Shawna rented a bike from Arjun's Bikes. It cost $14 plus $3 per hour. If Shawna paid $32 then she rented the bike for how many hours?

Answer:

[tex]y = 2 \sqrt{5} [/tex]

Step-by-step explanation:

[tex]y^{2} = ef = 5 \times 4 = 20[/tex]

[tex]y^{2} = 20[/tex]

[tex] \sqrt{y} = \sqrt{20} [/tex]

[tex]y = 2 \sqrt{5} [/tex]

Answer: 3 4/9 and 4 19/29

Step-by-step explanation: Mixed fractions can be converted into improper fractions. Example: 3 1/2=

3×2+1= 7/2

So, 3 4/9= 3×9+4= 31/9

4 19/29= 4×29+19= 135/29

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An improper fraction is one in which the numerator is bigger than the denominator, which means the value of the fraction is more than ' 1 ' .

Bob petered out after only 3/8 of an hour. This number is less than ' 1 ', so if it's left in the form of hours, it can't be an improper fraction.  If Bob wants his effort to look more impressive, he might try to describe his performance as 22.5 minutes. THAT number could be written as an improper fraction, (45/2 minutes), but somebody would be sure to notice his trick, and they would laugh at him.

Tina and Hadley both ran longer than 1 hour, so both of them could write their times directly as improper fractions, without any deceptive monkey business.

Tina . . . 3-4/9 hours . . . 31/9 hours

Hadley . . . 4-19/29 hours . . . 135/29 hours    

Answer:

D. Pyramid

Step-by-step explanation:

A. cone does not have any triangular faces

B. does not have any triangular faces either

C. Prism may have triangular faces if it is a triangular prism but they do not meet at a vertex

Therefore it must be D.

A pyramid is a solid has a base that is a polygon and triangular faces that meet at a vertex.

A pyramid is a three-dimensional shape. A pyramid has a polygonal base and flat triangular faces, which join at a common point called the apex. A pyramid is formed by connecting the bases to an apex.

Pyramids :-

A pyramid is defined as a three-dimensional structure encompassing a polygon as its base. The Great Pyramid of Giza, which is structured in the same concept. Every corner of this structure is linked to a single apex which makes it appear as a distinct shape.

A pyramid is a three-dimensional shape. A pyramid has a polygonal base and flat triangular faces, which join at a common point called the apex. A pyramid is formed by connecting the bases to an apex. Each edge of the base is connected to the apex, and forms the triangular face, called the lateral face. If a pyramid has an n-sided base, then it has n+1 faces, n+1 vertices, and 2n edges.

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Answer:

35 degrees

Step-by-step explanation:

a triangle has 180 degrees so 70 + 75 + x = 180

solve for it and you get 35 degrees.

Answer:

x = 35

Step-by-step explanation:

We know that the sum of all the angles inside a triangle is 180°. We can solve for x by setting up the simple equation x + 70° + 75° = 180°

You would then use subtraction to get x by itself by subtracting 70° and 75° from the left and right side of the equation.

This would leave you with the answer, x = 35°

Answer: 198 tickets

Step-by-step explanation: 1584/8 = 198

Answer:

Herb-Catherine-Amy

Step-by-step explanation:

Answer:

Herb-Catherine-Amy

Step-by-step explanation:

Answer:H

Step-by-step explanation:

Y= (x+2)^2-5

2 to the left x+2=0 x=-2

5 dpwn

Answer:

h

Step-by-step explanation:

Answer:

The other rational number is [tex]\dfrac{14}{27}[/tex].

Step-by-step explanation:

First rational number is [tex]\dfrac{-2}{3}[/tex]

Let other rational number is [tex]\dfrac{x}{y}[/tex]

The product of two rational numbers is [tex]\dfrac{-28}{81}[/tex]

According to question,

[tex]\dfrac{x}{y}\times \dfrac{-2}{3}=\dfrac{-28}{81}[/tex]

Multiplying both sides by (-3/2) such that,

[tex]\dfrac{x}{y}\times \dfrac{-2}{3}\times \dfrac{-3}{2}=\dfrac{-28}{81}\times \dfrac{-3}{2}\\\\\dfrac{x}{y}=\dfrac{14}{27}[/tex]

So, the other rational number is [tex]\dfrac{14}{27}[/tex].

Answer:

The other rational number is . 14

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

4 x 5-10+30-20+30-25+5                     BODMAS

20+20+10-20

50-20

30

Answer:

1 % decrease

Step-by-step explanation:

The percent of decrease time can be written as the expression [tex]\frac{200}{200}-\frac{198}{200} = \frac{2}{200}.[/tex] Now, we convert the fraction into a decimal: [tex]\frac{2}{200} = \frac{1}{100} = 0.01.[/tex] We can convert this decimal into a percentage: 0.01*100 = 1%.

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Answer:

Exterior angle = 72⁰

As polygon is regular , each interior angle = 180⁰ - 72⁰ = 108⁰

Number of sides :

As the sum of exterior angles is 360⁰ :

n × 72⁰ = 360⁰

n = 360/72 = 5

Answer:

The mean of the temperatures is 13.5 without the outlier.

Step-by-step explanation:

To find the mean, you add all of the numbers in your data set and divide that  by how many numbers you added.

Before we do this, we must first identify the outlier and remove it from our calculations since it is asking us to find the mean without it. 41 is the outlier because it is a considerably larger number than the other numbers in the data set.

Equations: 11 + 11 + 13 + 14 + 15 + 17 = 81

                  81 ÷ 6 = 13.5

Answer:

14

Step-by-step explanation:

Graph all the points on a coordinate grid. Two sides are 4 units each and the other two sides are 3 unites each.

P = 2(l + w)

P = 2(3 + 4)

P = 6 + 8 ← (The distributive property) OR 2(7) ← (Normal way to solve)

P = 14 units and 14 units.

You could also do addition.

P = 3 + 3 + 4 + 4

P = 6 + 8

P = 14 units

Hope this helped!

Answer:

3/8 inches

Step-by-step explanation:

The postcard must be less than 4 1/2 inches high.

Elayne's postcard is 4 7/8 inches high.

We need to subtract the limit from the height of her postcard to know how high it is above the limit:

4 7/8 - 4 1/2 = 3/8

Her postcard is higher than the limit by 3/8 inches.

The answer is 3/4 or 1 1/2 inches.

Answer:

B ( 432 units^2)

Step-by-step explanation:

Total surface area= 2*(6*6)+ 4*(15*6)

There are 2 squares at each end of the same size so total area will be 2*(6*6)

If we look at the rectangles( bottom, top and the sides), we can see that all are of same dimensions and there are 4 of them so it's 4*(15*6)

In short, total surface area= 2*(6*6)+ 4*(15*6) = 432 units^2

We have been given that that function [tex]y=3(x-5)^2[/tex] is obtained from the graph of [tex]y=x^2[/tex]. We are asked to find the two transformations that can be used to obtain the transformed function.

We will use transformation rules to solve our given problem.

[tex]f(x-a)\Rightarrow\text{Graph shifted to the right by a units}[/tex], where a is any positive number.

We can see that the value of a is 5 for our given function, therefore, graph is shifted to right by 5 units.

Now we will use scaling rules.

[tex]f(x)\Rightarrow a\cdot f(x)[/tex]

If [tex]a>1[/tex], then function is stretched vertically by a factor of 'a'.

If [tex]a<1[/tex], then function is compressed vertically by a factor of 'a'.

We can see that value of a is 3. Since 3 is greater than, so function will be stretched vertically by a factor of 3.

Therefore, the function can be obtained by a vertical stretch and translation of 5 units to right and option J is the correct choice.

Answer:

This would be 40.03. The 4 is in the tens place and the 3 is in the hundredths place.

Step-by-step explanation:

Answer:

0.43

Step-by-step explanation:

Answer:

[tex]141.37cm^3[/tex]

Step-by-step explanation:

[tex]V=\pi r^2h=\pi *3^2*5\\=141.37cm^3[/tex]

Answer:

x=17

Step-by-step explanation:

to find x use this

[tex]\frac{x}{2} =8.5[/tex]

x=8.5*2=17

Answer:

x=17

Step-by-step explanation:

To solve the equation, we want to find out what x is. In order to do this, we have to get x by itself. Perform the opposite of what is being done to the equation. Keep in mind, everything done to one side, has to be done to the other.

x/2=8.5

x is being divided by 2. The opposite of division is multiplication. Multiply both sides by 2.

2*x/2=8.5*2

x=8.5*2

x=17

To check the solution, substitute 17 in for x in the original equation.

Original equation: x/2=8.5

Substitute 17 in for x: 17/2=8.5

17/2=8.5

8.5=8.5

This is true, so we know that x is equal to 17.

Answer:

The teacher will have 5 pints left.

Step-by-step explanation:

One pint has 16 fluid ounces, therefore if the teacher got 18 pints he has a total of:

lake water = 18*16 = 288 fluid ounces

If each student use 4 fluid ounces, and there are 52 students the class will use:

used = 52*4 = 208 fluid ounces

And the remainder will be:

remainder = 288 - 208 = 80 fluid ounces

remainder = 80/16 = 5 pints

The teacher will have 5 pints left.

Answer: 1120

Step-by-step explanation:

20/5=4

280x4=1120

Answer:

each side is by 5

Answer:

44

Step-by-step explanation:

because it looks like a square tilted

Answer:

see below

Step-by-step explanation:

Vertical lines have the same x coordinates

The slope is given by

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

The x values are the same

m = (y2-y1)/(x-x)

m = (y2-y1)/ 0

Any number, except 0, divided by 0 is undefined

Answer:

Square

Answer A is correct

Answer:

A- square is the answer

Answer:

All of the choices.

Step-by-step explanation:

A rational number is one that can be represented by the ratio of two integers. In other words, if you can write the number as a fraction of two whole numbers, then it is a rational number.

All of these numbers can be written this way. Therefore, all of the numbers seen are rational.

Answer:

opposites

Step-by-step explanation:

Answer:

(6n+7)(n+1)

Step-by-step explanation:

Use the cross-multiplication method:

[tex]6n^2 + 13n + 7=(6n+7)(n+1)[/tex]

Answer:

(6n+7)(n+1)

Step-by-step explanation:

6n^2 + 13n + 7

Must multiply to 42 and add to 13:

7 and 6

(6n^2+6n)(7n+7)

6n(n+1)7(n+1)

(6n+7)(n+1)

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Answer:

__2_sides of equal length

__2_acute angels

__0_right angle(s)

_1__obtuse angle

The triangle is _isosceles____and_obtuse____.

Step-by-step explanation:

if this is the right triangle the longest side will be √162≈ 12.7

the longest side is 15 so the vertex angle is obtuse