The song lasts 3 minutes and 27 seconds. If Rasmus' beloved has to get home before the song is over, and rides a bike at an average speed of 15 km / h, how far away must her work be from their home?
Set up an equation that describes the problem where x is the distance between home and work.

Answers

Answer 1

Answer:

Kindly check explanation

Step-by-step explanation:

From the question :

Duration, time, t = 3 minutes, 27 seconds = (3 * 60) + 27 = 207 seconds

Average speed = 15 km/h = (15*1000) /3600 = 4.16666 m/s

Let distance = x

Recall:

Speed = distance / time

Distance = speed * time

x ≤ (speed * time)

x ≤ (4.16666 * 207)

x ≤ 862.5 m

x ≤ (862.5 / 1000) km

x ≤ 0.862.5 km


Related Questions

Please Help!! Brainliest Answer! Thank you!

Answers

Answer:

x=4.5

Step-by-step explanation:

The sum of all the angles in a square=360°

20(4.5)=90

90×4=360

We have a square here. All angles are congruent (90 degrees) so 20x would equal 90 degrees
20x=90
x=4.5
Now let’s double check
20x
20(4.5)
90
Yep the answer is choice B) x=4.5

An average Sandhill crane is 37 inches tall. This is 22 inches less than the average Whooping Crane’s height. Write and solve an equation to show the average height of the Whooping crane.

Answers

Answer:

37 - 22 =  WC height

Step-by-step explanation:

The number of students enrolled at a college is 14,000and grows 4%each year

Answers

Answer:

so what exactly is the question? it's not complete yet, I guess..what do you want me to find?

Calculate the PERIODIC interest rate for a $10,000 loan
compounded semi-annually at a rate of 14%.

Answers

That would be 90% of the compound semi

PLEASE HELP I WILL GIVE BRAINLIEST

Answers

Answer:

55 lbs of $0.40 and 45 lbs of $1.40  

Step-by-step explanation:

Let's say that we have two buckets, one that weighs x pounds and the candies in it are $0.40 per pound and another that weighs 100-x pounds (because we know the two added together must be 100 pounds) and the candies in it are $1.40 per pound.

There is a third bucket that is made when you combine the two, it weighs 100 pounds and the candies in it are $0.85. Multiply the cents per pound by the pounds of the candy for each bucket and you get this equation:

0.4 * x + 1.4 (100-x) = 0.85 * 100

Solve!

0.4x + 140 - 1.4x = 85

-x + 140 = 85

-x = -55

x = 55

From this we get that 100 - x = 45.

So, the answer is 55 lbs of $0.40 and 45 lbs of $1.40

Enter the equation of the circle described below.

Center (3, -2), radius = 5

Answers

Answer:

[tex](x-3)^{2} +(y+2)^{2} =5^{2}[/tex]

Step-by-step explanation:

The equation of the circle with center A=(a,b) and radius = r are:

[tex](x-a)^{2}+(y-b)^{2} =r^{2}[/tex]

When A=(3,-2) and radius=r=-5

[tex](x-3)^{2} +(y+2)^{2} =5^{2}[/tex]

add 4 1/7+5 3/7+2/7.

Answers

Answer:

9 6/7 is the answer

The answer is 9 6/7 hope this helps

please help i need the answer asap :) !!

Answers

Answer:

6^(2/3)

Step-by-step explanation:

exponent fraction rule

Answer:

the first one, 6^2/3

Step-by-step explanation:

Please help me will give Brain

Answers

Step-by-step explanation:

y=42

x=90

Since the triangle has the hypotenuse as the diameter of the circle, the angle opposite the hypotenuse which is x is equal to 90 degrees.

Whenever there is a triangle with the corner of the triangle touching the side of the triangle, the distance between the two legs of the triangle on the circle is 2 times the angle of the corner that is touching. So 21(2)=42

Hope this helps :)

The cost of levelling a rectangular field at
50 per square metre is 30,000. If its length
and breadth are in the ratio of 3: 2, then find
its perimeter.​ pls help

Answers

Answer:

The perimeter of a rectangular field is 100 meters

Step-by-step explanation:

The given data of the rectangular field are;

The unit cost of levelling the rectangular field, U[tex]_c[/tex] = 50/m²

The total cost of levelling the field, T[tex]_c[/tex] = 30,000

The length to breadth ratio of the field, L:B = 3:2

Where;

L = The length of the field

B= The breadth of the field

From the given data of the field, we have;

The area of the field, A = T[tex]_c[/tex]/U[tex]_c[/tex]

∴ A = 30,000/(50/m²) = 600 m²

The area of the field, A = 600 m²

The formula for the area of a rectangle, A = Length, L × Breadth, B

A = L × B

We are given that the length to breadth ratio of the field, L:B = 3:2

∴ L/B = 3/2

L = (3/2) × B

The area of the rectangular field, A = L × B

∴ The area of the rectangular field, A = (3/2) × B × B = (3/2) × B²

A = (3/2) × B²

From the calculation for the cost of levelling the field, we have, A = 600 m²

∴ A = (3/2) × B²

A = 600 m²

By transitive property, we have;

(3/2) × B² = 600 m²

B² = (2/3) × 600 m² = 400 m²

B = √(400 m²) = 20 m

The breadth of the field, B = 20 m

From L = (3/2) × B, we have;

L = (3/2) × B

∴ L = (3/2) × 20 m = 30 m

∴ The  length of the field, L = 30 m

The perimeter, 'P', of a rectangle given the length, 'L' and breadth, 'B', is given as follows;

The perimeter of a rectangle, P = 2·L + 2·B

Therefore, for the rectangular field, we have;

P = 2 × 30 m + 2 × 20 m = 60 m + 40 m = 100 m

The perimeter of a rectangular field, P = 100 m.

GIVING BRAINIEST

Which of the following is an example of DESCEND?

A. a car traveling through a tunnel
B. a hiker climbing a mountain
C. a plane landing at the airport
D. a submarine climbing to the surface of the ocean

Answers

Answer:

D because you going up to the surface

Answer:

its c

Step-by-step explanation:

A computer can be bought on Hire
Purchase with a down-payment of
$ 1600 and 12 monthly installments of $ 500. If the cash price on the computer is $ 5600, how much more than the cash price is the Hire Purchase price?

A) $60
B) $760
C) $1600
D) $2000​

Answers

Answer:
D) $2000

Step by step explanation:
1600 + 12(500) = 1600 + 6000 = 7600
7600 - 5600 = 2000
Hope this helps!

Evaluate the expression for
b = -6.
3b =

Answers

Answer:

-18

Step-by-step explanation:

Hope that helps

You do 3(-6) to get neg 18

Answer:

-18

Step-by-step explanation:

-6 x 3 = - 18.

The graph shows the locations of point C and point D. Point E is graphed at (n, 2).
The distance from point D to point E is equal to the distance from point D to point C.
What is the distance from point D to point E? What is the value of n? Enter your answers in the boxes.

Answers

Answer:

4,n=4

Step-by-step explanation:

D=(n,-2) and E=(n,2)

the distance from D to E ,

√{(n-n)^2+(-2-2)^2}=√16=4

the co-ordinate of point C=(0,-2)

given,DC=DE

→√{(n-0)^2+(-2+2)^2}=√16

→n^2=16

therefore,n=4

What is the value of x in the triangle?

Answers

Answer:

X is 28

Step-by-step explanation:

All angles in a triangle ad up to 180 degrees.

85 + 67=152

180-152=28.

Hope it helped.

Answer:

28

Step-by-step explanation:

All triangles equal 180.

85+67=152

180-152=28

Your answer is 28

3. Larry randomly surveyed students in his school as to what the new school mascot should be. The results are shown in the table below.

(a) Which survey might be biased? Explain your answer.

(b) Which mascot seems to be the winner? Why do you think that?

(c) Using only information from the unbiased survey, approximately what percent of students choose Wildcats for the new mascot?

(d) If there was 800 students in Larry’s school, approximately how many students in the school could he claim would vote for Mustangs? Round to the nearest whole number if necessary.

Answers

I think it is b explanation

Part D
Write an expression for the area of square 5 by combining the areas of the four
triangles and the one square.

IM CONFUSED PLEASE HELP

Answers

Answer:

the area would be 10 i

Step-by-step explanation:

reason being the base is 4 and the height is 5 the answer was right for me

what i has highlighted in the picture is the answer

I dont know how to do this pls help me ​

Answers

Answer:

x = 36

Step-by-step explanation:

x/48 = 48/64

64x = 2304

x = 36

.
Simplify the expression. (–5g5h6)2(g4h2)4




A. 25g26h20

B. –25g26h20

C. 25g15h14

Answers

Answer:

Step-by-step explanation:

(–5g^5 h^6)^2 × (g^4 h^2)^4        the ^ carot symbol means raised to power X

 (25 g^10 h^12) × (g^16 h^8)         exponents raised to powers MULTIPLY

  -5² = 25   g^5² = g^10  h^6² = h^12     do the same thing with   (g^4 h^2)^4

  25 g^(10+16) h^(12+8)                 collecting terms powers ADD

  25 g^26 h^20                         Which letter is the answer?  

                                                  Did you follow my explaination?

                                           

Answer:

B. –25g26h20

Step-by-step explanation:

PLEASE HELP Vance is buying a new car for $23,084. If he is
trading in his old car for $9,567 to go towards
his new car, how much will he need to pay
for his new car?

Answers

Answer:

23,084-9,567= 13,517 so he will have to pay $13,517

Hellooo can someone help me :)

Answers

Step-by-step explanation:

You will need the hypotnuse. to find that use a squared plus b squared is c squared

Draw a line say ab take point c out of it through c draw a line parellel to ab using compass and ruler only

Answers

Answer:

give me brainliest

Given a line AB with Point C outside it.

Mark point D on the line AB. Join CD

With D as center, and any radius, draw an arc intersecting AB at E, and CD at F.

With C as center, and same radius as before, draw an arc intersecting CD at G.

Open a compass to length EF

Now,with G as center, and compass opened the same radius as before, draw an arc intersecting the previous arc at H.

Draw a line m passing through C and H.

Thus m is the line parallel to AB, and passing through point C

∴m∣∣AB

Step-by-step explanation:

For the rhombus below, find the measure of 1, 2, 3, and 4.

Answers

Answer:

Angle 1 is 51, Angle 2 is 51, Angle 3 equal 39, Angle 4 is 51

Step-by-step explanation:

A rhombus diagonals are perpendicular so all the angles in the middle of the rhombus measure is 90 degrees. So this means we are dealing with 4 right congruent triangles.

Since a rhombus is a paralleogram, it opposite sides are parallel. Since there is a line that it cuts through the parallel line, Angle 3 and 39 are alternate interior angles.

Alt. interior angles are congruent so Angle 3=39.

In the upper left triangle, angle 3 ,angle 4, and the middle angle form 180 degrees since it a triangle. The middle angle measure 90 degrees. so we can find angle 4.

[tex]39 + 90 + x = 180[/tex]

[tex]129 + x = 180[/tex]

[tex]x = 51[/tex]

so angle 4=51.

Angle 4 and Angle 1 are alt. interior angles so that means Angle 1 also equal 51.

Rhombus also has angle bisectors to angle 1=angle 2.

Angle 2=51.

Help me please will mark

Answers

Answer:

1. A = 64 cm²

2. A = 240 yd²

3. A = 220.5 cm²

4. A = 193.4 m²

Step-by-step explanation:

1. We want to split this figure into two rectangles. We know the top figure is a rectangle because a rectangle has four right angles. For the bottom rectangle, because the sides are all perpendicular, all of the angles are also right angles.

Because they're rectangles, opposite sides are congruent. So now you can find the measures of the sides.

Refer to the image below for the rest.

Don't forget to add up the two areas for the total area of the whole figure.

2. We want to split this figure into a triangle and a rectangle.

Because the bottom figure has four right angles, we know that it's a rectangle. Therefore, its side measures are 24, 24, 8, and 8 because opposite sides of a rectangle are congruent.

For the triangle, because the sum of the triangle's base and two other segments is 24, we can use 24 - (6 + 6) = base. So the triangle base is 12.

Do this same thing to find the height of the triangle.

Refer to the image below for the rest.

Don't forget to add up the two areas for the total area of the whole figure.

3. We want to split this figure into a triangle and semicircle.

We're already given that the height is 15 and part of the base is 8, but there is no way to assume that the other part of the base is also 8. Remember, it's not to scale.

We know that this is a semicircle because there is a diameter present (a segment that intersects the center of the circle). This means that all radii of the circle are congruent, so the two radii present are both 8.

Because of Reflexive Property, the other part of the triangle base is now proven to also be 8.

Refer to the image below for the rest.

Don't forget to add up the two areas for the total area of the whole figure.

4. We want to split this figure into a rectangle and semicircle.

For the rectangle, because the sides are all perpendicular, all of the angles are also right angles. So we can prove that it is a rectangle.

Because this is a rectangle, opposite sides are congruent. So we have the sides of 15, 7, 15, and 7.

We know that this is a semicircle because there is a diameter present (a segment that intersects the center of the circle). This means that all radii of the circle are congruent.

Because of Reflexive Property, we know that the diameter of the circle is 15. The radius is half the diameter, meaning all radii are 1/2 (15), or 7.5.

Refer to the image below for the rest.

Don't forget to add up the two areas for the total area of the whole figure.

Katy and her sister started watching a cartoon movie at 11:00 A.M. The movie was 2 hours and 15 minutes long. After the movie, they played a card game for 45 minutes and then played soccer in the backyard for 1 hour and 45 minutes. What time was it when Katy and her sister finished playing soccer?

Reward:Brainliest


Include A.M. or P.M. in your answer (for example, 11:58 A.M.).

Answers

15:00PM or 3:00PM they mean the same thing

Answer:

15:00 PM and 3:00 PM ,they mean the same exact thing

Step-by-step explanation:

determine the intercept line of y=-7x+3y=−7x+3

Answers

Answer:

3

Step-by-step explanation:

The slope-intercept form for an equation allows us to quickly identify the intercept of a graph. The general form of slope-intercept is written as:

y = mx + b

Where m is the slope, b is the intercept, and y & x are two data points from the graph.

1. Use the distributive property to write an expression that is equivalent to 12+4x.

Answers

Since 4 and 12 share a common factor of 4, you could write:

4x + 12 = 4 (x + 3)

Also, since 4 and 12 share a common factor of 2, you could write:
4x + 12 = 2 ( 2x + 6)

all expressions equivalent to 6x+1-(3x-1)​

Answers

6x + 1 - (3x-1)
6x +1 - 3x +1
3x +1+1
Answer = 3x + 2


The price of an Item has risen to $108 today. Yesterday it was $80. Find the percentage increase.

Answers

Answer:

74%

Step-by-step explanation:


When you subtract a positive number from a negative number the difference is always
negative.
ex: p-nun
True False

Answers

The answer is true.

(+)(+)= +

(-)(-)= +

(-)(+)= -

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