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3 years ago

6

Two classes have a total of 50 students. One of the classes has 6 more students than the other. How many students are in the lar

ger class.

2 answers:

MAXImum [283]3 years ago

6 0

22 in one class and 28 in the other, keeping in mind that it states one class is larger than the other.

Ivahew [28]3 years ago

4 0

Let's say 'x' to number of the students in the smaller class. Since the larger one is 6 more than the smaller one, its number would be 'x+6'. So their sum is equal to

$x+x+6=2x+6$ and we know total is 50 so:
$2x+6=50\\ 2x=50-6\\ 2x=44\\ x=\frac { 44 }{ 2 } \\ x=22$

x is 22 so the larger number 'x+6' is equal to : $x+6=22+6=28$

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Select the solution to the graph from the following points. Select all that apply.

stellarik [79]

Answer:

The solutions are:

(-15 , -4) ⇒ 1st

(3 , 2) ⇒ 3rd

(21 , 8) ⇒ 5th

Step-by-step explanation:

To find the solution of the graph let us make the equation of the line by using any two points on the line

The form of the linear equation is y = m x + b, where

m is the slope of the line
b is the y-intercept (value y at x = 0)

The formula of the slope is $m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

From the figure

∵ The line passes through points (-3 , 0) and (0 , 1)

- Find the slope of the line

∴ $m=\frac{1-0}{0--3}=\frac{1}{3}$

- Substitute the value of m in the form of the equation

∴ y = $\frac{1}{3}$ x + b

∵ b is the value of y at x = 0

∵ y = 1 at x = 0 ⇒ y-intercept

∴ b = 1

∴ y = $\frac{1}{3}$ x + 1

Lets substitute the x-coordinate of each point to find the y-coordinate, if the y-coordinate is equal to the y-coordinate of the points, then the point is a solution

Point (-15 , -4)

∵ x = -15

∴ y = $\frac{1}{3}$ (-15) + 1

∴ y = -5 + 1 = -4 ⇒ same value of the point

∴ (-15 , -4) is a solution

Point (-6 , 1)

∵ x = -6

∴ y = $\frac{1}{3}$ (-6) + 1

∴ y = -2 + 1 = -1 ⇒ not the same value of the point

∴ (-6 , 1) is not a solution

Point (3 , 2)

∵ x = 3

∴ y = $\frac{1}{3}$ (3) + 1

∴ y = 1 + 1 = 2 ⇒ same value of the point

∴ (3 , 2) is a solution

Point (12 , 9)

∵ x = 12

∴ y = $\frac{1}{3}$ (12) + 1

∴ y = 4 + 1 = 5 ⇒ not the same value of the point

∴ (12 , 9) is not a solution

Point (21 , 8)

∵ x = 21

∴ y = $\frac{1}{3}$ (21) + 1

∴ y = 7 + 1 = 8 ⇒ same value of the point

∴ (21 , 8) is a solution

6 0

2 years ago

A frog is climbing out of a well that is 11 feet deep. The frog can climb 3 feet per hour but then it rests for an hour, during

Dimas [21]

Answer:

It takes the frog 7 hours to get out of the well.

Step-by-step explanation:

We know that the well is 11 feet deep and the frog can climb 3 feet per hour.

Each time it climbs, it rests for an hour, and decreases its height by 1 foot.

So, if the frog reaches 3 feet in the first hour, then in the next hour it is 2 feet.

Lets calculate with the same pattern:

1st hour: 3 feet

2nd hour: $3-1=2$ feet

3rd hour: $2+3=5$ feet

4th hour: $5-1=4$ feet

5th hour: $4 +3= 7$ feet

6th hour: $7-1=6$ feet

5th hour: $6+3=9$ feet

6th hour: $9-1=8$ feet

7th hour: $8+3= 11$ feet

Therefore, it takes the frog 7 hours to get out of the well.

4 0

2 years ago

Indira finds that on a typical day, 4 out of every 5 students at her school eat a

Alenkinab [10]

Answer:

396

Step-by-step explanation:

it's it's 396 because if you add 99 more you will get 495.

each percentage is 99, so 99 x 5 is how many students there are 99 x 4 is the answer.

7 0

2 years ago

Evaluate the function f(x) at the given numbers (correct to six decimal places).

statuscvo [17]

Answer:

The values of given function are shown in the below table.

Step-by-step explanation:

The given function is

$f(x)=\frac{x^2-5x}{x^2-x-20}$

Simplify the given function.

$f(x)=\frac{x(x-5)}{x^2-5x+4x-20}$

$f(x)=\frac{x(x-5)}{x(x-5)+4(x-5)}$

$f(x)=\frac{x(x-5)}{(x+4)(x-5)}$

Cancel out the common factor.

$f(x)=\frac{x}{x+4}$

Substitute x=5.5 in the above equation.

$f(5.5)=\frac{5.5}{5.5+4}$

$f(5.5)=\frac{5.5}{9.5}$

$f(5.5)=0.57894736842$

$f(5.5)\approx 0.578947$

Similarly find the value for all values of x.

The values of given function are shown in the below table.

8 0

3 years ago

80 cm to 42.5 cm for percent change

Fofino [41]

Answer:

= 46.875% decrease

Step-by-step explanation:

Mark as brainliest :)

5 0

3 years ago