At a certain movie theater, the ratio of length to width of the movie screen is 16:9. If the

length of the screen is 90 feet, then, to the nearest foot, how many feet is its whdth?

Answer:

First, we can write:

x = 2 . ¯ 3

Next, we can multiply each side by  10 giving:

10 x = 23 . ¯ 3

Then we can subtract each side of the first equation from each side of the second equation giving:

10 x − x = 23 .¯ 3 − 2 . ¯ 3

We can now solve for  x  as follows:

10 x − 1 x = ( 23 + 0 . ¯ 3 ) − ( 2 + 0 . ¯ 3 )  ( 10 − 1 ) x = 23 + 0 . ¯ 3 − 2 − 0 . ¯ 3  

9 x = ( 23 -2 ) + ( 0 . ¯ 3 − 0 . ¯ 3 )  

9 x = 21 + 0

9 x = 21

9 x /9 = 21 /9

9 x /9 = 3 × 7 /3 × 3

x = 3 × 7 /3 × 3

x = 7 /3

Hope this helps!

Plz mark brainliest! ☜(ﾟヮﾟ☜)

Answer:

  £67.50

Step-by-step explanation:

On each metre of material, the shop makes a profit of ...

  £6.90 -4.65 = £2.25

So, for 30 metres, the profit will total ...

  30 × £2.25 = £67.50

A profit of £67.50 would be made on a 30-metre roll of material.

Answer:not true

Step-by-step explanation:

To say not true we need only one example so we can take x as -5

[-5]= [-5+1]

5 not equal with 4

Answer:

The answer is A pls mark me brainly

Answer:

The last option

Step-by-step explanation:

When you have a fraction as a power, the denominator goes to the root, so in this case, it becomes root 4. The base, 5, goes to the outside, and the numerator 1, goes beside the x.

Hope this helps!

Answer:

-13

Step-by-step explanation:

f(-2) = 3(-2) - 7

f(-2) = -6 - 7

f(-2) = -13

f(-2) means to replace x with -2 in the equation and solve:

3(-2) - 7 = -6 - 7 = -13

The answer is -13

Answer:

54

Step-by-step explanation:

see attached

Answer:

1.83

Step-by-step explanation:

The standard deviation of given data set rounded to the hundredth place is 2.55

Given data set is: 9, 11, 12, 16

The mean of the data set is 12.

The formula for standard deviation is written as:

[tex]\sigma = \sqrt{{\sum^\:n}_{i=1}{\dfrac{(x_i-\overline{x})^2}{n}}\\[/tex]

here n = 4 and x assumes 9, 11, 12 and 16 and mean is 12, thus putting values in the given formula,

[tex]\sigma = \sqrt{\dfrac{[(9-12)^2 + (11-12)^2 + (12-12)^2 + (16-12)^2]}{4}}\\\sigma = \sqrt{\dfrac{[3^2 + 1^2 + 4^2]}{4}}\\\sigma = \sqrt{\dfrac{26}{4}}\\\sigma = \sqrt{6.5}\\\sigma = 2.549..\\\sigma \approx 2.55[/tex]

Thus, standard deviation of given data set rounded to the hundredth place is 2.55

Learn more here:

https://brainly.com/question/12402189

Answer:

x=-5

Step-by-step explanation:

-5+2=(-3)

-3*(-1)= 3

Answer:

x=-5

Step-by-step explanation:

(x+2)/-1 = 3

Multiply each side by -1

(x+2)/-1 * -1 = 3*-1

x+2 = -3

Subtract 2 from each side

x+2-2 = -3-2

x = -5

Answer:

C) C < 4

Step-bay-step explanation:

> means "greather than"

< means "less than"

The only statement that is true:

C) C< 4

Answer:

Domain : any real number

Range : y ≥0

Step-by-step explanation:

The domain is the values that x can be

X can be any real number

The range is the values the y can be

Y can be zero or any positive value since y = x^2

Domain : any real number

Range : y ≥0

Answer:

[tex]\boxed{\sf Option \ A}[/tex]

Step-by-step explanation:

[tex]y=x^2[/tex]

[tex]\sf The \ domain \ of \ a \ function \ is \ all \ possible \ values \ for \ x.[/tex]

[tex]\sf There \ are \ no \ restrictions \ on \ the \ value \ of \ x.[/tex]

[tex]\sf The \ domain \ is \ all \ real \ numbers.[/tex]

[tex]\sf The \ range \ of \ a \ function \ is \ all \ possible \ values \ for \ y.[/tex]

[tex]\sf When \ a \ number \ is \ squared \ the \ result \ is \ always \ greater \ than \ or \ equal \ to \ 0.[/tex]

[tex]\sf The \ range \ is \ \{y:y\geq 0\}[/tex]

Answer:Her score is 26

Step-by-step explanation:

To find the answer, we must deduct the total amount of points that are answered correctly

By the total amount of points that are answered incorrectly.

Because = 1 answered correctly = 4 points

= 1 answered incorrectly = deduct 7

points

So= 87 answered correctly × 4 points

= 348 points

So= 46 answered incorrectly × 7 points

=deduct 322 points

Then the answer will be= 348 - 322= 26

Hope this helps!

Answer & Step-by-step explanation:

Let's start with the first problem.

1.) 9a⁴b⁴ - 27a³b³

Now, we have to find a number or a term that can be divisible by both terms in the expression. 9 and 27 have a common factor of 9. a⁴b⁴ and a³b³ have a common factor of a³b³. So, let's use this information to find our answer.

The GCF of the expression is 9a³b³

Now, let's do the second problem.

2.) x² - 36

For this problem, we have to factor out the expression. Since this a perfect square binomial, we can just square the terms and that will give us our answer.

The factored form of this expression is (x + 6)(x - 6)

Lastly, let's do the third problem.

3.) x² + 7x + 10

For this problem, we are going to have to factor again. First, we can break down the middle term so we can factor the expression.

x² + 2x + 5x + 10

Now, we pair the first two terms together and the last two term together.

(x² + 2x) + (5x + 10)

Now, we factor each parentheses by finding the common factor between them.

x(x + 2) + 5(x + 2)

Since, our terms are the same in each parentheses, then that means we have factored correctly.

The factored form of this expression is (x + 5)(x + 2)

Answer:

14.1

Step-by-step explanation:

Use tan to help:

~Divide

6/1 ÷ 2/3

6/1 * 3/2

18/2 or 9

So, she can cut 9 two third sections of ribbon.

Best of Luck!

Answer:

6

Step-by-step explanation:

3x - 5 = 13

3x = 18 (Add 5 to both sides; 13 + 5 = 18)

x = 6 (Divide both sides by 3; 18 / 3 = 6)

Answer:

-196

Step-by-step explanation:

Di sini, berdasarkan urutan aritmatika, kita ingin mencari nilai dari suku ke-22 ditambah suku ke-20.

Dari urutan tersebut, kita bisa membuat beberapa potongan.

Suku pertama a dari barisan tersebut adalah -18 Perbedaan persekutuan d = -22 - (- 18) = -22 + 18 = -4

Untuk menghitung suku ke-20, kita menggunakan rumus untuk suku ke-n dari sebuah barisan, di mana n = 20

U20 = a + (20-1)

d U20 = -18 + 19 (-4) = -18 - 76 = -94

U22 = a + (22-1) d

U22 = -18 + 21d U22 = -18 + 21 (-4) U22 = -18 - 84 = -102 Jadi;

U22 + U20 = -102 + (-94) = -196

Answer:

Mean

Step-by-step explanation:

mean is the average of numbers put together and divided by the total amount of numbers, when finding the average annual income using the mean would be most effective

Answer:

Each shade has a 22.5 degree angle from the middle

Each unshaded has a 67.5 degree angle from the middle.

Step-by-step explanation:

You can solve this by making each unshaded part equal to x and each shaded part equal 1/3x it is a circle so it has to equal 360 so you end up with:

x + 1/3x + x + 1/3x + x + 1/3x + x + 1/3x = 360

Combine Like terms:

16/3x = 360

Multiply both sides by the opposite:

(3/16) (16/3x) = (360) (3/16)

x=135/2 or x=67.5

Then you can plug 67.5 in for x:

1/3x ---> 1/3(67.5) = 22.5

Answer:

AB=18 units.

Step-by-step explanation:

So, one of the angle measures is 6x. Since the shape is an equilateral triangle, this means that all the angles measure 6x. In other words, the total measure of the three angles is 6x+6x+6x=3(6x) or 18x. Recall that a triangle has a total interior angle sum of 180. Therefore, set 18x to 180 and solve for x:

[tex]18x=180\\[/tex]

Divide both sides by 18:

[tex]x=10[/tex]

Therefore, x is equal to 10.

Now, since this is an equilaterial triangle, all three side lengths are the same. Thus, AB=BC=AC. We know that BC is equal to x+8. Find BC:

[tex]BC=x+8\\BC=(10)+8\\BC=18[/tex]

And since all the side lengths are equivalent, this means that side AB is also 18 units.

Answer:

See below.

Step-by-step explanation:

The 3 angles in the triangle add up to 180 degrees

Also, as all 3 sides are equal, all 3 angles are also equal and each has the value 180/3 = 60 degrees.

So 6x = 60

x = 10.

Now AB = BC = x + 8

Therefore AB = x + 8

= 10 + 8

= 18.

Answer:

See below.

Step-by-step explanation:

(a)

To multiply two polynomials, multiply every term of the first polynomial by every term of the second polynomial. Then combine like terms.

[tex] (\dfrac{1}{2}x - \dfrac{1}{4})(5x^2 - 2x + 6) = [/tex]

[tex] = \dfrac{1}{2}x \times 5x^2 - \dfrac{1}{2}x \times 2x + \dfrac{1}{2}x \times 6 - \dfrac{1}{4} \times 5x^2 + \dfrac{1}{4} \times 2x - \dfrac{1}{4} \times 6 [/tex]

[tex]= \dfrac{5}{2}x^3 - x^2 + 3x - \dfrac{5}{4}x^2 + \dfrac{1}{2}x - \dfrac{3}{2}[/tex]

[tex] = \dfrac{5}{2}x^3 - \dfrac{9}{4}x^2 + \dfrac{7}{2}x - \dfrac{3}{2} [/tex]

(b)

No. Since the binomials are different, the product of two different binomials and the same trinomial will give different results.

Answer:

where is the diagram

Answer:

Step-by-step explanation:

Let the points be A and B

A ( 7 , 5 ) ⇒( x₁ , y₁ )

B ( 2 , 4 )⇒( x₂ , y₂ )

Now, let's find the slope of the line which contains these points:

Slope = [tex] \mathsf{\frac{y2 - y1}{x2 - x1} }[/tex]

plug the values

⇒[tex] \mathsf{ \frac{4 - 5}{2 - 7} }[/tex]

Calculate

⇒[tex] \mathsf{ \frac{ - 1}{ - 5} }[/tex]

Reduce the fraction with -1

⇒[tex] \mathsf{ \frac{1}{5} }[/tex]

Hope I helped!

Best regards!

Answer:

4.44 pints

Step-by-step explanation:

7.4 times 3/5

Answer:

Step-by-step explanation:

1). [tex]\frac{1}{2}g-4=2g-\frac{1}{2}g+4[/tex]

  [tex]\frac{1}{2}g-4=\frac{3}{2}g+4[/tex]

 Since left side of the given equation is not equal to the right side, there will be one solution to the given equation.

2). -2.1b + 5.3 = b - 3.1b + 5.3

   -2.1b + 5.3 = -2.1b + 5.3

Since left side of the equation is exactly same as right side of the equation.

Equation will have infinitely many solutions.

3). [tex]\frac{3}{4}w+\frac{5}{4}=\frac{10}{4}-\frac{3}{4}w[/tex]

  [tex]\frac{3}{4}w+\frac{5}{4}=\frac{5}{2}-\frac{3}{4}w[/tex]

Since left side of the given equation is not equal to the right side, there will be one solution to the given equation.

4). 5.7c - 1.5 + 3.2c = 7.8c - 1.5 + 1.1c

   8.9c - 1.5 = 8.9c - 1.5

 Left side of the equation is same as right side of the equation.

Therefore, there will be infinitely many solutions of the equation.

Answer:

C and f

Step-by-step explanation:

Hope this helps

Answer:

c

Step-by-step explanation:

Answer:

A. Proper fractions have a greater numerator than denominator.

Answer:

$228.80 paid for rent.

Steps:

Divide the percentage by 100.

26/100=0.26

Multiply this amount by the principal amount, 880.

880*0.26=228.8 is 26% of 880

Answer:

26% of 880

= (26 x 880 )  /  100

= 228.80 ($)

Step-by-step explanation:

Have attached some composite functions completed to show you the whole unit. Hope it helps. The 2nd and third one are part of the same answer.

The forth one attached may help you most.

Answer:

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

Step-by-step explanation:

First, let's find how many total items there are in the box.

If there are 20 oranges and 10 grapes, then there are [tex]20+10=30[/tex] items in the box.

Now, if there are 10 grapes in this box, we know that the probability of picking a grape is [tex]\frac{10}{30}[/tex] because the total is the denominator and the number of items for that selection is the numerator.

We can simplify this fraction down to [tex]\frac{1}{3}[/tex].

Hope this helped!

Answer:

1/3

Step-by-step explanation:

Answer: -3

Add 1 to both sides

[tex]3x-1+1=8+1[/tex]

[tex]3x=9[/tex]

Divide both sides by 3

[tex]3x/3=9/3\\x=3[/tex]

The total is 100 cartons.

So, if there are 27 remained, that's means that 73 milk cartons were taken (100 - 27 = 73).

The ratio is [tex]\frac{73 (number of milk cartons taken)}{100 (total)}[/tex]

or 73%