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serious [3.7K]
3 years ago
14

a dog weighs two pounds less than three times the weight of a cat. The dog also weighs twenty-two more pounds than the cat. writ

e and solve an equation to find the weights of the dog and the cat.
Mathematics
1 answer:
Law Incorporation [45]3 years ago
8 0

Answer:

Weight of dog: 34 pounds,

Weight of cat: 12 pounds.

Step-by-step explanation:

Let d represent weight of dog and c represent weight of cat.

We have been given that a dog weighs two pounds less than three times the weight of a cat.

3 times weight of cat: 3c

We can represent the given information in an equation as: d=3c -2...1

We are also told that the dog also weights twenty-two more pounds than the cat. We can represent the given information in an equation as:

d=c+22...(2)

3c-2=c+22--->c=12

Therefore subsitute c=12 in equation 2

d=+22

d=12+22

d=34

Therefore, the weight of dog is 34 pounds.

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Find the terminal point on the unit circle determined by 11pi/6 radiants
irga5000 [103]

Answer:

(\frac{\sqrt{3}}{2},-\frac{1}{2})

Step-by-step explanation:

The unit circle has the parametric equation:

x=\cos \theta

y=\sin \theta

where \theta=\frac{11\pi }{6} in our case is the terminal side of the angle in standard position.

We substitute to get:

x=\cos \frac{11\pi }{6}=\frac{\sqrt{3}}{2}

y=\sin \frac{11\pi }{6}=-\frac{1}{2}

\therefore (\frac{\sqrt{3}}{2},-\frac{1}{2}) is the required point.

6 0
3 years ago
What is the value of x?<br><br><br><br> Enter your answer in the box.
OverLord2011 [107]
5x + 10           10
---------- =      -------
   121               11

make the bottom have same common denominator

10/11 x (10/10) = 100/121

Get rid of the denominator (for both now have 121 as a base)

5x + 10 = 100

5x + 10 (-10) = 100 (-10)

5x = 90

5x/5 = 90/5

x = 18

x = 18  is your answer

hope this helps
4 0
3 years ago
Read 2 more answers
Suppose that 200 students are randomly selected from a local college campus to investigate the use of cell phones in classrooms.
serious [3.7K]

Answer:

It would change to 0.04802

Step-by-step explanation:

from this question we have that n became 400

40% of 400

= 160

p* = 160/400

= 0.4

1 - p* =

= 1 - 0.4

= 0.6

at confidence level,

1 - 0.95

= 0.05

alpha/2 = 0.025

z= 1.96

<u>margin of error. E</u>

= 1.96 x √[(0.4 x 0.6)/400]

= 1.96 x 0.0245

= 0.04802

M.E = 0.04802

6 0
3 years ago
What is the nearest degree ?
gtnhenbr [62]

Answer:

maybe 65 degrees

sorry if its wrong

6 0
3 years ago
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The area of the parallelogram shown below has an area of 72 units2
nordsb [41]

Answer:

12 units

Step-by-step explanation:

Allow me to revise your question for a better understanding and I hope it will fit the original one.  

The parallelogram shown below has an area of 72 units squared. The base is 6 and the other side is 13 Find the missing height.

Here is my answer:

Given:

The area: 72 units squared.

The base: 6 units

As we know that the area of the parallelogram is represented by below formula:

A = b*h where h is the height and b is the base

In this situation, we know:

72 = 6*h

<=> h = 12

So the missing height is 12 units

Step-by-step explanation:

4 0
3 years ago
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