A math book comprises of two sections: arithmetic and geometry in the ratio 5:3. How much of each type of content will be needed to make a book of 480 pages?

Answer:

12

Step-by-step explanation:

Use the slope-intercept form y=mx+b to find the slope m and y-intercept b

.

Slope: 12

y-intercept: (0,−2)

2/3 - 2/5

= 10/15 - 6/15

= 4/15

Answer:

The area is 200.96 in^2

Step-by-step explanation:

Answer:

200.96 in^2

Step-by-step explanation:

circle area formula is πr^2

radius = diameter / 2, radius is 8

8^2.π  = 64π  

π  = 3,14

final answer is 64 X 3.14= 200.96 in^2

Answer:

b

Step-by-step explanation:

i think

Answer: C. (1 + 3i)(1 - 3i)

Step-by-step explanation:

Took the test on edgnuity

Answer:

The person ontop is correct! It is C.

Answer:

The 3rd option

Step-by-step explanation:

Lmk if you need me to explain

Answer:

260

Step-by-step explanation:

Answer:

.5 or 1/2

Step-by-step explanation:

Slope formula - y = mx + b

6x + 2y = 10

subtract x

2y = 10 - 6x

divide all by 2

y = 5 - 3x

y = -3x + 5

5 is the y-intercept, and -3x is the slope

hope this helps :)

Answer:

x = 3

Step-by-step explanation:

The solution to the equation 4x - 9 = 6 - x is x = 1.2 in the decimal form.

Given Equation:

4x - 9 = 6 - x

Add both side x of the equation

4x - 9 +x = 6 - x + x

5x = 6

Now, divide both side by 6 gives

5x/ 5 = 6/5

x = 1.2

Thus, the value of x is 1.2.

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Answer:

8

Step-by-step explanation:

21x+12=180

21x= 168

x=8

Step-by-step explanation:

Both the angles added together create 180 degrees so,

15x+12+6x = 180

21x+12=180

21x=168

x=8

Answer:

Step-by-step explanation:

Find the Parabola with Focus (7,0) and Directrix x=-7 (7,0) x=-7. (7,0) ( 7 , 0 ) x=−7 x = - 7. Since the directrix is horizontal, use the equation of a parabola that opens left or right. ... Find the distance from the focus to the vertex. ... Substitute in the known values for the variables into the equation (y−k)2=4p(x−h) ( y - k ) 2 = 4 p ...

Using the distance formula, the equation of a parabola with directrix y=7 and focus (0,−7) is   [tex]x^2 = -28y[/tex]

The focus = (0, -7)

The directrix:  y  =  7

The distance formula is given as:

[tex](x - a)^2+(y-b)^2= r^2[/tex]

From the focus (0, -7)

a = 0,  b = -7

r  =  y - 7

Substitute a = 0, b = -7 and r = y - 7 into the equation above:

[tex](x - 0)^2 + (y +7)^2 = (y - 7)^2\\\\x^2 + y^2+14y + 49= y^2-14y+49\\\\x^2 = y^2-y^2-14y-14y+49-49\\\\x^2 = -28y[/tex]

Using the distance formula, the equation of a parabola with directrix y=7 and focus (0,−7) is [tex]x^2 = -28y[/tex]

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Answer: 29$

You have to replace h by 5 because we need to know the price for 5hours then you just add everything . I wish it helped you :)

The price to rent a bike for 5 hours by using the equation p(h)= 14 + 3h will be $29.

The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.

Making anything easier to accomplish or comprehend, as well as making it less difficult, is the definition of simplification.

A company rents bikes. The price, p, in dollars, to rent a bike for h hours can be found using the formula p(h)= 14 + 3h.

Then the price to rent a bike for 5 hours will be given as,

p(5) = 14 + 3(5)

Simplify the equation, then we have

p(5) = 14 + 15

p(5) = 29

The price to rent a bike for 5 hours will be $29.

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Answer:

Step-by-step explanation:

Move -7 to the left, so make 7 positive and & move it next to 25

1. 3x = -10x +25+7

combine 25 & 7

2. 3x=-10x+32

move 10 to the side & combine with 3x

3.  3x+10x=+32

4. 13x = 32

lastly divide 32 from 13

Answer:x=32/13

Step-by-step explanation:

Rearrange terms−7+3=−10+25−7+3x=−10x+25

3−7=−10+25

add 7 to both sides of the equation

then Simplify

add 10 to both sides of the equation the

x=32/13

Answer:

B

Step-by-step explanation:

y = [tex]\frac{1}{4}[/tex] is the equation of a horizontal line, parallel to the x- axis.

A line perpendicular to it will be a vertical line parallel to the y- axis with equation

x = c

where c is the value of the x- coordinates the line passes through.

The line passes through (- 6, - 9) with x- coordinate - 6, thus

x = - 6 ← is the equation of the perpendicular line

Answer:

(-5, 3)

Step-by-step explanation:

The midpoint formula: [tex](\frac{x_1 + x_2}{2} , \frac{y_1 + y_2}{2})[/tex]

Now, if we work backwards, starting with the x-coordinate

-2 * 2 = -4 - 1 = -5

Then, the y-coordinate

5 * 2 = 10 - 7 = 3

We reach our answer of (-5, 3). A good habit would be to plug these points back into the formula to check if your answer is correct.

Answer:

D: All real numbers greater than or equal to 0.

Step-by-step explanation:

Answer:

the answer is D

Step-by-step explanation:

just took the test

Students collect cards with equivalent mathematical or verbal expressions on them to make books of cards.  A book is a group of 3 or 4 cards with either equivalent mathematical expressions or equivalent verbal expressions on them. When a player has at least 3 matching cards, he/she may lay down the book of cards.  The object of the game is to be the first to get rid of all the cards in your hand.

Preparation:  The teacher should print enough decks of cards so that one deck per group of 4 students can be distributed.

Shuffle the cards and deal out 7 cards to each player.  Place the remaining cards in a pile (the draw pile) in the center of the table.  Turn one card over to create the discard pile.

On his/her turn, each player will:

Either draw a card from the draw pile OR pick up the top card of the discard pile.  (A player may only pick up the top card of the discard pile if by doing so it creates a book that the player can lay down immediately or it is a card that can be added to an existing book on the table.) 

The player then examines his/her hand to see if there are any sets of three or four that can be laid down. If so, the cards are laid down on the table face up.

If the player does not have any groups to lay down, he/she may lay down a single card if that card can be added to another player’s book that has been laid on the table previously. 

If the player can not put down a book or a single card to add to an existing book, then the player’s turn is over.

At the end of each turn the player must place a card on the discard pile.  If this is the last card in his/her hand, then he/she is the winner!

Play moves to the left in a similar fashion until all the cars have been played or no other cards remain to be drawn and no player can go out.  At that point, the player with the least number of cards in his/her hand is the winner.

Variation:

Students collect cards to make books but can only add a card to a book they have placed on the table themselves.  At the end of the game, the player with the most books is the winner.

uh?

Step-by-step explanation:

sooo what am i gonna do??

Answer:

Your basically supposed to color the parts based on the answering the 8 questions on your paper.

If you do not have an questions, then just color according to the numbers.

BTW I see the word "MATH" hidden.

[tex] \LARGE{ \underline{\underline{ \tt{Required \: answer:}}}}[/tex]

We have,

What to do?

Here's how to do?

Let the no. of weeks be x. Then,

Amount collected by savings = $40x

So, The equation will be:

➝ 125 + 40x = 600

Note:

Answer:

6

Step-by-step explanation:

At summer camp campers are divided into groups

Each group has 16 campers and 2 cabins

Therefore the number of cabins needed for 48 campers can be calculated as follows

16 campers = 2 cabins

48 campers = x

Cross multiply

16 × x = 48×2

16x =96

x= 96/16

x= 6

Hence 6 cabins are needed for 24 campers

Answer:

Her goal : 1350

What she has now: 174

she earns 84$ a month

answer is 14 months because 84* 14 is 1176 and if u add 174 $ to that it will give u 1350.

Step-by-step explanation:

Answer:

43

Step-by-step explanation:

Let

The unit digit = x

The tens digit = y

The number = 10x + y

The tens digit of a two-digit number is five more than the units digit.

y = x + 5

Seven times the sum of the digits of this number is 3 less than the number itself.

7(x + y) = 10x + y - 3

7x + 7y = 10x + y - 3

Find the number.

We substitute x + 5 for y

7x + 7(x + 5) = 10x + (x + 5) - 3

7x + 7x + 35 = 10x + x + 5x - 3

14x + 35 = 11x + 5x - 3

Collect like terms

35 + 3 = 11x + 5x -14x

38 = 16x - 14x

38 = 2x

x = 38/2

x = 19

Solving for y

y = x + 5

y = 19 + 5

y = 24

The number = 19 + 24

= 43

Answer:

The correct answer is 94

Step-by-step explanation:

Answer:hmm I think point d

I’m not to sure ✨

Step-by-step explanation:

Answer:

I think its point E it would make the most sense

Step-by-step explanation:

I'm pretty sure in in the same plane and A,C,G

Answer:

[tex]\frac{32}{33}[/tex]

Answer:

6x2-11x+4

..........

Answer:

No am I right?

Step-by-step explanation:

I can't really explain why but I'm pretty sure it's no

Answer:

yes i think

Step-by-step explanation:

Even though all sides are not congruent a square can be a rectangle.