The ratio of the number of fiction books to the number of non-fiction books in a library is 8:5. There are 678 more fiction books than non-fiction books. How many non-fiction books are there in the library?​

Answer:

x≤-86

Step-by-step explanation:

Step-by-step explanation:

Statements

1.RS tangent to circle A and circle B at point R and point S

2.AR is perpendicular to RS, BS is perpendicular to RS

3.AR is parallel to BS

Reasons

1.Given

2.Radius are perpendicular to tangent

3. 2 lines perpendicular to the same line are parallel to each other

Answer:

(5, 1.5 )

Step-by-step explanation:

Given the 2 equations

5x - 4y = 19 → (1)

x + 2y = 8 → (2)

Multiplying (2) by 2 and adding to (1) will eliminate the y- term

2x + 4y = 16 → (3)

Add (1) and (3) term by term to eliminate y

7x + 0 = 35

7x = 35 ( divide both sides by 7 )

x = 5

Substitute x = 5 into either of the 2 equations and solve for y

Substituting into (2)

5 + 2y = 8 ( subtract 5 from both sides )

2y = 3 ( divide both sides by 2 )

y = 1.5

solution is (5, 1.5 )

Answer:

x=7(y-5)/3 +7

Step-by-step explanation:

y-5=3(x-7)/7

(y-5)×7=3(x-7)

7(x-7)=3(x-7)

7(y-5)/3=x-7

7(y-5)/3+7=x

Answer:

x = -15/8

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define

-7 - 3x = 1x + 4(2 + x)

Step 2: Solve for x

Answer:

79

Step-by-step explanation:  2 4 6 8 are even numbers 1 3 5 7 9 are odds and 79 it the only one that is a odd number

Answer:

5

Step-by-step explanation:

For two lines to be parallel, they must have the same slope

since the slope of the green line is 5, the the red line will have the same slope as the green line,

The slope of the red line will therefore be 5

The answer is 15 because of math and calculator

Answer:

Step-by-step explanation:

Use properties

10.

11.

12.

Ghhikdjdjndkkdkdmddjs hdduuusuid dhshsjjss d

Answer:

5 minutes

Step-by-step explanation:

150-50=100

100/20=5

Answer:

7(9q+7)

Step-by-step explanation:

Hopefully this is helpful to you!

Answer:

The given parameters of the investment are;

The rate of decrease of the investment, r = -10%

The original amount of the investment, P = $75.00

Let 'A' represent the final answer (value of the investment) after the decrease in the investment, 'r', is applied, we have;

The algebraic equation that can be used to arrive at the final answer, 'A', is given as follows;

A = P + r·P

Therefore by substituting the given values, we have;

A = $75.00 + (-10/100) × $75.00 = $75.00 - 0.1 × $75.00 = $75.00 - $7.50

A = $75.00 - $7.50 = $67.50

The final amount or answer, A = $67.50

Step-by-step explanation:

Answer:

1.2*a=180

a=180/1.2

a=150 cm

Step-by-step explanation:

Answer:

a=180

Step-by-step explanation:

Answer:

6 dozens

Step-by-step explanation:

Vanilla, v = x

Chocolate, c = 3x

Strawberry, s = 3 dozens = 36

Total cupcakes = 132

Hence,

x + 3x + 36 = 132

4x = 96

x = 96 / 4

x = 24

Chocolate = 3 * 24 = 72

Dozens of chocolate = 72 /12 = 6 dozens

Answer:

y = 5x - 2

Step-by-step explanation:

The equation at the bottom is already in slope-intercept form, or y = mx + b format. It lacks one missing piece: b, or the y-intercept. However, the slope of the equation must be 5, because the number in place of the m equals the slope.

So, use the point-slope formula [tex]y-y_1 = m (x-x_1)[/tex], and substitute [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex] for real values. From there, we can isolate y to receive the full equation in slope-intercept form.

Since m represents the slope, substitute 5 in its place. Since the [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of a point the line intersects, choose any of the points provided and substitute its values into the formula. (Either one is fine, and I chose (1,3).) From there, isolate y to find the slope-intercept form and answer:

[tex]y-(3) = 5 (x-(1))\\y - 3 = 5(x-1)\\y - 3 = 5x -5\\y = 5x - 2[/tex]

9514 1404 393

Answer:

  15 minutes

Step-by-step explanation:

We can let t represent the time in hours that Kara ran today. Then her distance today is ...

  distance = speed · time

  distance = 6t

Her total distance for both days is ...

  5 + 6t = 6.5

  6t = 1.5 . . . . . . . . . . subtract 5

  t = 1.5/6 = 1/4 . . . . . divide by 6

Kara ran 1/4 hour today. That is 15 minutes.

Answer:

C

Step-by-step explanation:

Let's say you wanted to buy a television. The television cost $200 but you only have $100, so you ask your friend for some money. Your friend says they will give you money but you have to pay them back and pay them interest. So when you go pay them, you pay them $100 dollars along with the amount of money your friend wants you to pay them for borrowing their money. In the end you could end up giving them 120 instead of 100.

C. The charge for the privilege of borrowing money

Hope this helps you and you past your test good luck too you.

Answer:

C, 27 degrees

Step-by-step explanation:

complementary is 2 angles that their measures add to 90 degrees;

90-63=27

27 degrees

uwu

Answer:

the answer is D

Step-by-step explanation:

The common difference of the arithmetic sequence 1, 9/10, 4/5, 7/10 is -1/10.

An ordered group of numbers with a shared difference between each succeeding word is known as an arithmetic sequence.

The given arithmetic sequence is,

1, 9/10, 4/5, 7/10

The first term of the sequence a = 1

The common difference of the arithmetic sequence is the difference between two consecutive terms.

d = 9/10 - 1

d = - 1/10

The common difference of the given arithmetic sequence is - 1/10.

To learn more about Arithmetic sequence on :

https://brainly.com/question/1452631

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Answer:

4x + 3 = 15

4x=15-3

x=12/4

x=3

Answer:

D. (x - 9)(x+5)

Step-by-step explanation:

[tex]x^{2} - 4x - 45[/tex] is your expression, so you have to factor it out. Since from the options available it's clear that the factors of -45 you use are some form of 9 and 5, we can use the process of elimination to figure out which are the correct ones.

First, through FOIL u know that in any factored form the last two terms in each bracket multiply together to make the last term in the expanded form.

So first, look at A. the last two terms are -9 and -5, which = 45 when multiplied together. 45 does not = -45, so it can't be A.

B has 9 and 5. When they're multiplied, they = 45, which does not = -45, so its not B

It can't be C either, because the first term of the first bracket in C is 20, and when multiplied with x it doesn't produce x^2.

Therefore it has to be D. u can check this by multiplying -9 and 5, which = -45, the final term in the expanded form. Also, -9 + 5 = -4, which is the middle term of the expanded form.

The equivalent expression to x² - 4x - 45 is (x - 9)(x + 5), which corresponds to option A.

To factor the quadratic expression x² - 4x - 45, we need to find two binomials that, when multiplied, give us the original expression.

We look for two numbers whose product is -45 (the coefficient of the constant term) and whose sum is -4 (the coefficient of the linear term, -4x). After some exploration, we find that the numbers -9 and 5 satisfy these conditions.

Thus, we can express x² - 4x - 45 as (x - 9)(x + 5). This is because when we multiply the two binomials (x - 9) and (x + 5) using the distributive property, we obtain the original quadratic expression.

This factored form, (x - 9)(x + 5), represents the equivalent expression to x² - 4x - 45.

To learn more about the quadratic equation;

https://brainly.com/question/17177510

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Answer:

If Carter bikes 1/4 mile in 5/6 minutes, he bikes 1/4 mile in 50 seconds. (5/6 of a minute is equal to 50 seconds)

At this rate, if Carter bikes 1/4 mile in 50 seconds, he will be able to bike 2/4 of a mile in 100 seconds, 3/4 of a mile in 150 seconds, and a whole mile (4/4) in 200 seconds.

Converting 200 seconds to minutes, we have that it takes Carter 3 1/3 minutes to bike 1 mile.

Let me know if this helps!

Answer: Option B

Step-by-step explanation:

Answer:400

Step-by-step explanation

in order to find slope you put the change in y over the change in x, y gains 1200 units while x gains 3 units, this means we get 1200/3 and we can simplify it to 400

Answer:

400

Step-by-step explanation:

We can use the formula [tex]\frac{rise}{run}[/tex] to find slope!

So first we find points on the graph. The first point we see is 600. The second point we see is 1,400. Next, we find the rising distance between 1,400 and 600 which is 800. Now we look at the running distance which is 2. Now we plug it into the [tex]\frac{rise}{run}[/tex] formula.

The formula should now look like this:

[tex]\frac{rise}{run}\\[/tex] = [tex]\frac{800}{2}[/tex]

[tex]\frac{800}{2}[/tex] = 400

So the slope is 400

I hope this helped you! (If you can would you mark me as brainliest I would really appreciate it!)

Sincerely,

Rekifromsk8theinfinity

:D

Answer:

$60.19

1.) 85.99 x 0.30

2.) 25.797 - 85.99

3.) 60.193

4.) round

$60.19

Hope this helped!

Answer:

John is paying $60.19 for the boots after 30%off.

Step-by-step explanation:

$60.193 or $60.19

Answer: 1

Anything to the 0 power is 1

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

As you may already know, the number (the base) to the power (the exponent) is how many times you multiply the base. For instance:

3² = 3 * 3

3³ = 3 * 3 * 3

However, anything to the zeroth power is 1.

Why?

Well, for those above examples, take 3², you can also write it as:

3² = 1 * 3 * 3

It's just 1 times how many of that number. In 3 squared, there are twos 3's, not to be confused with 3 * 2.

In 3 to the zeroth power, there are zero 3's:

3° = 1

Now it has only the one.

This is just the way I was taught to think about it, but I'm sure there's a better explanation than mine.