Two cyclists are 7 miles apart when they begin biking away from each other in opposite directions. The speed of the first cyclist is 12 miles per hour. The speed of the second cyclist is b miles per hour greater than the speed of the first cyclist.

How many miles does the second cyclist bike in 45 minutes?

Answers

Answer 1

9514 1404 393

Answer:

  9 +3/4b

Step-by-step explanation:

The speed of the second cyclist is b more than 12 miles per hour, so is ...

  2nd cyclist speed = b + 12

The time of interest is 45 minutes = (45/60) hours = 3/4 hours.

The distance the second cyclist travels in 3/4 hour is ...

  distance = speed × time

  distance = (b +12)(3/4)

  distance = 3/4b +9 . . . miles


Related Questions

Plz help me, I am terrible in math

Answers

Answer: it is either C or D

Step-by-step explanation:but  It looks like its D

If f(x) = (2x + 1)2 – 3 and g(x) = 2(2x2 + 3), which statement is true?
A. f(-5) = g(4)
B. f(3) = g(0)
C. f(1) = g(1)
D. f(-3) = g(-2)

Answers

Answer:

d

Step-by-step explanation:

becasuse when you  multiply all that stuff since x is the is y fancy way o f saying

From the calculations, we can see that the true statement is  f(-3) = g(-2): Option D is correct.

Given the following functions

f(x) = (2x + 1)²– 3 and g(x) = 2(2x² + 3),

According to the last option.

f(-3) = (2(-3) + 1)²– 3

f(-3) = (-6+1)² - 3

f(-3) = (-5)² - 3

f(-3) = 25 - 3

f(-3) = 22

For g(-2)

g(-2) = 2(2x² + 3),

g(-2) = 2(2(-2)² +3)

g(-2) = 2(8+3)

g(-2) = 2(11)

g(-2) = 22

Hence from the calculations, we can see that the true statement is  f(-3) = g(-2)

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Students plan to pay back half the debt now though fundraising, and the rest after the harvest. Write an equation to represent the debt they will repay through fundraising. Use a negative integer to show debt. Use "D" to represent the debt that will be repaid by through fundraising.

Answers

Answer:

D =  [tex]\frac{-d}{-2}[/tex]

Step-by-step explanation:

The students in this question are trying to pay back only half of the current debt (d) with the fundraiser (D). Since debt is money that is owed it would therefore be represented as a negative but in this case the fundraiser needs to be positive since it is money gained. So since we have a negative we would need to divide by -2  in order for the total to be positive.

D =  [tex]\frac{-d}{-2}[/tex]

Finally, we are left with this equation which shows the debt that will be repaid through the fundraiser

A recipe says to use 2 cups of chocolate chips to make 36 cookies. What is the constant of proportionality that relates the number of cookies made, y, to the number of cups of chocolate chips used, x?

Answers

1 cup of chocolate chips equals 18 cookies and 2 cups equals 36 and 3 cups equals 54

It's easy I'm just not I'm my head rn can someone help?
This is a career explorations question, not math btw!!

Event planners may be responsible for which of the following? Select all that apply.

A: a sporting arena's fan night

B: a birthday party

C: a wedding

D: a Black Friday sale

Answers

B and C for sure maybe A. Def not D

How to solve 2-step equations

Answers

Answer/Step-by-step explanation:

1) First, add or subtract both sides of the linear equation by the same number.

2) Secondly, multiply or divide both sides of the linear equation by the same number.

3)* Instead of step #2, always multiply both sides of the equation by the reciprocal of the coefficient of the variable.

question attached above ​

Answers

Answer:

23*

Step-by-step explanation:

Answer:

23

Step-by-step explanation:

helpp ill mark u as brain list​

Answers

Answer:

the second one

-1 -2

3 0

5 1

7 2

(Geometry) Please help! 50 points

Answers

Answer:

A) similar; SSS similarity

Step-by-step explanation:

You have to find the proportion by dividing each side to the according side

35/14 = 2.5  -  S/D

20/8 = 2.5  -  R/E

30/12 = 2.5  - Q/F

Answer:

A B AND C

Step-by-step explanation:

The answers are

abc

X+y=8
Y=3x

Solve with substitution

Correct answer gets Brainliest!!

Answers

Answer:

x=2, y = 6

Step-by-step explanation:

We see that y = 3x so we can substitute the y in x + y = 8.

x + 3x = 8.

Combine like numbers:

4x = 8.

Divide both sides by 4.

x = 2

Now plug in x to find y

2 + y = 8

Subtract 2 from both sides.

y = 6

Lisa's school requires each student to earn 75 hours of community service each year. Lisa has
already earned 27 hours. She plans to earn the remainder of her hours by volunteering at a
nursing home. If Lisa spends 2 hours at the nursing home per visit, which equation represents the
number of visits, v, that Lisa will need to make to fulfill her community service requirement?

Answers

Answer:

v=24

Step-by-step explanation:

Choose the statement that best describes a solution of a system of linear inequalities.(1 point)

A solution of a system of linear inequalities is an ordered pair that satisfies at least one of the inequalities in the system.

A solution of a system of linear inequalities is an ordered pair that satisfies the intersection of the border of each inequality.

A solution of a system of linear inequalities is an ordered pair that satisfies neither inequality in the system.

A solution of a system of linear inequalities is an ordered pair that satisfies each inequality in the system.

Answers

Answer: A solution of a system of linear inequalities is an ordered pair that satisfies each inequality in the system.

Step-by-step explanation:

A system of linear inequalities can be written as:

y < a*x + b

y < c*x + d

or

y ≤ a*x + b

y ≤ c*x + d

In the first case, the borders are not included in the solutions, and in the second case, the borders are included.

Where the solutions will be points like (x, y), where these points must be solutions for both inequalities.

Then the only option that is correct for a general system of inequalities is:

A solution of a system of linear inequalities is an ordered pair that satisfies each inequality in the system.

Answer:

A solution of a system of linear inequalities is an ordered pair that satisfies at least one of the inequalities in the system.A solution of a system of linear inequalities is an ordered pair that satisfies the intersection of the border of each inequality.A solution of a system of linear inequalities is an ordered pair that satisfies neither inequality in the system.A solution of a system of linear inequalities is an ordered pair that satisfies each inequality in the system.

Please help I will give brainliest to whomever's answer is correct

Answers

Answer:

i think its the last one

Step-by-step explanation:

it seems like the smart thing ti pick

3 divided by 2/5

100 points!!!!!!!!!!!!!! :P

Answers

Answer: its 7.5

Step-by-step explanation:you have a blessed thanksgiveing!

Answer:

7.5

Step-by-step explanation:

thank you!!!!

-36x - 24 ≤ -6(5x + 12)​

Answers

Answer:

x ≥ 8

General Formulas and Concepts:

Pre-Alg

Order of Operations: BPEMDASEquality Properties

Step-by-step explanation:

Step 1: Define inequality

-36x - 24 ≤ -6(5x + 12)

Step 2: Solve for x

Distribute -6:                         -36x - 24 ≤ -30x - 72Add 36 on both sides:         -24 ≤ 6x - 72Add 72 on both sides:          48 ≤ 6xDivide both sides by 6:         8 ≤ xRewrite:                                  x ≥ 8

Here we see that any number x greater than or equal to 8 would work as a solution.

Plzz pls pls pls pls help me I’m stuck

Answers

Answer:

1. x-5=3x-45

2. x=20

3.Perimeter is 45 units since each side is 15 units.

Step-by-step explanation:

x-5=3x-45

-5=2x-45

40=2x

x=20

So AB is 15 and AC and BC is also 15 since it is equilateral. 15+15+15=45 The perimeter is 45 units.

A one-minute advertisement on a local television station during prime time (8-10 p.m. on weeknights) costs the advertiser $12,800. To the nearest cent, how much does the advertisement cost per second? Show your work using dimensional analysis and Giant Ones

Answers

thats a nice one joe i was tinkg inksjsjssisb uyea

Darius sees a new store advertising 10 of the same packs of paper clips for $41.50. Which statement best describes the strategy Darius should use to get the best price for each pack?

Answers

Answer:

$4.150/pack

Step-by-step explanation:

Given the price of 10packs as $41.50, we can express it as;

10 packs = $41.50

To get the equivalent price of 1 pack, we will say;

1 pack = $x

Solving both equalities for x;

10 packs = $41.50

1 pack = $x

cross multiply

10 * x =  1 * 41.50

10x = 41.50

Divide both sides by 10

10x/10 = 41.50/10

x = 4.150

Hence the price for each pack is $4.150

Tony needs 6.5 ft. of wood for his fort.

He only has 3.2 ft.

How much more does he need?

Answers

He needs 3.3 ft. more

A hair stylist knows that 87% of her customers get a haircut and 40% get their hair colored on a regular basis. Of the customers who get their hair cut, 24% also get their hair colored. What is the probability that a randomly selected customer gets their hair cut and colored?

0.10
0.21
0.35
0.40

Answers

Answer:

Okay so!

Step-by-step explanation:

for a cut that's .87 and for a color that is .24 so you multiply them together to get the probability for the color which is

.35 or C on edge

The probability that a randomly selected customer gets their hair cut and colored is .

What is probability?

Probability is the chance of happening an incident or event. A probability is calculated by the ratio of the possible outcomes to total number of outcomes.

Given, the probability of he customer get a hair cut is = P(A) = 87% = 0.87.

The probability of he customer get their hair colored is = P(B) = 40% = 0.4.

Therefore, the probability of a randomly selected customer get hair cut and hair color is = P(A) × P(B) = 0.87 × 0.4 = 0.35

Therefore, 35% of the total customer get hair cut and color.

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at a vacation resort, you can rent a jet ski for $35 per hour plus a $20 rental fee. your bill came to $90.
write an equation that can be used to represent this situation?

Answers

Answer: $35 x 2 = $70 + $20 = $90

Answer:

Step-by-step explanation:

You rent a 35 dollar jet ski and per hour plus a 20 dollar rental fee. Your bill came to 90 dollars.If 35 and 20 dollars equal to 55 that means you had payed something that was 1-35 dollars. 35 + 20 = 55

Which pair of ratios is not equal? 72 : 64 and 27 : 4 72 : 64 and 27 : 4 90 to 18 and 5 to 1 90 to 18 and 5 to 1 25 to 10 and 10 to 4 25 to 10 and 10 to 4 6 : 7 and 30 : 35

Answers

Answer:

a) 72 : 64 and 27 : 4

Step-by-step explanation:

a) 72 : 64 and 27 : 4

72 /64 = 27/4

9/8 ≠ 27/4

Not equal

b) 90 to 18 and 5 to 1

90 : 18 = 5/ 1

5/1 = 5/1

Equal

c) 25 to 10 and 10 to 4

25 :10 and 10 : 4

25/10 = 10/4

5/2 = 5/2

Equal

d) 6 : 7 and 30 : 35

6/7 = 30/35

6/7 = 6/7

Equal

The pair of ratios that is not equal is

a) 72 : 64 and 27 : 4

if 3/8=24c, then c=9 true or false

Answers

Answer:

false because the equal to signifies that both equations are equal but apparently they are not

This morning, Mai's car had 15.25 gallons of fuel. Now, 1.9 gallons are left. How much fuel did Mai use?

Answers

Answer:

13.35

Step-by-step explanation:

Just subtract. 15.25-1.9 gives you the difference.

Mai used 13.35 gallons of fuel.

Unitary method is a process by which we find the value of a single unit from the value of multiple devices and the value of more than one unit from the value of a single unit.

To calculate the fuel Mai used, we can subtract the remaining fuel from the initial amount of fuel.

This can be done as follows:

Initial amount of fuel = 15.25 gallons

Remaining amount of fuel = 1.9 gallons

Fuel used = Initial amount of fuel - Remaining amount of fuel

Therefore, Fuel used = 15.25 - 1.9

Fuel used = 13.35

Therefore, We can conclude that Mai used 13.35 gallons of fuel.

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Kim eats 1/3 of an apple in 1/6 minutes.How many minutes will it take for her to eat the whole apple? Please help

Answers

Answer:

1/2 a minute.

Step-by-step explanation:

You multiply 1/6 by 3 and get 3/6, then simplify and end with 1/2.

Answer:

It will take Kim 3/6 or 1/2 of a minute to eat the apple

Step-by-step explanation:

Could JKL be congruent to XYZ? Explain.

Answers

Answer:

The could be congruent since the have an equal side length and when XYZ gets rotated it can get mapped on to JKL

Step-by-step explanation:

hope this helpsss

Answer:yes

Step-by-step explanation:

Given: F=(0,1),(2,4),(4,6),(6,8) and g=(2,5),(4,7),(5,8),(6,9),(7,5) (fxg)(2)

Answers

Answer:

(F-G)(x) = -1

Step-by-step explanation:

The notation (F - G)(x) means to subtract each function when x = 6. According to the sets when x = 6 then F is (6,8) and G is (6,9). To subtract the functions, subtract their output values. (F-G)(x) = 8 - 9 = -1.

Step-by-step explanation:

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[tex]f \times g = (2 \: , \:4 \times 5) \: , \: (4 \: , \: 6 \times 7) \: , \: (6 \: , \: 8 \times 9) \\ [/tex]

[tex]f \times g = (2 \: , \: 20) \: , \: (4 \: , \: 42) \: , \: (6 \: , \: 72) \\ [/tex]

_________________________________

Thus ;

[tex](f \times g)(2) = 20[/tex]

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Bloome’s Flower Shop purchases vases by the caseload. Each case contains 24 vases. On average, 3 vases are usually cracked and cannot be used. At this rate, how many vases should be expected to be cracked if Bloome’s orders 216 vases?

Answers

Answer:

72

Step-by-step explanation:

Which expression represents the word phrase the product of 3 and 6 more than a number? 3(x+6) 3(6−x) 3x + 6 I don't know.

Answers

Answer:

The answer would be 3(x + 6).

3(x+6) is the expression represents the word phrase the product of 3 and 6 more than a number

What is Expression?

An expression is combination of variables, numbers and operators.

Given,

We need to find the expression of word phrase "the product of 3 and 6 more than a number"

Product means multiplication of two or more numbers.

more than a number means a number is added to it.

Here in the given phrase, x is the added number.

6 more than a number means 6+x

the product of 3 and 6 more than a number

3(x+6)

Hence 3(x+6) is the expression represents the word phrase the product of 3 and 6 more than a number

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1. Label the Type of Slope



Answers

Answer:

positive slope

Step-by-step explanation:

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