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Andre45 [30]
3 years ago
9

[25 points] Help with proportions, I don't understand! 134 out of 205 families in "Chimgan" village keep cows, 142 keep sheep an

d 76 keep goats. 67 families have cows and sheep, 10 have cows and goats, 15 have sheep and goats. There are 34 families who keep all three kinds of pets. a) How many families keep only one kind of pet?
b) How many have no pets at all? Hint: Use the following diagram.​

Mathematics
1 answer:
Shalnov [3]3 years ago
5 0

Answer:

only keeps-

cows=134-67-34-10=23

sheep=142-67-34-15=26

goats=76-10-34-15=17

no pets=205-23-17-26-67-10-16-34

Step-by-step explanation:

some have one pets some have two or three

total no. of family have cows is 134 then 134 minus by those with more will be no. of family only with cows

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Find two positive numbers whose product is 64 and whose sum is a minimum. (If both values are the same number, enter it into bot
DedPeter [7]

Answer:

X = 8, y = 8

Step-by-step explanation:

This question is an optimization problem. Two equations are going to be needed here

n = x+y

P = xy

Such that 64 = xy

When we divide through by x we get:

y = 64/x

So that n becomes:

n = x + 64/x

n = x+64x^-1

We take derivative

n' = 1-64x^-2

When n' = 0 then a min|max occurs

0 = 1-64x^-2

Such that:

64/x² = 1

Divide through by x²

64 = x²

x = √64

x = 8

Remember y = 64/x

So,

Y = 64/8

Y = 8.

X = 8, y = 8

Thank you!

3 0
3 years ago
PLEASE HELP ME <br>...This is my homework and I don't understand how to do it.​
musickatia [10]

The probability that a point chosen at random lies in the shaded region is 0.28

<h3>Calculating the area of a shaded region and probability</h3>

From the question, we are to find the probability that a point chosen at random lies in the shaded region.

The shaded region is a triangle.

The probability that a point chosen at random lies in the shaded region = Area of the triangle / Area of the circle

First, we will calculate the unknown side of the triangle

Let the unknown side be x.

Then, from the <em>Pythagorean theorem</em>, we can write that

12² = 6² + x²

144 = 36 + x²

x² = 144 - 36

x² = 108

x = √108

x = 6√3

From formula,

Area of a triangle = 1/2 × base × height

Area of the triangle = 1/2 × 6 × 6√3

Area of the triangle = 18√3 square units

Now, we will determine the area of the circle

Area of a circle = πr²

Where r is the radius

From the given information,

Diameter of the circle = 12

But,

Radius = Diameter / 2

Therefore,

r = 12/2

r = 6

Thus,

Area of the circle = 3.14 × 6²

Area of the circle = 113.04 square units

Now,

The probability that a point chosen at random lies in the shaded region = 18√3 / 113.04

The probability that a point chosen at random lies in the shaded region = 0.2758

The probability that a point chosen at random lies in the shaded region ≈ 0.28

Hence, the probability is 0.28

Learn more on Calculating area of a shaded region here: brainly.com/question/23629261

#SPJ1

4 0
1 year ago
Jim’s backyard is rectangular with dimensions of 80 feet by 120 feet. He is planning to designate part of the yard to plant a ve
mariarad [96]
Solution: 5,400 feet^2
Step by step solution:
3/4=0.75
(80*0.75)(120*0.75)
(60)(90)
5400
5,400 feet^2
Hope that helps :)
5 0
2 years ago
PLZ HELP ill GIVE BRAINIESt!!!!20 Points
shepuryov [24]
She made her mistake at the first step. To simplify a radical, you would find two numbers that multiply by each other to get your original number (under the radical) and have one of the number be a perfect square.

Her reasoning is wrong because 10*10 is not \sqrt{50}. Had she been correct, her answer should have been able to be squared to equal \sqrt{50}

In other words, she should have done \sqrt{25*2}= \sqrt{25} * \sqrt{2}=5 \sqrt{2}
(We used 25 because 25 is a perfect square, 5*5=25).

:)
3 0
3 years ago
75,100,125, what comes next
Alchen [17]

Answer:

150

Step-by-step explanation:

add 25 and you get the next number

8 0
3 years ago
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