All categories

4 years ago

A school aditorium has 200 seats and 156 of them are occupide.What percentage of the seats are occupide

Mathematics

2 answers:

marusya05 [52]4 years ago

5 0

78% of the seats are occupied.

DerKrebs [107]4 years ago

3 0

I believe that the answer is 78%

You might be interested in

20) Use the distributive property to factor the expression. 10xz − 20yz A) z(10x − 20y) B) 10(xz − 2yz) C) 10z(x − 2y) D) xyz(10

vekshin1

Answer:

The correct answer is C) 10z(x − 2y)

Step-by-step explanation:

To find this, we look for the greatest common factor of those two numbers. Each can be divided by 10 and each have a z. So we divide each term by 10z and put that on the outside of the parenthesis.

5 0

4 years ago

Two investments totallng $47,500 produce an annual income of $3000. One investment ylelds 9% per year, while the other yields 6%

enot [183]

Answer:

The correct answer is "$5000".

Step-by-step explanation:

The given values are:

Two investments totaling,

= $47,500

Annual income,

= $3000

One investment yields per year,

= 9%

Other yield,

= 6%

Let,

The amount invested in 9% will be "x".
The amount invested in 6% will be " $47,500-x$ ".

Now,

⇒ $0.09x+0.06(47,500-x)=3000$

⇒ $0.09x+2850-0.06x=3000$

⇒ $0.03x+2850=3000$

⇒ $0.03x=150$

⇒ $x=\frac{150}{0.03}$

⇒ $x=5000$

5 0

3 years ago

Solve the following equations.<br> √3 ⋅ 3^3x = 9

GREYUIT [131]

Answer:

The solution is $x = 0.5$

Step-by-step explanation:

We need to write everything as a power of 3.

We know that:

$\sqrt{a} = a^{0.5}$

$\sqrt{3} = 3^{0.5}$

And

$9 = 3^{2}$

This following property is also important:

$\frac{a^{b}}{a^{c}} = a^{b-c}$

To solve, the first step is putting everything with the variable x on one side and everything without the variable x on the other side

$\sqrt{3}.3^{3x} = 9$

$3^{0.5}.3^{3x} = 3^{2}$

$3^{3x} = \frac{3^{2}}{3^{0.5}}$

$3^{3x} = 3^{2-0.5}$

$3^{3x} = 3^{1.5}$

This means that:

$3x = 1.5$

$x = \frac{1.5}{3}$

$x = 0.5$

5 0

3 years ago

A recipe for cinnamon rolls uses 2 tablespoons of sugar per teaspoon of cinnamon for the filling. Write the ratio that represent

Anvisha [2.4K]

A recipe for cinnamon rolls uses 2 tablespoons of sugar per teaspoon of cinnamon for the filling. Write the ratio that represents sugar to cinnamon for three batches of filling

_________________________

Each batch of filler

2 tablespoons of sugar per teaspoon of cinnamon for the filling

2:1

For three batches of filling

2*3 tablespoons of sugar per 1*3 teaspoons of cinnamon for the filling

6 tablespoons of sugar per 3 teaspoons of cinnamon for the filling

6:3

______________________________________________