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VARVARA [1.3K]
2 years ago
8

In a class of 35 students, 19 take history and

Mathematics
1 answer:
saveliy_v [14]2 years ago
4 0

Answer: 9

Step-by-step explanation:

If 19 students take history, 12 take economics and 5 take both:

19-5 = 14 students that take only history

12-5 = 7 students that take only economics

Therefore total number of students who either history, economics or history and economics: 14 + 7 + 5 = 26

Therefore students who take neither: 35 - 26 = 9

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The graph of F(x), shown below, has the same shape as the graph of G(x)=x^4 but it is shifted 4 units to the left. What is the e
Rufina [12.5K]
G(x) = (x+4)^4 is the answer. It's D. last choice

G(x) = (x+4)^4 shifted F(x) = x^4      4 units to the left
3 0
2 years ago
Read 2 more answers
one month Miguel rented 5 movies and 3 video games for a total of $27. The next month he ordered 2 movies and 6 video games for
34kurt

Answer:

The price of each movie is $2.25

The price of each video games is $5.41  

Step-by-step explanation:

Given as :

Miguel rented 5 movies and 3 video games for a total cost = $27

Next day Miguel rented 2 movies and 6 video games for a total cost = $36

Let The cost of each movie = $m

And The cost of each video game = $v

Now, According to question

5 m + 3 v = 27            .....1

2 m + 6 v = 36          ...........2

Now, solving the equation

2 × (5 m + 3 v)  - (2 m + 6 v) = 2 × 27 - 36

Or, 10 m + 6 v - 2 m - 6 v = 54 - 36

Or, (10 m - 2 m) + (6 v - 6 v) = 18

Or, 8 m + 0 = 18

∴ m = \dfrac{18}{8} = \dfrac{9}{4}

i.e m = $2.25

So, The price of each movie =  m = $2.25

Again, put the value of m into eq 2

So, 2 × 2.25 + 6 v = 36  

Or, 4.5 + 6 v = 36  

Or, 6 v = 36 - 4.5

Or, 6 v = $32.5

∴ v = \dfrac{32.5}{6}

i.e v = $5.41

So, The price of each video games = v = $5.41

Hence, The price of each movie is $2.25 and

The price of each video games is $5.41  Answer

7 0
2 years ago
Select the correct answer from each drop-down menu.
Alexxx [7]

Answer:

Graph B

No

Inside

Step-by-step explanation:

Let, the number of apples = x and number of peaches = y.

It is given that the farmer can afford maximum of 54 acres.

Thus, x + y ≤ 54.

Also, apples require 3000 gallons of water and peaches require 800 gallons of water each day.

Since, maximum amount of water is 80,000 gallons per day,

We get, 3000x + 800y ≤ 80,000.

It is required to maximize the profit given by z = 3400x + 1600y.

Thus, the system of equations becomes,

z = 3400x + 1600y

3000x + 800y ≤ 80,000.

x + y ≤ 54.

Plotting these equations gives the following graph.

We can see that the graph obtained is equivalent to Graph B.

Further, we know that the maximum value of the objective function z = 3400x + 800y is obtained at the boundary point of the solution region.

Thus, any point inside the solution region will give a feasible solution not maximum solution.

Hence, ( 30,20 ) will not maximize the profit as it lies inside the solution region.

8 0
3 years ago
A car travels 30 1/5 miles in 2/3 of an hour. What is the average speed of the cat in mph?
____ [38]

Answer:

45.3 miles/h

let 'x' be the speed of the car. Hope this will helps:)

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
HELP PICTURE IS SHOWN
Ahat [919]
Its 108 because the triangle is acute so all angle are less than or equal to 90 and i did 54+54+72=180 ant the measurement of the exterior angle is 108  
5 0
3 years ago
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