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3 years ago

The average cost of 3 books 3:2:5 is $50. How much does each book cost?

Mathematics

1 answer:

Nina [5.8K]3 years ago

3 0

Step-by-step explanation:

We have to find what one share is

we have 3 shares + 2 shares + 5 shares

so he have a total of 10 shares

next, we divide 50 by total shares to get what one share is

50 ÷ 10 = 5

5 is one share

fins what each is

for 3

3 shares so 3 fives

3 × 5 = 15

for 2

2 shares so 2 fives

2 × 5 = 10

and for 5

can you work it out and leave in the comments i will say if it is correct

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A bucket has 16 inches of water in it but there is a hole in the bottom. Use interval notation to write the domain and range of

Dennis_Churaev [7]

Answer: range: {0in, 16in}

domain {0min, 12.8 min}

Step-by-step explanation:

When we have a function:

f(x) = y.

The range is the set of possible values of y and the domain is the set of all the possible values of x.

In this case, our function is:

H(x) = 16 - 1.25*x

which is a linear equation, and we know that the linear equations are defined (for range and domain) in the set of all the real numbers, but this is a physical situation, so we must see at the real problem.

The bucket can not have more water than the initial amount, 16 inches, so this is the maximum in the range.

The minimum height of water that we can find in the bucket is 0 inches (so the bucket is empty) then this is the minimum of the range.

Then we can write the range as:

R: 0in ≤ y ≤ 16in. = {0in, 16in}

Now we can find the extremes of the domain by using the extremes of the range:

y = 16 = 16 - 1.25*x

0 = -1.25*x

then we have x = 0min, this will be the minimum of the domain.

Now using the minimum of the range y = 0 we have:

y = 0 = 16 - 1.25*x

1.25*x = 16

x = 16/1.25 = 12.8 mins

This is the maximum time in the domain (because after this time, there is no water in the bucket)

Then the domain is:

D: 0min ≤ x ≤ 12.8 min

5 0

3 years ago

The expression 12x+8 represents the perimeter of a square write 12x+8 as a product then tell what expression represents one side

Pani-rosa [81]

Answer:

Step-by-step explanation:

Find the greatest common factor of 12x + 8

4(3x + 2) so one side is 4 and the other is 3x + 2

5 0

2 years ago

Is the solution of this equation extraneous?

UkoKoshka [18]

Answer:

x = - 3 is extraneous

Step-by-step explanation:

Given

$\sqrt{x+7}$ - 1 = x ( add 1 to both sides )

$\sqrt{x+7}$ = x + 1 ( square both sides )

x + 7 = (x + 1)² ← distribute right side

x + 7 = x² + 2x + 1 ( subtract x + 7 from both sides )

0 = x² + x - 6 ← in standard form

0 = (x + 3)(x - 2) ← in factored form

Equate each factor to zero and solve for x

x + 3 = 0 ⇒ x = - 3

x - 2 = 0 ⇒ x = 2

As a check

Substitute these values into the equation and if both sides are equal then they are the solutions.

x = - 3 : $\sqrt{-3+7}$ - 1 = $\sqrt{4}$ - 1 = 2 - 1 = 1 ≠ - 3

x = 2 : $\sqrt{2+7}$ - 1 = $\sqrt{9}$ - 1 = 3 - 1 = 2

x = 2 is a solution and x = - 3 is extraneous

6 0

3 years ago

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Pre-election survey showed that two out of three eligible voters would cast ballots in the county election. There are 240,000 el

lana [24]

Answer:

360,000

Step-by-step explanation:

2/3 ÷ 240,000 = 2/3 ×1/240,000 = 1/3 × 1/120,000 = 3×120,000= 360,000

4 0

3 years ago

Read 2 more answers

PLEASE PLEASE HELP THE OTHER BRAINLY ANSWERS WERE WRONG IM BEING TIMED

barxatty [35]

Answer:

A table?

Step-by-step explanation:

fingers crossed this is right

7 0

3 years ago