A group of 15 friends travel to Washington DC. 2/5 go by bus, 1/3 by metro, and the rest by car. What fraction went by car? How many people went by bus? Metro? Car?

Answers

Answer 1

Answer:

14 4/5 went by car.

Answer 2

Out of 15 friends traveling to Washington DC, 6 went by bus, 5 by metro, and 4 by car, making the fraction that went by car 4/15.

To find out how many friends traveled by each mode of transportation to Washington DC and what fraction went by car, we can follow these steps:

Calculate the number of friends that went by bus: 2/5 of 15 = 6 friends.Calculate the number of friends that went by metro: 1/3 of 15 = 5 friends. (Note that fractions of people aren't possible in real life, so we would have to adjust these numbers; for example, maybe 5 went by metro and 6 went by bus, or vice versa.)For the rest by car, subtract the number of friends who went by bus and metro from the total: 15 - 6 - 5 = 4 friends.

So, the fraction that went by car is 4/15.

Summary of transportation mode:

Bus: 6 peopleMetro: 5 peopleCar: 4 people

Related Questions

16,48, 144, ...
Find the 6th term.

Answers

Answer:

3,888

Step-by-step explanation:

3•16=48

48•3=144

144•3=432

432•3=1,296

1,296•33,888

Answer:

3, 888

Step-by-step explanation:

Just multiply by 3 to get the next number

or

Nth term = 16 × (3^N-1)

What is 87+x=100?
A. 13
B.41
C. 11
D. 20

Answers

Hey there!

When we solve for x, we need to isolate x on one side.

This is just a one-step equation, meaning there is only one thing we need to do to solve for x, or isolate x.

Starting with 87 + x = 100:

Subtract 87 from each side.

87 - 87 + x = 100 - 87

Simplify. Subtracting 87 from 87 makes it equal to 0.

x = 13

Your answer is A. 13.

Hope this helps!

Hello!

The answer to the problem is A) 13

Move all terms containing x to the left, all other terms to the right.

Add '-87' to each side of the equation

[tex]87 + -87 + x = 100 + -87[/tex]

Combine like terms: 87 + -87 = 0

[tex]0 + x = 100 + -87[/tex]

[tex]x = 100 + -87[/tex]

Get your answer

[tex]x=13[/tex]

Hope This Helps!

what is the slope of the line y=3

Answers

Answer:

0

Step-by-step explanation:

The line y=3 has a zero slope (lays horizontal).

Answer:

Step-by-step explanation:

y=3 is parallel to x axis.

x axis and any line parallel to x axis has slope=0

Help!!! What translation is made from f(x) = x to f(x)= 0.2 (x+3)
A: clockwise rotation and translation 3 units to the left
B: clockwise rotation and translation 3 units to the right
C: counter-clockwise rotation and translation: 3 units to the right.
D:counter-clockwise rotation and translation 3 units up.

Answers

Answer: A

Step-by-step explanation: when you add +3 you move 3 units left on the x axis and when its -3 it would be right.. hope it helps please give brainliest! but the best answer is A the others are not right

Clockwise rotation and translation 3 units to the left.

What is Translation?Translation is a rigid transformation that the function shift to upwards or downwards.

Given that the function f(x) = x translates to f(x) = 0.2 (x+3)

When we add 3 units to x, then the graph x shift left by 3 units.

By dilation, the graph will rotate clockwise.

Hence, the function f(x) = x translates to f(x) = x, clockwise rotation and translation 3 units to the left.

Learn more about translation here:

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A serial killer is stalking the residents of Gloomy Falls, Mass. Where the population is 937. Every year the population decreases by 4.5%. How many residents will be left after the killer's three-year rampage? How would you stop him?

Answers

Final answer:

The population of Gloomy Falls will decrease to approximately 816 residents after three years, due to a yearly decline of 4.5%.

Explanation:

The problem posed involves calculating the decreasing population of a town under a hypothetical scenario. Given that Gloomy Falls has a starting population of 937, and it decreases by 4.5% annually, we need to apply this percentage decrease over a three-year period. The formula to calculate the population after each year is: Population after n years = Initial population × (1 - rate of decrease)n, where n is the number of years.

So we calculate the population as follows:

Year 1: 937 × (1 - 0.045) = 937 × 0.955 = 894.865Year 2: 894.865 × 0.955 = 854.695Year 3: 854.695 × 0.955 = 816.233

After rounding, we can estimate that approximately 816 residents will be left after three years. This is purely a mathematical exercise and the scenario of a serial killer is just for illustrative purposes.

pls help! will give brainlist!

find the volume of the figure above in cubic centimeters.

A. 23 cm³
B. 144 cm³
C. 288 cm³
D. 44 cm³

Answers

Answer:

144cm^3

Step-by-step explanation:

[tex]V=1/2bh\\V=1/2(8*3)(12)\\V=1/2(24)(12)\\V=12(12)\\V=144[/tex]

b+ 1/3(-b+a)
How to simplify?

Answers

Answer:

2/3 b +1/3 a

Step-by-step explanation:

b+ 1/3(-b+a)

= b - 1/3b + 1/3a

= 2/3 b +1/3 a

I hope this was helpful, please mark as brainliest

Each statement describes a transformation of the graph of y-in x. Which statement correctly describes the graph of y-In(x - 7) + 3?

A.
It is the graph of y-In x translated 3 units up and 7 units to the left.

B.
It is the graph of y=in x translated 7 units down and 3 units to the right.

C.
It is the graph of y=In x translated 7 units up and 3 units to the right.

D.
It is the graph of y= In x translated 3 units up and 7 units to the right.

Answers

C it is the graph of y=in x translated 7 units up 3 units to the right

Answer:

It is the graph of F translated 3 units up and 7 units to the right

Step-by-step explanation:

this is for PLATO users

what is the answer to 2 3/4 ÷ 1 5/8

Answers

1. make the fractions improper so
2 3/4 = 11/4
1 5/8 =13/8
11/4 divided by 13/8
2. keep change flip
11/4 x 8/14
3. find gcf
4. solve
it equals 22/13 or 1 9/13

What are the advantages of using percentages to represent ratio

Answers

The advantages of using percentages are that they all are to the same scale (1/100) making it easier to work with compared to fractions, they can be converted to decimals very quickly, and percentages can be used to show change in a number (20% of 50 : 50% of 10), telling you what the original number is. (10:5 or 2:1 doesn’t give you the starting numbers).

Hope this helps!

The advantages of using percentages are that they all are on the same scale (1/100) making it easier to work with compared to ratios.

We need to write the advantages of using percentages to represent the ratio.

What is the percentage?

The percentage is a fraction or a ratio in which the value of the whole is always 100.

The percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Ratio: The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity. Ratios can be classified into two types. One is part to part ratio and the other is part to whole ratio.

The advantages of using percentages are that they all are to the same scale (1/100) making it easier to work with compared to ratios, they can be converted to decimals very quickly, and percentages can be used to show the change in a number (20% of 50: 50% of 10), telling you what the original number is (10:5 or 2:1 doesn’t give you the starting numbers).

Therefore, the advantages of using percentages are that they all are on the same scale (1/100) making it easier to work with compared to ratios.

To learn more about percentages visit:

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2 Points
Identify an equation in slope-intercept form for the line parallel to y=-3x + 7
that passes through (2,-4).

Answers

Answer:

y = -3x + 2

Step-by-step explanation:

Parallel means same slope which is -3

Step 1:  Use point slope form

(y - y1) = m(x - x1)

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

y + 4 - 4 = -3x + 6 - 4

y = -3x + 2

Answer:  y = -3x + 2

Sally has 56 apples and she wants to share for her 14 friends. How? Explain

Answers

Answer:

4 apples per friend

Step-by-step explanation:

Step 1:  Find how much she can share for each friend

56 / 14

4 apples per friend

Answer: 4 apples per friend

To find how many apples each friend gets, we can divide.

56 / 14 = 4 apples per friend.

Best of Luck!

Circle A is congruent to circle J. Chords BC, CF, EG, KL, LO, and MP are congruent.


Circles A and J are congruent. Chords B C, C F, E G, K L, L O, and M P are congruent.


Which arcs are congruent? Check all that apply.


Arc B C ≅ Arc M P

Arc B C ≅ Arc M O

Arc C F ≅ Arc K P

Arc E G ≅ Arc K L

Arc L O ≅ Arc M P

Answers

Answer:

its 1,4,5 i just did the test

Step-by-step explanation: //

Answer:

1,4,5

Step-by-step explanation:

Please answer both questions
1. A floor plan of a house was drawn using a scale of 1 cm = 1.5 m. The family room in the plan is pictured as 5 cm by 4 cm. What is the area, in square meters, of the actual family room. (please see picture below)

A: 20
B: 27
C: 30
D: 45


2. Liz chose C as the correct answer. How did she get that answer?

Answer in complete sentences.

Answers

Answer:

D. 45

Step-by-step explanation:

1. The solution to the question above is answered in the attached picture.

2. Liz is wrong for choosing option C as answer. Liz actually performed this operation to get 30: 1.5 × 5 × 4 = 30.

the end of the year, after taxes, a manufacturing firm has $230,000 in revenues, $90,000 in production costs, and $140,000 in opportunity costs. How much economic profit did the firm make?​

Answers

Answer: 50

Step-by-step explanation:

Final answer:

The firm's economic profit is calculated by subtracting both explicit and implicit costs from the total revenues. Upon performing this calculation, we determine that the firm made an economic profit of $0 since the costs equaled the revenues.

Explanation:

To calculate the economic profit of the firm, we subtract both explicit (actual monetary payments) and implicit (opportunity) costs from the total revenues. The firm has $230,000 in revenues after taxes, $90,000 in production costs (explicit costs), and $140,000 in opportunity costs (implicit costs). Therefore, the calculation for economic profit is as follows:

Total Revenues - Explicit Costs - Implicit Costs = Economic Profit

$230,000 - $90,000 - $140,000 = $0

So, the firm did not make any economic profit, as the explicit and implicit costs equaled the total revenues.


y = 3x
5x + 2y = 44

Answers

Answer:

x=4

Step-by-step explanation:

since Y is 3x, then substitute the y with 3x which is 2*3x=5x and then plus the 5x which is 11x in total which equals to 44 (11x=44) then divide that you get: x=11.

Answer:

x=4

Step-by-step explanation:

substitute the value of y

5x+2(3x)=44

5x+6x=44

11x=44

divide both sides by 11

x=4

The equation A=0.05bh gives the area of a triangle, where b is the length of the base and h is the height. Solve this equation for h.

Answers

Answer:

You would divide both sides by 0.05b, so that you would get h = A/0.05b

Step-by-step explanation:

SInce you are trying to isolate the variable, and the variable is being multiplied by 0.05b, you would simply do the opposite, or divide, in order to get h by itself.

Answer:

A=0.05bh  we divide both sides by "h"

A/h = .05b then we multiply both sides by 20

(20 A) / h = b

Step-by-step explanation:

Nathan bought a pair of boots
for $80 and 2 shirts for $20
each. The sales tax is 7.5%.
How much did Nathan pay for
all the items, including tax?
Justify your reasoning.


NEED HELP FOR HOMEWORK WILL MARK BRAINLEST:)​

Answers

Answer:

$129

Step-by-step explanation:

80 + 2(20) = 80 + 40 = 120

With tax: 100 + 7.5 = 107.5%

107.5/100 × 120

129

Answer:

129

Step-by-step explanation:

First find the cost for how much was purchased

boots: 80

2 shirts: 2*20 = 40

80+40 = 120

The tax is the cost times the tax rate

tax = 120 * 7.5%

      = 120 * .075

       9

The total cost is the cot plus the tax

total cost = 120+9

                 =129

Josie and her brother, Sean both have a job after school. For every $5.50 that Josie earns, her brother earns $6.50. On Tuesday, they earned $30.00. How much money did Josie earn? How much did her brother earn?

Answers

Answer:

The amount earned by Josie was $13.75 and the amount earned by her brother was $16.25

Step-by-step explanation:

Let

x ----> amount earned by Josie

y ---> amount earned by her brother

we know that

[tex]\frac{x}{y}=\frac{5.50}{6.50}[/tex]

[tex]x=\frac{5.50}{6.50}y[/tex] ------> equation A

[tex]x+y=30.00[/tex] -----> equation B

Solve the system by substitution

Substitute equation A in equation B

[tex]\frac{5.50}{6.50}y+y=30.00[/tex]

solve for y

[tex]\frac{12.00}{6.50}y=30.00[/tex]

[tex]y=6.50(30.00)/12.00\\y=\$16.25[/tex]

Find the value of x

[tex]x=\frac{5.50}{6.50}(16.25)\\\\x=\$13.75[/tex]

therefore

The amount earned by Josie was $13.75 and the amount earned by her brother was $16.25

Answer:

Step-by-step explanation:

Given that For every $5.50 that Josie earns, her brother earns $6.50.

Tuesday, they earned $30.00

Using the ratio and the proportional

Josie : Sean : Total

 5.5  :   6.5   :  12

  x    :     y     :  30

So, x = 5.5 * 30/12 = 13.75

And y = 6.5 *30/12 = 16.25

So, Josie will earn $13.75  and her brother Sean will earn $16.25

Read more on Brainly.com - https://brainly.com/question/15005667#readmore

heehee please help meehee

Answers

Option B

[tex]3 x\sqrt{2} x[/tex] is the choice equivalent to [tex]\sqrt{6} x^{2} \cdot \sqrt{3} x[/tex]

Solution:

Step 1:

When we multiply two roots i.e. [tex]\sqrt{6} x^{2}[/tex] and [tex]\sqrt{3} x[/tex] the values are multiplied and still kept inside the root.

So [tex]\sqrt{6} x^{2}[/tex] × [tex]\sqrt{3} x[/tex] = [tex]\sqrt{6} x^{2} \times 3 x[/tex].

Step 2:

We then multiply the values in the root.

[tex]\sqrt{6} x^{2} \times 3 x[/tex] = [tex]\sqrt{18 x^{3}}[/tex]

Step 3;

We take the values out of the root by splitting up the value.

[tex]{18 x^{3}}[/tex] = [tex](9 \times 2)\left(x^{2} \times x\right)[/tex]

[tex]\sqrt{9}=3[/tex] and [tex]\sqrt{x^{2}}=x[/tex]

So [tex]\sqrt{18 x^{3}}[/tex] = [tex]\sqrt{9} \times 2 \times x^{2} \times x[/tex]

When we take values out of the root, we replace it with the square-rooted value on the outside.

[tex]\sqrt{18 x^{3}}[/tex] = [tex]3 x \sqrt{2 x}[/tex].

Thus option B is correct

What are possible values of x and y, if
[tex]2 \sqrt[3]{3xy} = - 4 \sqrt[3]{18} [/tex]

Answers

Answer:

y = -48/x . . . . . infinite possibilitiesfor integer solutions, see below

Step-by-step explanation:

The equation can be put into more conventional form:

  [tex]2\sqrt[3]{3xy}=-4\sqrt[3]{18} \qquad\text{given}\\\\\sqrt[3]{3xy}=-2\sqrt[3]{18} \qquad\text{divide by 2}\\\\3xy=-8\cdot 18 \qquad\text{cube both sides}\\\\y=\dfrac{-48}{x} \qquad\text{divide by $3x$}[/tex]

This shows an inverse relationship between x and y. No specific values are indicated. There are an infinite number of possible pairs of values for x and y.

__

Possible integer values are ...

  (x, y) ∈ {(-1, 48), (-2, 24), (-3, 16), (-4, 12), (-6, 8), (-8, 6), (-12, 4), (-16, 3), (-24, 2), (-48, 1), (1, -48), (2, -24), (3, -16), (4, -12), (6, -8), (8, -6), (12, -4), (16, -3), (24, -2), (48, -1)}

Match the following pair of angles with their respective definitions.HELP

Answers

Answer:

Step-by-step explanation:

3 and 7 - corresponding

2 and 7 - alt exterior

4 and 5 - alt interior

3 and 6 - alt interior

Answer:

3 and 7 are Corresponding Angles

2 and 7 are Alternate Exterior Angles

4 and 5 are Alternate Interior Angles

3 and 6 are Alternate Interior Angles

Step-by-step explanation

3 and 7 are in the same place as each other. 2 and 7 are alternate and on the outside (not in between the 2 horizontal lines) leaving the other 2 which are alternate and on the inside.

Does 36x+24=12(x+2+2x) , have no solution, one solution, many solutions?

Answers

Answer:

No solution

Step-by-step explanation:

Answer:

36x+24=12(3x+2)

36x+24=12*3x+12*2

36x+24=36x+24

36x-36x=24-24

0=0

Have many solutions is the answer

Step-by-step explanation:

In every way I choose the  value of x this equation is true

Anyone knows how to find x for number #7 & #8 ?

Answers

Answer:

7) 80 degrees

8) x = 73 and the angle(KEF) = 147

Step-by-step explanation:

360 - 160 = 200

200 - 53 = 147

2x+1=147

x = 73

https://lh5.googleusercontent.com/BTB8IVPp1M9ftWYrmUv4V29JTOIu-fUaQRDbERGKuRvHwen-iiK29m3v1rhGvp6kX40Rv0TBORmiPdtdKLoAv9vuG5Hp5Zyxagl7seoinGhvF_GybYwC6CUpHVb5=w621

Answers

Answer:

it won't let me see the link

Answer:

Option H, 1.428 * 10^-3

Step-by-step explanation:

Step 1:  Convert 0.001429 into scientific notation

To have the number in scientific, you need to have to have a number then the decimal point then the rest of the numbers.

0.001429

1.429

Next, you need to find out what you multiply 1.429 to get 0.001429

1.429 * 0.001

1.428 * 10^-3

Answer:  Option H, 1.428 * 10^-3

A town has a population of 14000 and grows at 5% every year. What will be the population after 14 years, to the nearest whole number?

Answers

Using the exponential growth formula, the town's population of 14,000 growing at a rate of 5% per year will reach 27,706 after 14 years.

To calculate the future population of a town with a given growth rate, we use the formula for exponential growth, which is:

[tex]P_{t} = P_0 (1 + r)^t[/tex]

Given a town with an initial population (P0) of 14,000 and a growth rate (r) of 5% or 0.05, want to find the population after 14 years (t).

Plugging in the values into the formula:

P(14) = 14,000 × (1 + 0.05)¹⁴

P(14) = 14,000  (1.05)¹⁴

P(14) = 14,000 1.9791

P(14) = 27,706.24

To the nearest whole number, the population after 14 years will be 27,706.

On the first four​ exams, Steve's grades are 70​, 76​, 88​, and 92. There is still one more exam and he is hoping to earn a B in the course. This will occur if the average of his first five exam grades is greater than or equal to 80 and less than 90. What range of grades on the fifth exam will result in earning a​ B?
The range of grades on the fifth exam that results in earning a B is ___? If the highest grade is​ 100, then
_____.

Answers

Final answer:

The range of grades on the fifth exam that will result in Steve earning a B in the course is 74 to 100 inclusive, as he needs at least a 74 to bring his average up to 80, and any score above 100 is not possible.

Explanation:

To calculate the range of grades on the fifth exam that will ensure Steve earns a B in the course, we need to determine what final score on the fifth exam will result in an average between 80 and 90 for all five exams.

Let's first add up the scores from Steve's first four exams:

70 + 76 + 88 + 92 = 326

To achieve an average of at least 80, the total sum of all five exam grades must be at least 400 (because 80 is the minimum average for a B, and 80 times 5 exams equals 400). So, the minimum score Steve needs on the fifth exam is:

400 - 326 = 74

Steve needs at least a 74 on the fifth exam to achieve an average of 80. If we want to ensure the average does not reach 90, the total sum of all five exam grades must be less than 450 (because 90 times 5 exams equals 450). The highest score Steve can get on the fifth exam and still remain in the B range is:

450 - 326 = 124

However, since Steve cannot score more than 100 on the fifth exam, the maximum score remains capped at 100.

Therefore, the range of grades on the fifth exam that will result in earning a B is 74 to 100 inclusive.

Train A can travel a distance of 600 miles in 8 hours. Assuming the train travels at a constant rate, write the linear equation that represents the situation

Answers

Answer:

y = 75x

Step-by-step explanation:

If the train travels 600 miles in 8 hours, 600/8 gives us the hourly rate.  600/8 = 75 mph

Therefore, y = 75x

Answer:  y = 75x

Answer:

Step-by-step explanation

(distance) = (rate) times ( time)

d=r times t

d= distance in miles

r= rate in mi/hr.

t=time in hours

r = 600/8

r = 75t

What is the perimeter of the rectangle?

22 centimeters
24 centimeters
26 centimeters
28 centimeters

Answers

Answer:

The answer is 24 centimeters or option(B)

Step-by-step explanation:

Answer:

  The correct answer is B. 24 cm.

Step-by-step explanation:

hope this helps, and have a nice day! :)

Use the rules of exponents to evaluate or simplity. Write without negative exponent.
y^-5/y^-2

Answers

Answer:

Step-by-step explanation:

Answer:1/y^3

Step-by-step explanation:

y^(-5)/y^(-2)

(1/y^5)/(1/y^2)

(1/y^5)x(y^2/1)

(1 x y^2)/(1 x y^5)

(y^2)/(y^5)

(yxy)/(yxyxyxyxy)

1/y^3

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