15

5x = 15

x = 15/5

x = 3

y = 2x

y = 2 * 3

y = 6

x = 3

y = 6

= (3, 6)

In a highschool, for every 13 students that take English class, There are 16 students who take math class. How many students take math if there are 65 students in English class?​

Answers

Answer:

80 students

Step-by-step explanation:

take 65 divide by 13, then x 5

Answer:

the correct answer would be 80 but if im wrong please correct me

Step-by-step explanation:

Find the point of intersection for the two functions through substitution. Show
your work
f(x) = -4x + 7
g(x) = 2x + 13
PLEASE HELP ME AND SHOW WORK I WILL MARK YOU THE BRAINLIEST!

Answers

Answer:  (-1, 11)

This means x = -1 and y = 11 pair up together.

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

Work Shown:

Set the two functions equal to one another. Solve for x.

f(x) = g(x)

-4x+7 = 2x+13

7 = 2x+13+4x ... adding 4x to both sides

7 = 6x+13

7-13 = 6x .... subtract 13 from both sides

-6 = 6x

6x = -6

x = -6/6 ... divide both sides by 6

x = -1

Use this x value in either function

f(x) = -4x+7

f(-1) = -4(-1)+7

f(-1) = 11

or

g(x) = 2x+13

g(-1) = 2(-1)+13

g(-1) = 11

Whichever function you pick, the input x = -1 leads to the output y = 11.

The point of intersection is (x,y) = (-1, 11)

Visual confirmation is shown below.

State the segment that represents the image, based on the information given.

Answers

Answer should be D. CPA

The clockwise rotation of  ΔAPG about 90 degree gives ΔCPA.

What is Rotation?

Each point in a figure is transformed into a rotation by rotating it a specific amount of degrees around another point.

Given:

We have ΔAPG.

Now, we have to rotate about 90 clockwise rotation.

Then, ΔAPG will overlap on ΔCPA

Hence, the clockwise rotation of  ΔAPG about 90 degree gives ΔCPA.

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Below is a diagram of Justin's garden. What is the area of his garden?

Answers

Answer:

230 ft²

Step-by-step explanation:

(20 * 10) + (26-20)*(10-7) = 200 + 18 = 218

(32*14) - 218 = 230

what is another way to write 2.24 x 100

Answers

Answer:

224

Step-by-step explanation:

2.24*100 is 224

You can do it two ways.

First way: use a calculator

second way: multiply it out with normal multiplication

third way: Each zero is one place. There are two zeroes in 100. So in 2.24, you move the point (dot) to the right TWO TIMES. THat makes it 224.0, which is basically 224.

If there are 34 successes in a sample with a size of 40, what is the sample
proportion?

Answers

Answer:

Step-by-step explanation:

0.85

Answer:

.85

Step-by-step explanation:

What are the interest cost and the total amount due on a six-month loan of $1,800 at 14.4 percent simple annual interest

Answers

Answer:

Results are below.

Step-by-step explanation:

Giving the following information:

Principal (P)= $1,800

Number of periods (t)= 6 months

Monthly interest rate (r)= 0.144/12= 0.012

To calculate the interest to be paid and the total amount due, we need to use the following formula:

I= P*r*t

I= 1,800*6*0.012

I= $129.6

Total amount= $1,929.6

1/2 + 2/3 divided by 1/6 =

Answers

Answer:

4 3/6 or simplified 4 1/2

Step-by-step explanation:

Answer:

The answer is 4.5

Step-by-step explanation: Trust me thats the answer :)

Find each unit rate.

140 mi in 3.5 h
a.
40 mi per h
c.
0.03 mi per h
b.
143.5 mi per h
d.
35 mi per h

Answers

a. 40 miles per hour

Answer:

40

Step-by-step explanation:

took the test

Can somebody help me with this problem

Answers

Answer:

42/6=7

Step-by-step explanation:

You are dividing 42 by 6, since only 6 can sit at a table

An online book store has 182 boxes of books in its warehouse. Each box has 32 books.

Part A
Which equation represents the best estimate of the total number of books in the warehouse?
180 × 30 = 5,400
180 × 40 = 7,200
190 × 40 = 7,600
200 × 40 = 8,000
Part B
Is the best estimate in Part A an underestimate or an overestimate? Explain.

It is an underestimate. The rounded value for 182 is less than 182, and the rounded value for 32 is less than 32. The estimated product must be less than the exact product.

It is an overestimate. The rounded value for 182 is greater than 182, and the rounded value for 32 is greater than 32. The estimated product must be greater than the exact product.

It is an overestimate. The rounded value for 182 is greater than the rounded value for 32. The estimated product must be greater than the exact product.

It is an underestimate. The rounded value for 32 is closer to 32 than the rounded value for 182 is to 180. The estimated product must be less than the exact product.

Answers

part a:
180 x 30

part b:
underestimate. the rounded value is less than the original number

Answer:

Part is A. Part B is underestimate. Part C (for the choose drop-off boxes are these: 1# < 2# < 3# <

Step-by-step explanation:

I took the test, hope it helps.

A drawing has a scale of 1 mm: 20 cm. What
is the scale factor of the drawing?

Answers

The scale factor of the drawing is 200.

Scale Factor of a Drawing

The first step to take when looking for the scale factor of a drawing is to ensure both measurements are on the same unit.

Given a scale for a drawing to be:  1 mm: 20 cm

1 cm = 10 m

Therefore:

20 cm = 200 mm

Scale factor = 200/1 = 200.

Therefore, the scale factor of the drawing is 200.

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The length, width and height of a rectangular prism is given as 15 cm, 10
cm and 5 cm respectively. What is the volume of the prism? *

A) 30cm3
B)150cm3
C)750cm3
D)750

Answers

Answer:

Its option C

Step-by-step explanation:

to find the volume you multiply the length, width and height together.

C is the correct answer.

Why?

Volume is calculated by multiplying a, b and c
V = a x b x c
V= 15 cm x 10 cm x 5 cm
V= 750cm^3

Do note that since we are finding the volume, the proper measurement would be cm^3

prove that a rectangle has congruent diagonals

Answers

Answer:

Look below

Step-by-step explanation:

Lets say there is a rectangle abcd

One way is: Triangle ABC is congruent to triangle DCB

Another way is: Since a rectangle is a parallelogram too, segment ab=dc. This is because opposite sides of a parallelogram are congruent.

Please help photo attached

Answers

Answer:

C

Step-by-step explanation:

conjugate just changes the sign of the radical (but nothing else)

Answer:
C
Explanation:
I took the test

Find all solutions to the equation.

7sin2x - 14 sin x + 2 = -5

Answers

Answer:

Step-by-step explanation:First, group and combine like terms:

x

3

+

2

x

2

+

7

x

2

+

14

x

x

3

=

(

2

+

7

)

x

2

+

14

x

x

3

+

9

x

2

+

14

x

Next, factor out an

x

from each term in the expression:

(

x

x

2

)

+

(

x

9

x

)

+

(

x

14

)

x

(

x

2

+

9

x

+

14

)

Because

7

+

2

=

9

and

7

2

=

14

we can factor the quadratic term as:

x

(

x

+

7

)

(

x

+

2

)

Congruence question will give brainliest

Answers

Answer:

A

Step-by-step explanation:

I will mark brainliest

Answers

Answer:

It's x = 12 (d)

Step-by-step explanation:

Subtract 4 on both sides: (16 - 4) - x = (4 - 4)

12 - x = 0

Then add x on both sides: 12 (- x + x) = (0 + x)

12 = x

Therefore x = 12

6 divided by 3 1/3?
1 20
2 1 4/5
3 2

Answers

Answer:

1 4/5

Step-by-step explanation:

14/5

Step-by-step explanation

I need help with solutions

Answers

Answer:

10. b 11. b 12. b 13. a 14. b 15. b 16. a 17. a 18. b 19. a 20. a 21. b

Step-by-step explanation:

I'm pretty sure they are all right

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