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Leya [2.2K]
1 year ago
14

404 students were surveyed about their preferences of sports. 126 students like football, 131 students like baseball, and 40 stu

dents like both sports. How many students like exactly one of the two sports?
Mathematics
1 answer:
butalik [34]1 year ago
6 0
20 like football
20 like baseball
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Four friends are playing a game. They randomly choose a handful of marbles from a bag. The player with the highest ratio of blue
Monica [59]

We are given the number of Blue and Purple Marbles for each of the four friends. So first we have to find the ratio of blue marbles to purple marbles for each of them.

A) Rosa

Number of blue marbles = 10

Number of purple marbles = 12

Ratio of blue to purple marbles = \frac{10}{12}=0.833

B) Chi

Number of blue marbles = 5

Number of purple marbles = 6

Ratio of blue to purple marbles = \frac{5}{6}=0.833

C) Alberto

Number of blue marbles = 5

Number of purple marbles = 12

Ratio of blue to purple marbles = \frac{5}{12}=0.417

D) Pedro

Number of blue marbles = 10

Number of purple marbles = 6

Ratio of blue to purple marbles = \frac{10}{6}=1.667

From the above calculations we can see that Pedro has the highest value of ratio for blue marbles to purple marbles. Also we can see Pedro is the only one for whom the number of blue marbles is more than the number of purple marbles. So this confirms that our calculation is correct.

Thus, the player which gets to go first is Pedro.

4 0
2 years ago
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On a road map, the locations A, B and C are collinear. Location C divides the road from location A to B, such that AC:CB = 1:2.
koban [17]

Answer:

C. (-1,-2)

Step-by-step explanation:

Since C internally divides AB in the ratio AC/CB = 1/2 = m/n where m = 1 and n = 2, we use the formula for internal division.

Let A = (x₁, y₁) = (5, 16), B = (x₂, y₂) and C = (x, y) = (3, 10)

So x = (mx₂ + nx₁)/(m + n)

y = (my₂ + ny₁)/(m + n)

Substituting the values of the coordinates, we have

x = (mx₂ + nx₁)/(m + n)

3 = (1 × x₂ + 2 × 5)/(2 + 1)

3 = (x₂ + 10)/3

multiplying through by 3, we have

9 = x₂ + 10

x₂ = 9 - 10

x₂ = -1

y = (my₂ + ny₁)/(m + n)

10 = (1 × y₂ + 2 × 16)/(2 + 1)

10 = (x₂ + 32)/3

multiplying through by 3, we have

30 = y₂ + 32

y₂ = 30 - 32

y₂ = -2

So, the coordinates of B are (-1, -2)

3 0
1 year ago
I WILL MAKE WHOEVER ANSWERS THIS CORRECTLY THE BRAINLIEST :D Rei is barricading a door to stop a horde of zombies. She stacks bo
ivann1987 [24]

Answer:

See below.

Step-by-step explanation:

Well first, we need to find the weight of the table. We know that 8 boxes weighs a total of 240kg (since each box weights 30kg). Thus, we can conclude that the table weighs 70kg by doing 310-240=70.

Now, we can write our function. Let x equal the amount of boxes.

The table is a set weight, so that would be our constant.

Thus, we will have:

f(x)=30x+70

30x represents the weight each box of book adds to the total. One box equals 30kg, 2 boxes equal 60kg, etc.

The 70 represents the unchanging weight of the table.

In terms of W(x), it will be:

W(x)=30x+70

3 0
2 years ago
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Circle G and X connect at point Y. The length of G Y is 10 centimeters and the length of Y X is 16 centimeters. Point G is the c
poizon [28]

Answer:

its b

Step-by-step explanation:

8 0
1 year ago
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Segment AB is congruent to segment AB. This statement shows the ______ property. reflexive symmetric transitive substitution
svlad2 [7]

Answer: Reflective

Step-by-step explanation:

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2 years ago
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