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mezya [45]
3 years ago
11

There are 6 dogs and 12 cats in the backyard. Write the ratio of cats to total animals In 3 ways, in simplest form.

Mathematics
1 answer:
Luda [366]3 years ago
5 0

Step-by-step explanation:

12:18

12 to 18

12/18 = 2/3

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It takes Dennis 1 hour to drive 65 miles, 2 hours to drive 130 miles, and 3 hours to drive 195 miles. Write an equation for the
lesya692 [45]

Answer:

y=65x

Step-by-step explanation:

x represents the # of hours

6 0
3 years ago
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Paul has 12 coins in his pocket, consisting entirely of dimes and quarters. If he has a total of 195 cents in coins, how many co
anyanavicka [17]

Let x be the number of dimes

and y be the number of quarters

Total number of coins = 12

So number of dimes + number of quarters = total number of coins

x + y = 12 ---------> equation 1

We know, 1 Quarter = 25 cents, 1 Dime = 10 cents, total cents = 196

y quarters = 25y cents , x dimes = 10x cents

x dimes + y quarters = 195 cents

10x + 25y = 195 -----------> equation 2

Now solve both equations

x + y =12, we solve for y by subtracting x on both sides

y = 12-x

Now substitute y in second equation

10x + 25(12-x) = 195

10x + 300 -25x = 195 (combine like terms)

-15x + 300 = 195 (subtract 300 on both sides)

-15x = -105 ( divide by -15)

x=7

y= 12-x

y=12-7 = 5

The number of dimes = 7

Number of quarters = 5






8 0
3 years ago
If cos θ > 0 and tan θ > 0, which of the following statements MUST be true? (5 points)
solniwko [45]

Yo sup??

cosx>0 in the 1st and 4th quadrant.

tanx>0 in the 1st and 3rd quadrant.

therefore the common solution is x lies in 1st quadrant.

Hence the correct answer is option A.

Hope this helps

5 0
3 years ago
Points J and K lie in plane H.
Vlad [161]

Answer: 1

Step-by-step explanation:

From the given picture, it can be seen that there is a plane H on which two pints J and K are located.

One of the Axiom in Euclid's geometry says that <em>"Through any given two points X and Y, only one and only one  line can be drawn "</em>

Therefore by Axiom in Euclid's geometry , for the given points J and K in plane H , only one line can be drawn  through points J and K.

6 0
3 years ago
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This is a pyramid problem so please help out
Degger [83]

Answer:

Step-by-step explanation:

LA, Laterial Surface Area, is the lateral surface area of a pyramid. In this case, it is the sum of five triangles with base of 12cm and height that can be calculated as follow:

height^2 = 8.26^2 + 20^2 = 468.23

height = 21.64cm

LA = 5*1/2*12*21.64

= 649.2cm^2

SA, Surface Area, is the sum of LA and base area.

Base area = 5*1/2*12*8.26 = 247.8cm^2

SA = 649.2 + 247.8 =897cm^2

Volume, V = 1/3 * base area * height

= 1/3 * 247.8 * 20

= 1652cm^3

4 0
3 years ago
Read 2 more answers
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