A cyclist rides at a constant speed, traveling 30 miles in 1.5 hours. Write a proportion that gives the number x of miles the cyclist rides in 4 hours

Answers

Answer 1

Answer:

We can write proportion as:

[tex]\frac{\mathbf{30\:miles}}{1.5\:hours}=\mathbf{\frac{x\:miles}{4\:hours}}[/tex]

Step-by-step explanation:

A cyclist rides at a constant speed, traveling 30 miles in 1.5 hours. Write a proportion that gives the number x of miles the cyclist rides in 4 hours

Proportion:

A proportion is used when two ratios are equal. It can be written as a/b=c/d

In our case we have:

a= 30 miles

b = 1.5 hours

c = x miles

d = 4 hours

We can write proportion as:

[tex]\frac{\mathbf{30\:miles}}{1.5\:hours}=\mathbf{\frac{x\:miles}{4\:hours}}[/tex]

Related Questions

A manufacturer of cell phone screens has found that 5 percent of all screens produced have defects. Let pd represent the population proportion of all cell phone screens with a screen defect, therefore pd=0.05. For the sampling distribution of the sample proportion of cell phone screens from this manufacturer with a screen defect for sample size 400, μpˆd=0.05. Which of the following is the best interpretation of μpˆd=0.05 ?

For a randomly selected cell phone screen from this population, the mean number of screen defects for the selected screen will be equal to 0.05.

For a randomly selected cell phone screen from this population, the mean number of screen defects for the selected screen will be equal to 0.05.
A

For every sample of size 400 from this population, the proportion of cell phone screens with a screen defect will be 0.05.

For every sample of size 400 from this population, the proportion of cell phone screens with a screen defect will be 0.05.
B

For all samples of size 400 from this population, the mean number of screen defects for the samples is 0.05.

For all samples of size 400 from this population, the mean number of screen defects for the samples is 0.05.
C

For all samples of size 400 from this population, the mean of all resulting sample proportions of cell phone screens with a screen defect is 0.05.

For all samples of size 400 from this population, the mean of all resulting sample proportions of cell phone screens with a screen defect is 0.05.
D

For all samples of size 400 from this population, the standard deviation of all resulting sample proportions of cell phone screens with a screen defect is 0.05.

Answers

Answer:

For all samples of size 400 from this population, the mean of all resulting sample proportions of cell phone screens with a screen defect is 0.05.

Step-by-step explanation:

College Board

Using the Central Limit Theorem, it is found that the correct option is:

C For all samples of size 400 from this population, the mean of all resulting sample proportions of cell phone screens with a screen defect is 0.05.

By the Central Limit Theorem, for a proportion p in a sample of size n, the mean of the sampling distribution of sample proportions is [tex]\mu = p[/tex], while the standard error is [tex]s = \sqrt{\frac{p(1 - p)}{n}}[/tex

In this problem, the mean of the sampling distribution of sample proportions is 0.05, that is, the mean proportion of all samples, hence, the correct option is C.

A similar problem is given at https://brainly.com/question/16257233

A building is 720 feet tall. The scale model of that building is 18 inches tall.
Find the scale factor of the model to the actual building

Answers

Answer:

720ft= 8640in => 18/8640 =0.002083 = 2083/1000000

Step-by-step explanation:

What is the correct answer?

Answers

Answer:

Step-by-step explanation:

They would charge a flat fee of $1000, and $200 per room

A baseball team played 75 games and lost 20% of them. How many games did the team lose?
015
20
O 55
O 60

Answers

Answer:

Step-by-step explanation:

20% is 1/5

75*1/5=75/5=15

PLZ HELP!!!!!!! (20 points)

Which of the sets of ordered pairs represents a function? (4 points)

A = {(−4, 5), (1, −1), (2, −2), (2, 3)}
B = {(2, 2), (3, −2), (9, 3), (9, −3)}

Group of answer choices

Only A

Only B

Both A and B

Neither A nor B

Answers

Answer:

Neither A nor B

Step-by-step explanation:

The set of pairs, where the front member of every sequence pair must be unique.

Need help thanks .....

Answers

d. 5/2! keep in mind that a perpendicular slope is an opposite reciprocal (change the sign and flip the fraction)

What is the value of x in the solution to the this system of equations:
y=-1/2x + 2
y - 2x = -3

Answers

Answer:

x=2 and y=1

Step-by-step explanation:

hope this helps!

Answer:

x = 2

Step-by-step explanation:

For system of equations, you need to equal them to each other. First, you need to isolate y on one side of the equation in [tex]y - 2x = -3[/tex]

[tex]y = -3 + 2x[/tex]

Now, equal the equations to each other:

[tex]-\frac{1}{2}x + 2 = -3 + 2x[/tex]

Add [tex]\frac{1}{2} x[/tex] to both sides of the equation:

[tex]2 = -3 + (2x + \frac{1}{2}x) = -3 + (\frac{4}{2}x + \frac{1}{2}x) = -3 + \frac{5}{2} x[/tex]

Subtract add 3 to both sides of the equation:

[tex]5 = \frac{5}{2}x[/tex]

Divide [tex]\frac{5}{2}[/tex] on both sides of the equation. Remember: when you divide a fraction, you multiply by the reciprocal. See below:

[tex]\frac{2}{5} * 5 = x[/tex]

[tex]\frac{10}{5} = x[/tex]

[tex]x = 2[/tex]

Check your work:

[tex]-\frac{1}{2}(2) + 2 = -3 + 2(2)[/tex]

-1 = -1

Can someone actually help with this not traditional reference angle question please I will give lots of points and will make you Brainliest

Answers

Answer:

Step-by-step explanation:

β ∈ { 0° , 18° , 180° , 198° }

what single decimal multiplier would you use to increase by 14% followed by a 1% decrease?

Answers

Answer:

1.1286

Step-by-step explanation:

Increasing something by 14% is the same as taking 114% of it, and decreasing it by 1% is the same as taking 99% of it. 114% is 1.14 as a decimal, and 99% is 0.99 as a decimal, so multiplying the two together, we get the single decimal

1.14 · 0.99 = 1.1286

12.86% or a multiplier of 1.1286.

Assume the number 100.

100(1.14)=114
114(0.99)=112.86

Solve this equation:
3x - 5x + 8 - 3x = -5X -8

Answers

3x-5x+8-3x=-5x-8

3x+ -5x+8+ -3x=-5x+ -8

(3x+ -5x+ -3x)+ (8)=-5x-8

-5x+8= -5x - 8

-5x+8+5x= -5x - 8+5x

8=-8

8-8= -8 - 8

0= -16

Consider angle θ in Quadrant ll, where cos θ= -12/13. what's the value of sin θ

Answers

Answer:

5/13

Step-by-step explanation:

According to SOH CAH TOA

cos theta = adj/hyp = -12/13

Get the opposite using pythagoras theorem

13^2 = (-12)^2 + opp^2

169 = 144 + opp^2

opp^2 = 169-144

opp^2 = 25

opp = 5

Get sin θ

sin θ = opp/hyp

sin θ = 5/13

hence the value of sin θ is 5/13

what is the solution to the equation? 2x−4=6

Answers

X= 5, because you will add +4 to both sides, 2x=10, and then you will divide /2 to both sides, which will give you x=5

Line AB contains points A (0,0) and B (2, 2). Line CD contains points C (3, 1) and D (5,3).
Lines AB and CD are (5 points)
O parallel
O perpendicular
O neither

Answers

I think they would be parallel, because if you put points A,B,C,D into Desmos they come up to look parallel. hope this helps :)

Y'all someone pls help me :(

Answers

Answer:

Yes, the table does show a function. First, just by seeing that the y values are the same, this means that this is a perfectly horizontal line. Horizontal lines are functions, but vertical lines aren't. I suppose the ordered pairs are just (-2,5), (0,5), and (3,5)

i need help plz!?????

Answers

Answer:

Step-by-step explanation:

Answer:

3/5

Step-by-step explanation:

you are looking for the X-Y so X go first

pls help!
and a reason.

Answers

Answer:

[tex]\angle BDA = 72^{\circ}[/tex]

[tex]\angle DAB = 36^{\circ}[/tex]

[tex]\angle BDC = 108^{\circ}[/tex]

[tex]\angle BCD = 36^{\circ}[/tex]

[tex]\angle DBC = 36^{\circ}[/tex]

Step-by-step explanation:

Given

[tex]\angle ABD = 72^{\circ}[/tex]

Required

Determine the missing angles

Since AB = AD, then:

[tex]\angle ABD = \angle BDA[/tex] --- Base angles of an isosceles triangle

Hence:

[tex]\angle ABD = \angle BDA = 72^{\circ}[/tex]

[tex]\angle ABD + \angle BDA + \angle DAB = 180^{\circ}[/tex] --- angles in a triangle

[tex]72^{\circ} + 72^{\circ} + \angle DAB = 180^{\circ}[/tex]

[tex]144^{\circ} + \angle DAB = 180^{\circ}[/tex]

Collect Like Terms

[tex]\angle DAB = 180^{\circ} - 144^{\circ}[/tex]

[tex]\angle DAB = 36^{\circ}[/tex]

[tex]\angle BDA + \angle BDC = 180^{\circ}[/tex] --- angle on a straight line

[tex]72^{\circ} + \angle BDC = 180^{\circ}[/tex]

[tex]\angle BDC = 180^{\circ} - 72^{\circ}[/tex]

[tex]\angle BDC = 108^{\circ}[/tex]

Since ABC is isosceles, then:

[tex]\angle DAB = \angle BCD = 36^{\circ}[/tex] --- base angle of isosceles

[tex]\angle BCD = 36^{\circ}[/tex]

Lastly:

[tex]\angle BCD + \angle BDC + \angle DBC = 180^{\circ}[/tex]

[tex]36^{\circ} + 108^{\circ} + \angle DBC = 180^{\circ}[/tex]

[tex]\angle DBC = 180^{\circ} - 36^{\circ} - 108^{\circ}[/tex]

[tex]\angle DBC = 36^{\circ}[/tex]

See attachment

HELP WORTH 50 POINTS ILL GIVE U BRAINLESS IF UR RIGHT

5.1 x 10^-3 – 1.8 x 10^-3
in scientific notation (evaluate)

Answers

Answer:

[tex]3.3*10^{-3}[/tex]

Just like last time, you can convert them to their decimal forms, subtract, and convert back!

Hope this helps!

Brainliest please!

Answer:

3.3*10-3

Step-by-step explanation:

Round 453,605 to the nearest thousand

Answers

Answer:

453,000

Step-by-step explanation:

Plz plz I need help plz plz really fast plz plz I will cry if u help me giving 25points

Answers

Answer:

[tex]\frac{1}{3}[/tex]

Step-by-step explanation:

Write an equation for the n th term of the arithmetic sequence 23, 16, 9, 2, ... . Then find a 25

Answers

Answer:

yes u got it right

Step-by-step explanation:

There are 82 students going on a field trip. The principal rents
vans, which can each seat II students.

Answers

Step-by-step explanation:

2 divided by 82 equals 41

you would need 8 vans if each van seats 12 students

find the value of x in each of the given triangles.

Answers

Answer:

7.5

Step-by-step explanation:

10x + 8x + 6x = 180°

24x = 180°

x = 180°÷24

× = 7.5

HOPE IT HELPS YOU.

Simplify the expression:

(3p − 5)(–6) =

Answers

Answer:

− 18 p + 30

Step-by-step explanation:

A map has a scale of 5cm: 12km. If the two cities are 17cm apart on the map what is the actual distance between the cities, to the nearest tenth of a kilometer?

Answers

Answer:

40.8

Step-by-step explanation:

17cm=17/5x5cm

17/5x12=40 4/5=40.8

Answer:40.8 km

Step-by-step explanation: pretty sure, if it’s wrong I’m sorry

can someone help:( if c=5, what is the value of 12-c?
A 5
B 7
D 17
C 60

Answers

I belive that it’s b
So the answer would be 7

Answer:

The answer is b

Step-by-step explanation:

here you go mate'

step 1

12-c equation

step 2

12-(5) insert 5 to the equation

step 3

12+(-5) subtract the numbers

answer

mind if i get brainliest?

Write equations for the vertical and horizontal lines passing through the point (-9,-4).

Answers

Answer:

for a vertical line the value of x, in this case 9, will never change. this will be true for any value of y. therefore the equction for vertical line line passing through this point is; x=9 likewise, for a horizontal line the value of y, in this case -4 will never change. this will be true for any value of x. therefore the equation for a horizontal line passing through this points is; y=-4

Step-by-step explanation:

hope this helpful and you welcome!

tell me if you have anything to help you with.

Please help on this answer

Answers

Answer:

Step-by-step explanation:

5^2 + 12^2 = x^2

25 + 144 = x^2

169 = x^2

13 = x

answer is C

Answer:

Step-by-step explanation:

A scale of the Golden Gate Bridge in San Francisco Bay has

a main span that is 20 inches long. If the main span of the

bridge is 4200 feet long, what is the scale of the model?

Answer: 2520ft

Answers

Answer:

2520ft

Step-by-step explanation:

Calculation for what is the scale of the model?

Let x will be the span length

Hence,

x= 4200 feet long/20 inches long

x=210

Thus:

1 inch = 210 ft

1 ft = 2520

=2520ft

Therefore the scale of the model will be 2520ft

Item 3
Question 1
Solve a/−5 > 1. Graph the solution.

Answers

Answer:

: x < 6

Step-by-step explanation:

help plz it's not dark blue

Answers

Answer:

YELLOW

Step-by-step explanation:

MY TEACHER MADE ME DO THIS LOL

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