This is a 2 part question! Use this information for the open-ended question that follows.

Valery and Manuel ride their bikes 40 miles every Saturday. Valery rides at an average speed of 9.6 miles per hour (mph).

Valery increases her speed by 4% the next time she rides her bike. Her goal is to ride faster than Manuel.

Is the 4% increase enough to ride faster than Manuel? yes or no.

As part of your explanation, identify Valery's new speed. Then explain why or why not she met her goal.

Answer:

i think c

Step-by-step explanation:

Answer:

B)  40.18°

Step-by-step explanation:

since it's a right triangle and you know values for opposite and hypotenuse you can use:

sin x = 12/18.6

this comes out to be 40.18°

Answer:

Step-by-step explanation:

Answer:

13.33 %

23.33 %

Step-by-step explanation:

Simple probability question.

The relative frequency of people who chose comedies, would be 4/30 => 4/30*100 = 13.33 %

The relative frequency of people that chose horror, would be 7/30 => 7/30*100 = 23.33 %

Answer: 3

Step-by-step explanation:

Answer:

D)$660

Step-by-step explanation:

Add all of them up and you get $658.29 the number in the tens place is 5 and the number on the right is 8 so you round up.

PART A:

To find the rate of change, put change in y over change in x. In order to first find the changes, you must subtract two y values from each other and two x values from each other, like this:

Change in y = 20-10

Change in x = 4-2

Then you can put these over each other:

20-10/4-2

Then simplify

20-10/4-2 = 10/2 = 5/1 = 5

So, this means the rate of change is 5. $5 per bushel.

If you also need part B it would be helpful to see the other chart because it's hard to understand in the writing you included. :) Comment and let me know if you post it so I can help you out!

Part A: 7 dollars  

- The graph shows that 2 bushels is 14 dollars,  because the graph has a straight line, the rate remains constant you must divide the sides by two to find the amount for one bushel which would be 7 dollars.

- And to double check you would divide 28 by 4, 42 by 6, 56 by 8, 70 by 10, 84 by 11, and 98 by 12. they all equals 7 dollars So, the equation would be y = 7x.

- 7 can be known as the slope and  rate of change.

Part B:2 dollars

- The years before show 2 bushes was 10 dollars

-so you would divide 10 by two you would get five  To double check you would do the same thing with 20 by 4, 30 by 6 and 40 by 8, and they all equal 5 dollars.

-if you use this answer be sure to reword it so you dont get copy write and integrity. have a great day or night.

Answer:

152

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

Let x be the number added to both numerator and denominator.

Initial fraction=7/17

After adding x to both the numerator and the denominator

Then ,we get fraction=3/5

We have to find the value of x.

According to question

[tex]\frac{7+x}{17+x}=\frac{3}{5}[/tex]

[tex]5(7+x)=3(17+x)[/tex]

[tex]35+5x=51+3x[/tex]

[tex]5x-3x=51-35[/tex]

[tex]2x=16[/tex]

[tex]x=\frac{16}{2}=8[/tex]

Answer:

[tex] A(\triangle ABC) =17.5 \: {units}^{2} [/tex]

Step-by-step explanation:

AB = 4 - (-3) = 4 + 3 = 7 units

BC = 3 - (-2) = 3 + 2 = 5 units

[tex]A(\triangle ABC) = \frac{1}{2} \times AB\times BC \\ \\ A(\triangle ABC) = \frac{1}{2} \times 7\times 5 \\ \\ A(\triangle ABC) = \frac{1}{2} \times 35 \\ \\ A(\triangle ABC) =17.5 \: {units}^{2} [/tex]

Answer:

H²=h²+b²

H²=9²+3²

H²=81+9

H²=90

H=

[tex] \sqrt{90} [/tex]

Answer:

$1.94

Step-by-step explanation:

The Margin on the discounted eggs is $2.392.

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Store cost on a dozen eggs is $0.75,

and retail price is $2.99.

The amount of discount is 10%

Discount given on $2.99

= 10% of 2.99

= 0.1 x 2.99

= 0.299

Cost of eggs after discount =2.99-0.299= 2.691

So, The discounted eggs costs $2.691.

Hence, The difference in store cost and discounted cost = 2.691- 0.299                      

                                                                                               = $2.392

Learn more about unitary method here:

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Answer:

Distance formula = √(x2 - x1)^2 + (y2 - y1)^2

Step-by-step explanation:

(-2, 6) to (3, -2)

3 + 2 = 5^2 = 25 + 64 = 89.

√89

Answer:

6-7 dollars maybe?

Step-by-step explanation:

you didn't give a picture so Im just rounding

(sorry if I'm wrong)

Answer:

y = - [tex]\frac{5}{3}[/tex] x + 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

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

with (x₁, y₁ ) = (- 3, 7) and (x₂, y₂ ) = (6, - 8)

m = [tex]\frac{-8-7}{6+3}[/tex] = [tex]\frac{-15}{9}[/tex] = - [tex]\frac{5}{3}[/tex] , then

y = - [tex]\frac{5}{3}[/tex] x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (6, - 8) , then

- 8 = - 10 + c ⇒ c = - 8 + 10 = 2

y = - [tex]\frac{5}{3}[/tex] x + 2 ← equation of line

Answer:

B

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

x² + 30² = 50²

x² + 900 = 2500 ( subtract 900 from both sides )

x² = 1600 ( take the square root of both sides )

x = [tex]\sqrt{1600}[/tex] = 40 → B

Answer:

[tex]\frac{\sqrt{189x^3y^6} }{\sqrt{3x} } \\= \frac{\sqrt{3^2(7)(3)(x^2)(x)(y^3)^2} }{\sqrt{3x} } \\=\sqrt{\frac{(3xy^3)^2(7)(3x)}{3x} }\\=3xy^3\sqrt{7}[/tex]

Answer: 1 1/4

Step-by-step explanation: 32 1/2 is the same as 32 2/4 so all you have to do is subtract 32 2/4 from 33 3/4 which leaves you with 1 1/4

The algebraic expression that represents the phrase "fourteen increased by a number" is 14 + y. which is the correct answer that would be an option (A).

Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.

The given statement is "fourteen increased by a number"

According to the given question, translate the phrase into an algebraic expression:

⇒ 14 + y

This is because the phrase "increased by" means to add a certain number to 14.

The variable y represents the number that is being added to 14.

Thus, the algebraic expression that represents the phrase "fourteen increased by a number" is 14 + y.

Hence, the correct answer would be option (A).

Learn more about the algebraic expression here :

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Answer:

what you want

1/5x-5+-3=y

Step-by-step explanation:

Answer:

y=1/5x-2

Step-by-step explanation:

(y - y1) = m(x - x1)

y-(-3)=1/5(x-(-5))

y+3=1/5(x+5)

y+3=1/5x+1

y=1/5x+1-3

y=1/5x-2

Answer:

Equal to

Step-by-step explanation:

14/18 is just 7/9 but with the numerator and denominator multiplied by 2

Answer:

equal to

Step-by-step explanation:

14/18 simplified is 7/9

so 7/9=7/9

Answer:

50x.35=17.50

Step-by-step explanation:

multiply length times amount per foot equals total cost

Answer:

D 565.2 in

Step-by-step explanation:

First you need to find the area of the stepping stone. The rule for area of circle is pi times radius squared. To find the radius you divide 12 by 2 = 6. After you do 6 times 6= 36 you multiply 36 times pi (3.14) = 113.04. After we find the are of the stepping stone we multiply it by five to get how many inches we have to cover. 113.04 times 5= 565.2 in.

Answer:

answer is -103

Answer:

60

Step-by-step explanation:

The computation of the rest of the marbles is given below:

Since there is 20 red and 15 white marbles

Also the 3 bags contains same marbles

So if he gives 45 marbles, so the remaining would be

= (20 + 15) × 3 - 45

= 35 × 3 - 45

= 105 - 45

= 60

Answer:

Omar can buy a bunch of pairs of socks.

Step-by-step explanation:

u didnt give me an equation to solve

Answer:

At most of 7

Step-by-step explanation:

Answer:

13x/24-3

Step-by-step explanation:

Answer:

hello! :) have a good day!

[tex]\frac{13x}{24\\} -3[/tex]

Answer:

12,400

Step-by-step explanation:

so what you are going to first is 400 times 31 which is 12,400

Answer:

= 1/x^2

Step-by-step explanation:

Possible derivation:

d/dx(-16 - 1/x + y)

Differentiate the sum term by term and factor out constants:

= d/dx(-16) - d/dx(1/x) + d/dx(y)

The derivative of -16 is zero:

= -(d/dx(1/x)) + d/dx(y) + 0

Simplify the expression:

= -(d/dx(1/x)) + d/dx(y)

Use the power rule, d/dx(x^n) = n x^(n - 1), where n = -1.

d/dx(1/x) = d/dx(x^(-1)) = -x^(-2):

= d/dx(y) - -1/x^2

Simplify the expression:

= 1/x^2 + d/dx(y)

The derivative of y is zero:

= 1/x^2 + 0

Simplify the expression:

Answer: = 1/x^2

Answer:

Before we graph [tex]y = -\frac{1}{2}x,[/tex] we know that the slope, mx, could be read as [tex]\frac{rise}{run}[/tex]. To graph the the equation of the line, we begin at the point (0,0). From that point, because our rise is negative (-1), instead of moving upwards or vertically, we will move downards. Therefore, from point 0, we will vertically move downwards one time. Now, our point is on point -1 on the y-axis. Now, we have 2 as our run. From point -1, we move to the right two times. We land on point (2,-1). Because we need various points to graph this equation, we must continue on. In the end, the graph will look like the first graph given.

For the equation y = 2, the line will be plainly horizontal. Why? Because x has no value in the equation. The variable [tex]x[/tex] does not exist in this linear equation. Therefore, it will look like the second graph below. We graph this by plotting the point, (0,2), on the y-axis.