All categories

3 years ago

Which expression represents a factorization of 32m+56mp

Mathematics

2 answers:

algol [13]3 years ago

6 0

Answer:

8m(4+7p)

Step-by-step explanation:

Lana71 [14]3 years ago

3 0

8m(4+7p). (The greatest common factor is 8.).

You might be interested in

A plane is flying at an altitude of 25,000 m. From the pilot, the angle of depression to the airport tower is 30°. How far is th

maria [59]

The question is modelled as shown in the diagram below

We have the angle, 30° and we know the length of the side opposite the angles, 25000 feet. We are looking for the ground distance between the plane and the tower. We will use the trigonometry ratio of Tan

$tan(x)= \frac{opposite}{adjacent}$
$tan(30)= \frac{25000}{y}$
$y= \frac{25000}{tan(30)}$
$y=43301.27019$

The distance between the point directly beneath the plane and the tower is 43301.3 feet (rounded to 2dp)

5 0

4 years ago

In a population of 400,000 people, 160,000 are infected with a virus. After a person becomes infected and then recovers, the per

Margarita [4]

Answer:

Number of people that will be infected in 4 years is 252,610.

Step-by-step explanation:

The number of people that will be infected in 4 years can be calculated as follows:

Number of people that will be infected in year 1 = 160,000

Number of people that will not be infected in year 1 = 400,000 - 160,000 = 240,000

Number of people that will be infected in year 2 = Number of people that will not be infected in year 1 * 15% = 240,000 * 15% = 36,000

Number of people that will not be infected in year 2 = Number of people that will not be infected in year 1 - Number of people that will be infected in year 2 = 240,000 - 36,000 = 204,000

Number of people that will be infected in year 3 = Number of people that will not be infected in year 2 * 15% = 204,000 * 15% = 30,600

Number of people that will not be infected in year 3 = Number of people that will not be infected in year 2 - Number of people that will be infected in year 3 = 204,000 - 30,600 = 173,400

Number of people that will be infected in year 4 = Number of people that will not be infected in year 3 * 15% = 173,400 * 15% = 26,010

Therefore, we have:

Number of people that will be infected in 4 years = Number of people that will be infected in year 1 + Number of people that will be infected in year 2 + Number of people that will be infected in year 3 + Number of people that will be infected in year 4 = 160,000 + 36,000 + 30,600 + 26,010 = 252,610

6 0

3 years ago

In RSM camp, there are four counselors for every fifty seven students and three teachers for every five counselors.

Ray Of Light [21]

Answer:

Students : Counselors : Teachers = 285: 20 : 12

Step-by-step explanation:

In the camp, the ratio of:

( C: S ) Counselors : Students is 4 : 57

( T: C ) Teachers : Counselors is 3 : 5

To determine the ratio of - Students : Counselors : Teachers

Here given - C : S = 4 : 57

Multiplying both sides by 5, we get

C: S = 4 x 5 : 57 x 5 = 20 : 285

So, for every 20 counselors, there are 285 students ...... (1)

Similarly, given Teachers : Counselors is 3 : 5

Multiplying both sides by 4, we get

T : C = 3 x 4 : 5 x 4 = 12 : 20

So, for every 12 teachers, there are 20 Counselors ...... (2)

Hence, in both equation 1 and 2 the number of counselors is same = 20 .

Hence, both the ratios acne be combined.

So we get C : S = 20 : 285 and T : C = 12: 20

Inverting the values

⇒ S : C = 285 : 20 and C : T = 20 : 12

or, S : C : T = 285: 20 : 12

or, Students : Counselors : Teachers = 285: 20 : 12

Hence, for every 285 students there are 20 counselors and 12 teachers.

4 0

3 years ago

Please help with my algebra homework and explain if you can : v= pi/3 rsquared h

Tanzania [10]

To isolate the variable means to have it by itself on one side of the equation, where the variable equals an expression.

To isolate $h$ , we will need to remove the variables and other terms "connected" to the $h$ variable:

$V = \dfrac{\pi}{3}r^2h$

$\dfrac{V}{r^2} = \dfrac{\pi}{3}h$

$\boxed{\dfrac{3V}{r^2\pi} = h}$

By dividing terms "connected" to our $h$ variable, we have isolated it one side of the equation.

6 0

3 years ago

What is the value of 3x +2 when x = 5

Bingel [31]

Answer:

Step-by-step explanation:

Always put questions like these with an equal sign

3x + 2 = ?

plug in x value (x = 5)

3(5) + 2 = ?

solve

15 + 2 = ?

answer

17 = ?

5 0

3 years ago

Read 2 more answers