Type the correct answer in each blank. Use numerals instead of words. If necessary, use / for the fraction bar(s).
Charlie runs a book rental business. He currently charges $3 per book and rents out an average of 38 books a day.

According to a study, for every 50¢ increase in rental price, the average business can expect to lose 4 rentals a day.

Complete the equation that models this scenario, where b(x) is the revenue generated and x is the number of 50¢ price increases.

b(x) = -____x2 + ____x + _____

Answer:

$24000

Step-by-step explanation:

so we can make an algebraic equation with these values

21000=7/8x

divide both sides by 7

3000=1/8x

multiply both sides by 8

x=24000

Answer:

...

Step-by-step explanation:

Answer:

which language is this.. sorry I didn't understood

Answer:

Step-by-step explanation:

The first cat eats 1/15 of a bag per minute.

The second cat eats 1/10 of a bag per minute.

Together, they eat 1/15 + 1/10 = 1/6 of a bag in one minute.

Hence both can eat [tex]\frac{2x+3y}{30}[/tex]

when we form equations  out of given statements and then solve them to obtain answer are said word problems.

Given cat x can eat treat = 15 mints

cat x in 1 mint= x/15

given cat y can eat treat = 10 mints

cat y in 1 mint= y/10

hence both cats if eat together =[tex]\frac{x}{15} +\frac{y}{10}[/tex]

=[tex]\frac{2x+3y}{30}[/tex]

hence both can eat [tex]\frac{2x+3y}{30}[/tex].

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Given:

The figure of a right angle triangle.

To find:

The value of y.

Solution:

If a right angle triangle,

[tex]\cos \theta=\dfrac{Adjacent}{Hypotenuse}[/tex]

In the given right triangle,

[tex]\cos (30^\circ)=\dfrac{4\sqrt{3}}{y}[/tex]

[tex]\dfrac{\sqrt{3}}{2}=\dfrac{4\sqrt{3}}{y}[/tex]

[tex]\sqrt{3}\times y=2\times 4\sqrt{3}[/tex]

[tex]\sqrt{3}\times y=8\sqrt{3}[/tex]

Isolate the y variable.

[tex]y=\dfrac{8\sqrt{3}}{\sqrt{3}}[/tex]

[tex]y=8[/tex]

Therefore, the value of y is 8.

Answer:

26/21 = 1 5/20 = 4

Answer:

26/21

Step-by-step explanation:

Answer:

[tex] \frac { 5\sqrt{21} }{ - 7} [/tex]

Step-by-step explanation:

Firstly, let find some some other trig functions. We need to know all sides to know other trig functions. We know the horizontal side is -7 because it x-axis is at -7, it y-axis is at 24. so it vertical side is 24. Then we use the pythagorean theorem to find r

[tex] {7}^{2} + {24}^{2} = {r}^{2} [/tex]

49+576=

[tex] {c}^{2} [/tex]

525=c^2

[tex] \sqrt{525} = 5 \sqrt{21} [/tex]

So since we know that x= -7, y=24, r= 5 times sqr root of 21. We can find some trig functions. We can use function cosine here. Cosine equals

[tex] \frac{x}{r} [/tex]

cos=

[tex] \frac{ - 7}{5 \sqrt{21} } [/tex]

then we find secant which is the reciprocal of cos so we flip the numbers and that equals

[tex] \frac{5 \sqrt{21} }{ - 7} [/tex]

Answer:

x² + 9x + 14 can be factored as (x+2)(x+7)

Step-by-step explanation:

The general form is ax² + bx + c. If a=1, then you can start looking for two numbers that multiplied give c and added give b.

14 = 2*7

and

9 = 2+7

hence the easy factorization

(x+2)(x+7)

Keep in mind that it only works if a=1.

Answer:

( + 2 ) (x+7 )

Step-by-step explanation:

Use the sum-product pattern   2 + 9 + 1 4 2 + 7 + 2 + 1 4 2

Common factor from the two pairs   2 + 7 + 2 + 1 4 ( + 7 ) + 2 ( + 7 ) 3

Rewrite in factored form   ( + 7 ) + 2 ( + 7 ) ( + 2 ) ( + 7 )

Answer:

523

Step-by-step explanation:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the 10.

5.23 x [tex]10^{2}[/tex]

Scientific Notation: 5.23 x [tex]10^{2}[/tex]

Expanded Form: 523

good luck, hope this helps :)

9514 1404 393

Answer:

  y = -3/2x +4

Step-by-step explanation:

The line crosses the y-axis at y = 4. The coordinates of that point are (0, 4). This is the "start."

The line crosses a grid intersection again 2 units to the right and 3 units down at the point (2, 1).

The slope is the ratio of the vertical change to the horizontal change:

  m = -3/2

Now, you have the information required to fill in the equation:

  y = -3/2x +4

The geometric series that converges is II. 0.3 + 0.12 + 0.048 + 0.0192 ( Option A).

To determine whether a geometric series converges, we need to check if the common ratio (r) of the series lies between -1 and 1 (inclusive). If the absolute value of r is less than 1, the series converges; otherwise, it diverges.

Let's check each series:

I. 2.9 - 3.19 + 3.509 - 3.8599

To find the common ratio, we divide each term by the previous term:

r = (-3.19) / 2.9 ≈ -1.1 (diverges)

II. 0.3 + 0.12 + 0.048 + 0.0192

To find the common ratio, we divide each term by the previous term:

r = 0.12 / 0.3 = 0.4 (converges)

III. 4 - 16 + 64 - 256

To find the common ratio, we divide each term by the previous term:

r = -16 / 4 = -4 (diverges)

So, the convergent geometric series is II. 0.3 + 0.12 + 0.048 + 0.0192.

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Answer:

Rational.

Step-by-step explanation:

Since it can be put into a fraction, negative or positive it is clearly rational. Irrational numbers are numbers we can never know the true value because they repeat forever (pi for example)

Answer:

rational number

Step-by-step explanation:

hope this helps...yo

Answer:

( 32/y ) - 6

Step-by-step explanation:

okay so quotient means the result obtained by dividing one quantity by another and the problem that follows that is 32 and a number, y

this is meaning that 32 and y and going to be dividing (32/y)

less than means subtraction and the number that's surrounding that is 6.

this means that 6 is going to be subtracted from (32/y)

hopefully this helped! good luck bud <3

Answer:

11.5

Step-by-step explanation: Since there is 1.15 land miles in one nautical mile you multiply 1.15 by 10 to find how many land miles are in 10 nautical miles.

The number of land miles there in 10 nautical miles will be 11.5.

Multiplication is the general procedure in mathematics in which we multiply two or more numbers by each other to find a new multiplied number.

If and only if the number being multiplied is more than one, multiplication produces a resultant number that is significantly larger than the original number.

As per the given,

One nautical mile = 1.15 land miles

In 10 nautical miles = 1.15 x 10 = 11.5 land miles

Hence "The number of land miles there in 10 nautical miles will be 11.5".

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Answer:

3x+2-10-3x

Terms: ONE b/c 3x +2-10-3x

3x-3x+2-10

-8

Like terms:3x and 3x

Coefficient:3

Constant:2 and -10

hope it's helpful ❤❤❤

THANK YOU.

❤

Answer:

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Answer:

2.5x = 75

Step-by-step explanation:

Answer:

7.) 7

10.)  0

Step-by-step explanation:

When it means "evaluate the function", it's in essence asking us to see what the function spits out when we feed it a certain input. Our inputs are our x values, which spit out a y value.

Evaluating the function when x = 1:

Let's look at where the function has an x value of 1. We see it near the bottom of the table and see the y value associated with the input is 7. So when the function is fed 1 as an input, it spits out 7.

Evaluating the function when f(x) = - 2:

This one is a weird because of the new notation. Just think of it as some value of f, which we don't know (so we represent it as an x-variable) must equal -2. So let's look at our table to find out where our output is -2. We find that when f(x) = -2 the input is 0. So the input which gives -2 is 0.

Answer:

Step-by-step explanation:

I believe Brandon is incorrect. a > 12 means that you have to be older than 12 to use the gym but that is not true. You have to be at least 12 years old. This means you can be 12 and still go to the gym. You can represent this by using the expression a > 12.

Answer:

y = -x + 2

Step-by-step explanation:

The slope is negative, so you can immediately eliminate all other options. The line travels down 2 y and over 2 x, -2/2 is simplified down to -1x or -x.

Step-by-step explanation:

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Answer:

y = 95° (being corresponding angle)

it is very easy.

you can also do

Answer:

The value of y is 110 degrees

Step-by-step explanation:

-we know that the Angle sum property of a quadrilateral is 360 degrees.

- so we can find the 4th angle

- and find y through the linear pair method.

The fourth angle=70 degrees

And y=180-70=110(Linear pair)

Answer:

(-1,2)

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Answer:

$37.00

Step-by-step explanation:

7x5=35

35+2= 37

now I want some tacos XD

Answer:

Travis spent $37.00 at the taco store

Step-by-step explanation:

5x$7=$35.00

$35+$2=$37.00

Answer:

the answer is 42.

Step-by-step explanation:

(8)(5)−8+(2)(5)

=42

Answer:

1: 42

2: 107.6 °F

Step-by-step explanation:

For question 1 you insert the x and y values into the expression:

8 × 5 = 40 (xy = 40)

40 - 8 = 32 (xy - x = 32)

2 × 5 = 10 (2y = 10)

32 + 10 = 42 (xy - x + 2y = 42)

For question two you insert the celsius value into the expression:

9/5 × 42 = 75.6 (9/5C = 75.6)

75.6 + 32 = 107.6 (9/5C + 32 = 107.6)

Answer:

X= 5, -2

Step-by-step explanation:

This would be the answer if you are looking to "solve"

Answer: it weighs 1.3lbs and i dont know how to explain it

Answer:

8 remainder 4

Answer:

x=80

Step-by-step explanation:

80 pounds of fertilizer will cover 120 square feet of lawn. :]

Answer:

x=80

Step-by-step explanation:

this is the answer am i right