at davidson's bike rentals it cost $48 to rent a bike for 9 hours. how many hours of bike use does a customer get per dollar?

Answer:

p: 42

a: 82.16

Step-by-step explanation:

For perimeter, add all the sides together

For area, multiple the longer side by the shorter side

Answer:

B

Step-by-step explanation:

It adds one row on the bottom and one row on the right

Answer:

The equation for the following graph:

[tex]y = -\frac{1}{5}x[/tex]

Step-by-step explanation:

- You first need to find the slope by using the slope formula:

[tex]m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex]

(where [tex](x_{1},y_{1})[/tex] is the first point and [tex](x_{2}, y_{2})[/tex] is the second point)

-Use the given points [tex](0,0)[/tex] and [tex](10, -2)[/tex] from the graph for the formula:

[tex]m = \frac{-2 - 0}{10 - 0}[/tex]

Then, you solve:

[tex]m = \frac{-2 - 0}{10 - 0}[/tex]

[tex]m = -\frac{1}{5}[/tex]

After you have found the slope, use the slope [tex]-\frac{1}{5}[/tex] and the first point [tex](0,0)[/tex] for the point-slope formula:

[tex]y - y_{1} = m ( x - x_{1})[/tex]

(where [tex]m[/tex] is the slope and [tex](x_{1}, y_{1})[/tex] is the first point)

[tex]y - 0 = -\frac{1}{5} ( x - 0)[/tex]

Then, you solve:

[tex]y - 0 = -\frac{1}{5} ( x - 0)[/tex]

[tex]y - 0 = -\frac{1}{5}x - 0[/tex]

[tex]y - 0 + 0 = -\frac{1}{5} - 0 + 0[/tex]

[tex]y = -\frac{1}{5}x[/tex]

So, the equation for the following graph is [tex]y = -\frac{1}{5}x[/tex] .

Answer:

P = 0.0655

Step-by-step explanation:

First, we are going to calculate the number of ways in which we can select the 10 balls. This is calculated using the rule of multiplication as:

[tex]T=20*20*20*20*20*20*20*20*20*20\\T=20^{10}\\T=1.024*10^{13}[/tex]

Because we have 20 different balls every time and the experiment is repeated 10 times.

Then, from that [tex]1.024*10^{13}[/tex] ways, there are C ways where all the numbers recorded are distinct. It is calculated as:

[tex]C = 20*19*18*17*16*15*14*13*12*11\\C = 6.704*10^{11}[/tex]

Because, the first time, we have 20 options, the second time, we can just select 19 balls because we can not repeat the numbers, the third time, we can just select 18 balls and we need to keep doing this until get to the 10th time.

Finally, the probability that all the numbers recorded were distinct is calculated as C/T and it is equal to:

[tex]P=\frac{C}{T}=\frac{6.704*10^{11}}{1.024*10^{13}} =0.0655[/tex]

Answer:

72

Step-by-step explanation:

12b

Let b = 6

12*6

72

Answer:

72

Step-by-step explanation:

You have to take 12 times 6 because b=6.

so 12b=12 times 6

12 times 6= 72

Answer:

He bough 1.25 lbs of shrimp and 3.75 lbs of potato.

Step-by-step explanation:

Since the stew is composed of shrimps and potatoes, then the sum of the weighs of these ingredients must be equal to the weigh of the stew, so we have:

[tex]shrimp + potato = 5[/tex]

We also know that he bought three times more potatoes than shrimps, therefore:

[tex]potato = 3*shrimp[/tex]

Using the second equation on the first one, we have:

[tex]shrimp + 3*shrimp = 5\\4*shrimp = 5\\shrimp = \frac{5}{4} = 1.25[/tex]

[tex]potato = 3*shrimp = 3*1.25 = 3.75[/tex]

He bough 1.25 lbs of shrimp and 3.75 lbs of potato.

Answer:

Step-by-step explanation:

Slope of a line is defined as the change in the component of the y- axis to its x axis as shown;

slope = Δy/Δx = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

From the graph, y2 = 0, y1 = 4000, x2 = 10, x1 = 0

slope = [tex]\frac{0-4000}{10-0}[/tex]

[tex]slope = \frac{-4000}{10}\\ slope = -400[/tex]

The slope of the line is a negative slope and it is -400

Answer: A. -400

Step-by-step explanation:

just had this and got in correct

Answer:

True

Step-by-step explanation:

90-35=55degree

180-55=125°

Answer:

Option (2)

Step-by-step explanation:

                          Statements                                Reasons

1). ∠1 is comp. to ∠2                                1. Given

2). ∠2 is comp. to ∠3                              2. Given

3). ∠1 + ∠2 = 90°                                      3. def. of comp. angles

4). m∠1 = 90° - ∠1                                    4. Subtr. equality property

5). m∠2 + m∠3 = 90°                              5. def. of comp. angles

6). m∠3 = 90° - m∠2                               6. subtr. equality property

7). m∠1 = m∠3                                         7. Transitive property

Option (2) will be the answer.

Both angle ∠1 and ∠3 are complementary to ∠2, therefore, ∠1 + ∠2 = 90°

and by properties of equality, ∠1 = ∠3.

Response:

The completed two column proof is presented as follows;

Statements  [tex]{}[/tex]                             Reasons

1. ∠1 is comp. to ∠2  [tex]{}[/tex]               1. Given

2. ∠2 is comp. to ∠3  [tex]{}[/tex]             2. Given

4. m∠1 = 90° - m∠2  [tex]{}[/tex]                4. Subtraction equality property

5. m∠2 + m∠3 = 90°  [tex]{}[/tex]              5. Definition of complementary angles

6. m∠3 = 90° - m∠2  [tex]{}[/tex]                6. Subtraction equality property

7. m∠1 = m∠2   [tex]{}[/tex]                        7. Transitive property

Details of the solution:

Given that ∠1 is complementary to ∠2, we have;

∠1 + ∠2 = 90°

Similarly, by definition of complementary angles, we have;

∠2 + ∠3 = 90°

Which gives;

∠3 + ∠2 = 90°

Therefore;

∠1 + ∠2 = ∠3 + ∠2

Subtracting ∠2 from both sides (subtraction property of equality), gives;

∠1 + ∠2 - ∠2 = ∠3 + ∠2 - ∠2

∠1 + 0 = ∠3 + 0

Which gives;

∠1 = ∠3

Learn more about properties of equality here

https://brainly.com/question/7187454

https://brainly.com/question/11178235

First simplify the equation of parabola y=-5x^2+15x-10 in the following way:

D=(15)^2-4\cdot (-5) \cdot (-10)=225-200=25, \\  \sqrt{D}=5, \\  x_{1,2} = \dfrac{-15\pm 5}{2\cdot(-5)} = 2, 1  \\ -5x^2+15x-10=-5(x-1)(x-2), \\ y=-5(x-1)(x-2).

You can see that if x=1 or x=2, then y=0. Two points of intersection with x-axis are (1,0) and (2,0).

Answer:

A. a triangle with an area of 20 square units

Step-by-step explanation:

note when you cut from top tip to the bottom you will get a triangle with base = 4 and height =10

Area of triangle = 1/2 * base * heighte

Area of triangle = 0.5*10*4

Area of trianle = 20 square units

Answer:

You can prove that they are the same because 2 angles opposite each other are equal the same.

Hope this helps

Answer:

I answered this already for you :) Check your other question

For anyone here who comes from edge.

Consider the reduction of the complex figure with a scale factor of 1 /7 . What is the area of the reduced figure?

The answer is A ; 25 mm2. I got it right on edge

Answer:

x = 16

Step-by-step explanation:

(b)

Since the triangles are similar then the ratio of corresponding sides are equal, that is

[tex]\frac{CB}{DE}[/tex] = [tex]\frac{AC}{AD}[/tex] , substitute values

[tex]\frac{x}{20}[/tex] = [tex]\frac{8}{10}[/tex] ( cross- multiply )

10x = 160 ( divide both sides by 10 )

x = 16

Step-by-step explanation:

The sum of the measures of the two angles is 75° because of the sum of angles in a triangle which means that both angles are acute. This also means that the measure of neither angle is more than 75°.

Answer:

A, B, E

Step-by-step explanation:

both angles are acute

The sum of the measures of the two angles is 75°

The measure of neither angle is more than 75°

Answer:

this is false because 5/18 is equivalent to 10/36

Answer:

see below

Step-by-step explanation:

a) see attached chart

b) sum is 10

There are 3 that total to 10  (4,6)  (5,5) and (6,4)  and there are 36 possible outcomes

P(10) = number of outcomes that sum to 10 / total number of outcomes

        =3/36

        = 1/12

c) identical numbers  There are 6 that are identical (1,1) (2,2) (3,3) (4,4) (5,5) (6,6)

p(identical) = number of outcomes that are identical / total number of outcomes

        =6/36

        = 1/6

d product a multiple of 10 ( 5,2)  (5,4) (5,6)  (2,5)  (4,5) (6,5) are the only ones with a product multiple of 10

p(identical) = number of outcomes that are identical / total number of outcomes

        =6/36

        = 1/6

Answer:

[tex]m\angle B=52^{\circ}[/tex]

Step-by-step explanation:

Two or more angles are said to be complementary if they sum up to 90 degrees.

Given that angles A and B are complementary, then:

[tex]\angle A+\angle B=90^\circ\\m\angle A=(2x+18)^{\circ}\\m\angle B=(6x-8)^{\circ}\\$Therefore:\\(2x+18)^{\circ}+(6x-8)^{\circ}=90^\circ\\2x+6x+18-8=90^\circ\\8x+10^\circ=90^\circ\\8x=90^\circ-10^\circ\\8x=80^\circ\\$Divide both sides by 8\\x=10^\circ\\$Therefore:\\m\angle B=(6x-8)^{\circ}\\m\angle B=(6(10)-8)^{\circ}\\=60-8\\m\angle B=52^{\circ}[/tex]

Answer:

56 :)

Step-by-step explanation:

Answer: 13.12 pounds of the candy that sells for $1.80 per pound 1.88 pounds of the candy that sells for $3 per pound should be in the mixture.

Step-by-step explanation:

Let x represent the number of pounds of the candy that sells for $1.80 per pound that should be in the mixture.

Let y represent the number of pounds of the candy that sells for $3.00 per pound that should be in the mixture.

The total pounds of both candies in the mixture is 15. It means that

x + y = 15

Since he wants to sell the mixture for $1.95 per pound, the cost of the mixture per pound would be 1.95(x + y)

The equation would be

1.8x + 3y = 1.95(x + y)- - - - - - - - - - 1

Substituting x = 15 - y into equation 1, it becomes

1.8(15 - y) + 3y = 1.95(15 - y + y)

27 - 1.8y + 3y = 29.25

- 1.8y + 3y = 29.25 + 27

1.2y = 2.25

y = 2.25/1.2

y = 1.88

x = 15 - y = 15 - 1.88

x = 15 - 1.88 = 13.12

Answer:

the grocer should mix approximately 13.12  pounds of 1st candy.

the grocer should mix approximately 1.88 pounds of 2nd candy.

Step-by-step explanation:

From the given information.

let x represent the pounds of the first candy and y represent the pound of the second candy

We are being told that the grocer wants to sell a total of 15 pounds,

so;

[tex]x+y = 15 \\ \\x= 15-y[/tex]     -----  (1)

also; we are being informed that one kind sells for $1.80  per pound, and the other sells for $3.00 per pound. and he wants to mix a total of 15 pounds and sell it for $1.95 per pound.

So;

[tex]1.80 x + 3y = 15(1.95)[/tex]

[tex]1.80x + 3y = 29.25[/tex]      ------(2)

Replacing equation (1) into 2 ; we have :

1.8(15 - y) + 3y = 29.25

27 - 1.8y + 3y = 29.25

- 1.8y + 3y = 29.25 - 27

1.2y = 2.25

y = 2.25/1.2

y = 1.88

Therefore, the grocer should mix approximately 1.88 pounds of 2nd candy.

Replacing the value of y into equation (1)

x = 15 - y

x= 15 - 1.88

x  = 13.12

Therefore, the grocer should mix approximately 13.12  pounds of 1st candy.

Answer:

24

Step-by-step explanation:

If you go from 2 parts pineapple to 8, thats a 4x increase. Therefore 6x4=24 (6 from the Ginger)

Answer:

y = 1/2x+5

Step-by-step explanation:

You have two points so you can find the slope

m = (y2-y1)/(x2-x1)

m = (8-3)/(6 - -4)

   (8-3)/(6+4)

    5/10

 1/2

The slope intercept form is y = mx+b where m is the slope and b is the y intercept

y = 1/2 x+b

Substitute a point into the equation

8 = 1/2(6)+b

8 = 3+b

b=8-3 = 5

y = 1/2x+5

Answer

k = 3.575.

Step-by-step explanation:

Answer:

4^-10

Step-by-step explanation:

(4^-2)^5

4^-2 x 5

= 4^-10

hope this helped have fun doing school haha

Answer:

[tex]\frac{1}{32768}[/tex]

Step-by-step explanation:

[tex](4^{-2})^{5}[/tex]

[tex](\frac{1}{4^{2} }) ^{5}[/tex]

[tex](\frac{1}{8})^{5}[/tex]

[tex]\frac{1}{32768}[/tex]

Answer:

Step-by-step explanation:

Given the expression [tex]\frac{11}{12}/\frac{1}{3}[/tex], the equivalent expression can be gotten as shown;

[tex]= \frac{11}{12}/\frac{1}{3}\\= \frac{11}{12}*\frac{3}{1}\\ = \frac{11}{4} \\= 2+\frac{3}{4}\\ = 2\frac{3}{4}[/tex]

2 and three-fourth therefore gives the required expression

Answer:

2 and three-fourths

Step-by-step explanation:

Given the expression , the equivalent expression can be gotten as shown;

Step-by-step explanation:

Answer:

38^3+10^2+26x+3 over 18x+1

Step-by-step explanation:

Start by adding x's that are alike together.

4x^3+34x^3= 38^3

then do the same to the other x's

5x^2+5x^2= 10^2

Last x's

13x+13x=26x

For the final equation, you should have

38^3+10^2+26x+3

For the bottom equation, you do the same thing.

4x+14x= 18x

Final equation, really easy, is 18x+1

For the final answer you should have

38^3+10^2+26x+3 over 18x+1

Lmk if it helps!! :)

Answer:

45

Step-by-step explanation:

Since angles 4 and 2 are the same, we will have to do x+30 is = to 2x+15. After that x= 15. Substitute x in x+30. Which results in 45

Answer:

45°

Step-by-step explanation:

Corresponding angles are equal. ∠4 and ∠2 are equal.

[tex]x+30=2x+15[/tex]

Add -x and -15 on both sides of the equation.

[tex]30-15=2x-x[/tex]

[tex]15=1x[/tex]

∠4 = x+30

Put x as 15 in the equation.

[tex](15)+30[/tex]

[tex]=45[/tex]

Answer: 12i + 21

Step-by-step explanation:

You want to apply foil to the first two terms.

You get 3 + 11i - 20i^2. i is equal to the square root of -1, so when you square it, you will get -1. Then do -1 x -20 to get +20

So far you have (11i + 23) - (-i + 2).

Im 99% sure the answer is 12i + 21