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Vikentia [17]
3 years ago
10

Help, will mark brainliest, and show work

Mathematics
1 answer:
Shkiper50 [21]3 years ago
7 0

Answer:

x=10

Step-by-step explanation:

Set up a proportion with corresponding sides. The two sides marked with a small line in them represent that those sides are equal. Therefore, the side marked 30 is broken into two lines of equal length (each 15).

Thus, we can set up the following proportion:

\frac{x}{20}=\frac{15}{30},\\\\30x=300,\\\\x=\boxed{10}

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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
aleksandrvk [35]

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.

7 0
3 years ago
Paul has a board that is 1200 cm long which of the following measures is equaivilent to 1200 cm
ankoles [38]
12 meters because 100 centimeters is equal to one meter.
4 0
3 years ago
Jackson purchased a pack of game cards that was on sale for 22% off. The sales tax in his county is 6%. Let y represent the orig
Ymorist [56]

Answer:

Final cost = 0.9328y

Step-by-step explanation:

Assume,

Original price = y

Given:

Discount = 22%

Sales tax = 6%

Computation:

Sales tax will be added on sale value

So,

Sales price = y[100%-22%]

Sales price = 0.88y

Price after sales tax :

Final cost = 0.88y[100% + 6%]

Final cost = 0.88y[106%]

Final cost = 0.9328y

8 0
2 years ago
Enter the y coordinate of the solution to this system of equations. <br> -2x+3y=-6<br> 5x-6y=15
julia-pushkina [17]
Y coordinate on solving both equations comes out to be 0
-2x+3y=-6
3y = -6+2x
put the value of 3y in equation 2nd
5x-2(-6+2x) =15
5x+12-4x = 15
x=3
put value of X in 3y = -6+2x
3y = -6+2*3 = -6+6 = 0
thus y = 0
7 0
3 years ago
Is every terminating decimal an integer?? Yes or no
sweet [91]
Integers do not have decimals...so ur answer is no. terminating decimals are not integers
7 0
3 years ago
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