Perry has already taken 8 pages of notes on his own, and he will take 1 page during each
hour of class. After attending 33 hours of class, how many total pages of notes will Perry
have in his notebook?

Answer:

Option 2: none of these

Step-by-step explanation:

-x +2y= 4

x-intercept occurs at y=0.

When y=0,

-x +2(0)= 4

-x= 4

x= -4

Thus, x-intercept is (-4,0).

y-intercept occurs at x=0.

When x=0,

0 +2y= 4

2y= 4

y= 4 ÷2

y= 2

Thus, y-intercept is (0,2).

*When writing coordinates, the x and y coordinates are separated by a comma in the bracket. If the 3rd option is a comma instead of a dot (which could instead denote a multiplication sign), it would be the correct option.

The line is parallel so it has the same slope as the other line, -4.

Substitute the x and y variables with the given points and find the y-intercept.

(-8, 6)

y = -4x + b

6 = -4(8) + b

6 = -32 + b

6 + 32 = b

38 = b

So the equation is:

y = -4 + 38

The line is parallel so it has the same slope as the other line, -4.

Substitute the x and y variables with the given points and find the y-intercept.

We have given that,

An equation of a line passing through (-8, 6) and parallel to the line y=-4x - 1

(-8, 6)

y=mx+b

Where m is the slope

y = -4x + b

6 = -4(8) + b

6 = -32 + b

6 + 32 = b

38 = b

So the equation is y = -4 + 38.

To learn more about the equation visit:

https://brainly.com/question/2972832

#SPJ2

Answer:

7 ft

Step-by-step explanation:

16-9=7

Step-by-step explanation:

Given that,

The side lengths of a triangle are 5,3 and 4.

For a right triangle, the Pythagoras theorem is applicable. We know that, for a right triangle,

[tex]H^2=b^2+h^2[/tex]

Where

H is Hypotenuse

b is base

h is perpendicular height

If we put b = 3. h = 4, then

[tex]H^2=3^2+4^2\\\\H^2=9+16\\\\H=5[/tex]

Hence, it will form a right triangle.

Answer: we need 3 cups of white paint and 5 of yellow paint if we want to make 1 batch.

Step-by-step explanation:

I suppose that each one of these squares represents one cup of the given color.

(the white squares represent the cups of white paint and the yellow squares represent the number of cups of yellow paint)

We know that for 3 batches of the paint, we need:

9 cups of white paint.

15 cups of yellow paint.

Now, if we only want to do one batch, then we should use one-third of these numbers of cups. (Because with that we make 3 batches, and one-third of 3 batches is one batch)

Originally, we use 9 cups of white paint, then for one batch we need one-third of 9 cups, this is:

9/3 = 3

Then we should use 3 cups of white paint.

And for the yellow paint, we originally use 15 cups, one-third of 15 is:

15/3 = 5

Then we should use 5 cups of yellow paint.

We can conclude that we need 3 cups of white paint and 5 cups of yellow paint if we want to make 1 batch.

This would be represented with 3 white squares and 5 yellow squares.

Answer: The final answer is 30.

Step-by-step explanation: The question says the ratio is 2 boys : 3 girls. There are 18 girls. Well, how did you get from 3 to 18? You multiply by 6. But whatever you do to the denominator you have to do with the numerator. So, multiply 2 and 6. That gives you 12 boys and 18 girls. Adding 12 and 18 gives you 30. Therefore, there are 30 students in the whole class.

Step-by-step explanation:

2^400=2^(2×200)

2^(2×200) =[2^(2) ]^200

Now, [2^(2) ]^200=4^200

The power  of 2 in 400! is 397.

Let p is the prime number whose power is to be found

Let n is the factorial number then

p in n! = (n /p) + (n/p²) +(n/p³) + .......

until Numerator < Denominator

and after division only the integer part is taken

Therefore to determine the power of 2 in 400!

2 in 400! = (400 /2) + ( 400 /2²) + (400 /2³) +(400 /2⁴) +(400 /2⁵) +(400 /2⁶) +(400 /2⁷) +(400 /2⁸) + above this N < D

2 in 400! = 200 +100 +50+25+12+6+3+1

2 in 400 = 397

Therefore the power  of 2 in 400! is 397.

To know more about power of prime in Factorial

https://brainly.com/question/4680412

#SPJ2

Answer:

probably A

Step-by-step explanation:

the two triangles are congruent because of the angle side angle postulate

Step-by-step explanation: To find the exponent, we look at the expression again and see how much of the same number or fraction is repeated. Since the main number is 1/9 and there are 3 fractions repeating it, the exponent is [tex]\frac{1}{9} ^3[/tex] or 1/9 to the 3rd power.

Down is a formula I made!

Main number: 1/9

Repeating how many times: 3

Expression: [tex]\frac{1}{9} ^3[/tex]

Therefore, 1/9 to the 3rd power is 1/729.

[tex]\frac{1}{9}^3=\frac{1}{729}[/tex]

Note: The questioner did not ask for the answer. I wanted to add it anyway for future reasons.

Answer:

18%

Step-by-step explanation:

First, we need to find out the underage of 15 for walking/biking. 152-65=87

then we subtract 87 and 60 from 165 to get 18%

Answer:

zx ≅ ab

Step-by-step explanation:

took the test

Answer:

3.9

Step-by-step explanation:

bshwhsbwjwwjusushs

Answer:

A simple exponential function to graph is y=2x . Notice that the graph has the x -axis as an asymptote on the left, and increases very fast on the right. Changing the base changes the shape of the graph. Replacing x with −x reflects the graph across the y -axis; replacing y with −y reflects it across the x -axis.

Answer:

Lower Quartile = 25.5

Upper Quartile = 61.5

IQR = 36

Step-by-step explanation:

Given data is:

5, 12, 17, 23, 28, 31, 37, 41, 42, 49, 54, 58, 65, 68, 73, 71

The lower quartile is the first quartile and upper quartile is the third quartile.

A median divides the data set in two equal halves.

Lower quartile also known as first quartile is the middle value in the first half.

The first half is:

5, 12, 17, 23, 28, 31, 37, 41

As the number of values is even, the quartile will be the average of two middle values

[tex]Q_1 = \frac{23+28}{2} =\frac{51}{2}= 25.5[/tex]

Upper quartile is the average of middle two values in the second half when the number of values is even.

42, 49, 54, 58, 65, 68, 73, 71

[tex]Q_3 = \frac{58+65}{2} = \frac{123}{2} = 61.5[/tex]

Interquartile range is the difference of third quartile and first quartile

[tex]IQR = Q_3 - Q_1 = 61.5-25.5=36[/tex]

Hence,

Lower Quartile = 25.5

Upper Quartile = 61.5

IQR = 36

Answer:Sorry but none where c there e but no c .

But it would be 16c +2f +13 .

Step-by-step explanation:you need to combine like terms

which are 13c +3c =16c and 9f- 7f=2f and 15-2 =13 .

Hope it helps .

Answer:

ok Naruto

Step-by-step explanation:

49.6

Answer:

associative property

Step-by-step explanation:

The associative property states that you can add or multiply regardless of how the numbers are grouped. By 'grouped' we mean 'how you use parenthesis'. In other words, if you are adding or multiplying it does not matter where you put the parenthesis. Add some parenthesis any where you like

Answer:

560 cubes

Step-by-step explanation:

Is 2 213 supposed to read 2 1/3? First calculate the volume of the box

V_box = 8/3 * 10/3 * 7/3 = 560/27 cubic inches

Now calculate the volume of your 1/3 inch cube:

V_cube = 1/3 * 1/3 * 1/3 = 1/27 cubic inches

Now divide the V_box by V_cube:

Number of boxes = (560/27) / (1/27) = (560/27) * (27/1) = 560 cubes

Answer:

subtraction is less

Step-by-step explanation:

Answer:

2n+7

Step-by-step explanation:

find the difference

and see the difference from the 2 Times table to the original sequence

and write it as an equation for this sequence

Answer:

A

Step-by-step explanation:

Answer:

(5,-1)

x=5

y= -1

Step-by-step explanation:

To solve this we're going to solve for one variable in either equation

so we have

x+y=4

We can subtract y and 4 from both sides to get

x-4= -y

Then divide by -1 so that y will be a positive number

-x+4=y

We can plug this in for y in the other equation

2x -2(-x+4)=12

Distribute the -2 and get

2x+2x-8=12

Combine like terms and add 8 to get

4x=20

divide and get x=5

Plug in x=5 into the first equation to get

5+y=4

subtract 5 to get y= -1

Our answer is (5,-1) or x=5 y= -1

I checked this on desmos and the math is correct

Answer:

The solution to the system of equations will be:

x = 5, y = -1

Step-by-step explanation:

Given the system of equations

x + y = 4

2x - 2y = 12

Isolate x for x + y = 4:    x = 4 - y

substitute x = 4 - y in the equation 2x - 2y = 12

2(4-y) - 2y = 12

8 - 2y - 2y = 12

8 - 4y = 12

4y = 8 - 12

4y = -4

divide both sides by 4

4y/4 = -4/4

y = -1

substitute y = -1 in x + y = 4

x + y = 4

x + (-1) = 4

x - 1 = 4

x = 5

so

(x, y) = (5, -1)

Therefore, the solution to the system of equations will be:

x = 5, y = -1

Answer:

Step-by-step explanation:

:(

Answer:

Step-by-step explanation:

5x + y = 9

-10x + 7y = 18

10x + 2y = 18

-10x + 7y = 18

9y = 36

y = 4

5x + 4 = 9

5x = 5

x = 1

(1,4)

answer is D

Answer:

4,5 miles

Step-by-step explanation:

60*2=120

120/12=10

1 mile every 10 minutes

45/10=4,5

Answer:

The solution to the equation [tex]\frac{1}{4}x+2=\frac{-5}{8}x-5[/tex] is [tex]\mathbf{x=-8}[/tex]

Option A is correct option.

Step-by-step explanation:

What is the solution to the equation [tex]\frac{1}{4}x+2=\frac{-5}{8}x-5[/tex]

Solving the equation

[tex]\frac{1}{4}x+2=\frac{-5}{8}x-5[/tex]

Subtracting 2 on both sides

[tex]\frac{1}{4}x+2-2=\frac{-5}{8}x-5-2\\\frac{1}{4}x=\frac{-5}{8}x-7[/tex]

Adding 5/8x  on both sides

[tex]\frac{1}{4}x+\frac{5}{8}x=\frac{-5}{8}x-7+\frac{5}{8}x\\\frac{2x+5x}{8}=-7 \\\frac{7x}{8}=-7[/tex]

Multiply both sides by 8/7

[tex]\frac{7x}{8}\times \frac{8}{7}=-7 \times \frac{8}{7}\\x=-8[/tex]

So, we get x = -8

The solution to the equation [tex]\frac{1}{4}x+2=\frac{-5}{8}x-5[/tex] is [tex]\mathbf{x=-8}[/tex]

Option A is correct option.

Answer:

350 ml

Step-by-step explanation:

70% of 500 ml = 0.7*500 ml = 350 ml

Answer:

350 ml

Step-by-step explanation:

70% of 500 ml = 0.7*500 ml = 350 ml

Answer:

 -4

Step-by-step explanation: