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 mins?

Answers

Answer 1

Answer:

Step-by-step explanation:

45 minutes is 3/4 hr.

(3/4)(12 + b) = 9 + 3b/4 miles


Related Questions

unicorn a is 4 times older than unicorn b.The sum of their ages is 1.450.

Answers

Answer:

Unicorn a : 1,160, and Unicorn b : 290

Step-by-step explanation:

We can make this an equation

Unicorn a is 4x

Unicorn b is x

4x + x = 1,450

x = 290

Unicorn a : 4•290= 1160 years old

Unicorn b : is 290 years old

Use the graph below to answer the question. On a coordinate plane, a line goes through (0, 0) and (3, negative 3). What is the slope of a line that is perpendicular to the line in the graph?

Answers

Answer:

y = x

Step-by-step explanation:

So 1st we need to find the slope of the original line which is y = -x

(use slope formula)

2nd Now we just need to reverse the slope, and that gets us to y = x

Answer: 6

its obvious  

A and B stand in a line at random with 10 other people. What is the probability that there are exactly 3 people between A and B?

Answers

Answer:

so no answer

Step-by-step explanation:

no answer

what is the percent of change from 5 to 7

Answers

Answer:

The answer is 20% have a great day

Answer:

40%

Step-by-step explanation:

that's what googl e said

Use partial products to multiply

73

×

42

73×4273, times, 42.

Answers

Answer:

13,101,108

as in Thirteen million ,hundred and one thousand, one hundred and eight

A number, n, is divided by -1/3. The product is 6/5 what is the value of n?

Answers

Steps are attached.

Answer =》n = -2/5 = -0.4

______

RainbowSalt2222 ☔

what is the HCF of 2x and x​

Answers

HCF (2x, x) = x.

Factors of 2x = 2 × x × 1

Factors of x = x × 1

Common factors = x, 1

HCF = x × 1 = x

See the attachment too.

________

Hope it helps ⚜

Eric's jersey number is a two-digit odd number. The positive difference between the two digits is 7, and the sum of the two digits is 11. What is Eric's jersey number?

Answers

Answer:

29

Step-by-step explanation:

We first need to know what 1-digit numbers add up to 11.

One digit numbers that add up to 11 are:

2 and 9

3 and 8

4 and 7

5 and 6.

The only pair here who's difference is 7 is: 2 and 9.

9 and 2 wont work because it's even, So the answer is 2 and 9 or 29.

help please
i will give the best one ​

Answers

The answer is A because if you graph g(x) then it wouldn’t be linear

Select all of the following that are quadratic equations. 7x2 + 14x = 0 x3 - 3x2 + 1 = 0 5x - 7 = 0 x2 + 3x -5 = 0 x - 5 = 9x + 7 x2 - x = 3x + 7

Answers

Answer:

7x2 + 14x = 0

x2 + 3x -5 = 0

x2 - x = 3x + 7  

Step-by-step explanation:

A quadratic equation has the highest power of x to the second power.  It must have x to the second power

7x2 + 14x = 0  quadratic

x3 - 3x2 + 1 = 0   not quadratic  but cubic

5x - 7 = 0  not quadratic  but linear

x2 + 3x -5 = 0   quadratic

x - 5 = 9x + 7  not quadratic but linear

x2 - x = 3x + 7  quadratic

What is the Ratio of 129 215

Answers

Answer:

none

Step-by-step explanation:

Consider the pattern 24, 33, 42, 51, …. What will the 10th term be?

Answers

Answer:

a₁₀ = 105

Step-by-step explanation:

There is a common difference between consecutive terms , that is

33 - 24 = 42 - 33 = 51 - 42 = 9

This indicates the sequence is arithmetic with nth term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 24 and d = 9 , then

a₁₀ = 24 + (9 × 9) = 24 + 81 = 105

The 10th number of the arithmetic sequence will be 105.

What is an arithmetic sequence?

Let a₁ be the first term and d be a common difference. Then the nth term of the arithmetic sequence is given as,

aₙ = a₁ + (n - 1)d

The arithmetic sequence is given below.

24, 33, 42, 51, ....

The first term is 24 and the common difference will be

d = 33 - 24

d = 9

Then the 10th term of the arithmetic sequence will be

a₁₀ = 24 + (10 - 1) × 9

a₁₀ = 24 + 9 × 9

a₁₀ = 24 + 81

a₁₀ = 105

The 10th number of the arithmetic sequence will be 105.

More about the arithmetic sequence link is given below.

https://brainly.com/question/12373434

#SPJ2

examine the following sequence 1,4,9,16,25…why is 36 the next number in the sequence ? because the pattern is

Answers

Answer:

The pattern is adding by consecutive odds.

Step-by-step explanation:

The first odd you start with is 3:

1 + 3 = 4

4 + 5 = 9

9 + 7 = 16

16 + 9 = 25

25 + 11 = 36

...

Note that each time you add, it is by consecutive odds, meaning that after 36, you are adding 13, then 15, etc.

~

Solve the Quadratic

Solve for x. Write in simplified radical form.

2x^2 + 3x – 20 = 0

Solution 1:
Solution 2:

Answers

~quadratic equation

======================

2x² + 3x - 20 = 0

= a + b = 3

= ab = 2(-20) = -40

= a = -5

= b = 8

= (2x² - 5x) + (8x - 20)

= x(2x - 5) + 4(2x - 5)

= (2x - 5) (x + 4)

= Solution 1 : x = 5/2 ✔️

Solution 2 : x = -4 ✔️

~ nice to help you ^^

[tex]2x^2 +3x -20 =0\\\\\\\implies x = \dfrac{-3 \pm \sqrt{(-3)^2 - 4 \cdot 2 \cdot (-20)}}{2 \cdot 2}\\\\\\\implies x = \dfrac{-3 \pm \sqrt{169}}{4}\\\\\\\implies x = \dfrac{-3\pm 13} 4 \\\\\\\text{Hence} \\\\x = \dfrac{-3+ 13}{4} = \dfrac{10} 4 = \dfrac{5}2\\\\\text{Or}\\\\x= \dfrac{-3-13}4 = -\dfrac{16}4 =-4[/tex]

Which equation has a solution of r = 1/3

Answers

Answer:

                 

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

A.

2 2/3 + r = 3

r = 3 - 2 2/3

r = 1/3

B.

r - 1 = 2/3

r = 1 2/3

C.

3r = 1/3

r = 1/9

D.

4r = 12

r = 3

Answer: A.

What is 924 \ 6

Please explain how you did it

( BTW / stands for “divided by”)

Tell me if I’m reading this incorrectly just in case. Thanks!

Answers

Answer:

154

Step-by-step explanation:

use the bus stop method so you divide each number separately, starting from the left.

9 divided by 6=1 with a remainder of 3 because 1x6=6 and 9-6=3. Then you move that 3 over to the next number, the 2, to make it 32.

32 divided by 6=5 with a remainder of 2 because 5 x 6=30 and 32-30=2. Then you move that 2 over to the next number, the 4, to make it 24.

24 divided by 6 is 4.

So if you put all of those numbers together, it makes 154.

If u get this right u get branlnest

Answers

Answer:

Option 4

Step-by-step explanation:

[tex]2(a+6)[/tex]

Substitute [tex]a=2[/tex]:

[tex]2(2+6)=2(8)=16[/tex]

-------------------------------

Check first option:

[tex]4a+8[/tex]

Substitute [tex]a=2[/tex]:

[tex]4(2)+8=8+8=16[/tex]

Since 16 is not greater than 16, the first option is incorrect.

-------------------------------------------------------------------------------------

Check second option:

[tex]2a+a^2[/tex]

Substitute [tex]a=2[/tex]:

[tex]2(2)+2^{2} =4+4=8[/tex]

Since 8 is not greater than 16, the second option is incorrect.

-------------------------------------------------------------------------------------

Check third option:

[tex]2a+12[/tex]

Substitute [tex]a=2[/tex]:

[tex]2(2)+12=4+12=16[/tex]

Since 16 is not greater than 16, the third option is incorrect.

-------------------------------------------------------------------------------------

Check fourth option:

[tex]a^4+2[/tex]

Substitute [tex]a=2[/tex]:

[tex]2^4+2=16+2=18[/tex]

Since 18 is greater than 16, the fourth option is correct.

Write an equation of the line in slope-intercept form.

Answers

Answer:

y = x + 4

Step-by-step explanation:

From point (-1, 3) to point (0, 4), go up 1 (rise = 1) and go right 1 (run = 1).

slope = m = rise/run = 1/1 = 1

The y-intercept is b = 4

y = mx + b

y = x + 4

what is the equation of the line that is perpendicular to y=-1/4x-2 and goes through the point (-2,-3)

Answers

Step-by-step explanation:

y=-1/4x-2

1/4x+y+2=0.........1

line perpendicular to eqn 1 is

x-1/4y+k=0

as the line passes through the (-2,-3)

-2-1/4×-3+k=0

-1+4k=0

K=1/4

the eqn is 4x-y+1=0

2x+3-3 when x=-6



solve

Answers

Answer:

x=9

Step-by-step explanation:

f(x)=x^2-(7/2)x-.5 and g(x)= 2-(2/x)

Answers

Answer:

23

Step-by-step explanation:

what is the equation of this line in slope-intercept form

Answers

Answer:

y=3/5x+3 i think

Step-by-step explanation:

3 is the y intercept, and to find the slope its rise over run so 3 up and 5 to the side, i hope this helps!!

For their group project, Mia and Ichiro researched
hybrid cars that combine gas and an electric motor.
“Awesome, so it consumes less fuel and emits less
CO2 into the environment,” Ichiro said.
“While hybrid cars are better for the environment,
I’m seeing that some people are hesitant to buy one
because of the higher purchase price,” Mia noted.
They found the graph to the right, which shows the
miles per gallon (MPG) and the annual tons of GHG
produced by 8 different types of cars. If each gallon
of gasoline burned created 20 pounds of GHG, and
the price of gasoline was $2.454 per gallon, how
much money was saved annually on gas by the car
that got 40 miles per gallon when compared to the
car that got 20 miles per gallon? Provide your answer
to the hundredths place. Note: 1 ton = 2,000 pounds. This is from Pg.2 -7th Grade math problem.

Answers

Hybrid cars have lower operational cost and reduce Green House Gases

GHG when journeys are made on a frequent basis.

The amount saved annually on gas by the car that got 40 miles per gallon when compared to the car that got 20 miles per gallon is $1,076.76.

Reasons:

The given parameters are;

The mass of Green House Gases GHG created by each gallon of gasoline burned = 20 pounds

The price per gallon of gasoline = $2.454

Let A represent the cars that consume 40 MPG and let B represent the cars that consume 20 MPG.

Amount of GHG produced per year by cars A = 4.4 tons

4.4 US tons = 8,800 lbs

Amount of GHG produced per year by cars A = 8.8 tons

8.8 US tons = 17,600 lbs

[tex]\displaystyle Gasoline \ consumed \ per \ year \ by \ car \ A = \frac{8,800 \ lb}{20 \ lb/ gallon} = \mathbf{440 \ gallons}[/tex]

Cost of gasoline consumed per year by car A per year is therefore;

[tex]Cost_A[/tex] = 440 gallons × $2.454 = $1,079.76

[tex]\displaystyle Gasoline \ consumed \ per \ year \ by \ car\ B = \mathbf{\frac{17,600\ lb}{20 \ lb/ gallon}} = 880 \ gallons[/tex]

Cost of gasoline consumed per year by car B per year is therefore;

[tex]Cost_B[/tex] = 880 gallons × $2.454 = $2,159.52

The amount saved annually by car A compared to car B is therefore;

Fuel cost savings by Car A = $2,159.52 - $1,079.76 = $1,079.76

The amount saved on gas by the 40 MPG car = $1,079.76

Learn more here:

https://brainly.com/question/14806781

What is the period of the trigonometric function f(t) = 3sin()?
A) 2 pi
B) 3 pi
C) 4 pi
D) pi / 2

Answers

Your answer would be B) 3 pi

Here’s a freebie for the lucky people who answer this

79 - 10 =
A. 70

B. 7

C. 69

D. 6.9

430 - 10 =

A. 469

B. 421

C. 4.2.0

D. 420

Answers

Answer:

The answer is C.

The answer is D.

Step-by-step explanation:

Thank you:)

The answer is 69 or it is c

(-4) ⁴ what is the value of this expression

Answers

256 is the answer of this expression

HELP ME OUT PLEASE
PLS SEND PICTURE OF WHAT TO DO

Use the data to create a scatter plot. ​​

Answers

Answer:

(2,5)

(3,8)

(4,13)

(5,12)

(6,18)

(7,20)

Plug those into the scatter plot graph

Step-by-step explanation:

The left side is the x axis and the right side is the y axis

What is the average rate of change of the functionf (x) = 20(1/4)^xfrom x = 1 to x = 2?​

Answers

Step-by-step explanation:

the average rate of change of a function f(x) between two values of x is

(f(x2) - f(x1)) / (x2 - x1)

f(x) = 20× (1/4)^x

x1 = 1

x2 = 2

f(x2) = 20× (1/4)² = 20/16 = 5/4

f(x1) = 20× (1/4)¹ = 20/4 = 5

(5/4 - 5) / (2 - 1) = (5/4 - 20/4) / 1 = -15/4

the average rate of change is -15/4.

Help help help help help help

Answers

Answer:

Step-by-step explanation:

A' (- 3 + 4, 4 + 2) = (1, 6)

B' (- 1 + 4, 2 + 2) = (3, 4)

C' (- 5 + 4, 0 + 2) = (-1, 2)

how many feet in 13 miles, 176 yards?

Answers

69,168

Cause:

1 mile = 5280 ft
13 miles · 5280 ft = 68,640 ft

1 yd = 3 ft
176 yds · 3 ft = 528 ft
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