A pet owner has 5 cats. Each cat has 2 ears and 4 paws. Complete the double number line to show the numbers of ears and paws for
1, 2, 3, 4, and 5 cats. If there are 3 cats in the room, what is the ratio of ears to paws? If there are 4 cats in the room, what is the ratio of paws to ears? If all 5 cats are in the room, how many more paws are there than ears?
1 answer:
Answer:
If there are 3 cats in the room, what is the ratio of ears to paws? 1 : 2
If there are 4 cats in the room, what is the ratio of paws to ears? 2 : 1
If all 5 cats are in the room, how many more paws are there than ears? the number of paws is twice as more than the number of ears, we have 10 more paws than ears.
Step-by-step explanation:
You can see the double number line for this situation in the attached photo.
So as we can see in the double number line diagram, if there are 3 cats in the room we would have an ears to paws ratio of 6 : 12 , which simplified would be 1 : 2, meaning that for every ear there are 2 paws.
For the next question, if there are 4 cats in the room, the paws to ears ratio would be 16 : 8, simplified to 2 : 1, meaning that for every 2 paws there is 1 ear.
And for the last question, if all 5 cats are in the room, we have that the paws to ears ratio is 20 : 10, simplified again to 2 : 1, meaning the number of paws is twice as more than the number of ears, so in this case we have 10 more paws than ears.
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Answer:
Step-by-step explanation:
Missing figure drawn.
The measure of ∠PQR is found by the property of inscribed quadrilateral. In an inscribed quadrilateral the opposite angles are supplementary:
Make an equation system based on the problem
<span>An equation for "A plane has 360 total seats, </span>which are divided into economy class and business class" is
∴ e + b = 360 (first equation)
"<span>For every 13 seats in economy class, there are 5seats in business class" that means in 1b there is (5/13) e
</span>∴
(second equation)
<span>
Solve the equation, find the value of e
</span><span>Subtitute b with (5e)/13 in the first equation
</span>e + b = 360
Equalize the denominators
move 13 to the right side, and solve for e
18e = 360 × 13
18e = 4,680
e = 4,680/18
e = 260
Find the value of b
e + b = 360
260 + b = 360
b = 360 - 260
b = 100
There are 260 seats in economy class and 100 seats in business class
<span>An equation for "A plane has 360 total seats, </span>which are divided into economy class and business class" is
∴ e + b = 360 (first equation)
"<span>For every 13 seats in economy class, there are 5seats in business class" that means in 1b there is (5/13) e
</span>∴
<span>
Solve the equation, find the value of e
</span><span>Subtitute b with (5e)/13 in the first equation
</span>e + b = 360
Equalize the denominators
move 13 to the right side, and solve for e
18e = 360 × 13
18e = 4,680
e = 4,680/18
e = 260
Find the value of b
e + b = 360
260 + b = 360
b = 360 - 260
b = 100
There are 260 seats in economy class and 100 seats in business class