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3 years ago

There are less than 50 students in the class. Today, only 97.5% of the class is here. How many students are in this class?

Mathematics

1 answer:

Dima020 [189]3 years ago

5 0

Answer:

the $100\%$ of students in the class are $40$ students

the $97.5\%$ of students here in class today are $39$

Step-by-step explanation:

Let

x-------------> total students in the class

y------------- >number of the students here in class

$y=0.975x$

we know that

$x< 50$

the interval solution for x is all whole numbers belong to the interval

$[0,49]$

the solution will be a number belonging to the interval $[0,49]$ such that when multiplying by $97.5\%$ it gives me a whole number

see the attached excel table

the $100\%$ of students in the class are $40$ students

the $97.5\%$ of students here in class today are $39$

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Two girls scout troops are completing a wilderness campouts. The blue troops hikes 2/3 mile every 1/2 hour. The yellow troop hik

sergejj [24]

Answer:

Yellow troop will complete the hike faster than blue troop

Blue troop hikes 1.33 miles in 1 hour

Yellow troop hikes 2.25 miles in 1 hour

Missing portion:

Since the final statement is missing, so we will find how much distance can the troops travels in 1 hour and which troop can complete the hike faster.

Step-by-step explanation:

As given in the statement:

Blue troops travels $\frac{2}{3}$ miles ever $\frac{1}{2}$ hour:

$\frac{1}{2}$ hr = $\frac{2}{3}$ miles

1 hr = $\frac{(2)2}{3}$

1 hr= $\frac{4}{3}$ miles = 1.33 miles

Blue troop hikes 1.33 miles in 1 hour

Yellow troops travels $\frac{3}{4}$ miles ever $\frac{1}{3}$ hour:

$\frac{1}{3}$ hr= $\frac{3}{4}$ miles

1 hr = $\frac{(3) 3}{4}$ miles

1 hr = $\frac{9}{4}$ miles =2.25 miles

Yellow troop hikes 2.25 miles in 1 hour

Yellow troop will complete the hike faster than blue troop

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3 years ago

Describe the end behavior of the given function f(x)=2/3x-2

Ipatiy [6.2K]

Answer:

The end behavior of f(x)=2/3x-2 is: as x->+ infinity, f(x)->+ infinity

as x->- infinity, f(x)->- infinity

Step-by-step explanation:

When you are asked about the end behavior of a function, look to see where the function is traveling on the graph. For instance, this graph is linear, so you should look to see if the slope is positive or negative. This linear function is positive, so as x is reaching positive infinity the f(x) would also be reaching positive infinity. As x is reaching negative infinity, f(x) would also be reaching negative infinity. The end behavior of a function describes the trend of the graph on the left and right side of the x- axis. (As x approaches negative infinity and as x approaches positive infinity).

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3 years ago

In order to estimate the average time spent on the computer terminals per student at a local university, data were collected fro

Ksju [112]

Answer:

d. 0.133

Step-by-step explanation:

-Standard error is calculated using the formula:

$E=\frac{\sigma}{\sqrt{n}}\\\\\sigma-=standard \ deviation\\n=sample \ size$

#We substitute the given values in the formula to solve for E:

$E=\frac{\sigma}{\sqrt{n}}\\\\=\frac{1.2}{\sqrt{81}}\\\\=0.133$

Hence, the standard error is 0.133 and the correct option is d

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3 years ago

Identify the domain and range of this graph

RSB [31]

Answer:

domain is [-3,3] & range is [-3,3]

Step-by-step explanation:

When given a graph of a circle and ask to solve range and domain....

First: find the four points of the circle:

(-3,0);(3,0);(0,-3);(0,3) . **Best to plot these points on this graph to understand where the points are and what we are looking at.

Second: Look for range(vertical directions/left and right) and domain(horizontal direction/up and down).

domain: x-values, first coordinate (-3,0) & (3,0)

range: y-values, second coordinate (0,-3);(0,3)

Third: take what you know and solve domain and range*include bracket to show domain and range

domain is [-3,3] & range is [-3,3]

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3 years ago

What values of x and y satisfy the system of equations {10x+3y=−5−5x−4y=10? (0,−53) (25,−3) (−2,0) (12,−103)

Kitty [74]

Answer:

The solution of the equation

( 0.4 ,-3)

Step-by-step explanation:

Explanation:-

Step(i):-

Given system of equations

10 x+3 y = −5 ...(i)

- 5 x - 4 y = 10 ...(ii)

Multiply (i) with '5'

10 × 5 x + 3×5 y = - 25

50 x + 15 y = 25 ...(iii)

Multiply (ii) with '10'

-5 × 10 x - 4×1 0 y = 100

- 50 x - 40 y =100 ...(iv)

Step(ii):-

Solving (iii) and (iv)

50 x + 15 y =- 25

- 50 x - 40 y =100

- 25 y = 75

Dividing ' - 25' on both sides, we get

y = -3

substitute y = -3 in equation (i) , we get

10 x+3 y = −5

10 x - 9 = - 5

10 x = -5 + 9

$x = \frac{4}{10}$

x = 0.4

Final answer:-

The solution of the equation ( 0.4 ,-3)

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3 years ago