Mia bought 8 copies of the same book. She spent $32.
What was the cost of one book?

Answer:

[tex]\frac{5}{12}[/tex]

Step-by-step explanation:

To find a rational number by the mean method.

Add the 2 fractions and divide the result by 2

[tex]\frac{1}{2}[/tex] + [tex]\frac{1}{3}[/tex]

To add the fractions we require them to have a common denominator.

The LCM of 2 and 3 is 6 ← required common denominator

Multiply numerator/denominator of first fraction by 3

Multiply numerator/denominator of second fraction by 2

= [tex]\frac{1(3)}{2(3)}[/tex] + [tex]\frac{1(2)}{3(2)}[/tex]

= [tex]\frac{3}{6}[/tex] + [tex]\frac{2}{6}[/tex] ( add numerators, leaving denominator )

= [tex]\frac{5}{6}[/tex]

Now divide by 2

[tex]\frac{5}{6}[/tex] ÷ 2 leave first, change division to multiplication, turn second upside down )

= [tex]\frac{5}{6}[/tex] × [tex]\frac{1}{2}[/tex]

= [tex]\frac{5}{12}[/tex]

This is the fraction midway between the 2 given fractions

Answer:

45

Step-by-step explanation:

Answer:

45 idrk

Step-by-step explanation:

SCOOBY-dooby-do-la-de-da-de-da

9514 1404 393

Answer:

  2

Step-by-step explanation:

The slope can be found from the slope formula:

  m = (y2 -y1)/(x2 -x1)

  m = (1 -3)/(4 -5) = -2/-1

  m = 2

The slope of the line is 2.

Answer:

2

Step-by-step explanation:

ΔY = 1 – 3 = -2

ΔX = 4 – 5 = -1

two negatives make a positive

Answer:

The solution is ([tex]\frac{7}{12}[/tex] , [tex]\frac{67}{6}[/tex])

Step-by-step explanation:

∵ y = 14x + 3 ⇒ (1)

∵ y = 2x + 10 ⇒ (2)

→ Equate equations (1) and (2) to find x

∵ 14x + 3 = 2x + 10

→ Subtract 2x from both sides

∴ 14x - 2x + 3 = 2x - 2x + 10

∴ 12x + 3 = 10

→ Subtract 3 from both sides

∴ 12x + 3 - 3 = 10 - 3

∴ 12x = 7

→ Divide both sides by 12 to find x

∵ [tex]\frac{12x}{12}[/tex] [tex]\frac{7}{12}[/tex]

∴ x = [tex]\frac{7}{12}[/tex]

→ Substitute the value of x in equation (1) or (2) to find y

∵ y = 2([tex]\frac{7}{12}[/tex]) + 10

∴ y = [tex]\frac{7}{6}[/tex] + 10

∴ y = [tex]\frac{67}{6}[/tex]

∴ The solution is ([tex]\frac{7}{12}[/tex] , [tex]\frac{67}{6}[/tex])

Answer:

Step-by-step explanation:

Equation of the line for container O and container P will be in the form of,

y = mx + b

Here m = slope of the line = Change in amount of water per minute

b = y-intercept

From the graph attached,

y-intercept 'b' represents the initial amount of water in the container.

For container O, initial amount of water in the container is 1000 mL.

Similarly, initial amount in the container is 900 mL.

Given:

Polynomial is [tex]3x^2+15x-56[/tex].

To find:

The sum of given polynomial and the square of the binomial (x-8) as a polynomial in standard form.

Solution:

The sum of given polynomial and the square of the binomial (x-8) is

[tex]3x^2+15x-56+(x-8)^2[/tex]

[tex]=3x^2+15x-56+x^2-2(x)(8)+8^2[/tex]    [tex][\because (a-b)^2=a^2-2ab+b^2][/tex]

[tex]=3x^2+15x-56+x^2-16x+64[/tex]

On combining like terms, we get

[tex]=(3x^2+x^2)+(15x-16x)+(-56+64)[/tex]

[tex]=4x^2-x+8[/tex]

Therefore, the sum of given polynomial and the square of the binomial (x-8) as a polynomial in standard form is [tex]4x^2-x+8[/tex].

Answer:

I think it's the 2rd equation

Answer: 2y-2

Step-by-step explanation:

Y represents the number

If you were to solve this you would have to do 2 times a number which is shown by 2y.

Then, you need to subtract 2 from 2y.

Therefore, the answer is 2y-2

The expression for the given verbal expression is 2y-2.

Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.

Given is a verbal expression, Two less than two times a number.

We need to convert it into mathematical expression,

Let the number be y,

Therefore, two times a number = 2y

And Two less than = -2

Therefore,

Two less than two times a number = 2y-2

Hence, the expression for the given verbal expression is 2y-2.

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Answer:

Step-by-step explanation:

since this has something to do with chance im guessing maybe percentage of winnign this

so

4/14 x 100 so 28.57% probability of winning this game i believe

Exact answer as a fraction = 1/91

Approximate answer in decimal form = 0.010989

Approximate answer in percent form = 1.0989%

=====================================================

Explanation:

Let's think of the problem another way.

Let's say that we have 14 ping pong balls labeled 1 through 14. Furthermore, lets set up the first four balls {1,2,3,4} to be labeled with a star sticker. The rest don't have a star. The star stickers indicate a winning ball. All of the ping pong balls are then put into a bag where we will randomly pull out 3 of them. Replacements will not be made (ie the ball won't be put back). The goal is to get 3 star stickers in a row.

One possible combination is {1,2,7} which is close but not a winner since that 7 is there. Another possible combination is {5,8,12} which is not even close to a winner (since we didn't get 1,2,3 or 4).

---------

We have two questions we need to answer:

We'll use the nCr combination formula

[tex]_nC_r = \frac{n!}{r!*(n-r)!}[/tex]

We use the combination formula, instead of the permutation formula, because order does not matter. Something like {1,2,7} is the same as {7,1,2}.

If you plug in n = 14 and r = 3, you should find that 14 C 3 = 364.

I'll list the steps in the attached image below (to save space here).

This means there are 364 different ways to play the game. In other words, there are 364 ways to pull out three ping pong balls.

---------

That wraps up question 1. Now onto question 2.

We have 4 winning balls and 3 slots to fill, so we will plug n = 4 and r = 3 into the combination formula. I'll skip the steps because they're fairly similar to earlier. You could also use Pascal's Triangle to help. Whichever method you use, you should find that 4 C 3 = 4.

note: we have 4 winning balls and 3 slots to fill, so you can think of it like "how many ways are there to not choose a ball?" and that answer would be 4.

So this means there are 4 ways to win the game.

------------------------------------

In summary so far, we found

This means the probability of winning is 4/364 = 1/91

Use your calculator to find that 1/91 = 0.010989 approximately which converts over to the approximate percentage of 1.0989%

Answer:

The Watermelon candies cost 13 more cents then the chocolate.

Step-by-step explanation:

$3.48 divided by 12 is 29 cents

$1.28 divided by 8 is 16 cents

Subtract 16 from 29 and get 13

If Lickety Sweet's Candy Store sells candy by the ounce. Maura paid $3.48 for a 12-ounce bag of hard watermelon candies and $1.28 for an 8-ounce bag of chewy chocolate candies, then she paid 13 more cents for watermelon candies cost per ounce than the chocolate candies

Two or more expressions with an Equal sign is called as Equation.

Given,

Lickety Sweet's Candy Store sells candy by the ounce.

For 12-ounce bag of hard watermelon candies Maura paid $3.48

For 8-ounce bag of chewy chocolate candies Maura paid $1.28

Let us find cost of each watermelon candie

$3.48 divided by 12

3.48/12=29 cents

$1.28 divided by 8

1.28/8=16 cents

Subtract 16 from 29 and get 13

29-16=13

Hence 13 cents more do the watermelon candies cost per ounce than the chocolate candies

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Answer:

Step-by-step explanation

sadly i dont understand

Answer:

386m/s is the answer to your question

Answer:

Step-by-step explanation:

sub in all your x values into the linear equation it gives you

once you have your table you should be able to figure out the rest if the questions !!

Answer:

Step-by-step explanation:

Area formula

Given

Then the area is:

Answer:

90%

Step-by-step explanation:

You can make the votes simple by dividing 8 on 80 and 72

80 becomes 10

72 becomes 9

You can do this because we done the same thing to both sides

now it is Yoko got 9 out of 10 and we know 9 out of 10 is 9/10 or 90/100 which mean Yoko got 90% of the club members vote

Answer:

90%

Step-by-step explanation:

You can make the votes simple by dividing 8 on 80 and 72

80 becomes 10

72 becomes 9

You can do this because we done the same thing to both sides

now it is Yoko got 9 out of 10

and we know 9 out of 10 is 9/10 or 90/100 which mean Yoko got 90% of the club members vote

Hope this helps!

Answer:

answer is b

Step-by-step explanation:

Answer:

4 ÷ 7 = 0.571428

Step-by-step explanation:

4 ÷ 7 = 0.571428

Answer:

y = -3

Step-by-step explanation:

The equation of the line is y = -x -2

We plug in the given x value into the equation to find y.

y = -(1) - 2

Simplify.

y = -3

Answer:

he will have 28 pieces

Step-by-step explanation:

75*3=250

250/8=28

Answer:

√89

Step-by-step explanation:

I assume you have to find the short cut, right?

5² + 8² = 25 + 64 = 89 = ( √89 )²

Answer:

three  consecutive numbers that add up to 84 are 27,28 and 29

Step-by-step explanation:

27+28=55

55+29-=84

Answer:

A

Step-by-step explanation:

8.5 x 8.5= 72.25

so basically it's the closest answer

Answer:

Wellll

Step-by-step explanation:

Answer:

To the nearest tenth of a meter, this is 3,309.4 m

Step-by-step explanation:

Here, we want to convert the jogging distance to meters only

we have 2 miles 120.3 yards

5,280 ft = 1 mile

2 miles will be 5,280 * 2 = 10,560 ft

3 ft = 1 yard

x ft = 120.3 yards

x = 120.3 * 3 = 360.9 ft

Adding both together to give ft only, we have

360.9 + 10,560 = 10,920.9 ft

1 m = 3.3 ft

x m = 10,920.9 ft

x = 10,920.9/3.3

x = 3,309.363636363636

To the nearest tenth of a meter, this is 3,309.4 m

Answer:

-r ^3

Step-by-step explanation:

Answer:

[tex]P(A\ n\ B) = 6\%[/tex]

Step-by-step explanation:

Given

[tex]P(A) = 0.2[/tex]

[tex]P(B) = 0.3[/tex]

Required

Determine [tex]P(A\ n\ B)[/tex]

Since both events are independent;

[tex]P(A\ n\ B) = P(A) * P(B)[/tex]

[tex]P(A\ n\ B) = 0.2 * 0.3[/tex]

[tex]P(A\ n\ B) = 0.06[/tex]

Convert to %

[tex]P(A\ n\ B) = 0.06 * 100\%[/tex]

[tex]P(A\ n\ B) = 6\%[/tex]

Given:

Total number of people who signed up = 76

Each boat can transfer = 9 peoples

To find:

The number of boats required.

Solution:

We know that,

[tex]\text{Required number of boats}=\dfrac{\text{Total number of peoples}}{\text{Number of peoples transferred by each boat}}[/tex]

On substituting the values, we get

[tex]\text{Required number of boats}=\dfrac{76}{9}[/tex]

[tex]\text{Required number of boats}=8.44...[/tex]

Number of required boats must be a whole number. So, approximate the data to the next whole number.

[tex]\text{Required number of boats}=9[/tex]

Therefore, the required number of boats is 9.

Answer: 4 1/4

Step-by-step explanation:

8 5/8

-4 3/8

4 2/8 or 4 1/4

2x²-3xy-2y²-2x-11y-12

Write -3xy as a difference

2x²+xy-4xy-2y²-2x-11y-12

write -2x as a difference

2x²+xy-4xy-2y²+4x-6x-11y-12

Write -11y as a difference

2x²+xy-4xy-2y²+4x-6x-8y-3y-12

Factor out 2x from the expression

2x×(x-2y-3)+xy-2y²+4x-8y-3y-12

Factor out y from the expression

2x×(x-2y-3)+y×(x-2y-3)+4x-8y-12

Factor out 4 from the expression

2x×(x-2y-3)+y×(x-2y-3)+4(x-2y-3)

Factor out x-2y-3 from the expression

Answer: (x-2y-3)x(2x+y+4)

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