331 students went on a field trip .six buses were filled and 7 students traveled in cars how many students were in each bus?

The answer would be D. Y=secx

Hope this helps and good luck!

x=Mike's age

y=Dan's age

It is given that,Mike is three years older than dan.

→ x=y+3

If you will draw the graph of the function, it will cut x axis at (3,0) and y axis at (0,-3).

⇒Graph-2

The graph that represents the relationship between Mike's age and Dan's age (y), is Option A with a positive slope of 1.

The relationship between Dan's age and Mike's age can be represented by a linear equation, where Mike's age (x) is three years older than Dan's age (y).

Therefore, the graph that represents this relationship would be a straight line with a positive slope of 1 and a y-intercept of -3.

The equation for this relationship would be:

x = y + 3

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Answer: 26 ft.

Step-by-step explanation:

In the given picture, there is a right triangle.

The legs of the right triangles are 10 ft and 24 ft.

To find the length of hypotenuse, we use Pythagoras theorem, we get

[tex]H^2=10^2+24^2\\\\\Rightarrow\ H^2=100+576\\\\\Rightarrow\ H^2=676\\\\\Rightarrow\ H=\sqrt{676}\\\\\Rightarrow\ H=26\ ft[/tex]

Hence, the length of the hypotenuse = 26 ft.

Scott starts with 25 plus the 100 from his grandfather making 125 then subtract 50 that he traded so you get 75

Answer is provided in the image attached.

Answer: 1 ,5 and 2,6 (D is the correct answer)

3000*.03= 90 so your balance would be 3000+90=$3090

Based on the data set: 21, 23, 19, 25, 83, 23, 21...83 is clearly the outlier

To find the mean, all we have to do is add up all the remaining numbers (since we got rid of the 83) then divide them by how many numbers were added

21 + 23 + 19 + 25 + 23 + 21 = 132

Now we divide 132 by how many numbers were added (6)

132 ÷ 6 = 22

Therefore, the mean of the data set is 22

Hope this helps you

-AaronWiseIsBae

There is a lot to go over here. Unfortunately it looks like you got a lot incorrect. I'll focus on two problems. Hopefully these examples below will help correct the other mistakes.

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Problem 7)

We have the starting value be 20 and the ending value be 11. Subtract the values: (end)-(start) = 11 - 20 = -9. The negative indicates we have a drop or decrease.

We'll focus on the positive version of this number, so 9. Divide this value over the starting amount 20 to get 9/20 = 0.45 = 45%

So going from 20 miles to 11 miles is a decrease of 45%

Answer to problem 7 is: 45%

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Problem 13)

An increase of 300% means we added 3 times the original amount onto the original amount.

We take 300% of 25 to get 3*25 = 75

Which is then added onto 25 to get 25+75 = 100

Answer to problem 13 is: 100

Function 1:

For the given table

[tex]\begin{array}{cc}x&f(x)\\-2&-2\\-1&1\\0&4\\1&7\end{array}[/tex]

you can plot the graph of the function (see first attached diagram). This function is linear and has equation f(x)=3x+4.

Function 2:

For the given function f(x)=-2x+3 you can create a table

[tex]\begin{array}{cc}x&f(x)\\-2&7\\-1&5\\0&3\\1&1\end{array}[/tex]

and plot the graph (see second attached diagram).

Function 3:

For the given graph of the function, you can find the function:

[tex]\dfrac{x-0}{6-0}=\dfrac{y-(-3)}{0-(-3)},\\ \\\dfrac{x}{6}=\dfrac{y+3}{3},\\ \\2(y+3)=x,\\ \\y=\dfrac{1}{2}x-3.[/tex]

Thus, the equation of the function 3 is [tex]f(x)=\dfrac{1}{2}x-3.[/tex]

The table will take a look

[tex]\begin{array}{cc}x&f(x)\\-2&-4\\-1&-3.5\\0&-3\\1&-2.5\end{array}[/tex]

The question deals with linear functions representation.For each given linear representation, create two additional: table values and a graph. Use the given information, like equation or table values or a graph, to calculate other forms.

This assignment deals with creating matching cards for linear functions. For each linear function, you'll need to obtain two additional representations. Firstly, you should find the table of values which means identifying various x and y values that satisfy the function. For instance, if your given function is y = 2x + 3, just substitute different values into x and find the corresponding y-values.

Second is to derive the graph. You can do this by plotting the points you obtained for your table of values on a graph. You'll notice that all these points will fall on a straight line as it is a linear function.

The provided representation will guide you while creating your table and graph. For instance, if you are given the equation, figure out the slope and y-intercept because they're crucial to draw the graph and construct the table.

If presented with the table values, find the rate of change, which will be the slope, and a point on the table which gives you the y-intercept and hence give you an equation. Finally, if given a graph, find two points on the line then apply the slope-intercept form to find your equation and table values.

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 x / x² - 2x - 15 - 4 / x² + 2x - 35

FIND THE FACTOR OF EACH DENOMINATOR

= x / (x-5)(x+3) 

-  4 / (x-5) (x+7)

FIND THE LCD AND MULTIPLY EACH TERM TO ARRIVE AT THE SAME DENOMINATOR.

= x / (x-5)(x+3)  *

(x+7) / (x+7)   -    4 / (x-5) (x+7)  * (x+3)/(x+3)

PERFORM SUBTRACTION

= x2 + 7x / (x-5) (x+3) (x+7)  - (4x + 12) / (x-5) (x+7) (x+3)

= x2 + 7x – 4x – 12 / (x-5) (x+3) (x+7)

this would be your answer = x² + 3x – 12 / (x-5) (x+3) (x+7)

Answer:D

Step-by-step explanation: I just did it on edge

We have 8^(-4) over 8^(-10). The bases are both 8, so we subtract the exponents (numerator minus denominator).

[tex]\frac{8^{-4}}{8^{-10}} = 8^{-4-(-10)} = 8^{-4+10} = 8^{6}[/tex]

The final answer is choice C) 8^6

405,000,000 - 1.7×10^8

= 4.05 × 10^8  - 1.7 × 10^8

= (4.05 - 1.7) × 10^8

= 2.35 × 10^8

Hope it helps

The standard form of an ellipse is

[tex] \dfrac{(x-x_0)^2}{a^2}+\dfrac{(y-y_0)^2}{b^2}=1 [/tex]

Let's try to complete some squares: if we focus on the part involing x, we have

[tex] 9x^2+54x = 9x^2+54x+81-81 = (3x+9)^2-81 = 9(x+3)^2-81 [/tex]

Similarly, for the part involving y, we have

[tex] 4y^2+8y = 4y^2+8y+4-4 = 4(y+1)^2-4 [/tex]

So, the equation becomes

[tex] 9(x+3)^2-81 + 4(y+1)^2-4 - 59=0 \iff 9(x+3)^2+ 4(y+1)^2-81-4-59=0 \iff 9(x+3)^2+ 4(y+1)^2 = 144 [/tex]

Divide both sides by 144 to get

[tex] \dfrac{(x+3)^2}{16}+ \dfrac{(y+1)^2}{36} = 1[/tex]

which is the standard form

Answer:

D

edge

Step-by-step explanation:

If the width is 3 less than the height, we can say that the width is x, and the height is x+3. As the tank is square based, we can say that the length is also x. If the tank has a capacity of 20, this is the volume of the tank. Using the formula for volume, we get (x)(x)(x+3)=20. We multiply this out to get x^3+3x^2=20. If we think this one through, we can realize that 2 works for x, as 8+12 = 20. This means that the dimensions are 2 by 2 by 2+3, or 5.

2/3 belongs to a set of

* Rational numbers

* Real numbers

* Complex numbers

all at the same time

If you want an inequality, it would be 10m≤22 but the sign doesn't have a line under it

(couldn't find the one without the line)

If you want to solve then m≤2.2 and the line isn't under the sign

Answer:

Daniels agent made $40.

Daniel and the agent made a total of $160 from the show.

Step-by-step explanation:

Given:

Let the total amount made from the show  = x

Daniel's agent made = 25% of x

Daniel made = $120

From the question, we know that the total amount is the sume of what daniel and the agent took.

So,

x = 120 + 25% of x

x-0.25x = 120

0.75x = 120

x = 160.

Hence the total amount made from the show is $120.

Daniel's agent made = 25 % of 160

= 0.25*160

= 40

Hence, Daniel's agent made $40 from the show.

Answer:

40

160

Step-by-step explanation:

the lenght of the picture is 14

f(x)=3x+1, range x={4,5,6} --> domain is a set of values {13, 16, 19}

f(x)=x+10, for x={10,4,-6} domain is a set of {4, 14, 20}

we have been given table containing 6 points.

let the numbers at question mark (?) are x and y respectivelly so we can rewrite the table as:

[tex]\left[\begin{array}{cccccc}a&5&6&7&8&9\\b&3.8&4.6&5.4&x&y\end{array}\right][/tex]

In the first row we see that numbers increase by 1 so that clearly means a=4.

Now we need to find the common difference in the outputs to help find the missing outputs in the table.

4.6-3.8=0.8

5.4-4.6=0.8

we are getting common difference of 0.8 so that means missing values can be found by adding or subtracting 0.8 as per their position.

b=3.8-0.8=3

x=5.4+0.8=6.2

y=6.2+0.8=7

Hence the final answer is given by table:

[tex]\left[\begin{array}{cccccc}4&5&6&7&8&9\\3&3.8&4.6&5.4&6.2&7\end{array}\right][/tex]

First : Distributive Property

(1/9∙x)+(1/9∙18)

1/9x+18/9

(1/3∙2x)+(1/3∙3)

1/9x+2+2/3x+1=x+3

Second : Rearrange

1/9x+2/3x-x+3-2-1

Third : Solve!                    :D

-7/9x=0

7/9x=0

x=0

Answer: 3:2

Step-by-step explanation:

Given : An animal shelter currently only has 30 dogs and 20 Cats.

i.e. Number of dogs = 30

Number of cats = 20

Then, the ratio of cats to animals is given by :-

[tex]\dfrac{\text{Number of cats}}{\text{Number of animals}}\\\\=\dfrac{30}{20}\\\\=\dfrac{3}{2} \ \ \text{[By dividing 10 in the numerator and denominator]}[/tex]

Therefore, the ratio of cats to animals = 3:2

Here we are given the speed in meter per second as 8.8 m/s.

Now we have to convert this speed into kilometers per hour.

We are also given :

1 kilometer = 1000 meters and

1 hour = 60 minutes = 3,600 seconds

Now let us convert 8.8 m/s into km/h

1 m/ sec = (1/1000) km / (1/3600) hr

1 m/ sec = 18/5 km /hr

8.8 m/ sec = (18/5) * 8.8 km /hr

8.8 m/ sec = 31.68 km/h

Answer: So the speed in kilometers per hour is 31.68 km/hr. (option C)

The method that is used to solve systems of equations is D. All of the above.

Therefore, the correct option is all of the above.

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