A bicycle rider rode her bike 8 1/4 miles on Monday. Yesterday, she rode 6 3/8 miles. The difference in length between the two rides is what fraction of the longer ride? Part B. What distance did she ride if she biked 2 2/11 times her distance on Monday? Explain your response.

Given:

Equation of line is [tex]y=3x-7[/tex].

To find:

The equation of line which is parallel line to [tex]y=3x-7[/tex] and passes through (3,5) in function notation.

Solution:

Slope intercept form of a line is

[tex]y=mx+b[/tex]

where, m is slope and b is y-intercept.

On comparing the equation [tex]y=3x-7[/tex] with slope intercept form, we get

[tex]m=3[/tex]

So, slope of given line is 3.

Slope of parallel lines are same. Thus, the slope of parallel line is also 3.

Point slope form of a line is

[tex]y-y_1=m(x-x_1)[/tex]

where, m is slope.

The parallel line passes through (3,5) with slope 3. So, the equation of line is

[tex]y-5=3(x-3)[/tex]

[tex]y-5=3x-9[/tex]

Add 5 on both sides.

[tex]y=3x-9+5[/tex]

[tex]y=3x-4[/tex]

Function notation of this equation is

[tex]f(x)=3x-4[/tex]

Therefore, the equation equation in function notation is [tex]f(x)=3x-4[/tex].

Answer:

The answer is 1 3/4

Answer:

1 3/4

Step-by-step explanation:

7 1/4 + 1 3/4 = 9

Please choose my answer as the most helpful if it is. I want brainliest. :)

Answer:

The moon's gravitational pull on the Earth is the main cause of the rise and fall of ocean tides.

Step-by-step explanation:

The moon's gravitational pull causes two bulges of water on the Earth's oceans—one where ocean waters face the moon and the pull is strongest and one where ocean waters face away from the moon and the pull is weakest.

Hope it helped!!

Answer:

E

Step-by-step explanation:

When the absolute value of a number is trying to be found, you take the number inside and if its a negative it turns to a positive and if its a positive inside then it stays the same.

Answer:

BDE, absolute value is how far away it is from 0 so it is BD and E

Step-by-step explanation:

It says select all that apply aswell which is why there is more then one answer

Answer:

48 hours

Step-by-step explanation:

The number of hours that Carrie must tutor to earn $408 will be 48 hours.

The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.

Carrie earns $8.50 per hour for tutoring her little brother.

Let x be the number of hours. Then the equation is given as,

8.50x = 408

Simplify the equation, then we have

x = 408 / 8.50

x = 48 hours

The number of hours that Carrie must tutor to earn $408 will be 48 hours.

More about the solution of the equation link is given below.

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Answer:

(a)

Step-by-step explanation:

[tex]y= -4^{x}[/tex] and y = 2x - 3

Answer:

37 beads

Step-by-step explanation:

Given that:

Adel : Claire = 7 : 4

Let Adel be = A;  &

Let Claire be = C

A: C = 7 : 4

[tex]\dfrac{A}{C} =\dfrac{7}{4}[/tex]

7C = 4A

[tex]C = \dfrac{4A}{7}[/tex] --- (1)

When Adel gave 68 beads to claire, we have:

C + 68 = 25:41

[tex]\dfrac{A}{C+68}= \dfrac{25}{41}[/tex]

25(C + 68) = 41A

C + 68 = [tex]\dfrac{41}{25}A[/tex]

[tex]C = \dfrac{41}{25}A - 68[/tex] --- (2)

Equating (1) and (2) together;

[tex]\dfrac{4 * A}{7} = \dfrac{41 *A}{25} - 68[/tex]

[tex]\dfrac{4 * A}{7}-\dfrac{41 *A}{25} = - 68[/tex]

[tex]\dfrac{100A - 287 A}{175} =- 68[/tex]

[tex]\dfrac{-187A}{175} = -68[/tex]

- 187 A = 175 × (-68)

-187 A = - 11900

A = - 11900/ -187

A ≅ 64

From; [tex]C = \dfrac{4A}{7}[/tex]

[tex]C = \dfrac{4*64}{7}[/tex]

C = 36.57

C ≅ 37 beads

Answer:

x=2, y=3

Step-by-step explanation:

This is a system of equations.

To solve a system of equations, we use the substitution method.

We can plug in the first equation, [tex]x=2y-4[/tex], into the value for x in the second equation. Now, the second equation looks like this:

[tex]2*(2y-4)+y=7[/tex]

We simplify and solve for y:

→ [tex]4y-8+y=7[/tex]

→ [tex]5y=15[/tex]

→ [tex]y=3[/tex]

Now, we plug in the value for y, which is 3, into either equation. I will just use the first equation:

→ [tex]x=2*3-4[/tex]

→ [tex]x = 2[/tex]

Let me know if my explanation is unclear.

Answer:

80

Step-by-step explanation:

Answer:

it's the point (3, 2)

Step-by-step explanation:

Plug in 3 into x and plug in 2 into y. You will get 2≤2(3)-4. This ends up equalling 2≤2. THis is the answer cuz 2 is equal to or less than 2. :)

Answer:

✔(3, 2)

Step-by-step explanation:

E-2021

Answer:

Try writing to your teacher, why students should have game time on Fridays.

Step-by-step explanation:

Children at school are getting worried about recent events, but letting kids play Video games will keep their minds more focus on the game, instead of their worries. Plus this can give teachers extra time to plan lessons or just take a relaxing break, teachers deserve it anyways.

Answer:

$235.2

Step-by-step explanation:

$210 * (100%+12%)

= $210 * 112%

= $210 * 1.12

= $235.2

Hope this helped!

Answer:

The final answer is $470.40.

Step-by-step explanation:

210 x 2 = $420

To find the final price including tax, we must find 12% of $420.

420 x 0.12 = $50.4

Now, we must finalize the price by adding the tax to the price without tax.

$420 + $50.4 = $470.40

Therefore, the final cost for the hotel room is $470.40.

Hope this helps you out! :)

A=90m^2

Cost=RS.7200

I hope that helps

Answer:

this is the formula that you want

Answer:

y = √ x+12(square root of x+12)

Step-by-step explanation:

x = y^2 - 12

x+12 = y^2

y^2 = x+12

y = √ x+12

Answer:

Question 1. Find the inverse of the function y = x2 – 12.

B. y=+/- sqrt x+12 end sqrt

Question2. Find the inverse of the function y=2x2+2

D. y= +/- sqrt 1/2x-1 end sqrt

Answer:

A. Bracelets take 3 minutes, and necklaces take 8 minutes.

Step-by-step explanation:

If Mary made 3 necklaces at that rate, it would add up to 24 minutes. A bracelet takes 3 minutes to make, and she made 2, so that would take 6 minutes. Add 24 to 6 and you'll get 30 minutes. I hope this helped :^)

Answer:

23 56

Step-by-step explanation:

yt

Answer:

Gordo's weight = 15 pounds

It is outside the healthy weight range and is in the top 5% of weights of cats.

Gordo's weight makes Gordo unhealthy.

Step-by-step explanation:

μ = mean weight = 9.5 pounds

σ = standard deviation = 1.5 pounds

This is a normal distribution problem

We first calculate the limit of the bottom 5% of weights

Let the z-score for this limit be z'

P(z < z') = 0.05

From the normal distribution table,

z' = -1.645

And the limit for the top 5% which is z" = 1.645.

The weight that corresponds to these scores are then calculated.

Standardized scores are given as

z = (x - μ)/σ

So,

z' = (limit for the bottom 5% - μ)/σ

-1.645 = (limit for the bottom 5% - 9.5)/1.5

limit of the bottom 5% = (-1.645)(1.5) + 9.5 = 7.033 pounds

z" = ( (limit for the top 5% - μ)/σ

1.645 = (limit for the top 5% - 9.5)/1.5

limit of the bottom 5% = (1.645)(1.5) + 9.5 = 11.968 pounds

Therefore the healthy weight range for cats is (7.033 < x < 9.968)

Gordo's weight = 15 pounds

It is outside the healthy weight range and is in the top 5% of weights of cats.

Gordo's weight makes the cat unhealthy.

Flaco's weight = 8 pounds

Flaco's weight lies in the healthy weight range for cats. Hence, Flaco is a healthy cat.

Answer:

B

Step-by-step explanation:

Answer:

B. Is the correct way to show the problem.

Step-by-step explanation:

A: The number line is useless. It shows working backwards from the answer. You want to show how the answer was obtained. + goes right - goes left. Not A. This actually shows 1.1 - 0.8 - 0.3

C: C shows 0.8 - 0.3. Remember + goes right - goes left.

D: D is wrong. It shows 0.3 to 1.1 and then 0.3 back to 0.8. You are not doing that.

Answer: most likely be (7,7) not sure right or wrong but i tried so yeah

Step-by-step explanation:

Answer:

x=4

y=5

Step-by-step explanation:

inform me if u cant open the image

Answer:

(4,5)

Step-by-step explanation:

I solved through substitution

3x+2y=22

x-2y=-6 ----> -2y=-6-x ----> -2y=-x-6 -----> y=1/2x+3

Solving for x:

3x+2y=22

3x+2(1/2x+3)=22

3x+x+6=22

4x+6=22

4x=16

x=4

Solving for y:

x-2y=-6

4-2y=-6

-2y=-10

y=5

(4,5)

Answer:80

Step-by-step explanation:

take 20 from 100 and give them to 60.

take 10 from 90 and give to 70.

adds ut to avg 80

Answer:

I believe the answer is D.  

Step-by-step explanation:

22= jeans 8x= 8 dollars PER shirt

All of this has to be less than or equal to $60 because that is all the money she has. I hope this helps!! Please mark me brainliest!!

Answer:

[tex] 22 + 8x \le 60 [/tex]

Step-by-step explanation:

She has at most $60, so the amount she spends is less than or equal to $60.

[tex] amount~she~spends \le 60 [/tex]

The jeans cost $22.

The shirts cost $8 each, so for x shirts, she'll pay 8x.

The total amount she spends is 22 + 8x. It must be less than or equal to 60.

[tex] 22 + 8x \le 60 [/tex]

Answer:

12.13

Step-by-step explanation:

Please tell me if I'm correct!

Answer:

12.13

Step-by-step explanation:

Answer:

um idrk lol but I LIKE UR CUT G!!!!

Answer:

D

Step-by-step explanation:

I used a triangle calculator I'm not really sure how to calculate it by hand. if the angle of sides 4 and 15 is set to 1 then the min is 11.33 and if the andle of sides 4 and 15 are set to 179 then the max is 18.99952

Sorry if this isnt enough, but i am sure.

Answer:

D.  11 < x < 19.

Step-by-step explanation:

The third side x is between 11 and 19 cm.

Consider sides AB (length 4) and BC (length 15) of the triangle.

Consider the angle between AB and BC is slightly less than 180 degrees.  To get from point A to point C, we have to travel almost the entire length of A to C, which is from A to B and then B to C, so a bit less than 19 cm.

Consider the angle between AB and BC is slightly more than 0 degrees.  To get from point A to point C, we subtract the length of AB (because we're already further along BC), so 15 - 4, a bit greater than 11.

Answer:

4 times.

Step-by-step explanation:

16/4 = 4.

Hope this helped!

Answer:

x = 20

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Sum the 3 given angles and equate to 180

3x + 1 + x + 14 + 4x + 5 = 180, that is

8x + 20 = 180 ( subtract 20 from both sides )

8x = 160 ( divide both sides by 8 )

x = 20

Answer:

$1.90

Step-by-step explanation:

Answer:

On days with similar conditions as this day, it has rained 60% of the time in Boston, Massachusetts

Step-by-step explanation:

I got it right on the quiz

The correct answer is "On days with similar conditions as this day, it has rained 60% of the time in Massachusetts."

Probability is the possibility of happening an event.

Given that, there is a 60% probability of rain on a specific day.

Therefore, it rained 60% of the time on that day.

Hence, the correct answer is "On days with similar conditions as this day, it has rained 60% of the time in Massachusetts."

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Answer:

[tex]{:}\longrightarrow[/tex][tex]\sf BD={\dfrac {1}{2}}AE [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf BD={\dfrac {1}{2}}21[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf BD={\dfrac {21}{2}}[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf BD=10.5cm [/tex]

The line BD will be 10.5cm in the triangle ABC. Thus option D is correct.

A closed shape with both inner and exterior angles, a triangular is created by three lines.  the fundamental geometric shapes. a vertex-filled triangle. There is only one distinct triangle if the product of two fades on the sides is bigger than the longest side. 

The value of AE is given as 21.

From the diagram that is given, it is indicated that according to the midpoint theorem

BD║AE

Also, BD= 1/2 ×AE

BD = 21/2

BD = 10.5 cm.

Therefore, option D is the correct option.

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The question is incomplete, the complete question will be :

A. 42

B. 21

C. 11.5

D. 10.5​

Answer:

X = 4   X = -6

Step-by-step explanation:

X + 1 = 5                                          X + 1 = -5

X = 5 - 1                                          X = -5 -1

X = 4                                               X = -6

Answer:

Step-by-step explanation:

What absolute values of x will fit.

l4+1l=5

l -6+1l=5