A theater has 384 seats. Each row has 16 seats. What is the value of x in the area model?

Answer:

1) 25%

2) 555.56

3) 10%

4) 700

Step-by-step explanation:

1) 35 is what percent of 140

This is calculated as:

35/140 × 100

= 25%

2) 250 is 45% of what number?

Let the number be represented as x

This is calculated as:

45% of x = 250

45/100 × x = 250

45x /100 = 250

Cross Multiply

45x = 250 × 100

x = 25000/45

x = 555.55555556

x = 555.56

3) 74 is what percent of 740?

Let the percentage be represented by x

x% × 740 = 74

Divide both side by 740

x% = 74/740

x% = 0.1

Converting to percentage

0.1 × 100 = 10%

4) 350 is 50% of what number?

Let the number the represented by x

This is calculated as:

50% of x = 350

50/100 × x = 350

50x /100 = 350

Cross Multiply

50x = 350 × 100

x = 35000/50

x = 700

x = 555.56

Answer:

r = 8

Step-by-step explanation:

The circumference of a circle is given by :

[tex]C=2\pi r[/tex] ...(1)

We need to find the value of r when C = 16π

Solving equation (1)

[tex]r=\dfrac{C}{2\pi}\\\\r=\dfrac{16\pi}{2\pi}\\\\r=8[/tex]

So, the value of r is 8. Hence, the correct option is (b).

Answer:

Two triangles are similar if they meet one of the following criteria. : Two pairs of corresponding angles are equal. : Three pairs of corresponding sides are proportional. : Two pairs of corresponding sides are proportional and the corresponding angles between them are equal.

Answer:

Alandra can fill 60 whole cones

Step-by-step explanation:

The volume of a rectangular prism is V = L × W × H, where

The volume of the cone is V = [tex]\frac{1}{3}[/tex] π r² h, where

∵ Alandra's rectangular cake pan is 33 cm by 23 cm

∴ L = 33 cm and W = 23 cm

∵ She has enough cake batter to fill it to a depth of 3 cm.

∴ H = 3 cm

→ Find the volume of the batter using the 1st rule above

∵ V = 33 × 23 × 3

∴ V = 2277 cm³

∵ Alandra wants to pour the batter into ice cream cones

∵ She plans to fill each cone to a depth of 9 cm with a diameter of 4 cm

∴ h = 9 cm

∵ r = [tex]\frac{1}{2}[/tex] diameter = [tex]\frac{1}{2}[/tex] (4)

∴ r = 2 cm

→ Substitute them in the 2nd rule above to find the volume of each cone

∵ V = [tex]\frac{1}{3}[/tex] (π) (2)² (9)

∴ V = 12π cm³

→ To find the number of cones divide the volume of the batter by

   the volume of each cone

∵ Number of cones = 2277 ÷ 12π

∴ Number of cones = 60.3993

→ We will take the whole number only because we need the whole cones

∴ Alandra can fill 60 whole cones

Answer:

Step-by-step explanation:

12x^2y / 4xy = 3x

So 4xy is the highest common factor.

Answer:

4x2y

Step-by-step explanation:

4xy = 4x4y

12x ÷ 4 = 3x

2y ÷ 2 = 1y

Hope this helps !

Merry Christmas

Answer:

they have two congruent angles or AA

Step-by-step explanation:

Answer:

they have two congruent angles or AA

Step-by-step explanation:

[tex]-\frac{1}{5}[/tex] ÷ 20 = - 100

or -0.01

there are two answers you can come up with choose wisely

Answer:

2754

Step-by-step explanation:

Answer:

9 Hours

Step-by-step explanation:

162 X 12 / 216 = 9 Hours

Answer:

15 nickels, 6 quarters, and 12 dimes.

Step-by-step explanation: i hoped it helped ;)

Answer:

x=2

Step-by-step explanation:

18. ∆PQR =~ ∆RPA ( by SAS )

19. ∆DQR =~ ∆PQR ( by AAS )

20. ∆ARO =~ ∆PQO ( by AAS )

Answer:

A

Step-by-step explanation:

3x × 4 =12x

Mark me brainliest pls

and thank me

Answer:

I think it is A

Step-by-step explanation:

Hope this helped have an amazing day!

X^2+10x+25 =8

Answer shown in figures below

Answer:

22 dimes, 8 Nickels

Step-by-step explanation:

Answer:

140 - 9 (12) + 3

140 - 108 +3

140 - 111

= 29

Answer:

zero slope

Step-by-step explanation:

its not goin up or down so there is no slope:)

also look below :)

Answer:

Hi friend,

Let 3+2√3 is a rational number.

A rational number can be written in the form of p/q.

3+2√3=p/q

√3=p/2q-3

√3=p-6q/2q

p,q are integers then (p-6q)/2q is a rational number.

But this contradicts the fact that √3 is an irrational number.

So,our statement supposed is false.

Therefore,3+2√3 is an irrational number.

Step-by-step explanation:

Answer:

in the explanation

Step-by-step explanation:

The sqrt of 3 is irrational. Any rational number multiplied or divided with an irrational number is also irrational (2 root 3). It's the same for addition and subtraction, any rational number added or subtracted from an irrational number is also irrational (2 + root 2).

Hope this helps!

Answer:

the total mass is 212.5 kg

Step-by-step explanation:

The computation of the total mass is as follows;

Given that

Number of family members = 5

And, the average mass is 42.5 kg

Now based on the above information

The total mass is

= Number of family members × average mass

= 5 × 42.5 kg

= 212.5 kg

Hence, the total mass is 212.5 kg

Answer:

Use the formula r = d/t. Your rate is 24 miles divided by 2 hours, so: r = 24 miles ÷ 2 hours = 12 miles per hour. Now let's say you rode your bike at a rate of 10 miles per hour for 4 hours.

Answer:

54 km/h

Step-by-step explanation:

Step one:

given data

We are required to perform unit from m/s km/h

from 15m/s to km/h

Step two:

1 meter= 1/1000 km,

1 seconds= 1/3600 hour

1m/s = 1/1000/1/3600= km/h= 3600/1000= 36/10= 18/5 km/h

so of 1m/s is equivalent to 18/5 km/h

then 15m/s is equivalent to x

cross multiply

x= 15*18/5

x= 3*18

x=54 km/h

Answer:

5 inches

Step-by-step explanation:

[tex]\frac{1}{3} =\frac{x}{15}\\3x=15\\x=5[/tex]

Answer:

x ≤ 2

Step-by-step explanation:

If you referencing ">=" as greater than or equal to, follow the solution below:

Solve:

3x - 6 + 2 ≥ 5x - 8

Combine like terms.

3x - 4 ≥ 5x - 8

Subtract 5x from both sides.

-2x - 4 ≥ -8

Add 4 to both sides.

-2x ≥ -4

Divide both sides by -2, while flipping the inequality as well since you're dividing by a negative number.

x ≤ 2

Your answer would be x ≤ 2

Answer - $55.03 .

12.70 divided by 3 = 4.23 x 13 = 55.03 .

Answer:For every right triangle, the circumcenter is always the midpoint of the hypotenuse. All four points of concurrency can themselves be concurrent! Only with an equilateral triangle will the centroid, circumcenter, incenter and orthocenter always be the same point!

Step-by-step explanation:

Given:

Polynomial = P(x) = 3x² + kx + 6

Factor of the ablove polynomial = (x+3)

To Find:

Value of K, for which (x+3) become the factor of P(x) = 3x² + kx + 6

Solution :

Now,

x + 3 = 0

⇒x = (-3)

So,

As (x+3) is a factor so x = (-3) is one root of the polynomial.

Therefore,

P(-3) = 0

→ P(-3) = 3(-3)² + k(-3) + 6 = 0

→ 3(9) - 3k + 6 = 0

→ 27 - 3k + 6 = 0

→ 27 + 6 - 3k = 0

→ 33 - 3k = 0

→ - 3k = -33

→ k = -33 ÷ -3

→ k = 11

3x²+ kx + 6, by putting the value of k = 11 and taking -3 as root the remainder should be zero

→ 3x²+ 11x + 6

→ 3(-3)² + 11(-3) + 6

→ 3(9) - 33 + 6

→ 27 - 33 + 6

→ 27 + 6 - 33

→ 33 - 33

→ 0

Hence verified !

Please see the image attached for the solution.

Given that,

No of cups of Apple juice = 10

No of cups of Orange juice = 16

Solution,

The ratio of Apple juice to the Orange juice will be :

[tex]R=\dfrac{10}{16}[/tex] ....(1)

For equivalent fraction, multiply both numerator and denominator by 2 such that,

[tex]R=\dfrac{10\times 2}{16\times 2}\\\\=\dfrac{20}{32}[/tex]

Dividing both numerator and denominator 2 such that,

[tex]R=\dfrac{10/2}{16/2}\\\\=\dfrac{5}{8}[/tex]

So, the required ratio is 5/8.