Setup a rational equation and solve it from the word problem. Mr. Solberg can ride his scooter 3 miles against the wind in the same time it takes him to scooter 4 miles with the wind. If the speed of the wind is 5 mile per hour, how fast does Mr. Solberg scooter when there is no wind?

Answers

Answer 1

Answer:

The speed of Mr Solberg's scooter when there is no wind is 35 miles per hour

Step-by-step explanation:

The given parameters are;

The time Mr. Solberg rides his scooter and cover 3 miles against the wind = The time Mr. Solberg rides his scooter and cover 4 miles with the wind

The speed of the wind = 5 miles per hour

Let v, represent the speed of Mr Solberg's scooter when there is no wind, we have;

Time = Distance/Speed

Mr Solberg's speed against the wind = v - 5

Mr Solberg's speed with the wind = v + 5

The distance covered at a given time, while riding against the wind = 3 miles

The distance covered at the same time, while riding with the wind = 4 miles

The time in both instances are therefore 3/(v - 5) = 4/(v + 5)

From which we have;

3 × (v + 5) = 4 × (v - 5)

3·v + 15 = 4·v - 20

20 + 15 = 4·v - 3·v

4·v - 3·v = 20 + 15

v = 35

The speed of Mr Solberg's scooter when there is no wind = v = 35 miles per hour.


Related Questions

Which expressions give the monthly pay of an employee with 33 hours of training

Answers

Answer:

A-33(PAY) OR 33(P)

B-33 x pay or 33 x p

C-hours(33)or H(33)

D-pay(33) or p(33)

its D is correct hope this helps

There are 7 girls in a bus. Each has 7 backpacks. In each backpack, there are 7 big cats. For every big cat, there are 7 little cats. How many legs are there in the bus?

Answers

Answer:

10,990 legs

Step-by-step explanation:

There are 7 girls in the bus

= 7 × 2 = 14 legs

Each bag pack there are 7 big cats

= 7 × 7 × 7 × 4= 1372 legs

For every big cats there are 7 small cars

= 7×7×7×7×4= 9,604 cats

Therefore the total legs in the bus can be calculated as follows

= 14 +1372+9604

= 10,990 legs

Hence there are 10,990 legs in the bus

what is the value of x
1. 124
2. 62
3. 112
4. 68
explain why the answer is correct ​

Answers

Answer:

3.112 because 56+56=112

Answer:

The answer is 4. 68

Step-by-step explanation:

since equal sides of triangle,it has equal angle at the base of triangle.So, the two angles of triangle at base is 56. The sum of angles in a triangle is 180.Therefore,56+56+x=180

x=180-112

x=68

Factor the GCF: −14y2 + 12y − 22

Answers

Answer: The answer is x(x^4+7x^3y^3–8y^4+14y).

Step-by-step explanation:

I need help ion fully know what to do

Answers

For the first half; 2 is corresponding, 3 is alternate interior, 4 is alternate exterior, 5 is corresponding and 6 is alternate interior. As for the second half; 7 is 55 degrees, 8 is 145 degrees, 9 is 35 degrees, and 10 is 55 degrees.

Allie created a garden in the shape a right triangle. Which set of measurements could represent the lengths of the sides of her garden
A. 1in, 5in, and 6in
B. 3ft, 3ft, and 4ft
C. 9cm, 9cm, and 9cm
D. 6m, 8m, and 10m

Answers

Answer:

D

Step-by-step explanation:

[tex] {c}= \sqrt{ {a}^{2} + {b}^{2} } [/tex]

[tex]c = \sqrt{ {6}^{2} + {8}^{2} } [/tex]

[tex]c = \sqrt{36 + 64} [/tex]

[tex]c = \sqrt{100 } [/tex]

[tex]c = 10[/tex]

Pythagorean theorem

What is the inequality for the graph [-7,3], [0,-4]

Answers

Answer:

[45]

Is the answer................

Multiply out 3(2x-7)

Answers

Answer:

6x-21

Step-by-step explanation:

3*2x = 6x

3*-7 = -21

6x-21

The answer is 6x-21, multiply the equation with distributive property

Please do quick
Estimate the amount of the tip by rounding the bill to the nearest dollar before calculating.

20% tip on a bill of $59.82

Answers

Answer:

$12

Explanation: 60 x .2= 12 + 60= $72

HELP PLEASE !!!!!!!!!

Answers

Answer:

I believe it would be the first option

if f(x)=g(x)-10 and g(x)=3x-18 then what would the equation
represent f(x)

Answers

Hello!

[tex]\large\boxed{f(x) = 3x - 28}[/tex]

If f(x) = g(x)-10, substitute in the equation of g(x) to solve for f(x):

f(x) = (3x - 18) - 10

Simplify:

f(x) = 3x - 28

ap calc multiple choice question; attached below
please explain how, please!

Answers

Answer:

C. [tex]\frac{f(b)-f(1)}{b-1}=20[/tex]

General Formulas and Concepts:

Calculus

Mean Value Theorem (MVT) - If f is continuous on interval [a, b], then there is a c∈[a, b] such that  [tex]f'(c)=\frac{f(b)-f(a)}{b-a}[/tex]MVT is also Average Value

Step-by-step explanation:

Step 1: Define

[tex]f(x)=e^{2x}[/tex]

f'(c) = 20

Interval [1, b]

Step 2: Check/Identify

Function [1, b] is continuous.

Derivative [1, b] is continuous.

∴ There exists a c∈[1, b] such that [tex]f'(c)=\frac{f(b)-f(a)}{b-a}[/tex]

Step 3: Mean Value Theorem

Substitute:                    [tex]20=\frac{ f(b)-f(1)}{b-1}[/tex]Rewrite:                        [tex]\frac{ f(b)-f(1)}{b-1}=20[/tex]

And we have our final answer!

Which expression is equivalent to 4k+2k?

Answers

Answer:

it equals 6k but an equivalent expression could be 2k + 4k

Step-by-step explanation:

2k + 4k = 4k + 2k

Answer:

6k

Step-by-step explanation:

You can combine both of these terms because they both have the same variable (k). We know that 4+2=6, and the variable stays the same, 6k.

~theLocoCoco

If an exterior Angele of a regular polygon is an integer, what are the possible values of the angle?​

Answers

Answer:

Please read the explanied answer below.

Step-by-step explanation:

As we know that polygon is a shape that consists of at least three sides.The sum of exterior angles of any polygon = [tex]360^{\circ }[/tex]

We also know that a regular polygon has all the angles equal and all sides have the same length.

As we know:

Exterior angle = 360° ÷ No. of sides

When the number of sides changes, the angle also changes. Therefore, we would get different integers as answer.

For example:

In terms of a triangle:

Exterior angle = 360° ÷ No. of sides

                        = 360° ÷ 3 = 120°

In terms of a rectangle:

Exterior angle = 360° ÷ No. of sides

                        = 360° ÷ 4 = 90°

and in the same way

360° ÷ 5 = 72 °

360° ÷ 6 = 60 °

360° ÷ 8 = 45 °

360° ÷ 9 = 40°

and so on.

I hope it may have solved your query.

HURRY UP IF YOU ANSWER THIS QUESTION CORRECT I WILL NAME YOU BRAINLY WHAT IS 129 SQUARED

Answers

Answer:

11.3

Step-by-step explanation:

Answer:

16641

Step-by-step explanation:

129 x 129=16641

HTH :)

find the x-intercept and y -intercept 4x-7y=8​

Answers

Answer


X=2+7/4y

Y=-8/7+4/7x

Answer:

x- intercept = 2, y- intercept = - [tex]\frac{8}{7}[/tex]

Step-by-step explanation:

To find the x- intercept, let y = 0 in the equation and solve for x

4x - 7(0) = 8 , that is

4x = 8 ( divide both sides by 2 )

x = 2 ← x- intercept

To find the y- intercept , let x = 0 in the equation and solve for y

4(0) - 7y = 8, that is

- 7y = 8 ( divide both sides by - 7 )

y = - [tex]\frac{8}{7}[/tex] ← y- intercept

if -13x-71=201 what is x

Answers

Answer:

272/-13 or −20.923

Step-by-step explanation:

To solve this equation you need to isolate the variable.

First, add 71 to both sides

-13x-71+71=201+71

-13x=272

Then, divide both sides by -13

-13x/-13=272/-13

So, x=272/-13 or −20.923

Which one is correct?

Answers

Answer:

7

Step-by-step explanation:

Proprtion is 1:3

HOPE THIS HELPS

PLZZ MARK BRAINLIEST

Answer:7

Step-by-step explanation:

there all is divided by three for the smaller triangles

You move left 3 units. You end at -4, -3. Where did you start?

Answers

Answer:

(-4+3, -3) = (-1,-3)

Step-by-step explanation:

What is an equation in slope-intercept form of the line that passes through (6, 10) and is parallel to the graph of y=1/3x−1?
Here are the answer choices:
A: y−10=1/3(x−6)
B: y=1/3x+8
C: y−10=−3(x−6)
D: y=−3x+28

Answers

Answer:

B

Step-by-step explanation:

sope intercept form: (y=mx+b)

m = slope

m = 1/3 (slope of parallel lines are the same)

10 = 1/3(6)+b

10 = 2+b

b = 8

write with slope and b

y = 1/3x+8

The answer is B

Simplify each expression by combining like terms.
1) 11x + 9x
2) 8y - 7y
3) 5t - 7t
4) -n + 4n
5) 5w^2 + 12w^2

Answers

1.) 20x
2.) 1y
3.)-2t
4.)3n
5.)17w^2

4/6 = 9/12 is a proportion.

true false

Answers

Answer:

The answer is False 9/12 simplified equals 3/4

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

A rectangular garden has an area of 84 square feet. If the width of the park is 7 feet, what is the length?

Answers

Answer:

Length = 12

Step-by-step explanation:

L × W = Area

84 / 7 = 12

12 × 7 = 84

The required length of the given rectangular garden is given as 12 feet.

Given that,
A rectangular garden has an area of 84 square feet. If the width of the park is 7 feet, what is length is to be determined.

What is a rectangle?

The rectangle is 4 sided geometric shape whose opposites are equal in length and all angles are about 90°.

here,
Let the measure of the length of the rectangular garden be l,
Since,
Area of the rectangle  = length × width

Area of the rectangle = l × 7
l × 7 = 84
l = 84 / 7
l = 12 feet

Thus, the required length of the given rectangular garden is given as 12 feet.

learn more about rectangles here:

brainly.com/question/15019502

#SPJ2


At the local college, a study found that students earned an average of 14 credit hours per semester. A sample of 138 students was taken. What is the best point estimate for the average number of credit hours per semester for all students at the local college?

Answers

Answer:

1932 credit hours

Step-by-step explanation:

Create a proportion

credits             credits

----------     =      ----------

students          students

14      ?

---- = -----

1         138

14 times 138

1932 credit hours

The quotient of a number and -7 is 8. What is the number?​

Answers

Answer:

-56

Step-by-step explanation:

-56/-7 =8

If 2a = 3b, and 4a - 7 = 2b + 9. what is the value of a?

Answers

Answer:

1.5

Step-by-step explanation:

Kaniyah is making ribbons do school spirit day. Her roll of ribbon is 32 ft. long. For each individual ribbon, she needs 0.64 ft. How many ribbons can she make from her roll?

Answers

Answer 50 is the answer have a good day

Answer:

50 ribbons

Step-by-step explanation:

To find how many ribbons she can make, divide 32 by 0.64:

32/0.64

= 50

So, she can make 50 ribbons from her roll

Which of the following numbers can be expressed as repeating decimals? (5 points)

3 over 7 , 2 over 5 , 3 over 4 , 2 over 9 How can 38 over 6 be expressed as a decimal?

Answers

9514 1404 393

Answer:

  Repeating decimals:

3/72/9

  38/6 = 6.3_3   (repeating 3)

Step-by-step explanation:

  [tex]\dfrac{3}{7}=0.\overline{428571} \quad\text{repea}\text{ting decimal}\\\\\dfrac{2}{5}=0.4\\\\\dfrac{3}{4}=0.75\\\\\dfrac{2}{9}=0.\overline{2}\quad\text{repea}\text{ting decimal}[/tex]

The improper fraction 38/6 = 19/3 = 6 1/3. As a decimal, this is ...

  [tex]\dfrac{19}{3}=6.\overline{3}\quad\text{repea}\text{ting decimal}[/tex]

_____

The repeating part of a decimal fraction is conventionally written with an overbar, as shown in the typeset content above. In plain text, it is sometimes written with an underscore preceding the repeating digits.

the question is on then sheet ​

Answers

Answer:

6[tex]m^{2}[/tex][tex]n^{2}[/tex]-4mn+6

Step-by-step explanation:

PLEASE MARK BRAINLIEST I ONLY NEED 1 MORE!!!!!!!!!

[tex] = (11 {m}^{2} {n}^{2} + 2mn - 11) - (5 {m}^{2} {n}^{2} - 6mn + 17)[/tex]

[tex] = 11 {m}^{2} {n}^{2} + 2mn - 11 - 5 {m}^{2} {n}^{2} + 6mn - 17[/tex]

[tex] = (11 {m}^{2} {n}^{2} - 5 {{m}^{2} } {n}^{2} ) + (2mn + 6mn) + ( - 11 - 17)[/tex]

[tex] = 6 {m}^{2} {n}^{2} + 8mn - 28[/tex]

The other person is wrong

I can say that for sure.

What is the probability of spinning a white on the spinner

Answers

Answer:

where is the spinner?

Step-by-step explanation:

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