On your bike, you can travel 6 miles per hour. Which variable is independent?

Answer:

The linear function becomes:

y = 15x + 10

Here, 'x' is the number of hours, b=10 is the initial service fee i.e. $10, 15 is slope or rate of change, and 'y' is the cost.

Step-by-step explanation:

We know that the slope-intercept of a linear function is

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

where m is the slope and b is the y-intercept

Note: Slope is also termed as the 'rate of change'.

Given that Aron charges an initial service fee of 10$.

Thus, the y-intercept = b = 10

As the rate of change = 15$ per hour

so the slope = m = 15

Therefore, the linear function becomes:

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

y = 15x + 10

Here, 'x' is the number of hours, b=10 is the initial service fee i.e. $10, 15 is slope or rate of change, and 'y' is the cost.

For example, in one hour i.e. x = 1, the cost 'y' will be:

y = 15x + 10

y = 15(1) + 10

y = 25 + 10

y = $25

Therefore, in one hour (x=1), the cost will be: y = $25

By the Pythagoras theorem we know that the if the square of the longest side of the triangle is equal to the sum of the square of other two sides.

The triangle formed by the sides 3.8 cm ,3.7 cm, and 5 cm is​ acute angle triangle.

How to find the type of triangle?

By the Pythagoras theorem we know that the if the square of the longest side of the triangle is equal to the sum of the square of other two sides. Thus,

           [tex]c^2=a^2+b^2[/tex]

       By this law it is observed that,

         [tex]c^2<(a^2+b^2)[/tex]

        [tex]c^2>(a^2+b^2)[/tex]

The sides of the given triangle are  3.8 cm ,3.7 cm, and 5 cm.

Here the longest side is 5 cm. Thus check the type of triangle using above formula. Longest side,

[tex]c^2=5^2\\c^2=25[/tex]

Other two sides,

[tex]a^2+b^2=3.8^2+3.7^2\\a^2+b^2=14.44+13.69\\a^2+b^2=28.13[/tex]

Therefore,

[tex]25<28.13\\[/tex]

Hence the triangle formed by the sides 3.8 cm ,3.7 cm, and 5 cm is​ acute angle triangle.

Learn more about the type of triangle here;

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Answer:

m∠5= 52°

m∠1= 128°

m∠3= 52°

Step-by-step explanation:

Please see the attached picture for the full solution.

Alternatively,

m∠3= m∠5 (vert. opp. ∠s)

m∠3= 52°

Answer:

(0,4) and (-4,0)

Step-by-step explanation:

Answer:   1.50+5m=76.50 m=15

Step-by-step explanation:

The required equation is 1.5 + 5m = 76.50 and distance travelled is 15 miles.

In mathematics, an equation is a formula that expresses the equality of two expressions by connecting them with the equal sign = .

Now it is given that,

pick-up fee = $1.50 plus $5 per mile

Since, m is the number of miles in the taxi ride

So, equation for pick-up fee for m miles,

pick-up fee = $1.50 + $5m

Now total fare = $76,50

Thus, required equation to determine m is given as,

1.50 + 5m = 76.50

Subtracting 1.5 both the side we get,

1.50 + 5m - 1.5 = 76.50 - 1.5

⇒ 5m = 75

or, m = 75/5

⇒ m = 15

Thus, the required equation is 1.5 + 5m = 76.50 and distance travelled is 15 miles.

To learn more about equation :

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Answer:

6 hearts to 9 stars

Step-by-step explanation:

If a set of stickers contains 4 hearts for every 6 stars, this means that

4 hearts = 6stars

1 heart = x

Cross multiply

4x = 1*6

4x = 6

x = 6/4

x = 3/2

Number of hearts = 3/2 * 4 = 3*2 = 6

Number of stars = 3/2 * 6 = 3 * 3 = 9

Hence equivalent ratio of hearts to stars is 6 hearts to 9 stars

Answer:

6 to 9

Step-by-step explanation:

Answer:

Can you retype that and I’ll do it?

Step-by-step explanation:

Answer:

Translation, refelction, stretch/compression. :D

Step-by-step explanation:

Answer: (-4,-2)

Step-by-step explanation:

Looking at the graph, if you move from the zoo downwards for 7 units, you will arrive at point B which is also 2 units from the park.

Point B is therefore the doctor's office and its coordinates are, (-4, -2)

Answer:

I'm pretty sure its b but I'm not sure I'm sorry if it's wrong

The answer is  A.) 3n - 8

Answer:

17) (2,-1)

18) (3,-7)

1,3, and 4 are isometric because they preserve the size of the shape. 2 is not an isometry because the size of the shape changes.

Step-by-step explanation:

To find the translation in the first 2 questions, you would first choose a reference point on the original shape (like point S). Then, you count the number of units it moved in the x-direction (to the right 2) which is the x coordinate. Then, you count the number of spaces it moved in the y-direction (down 1) which corresponds to the y coordinate -1.

Answer:

Everything you need is down below

Step-by-step explanation:

PAGE 1

17.) (x + 2, y - 1)

18.) (x + 3, y - 7)

PAGE 2

1.) Yes, b/c isometry is when two points have the same distance and this image looks like it was flipped upside down.

2.) No, this is a dilation not an isometry

3.) Yes, b/c they are the same size and the shape could have been flipped upside down, to the left, right, or up.

4.)  Yes, b/c the shape has been flipped to the right and it has the same size.

PAGE 3

9.) Plug in (2 - 8, 6 + 4)

A'(-6, 10)

10.) (-1 - 8, 5 + 4)

B'(-9, 9)

11.) Reverse it (-3 + 8, -10 - 4)

C(5, -14)

12.) Reverse it (4 + 8, -3 - 4)

D(12, -7)

PAGE 4

Is in the screen shot

PAGE 5

#5 and #6 in the screen shot

7.) (x + 5, y - 2)

8.) (x - 3, y - 1)

Answer:

D) L+S=9 ; 6L+3S=9

Step-by-step explanation:

Given this information, we know that the total number of large and small Ubers must be 9, so we can eliminate choices A and C as the first part of the system of equations is L+S=9

Also, since the large Ubers can fit only 6 people per vehicle and the small Ubers can only fit 3 people per vehicle, then we can eliminate choice B as the second part of the system of equations is 6L+3S=39

Therefore, the only correct choice is D

Explanation:

Line L is the horizontal line. Any point on this line has y coordinate y = 4, so the equation is simply y = 4.

You could say the equation is y = 0x+4, which shows the slope is 0. But I think y = 4 is the better answer.

Answer:

500w + 25 = 200

Step-by-step explanation:

"He withdraws $25 per week..." <------

Answer:

44 is the answer for the question

Answer:

44

Step-by-step explanation:

5x8= 40

40+4=44

Answer:

If two lines are parallel, then their slopes are equal.

Answer:

F=M*H

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let the amount of pineapple juice be x quarts, the concentration of juice is as following equation:

Answer:

no there isn't this is irrelevant

Answer:

52x+135.74=265.74

4x+3=67

29.95+15.75=187.45

Step-by-step explanation:

52x+135.74=265.74

4x+3=67

29.95+15.75=187.45

Answer:

n=3

Step-by-step explanation:

3.4(107)=2(104)(1.7(10n))

n=3

Answer: 20 miles

Step-by-step explanation:

Since the Uber charges $5.00 for the first mile you have to subtract that from the total which is 62.

62.00 - 5.00 = 57.00

Then you keep subtracting 3.00 from 57.00 or you can divide 57 by 3 because 57 is how much money is left and the Uber charges 3 dollars for each mile after the first.

57.00 divided by 3.00 is 19

Then add 1 to 19 which equals 20 miles. You add 1 to 19 because 19 is the amount of miles she goes but that doesn’t include the 1st mile.

Sorry if this is confusing

The standard form is ax² + bx + c = 0. We could write:

(x + 7 )(x + 8)

x²+8x+7x+56

x² + 15x + 56  → Answer

Answer:

14x-35

Step-by-step explanation:

Use distributive property so,

you multiply 2x and -5 by 7

2x*7=14x

-5*7=-35

Answer:

B

Step-by-step explanation:

because it just is

Answer:

254.15 dollars you would have to pay.

The answer is A.125 because I did this before

Answer: The answer is x = -20.

Answer:

x = -20

Step-by-step explanation:

50 = -2.5x

Divide both sides by -2.5

-20 = x