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Ivahew [28]
3 years ago
9

6. Use the graph that shows the percent of cat ownerswho train their cats in each category. (Examples 3 and 4)a. Out of 255 cat

owners, predict how manyowners trained their cat not to climb onfurniture.b, out of 316 cat owners, predict how many catowners trained their cat not to claw on furniture.Climbing onFurnitureClawingO FurnitureFightingwith otherAnimalsTraining Cats43%29%17%10 2030 40 50Percent Quick please

Mathematics
2 answers:
kodGreya [7K]3 years ago
7 0

Answer: a) 110 b) 92

Step-by-step explanation:

Since we have given that

Percentage of animals not to climbing on furniture = 43%

Percentage of animals not to clawing on furniture = 29%

Percentage of animals not to fighting with other animals training cats = 17%

If the number of cat owners = 255

Number of owners trained their cat not to climb on furniture is given by

\dfrac{43}{100}\times 255\\\\=0.43\times 255\\\\=109.65\approx 110

If the number of cats owners = 316

Number of owners trained their cat not to claw on furniture is given by

\dfrac{29}{100}\times 316\\\\=0.29\times 316\\\\=91.64\approx 92

Hence, a) 110 b) 92

Tcecarenko [31]3 years ago
3 0
A. 110 owners
B. 92 owners
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garri49 [273]

Answer:

a = 12

b = 9

c = 15

d = 17

e = 20

f = 11

g = 14

Step-by-step explanation:

Given that

(a + b) = 21 ...... (1)

(b + c) = 24 ........ (2)

(c + d) = 32 ........ (3)

(d + e) = 37 ........ (4)

(e + f) = 31 .......... (5)

(f + g) = 25 ........ (6)

(g + a) = 26 ......... (7)

Hence, adding all the equations we get, 2(a + b + c + d + e + f + g) = 196

⇒ (a + b + c + d + e + f + g) = 98 ...... (8)

Adding equations (2), (4) and (6), we get (b + c + d + e + f + g) = 86.

Therefore, from equation (8), we get a = 98 - 86 = 12 (Answer)

Adding equations (3), (5), and (7) we get,

a + c + d + e + f + g = 89

Hence, from equation (8), we have b = 98 - 89 = 9 (Answer)

Similarly, adding equations (1), (4), and (6) we get,

a + b + d + e + f + g = 83,

Hence, c = 98 - 83 = 15 (Answer)

Now, adding equations (2), (5) and (7), we get

a + b + c + e + f + g = 81. Hence, d = 98 -81 = 17 (Answer)

Adding equations (1), (3), and (6)

a + b + c + d + f + g = 78. Hence e = 98 - 78 = 20 (Answer)

Adding equations (2), (4), and (7)

a + b + c + d + e + g = 87. Hence f = 98 - 87 = 11 (Answer)

Adding equations (1), (3), and (5)

a + b + c + d + e + f = 84. Hence g = 98 - 84 = 14 (Answer)

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3 years ago
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Answer:

Corresponding Angles and Alternate Exterior

Step-by-step explanation:

The angles are corresponding if same side in a parallel.

This is because as the lines are parallel to one another that means that the next following angle measure is the same in approach.

For the other problems if they are opposite sides from one another.

They are called alternate exteriors.

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2 years ago
What are types of legislature
gulaghasi [49]

Answer:

Two common types of legislature are those in which the executive and the legislative branches are clearly separated, as in the U.S. Congress, and those in which members of the executive branch are chosen from the legislative membership, as in the British Parliament.

8 0
3 years ago
Find the vertex of the graph of f(x)=-4(x-1)(x+5)
madreJ [45]

The vertex of the graph is (h, k) = (- 2, 36).

<h3>How to find analytically the vertex of a quadratic equation</h3>

In this question we have a quadratic equation of the form f(x) = a · (x - r₁) · (x - r₂) and we need to transform the expression into its vertex form of determine the coordinates of the vertex. First, we need to exprand the expression:

f(x) = - 4  · (x - 1) · (x + 5)

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Now we proceed to complete the square:

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- f(x) + 36 = (2 · x + 4)²

- f(x) + 36 = 4 · (x + 2)²

f(x) - 36 = - 4 · (x + 2)²

The vertex of the graph is (h, k) = (- 2, 36).

To learn more on quadratic equations: brainly.com/question/17177510

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1 year ago
Find the area of the shaded region.
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8x5 = 40
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answer:
area of shaded = 34
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3 years ago
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