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pantera1 [17]
4 years ago
13

At the local animal shelter, there are 35 cats and 42 dogs. What is the ratio of dogs to cats at the local animal shelter?

Mathematics
1 answer:
postnew [5]4 years ago
6 0

9514 1404 393

Answer:

  6 : 5

Step-by-step explanation:

The ratio is ...

  dogs : cats = 42 : 35 = (7·6) : (7·5) = 6 : 5

The ratio of dogs to cats at the shelter is 6 to 5.

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Few Questions! NEED HELP PLEASE , CONFUSED!!
Firdavs [7]
Multiples of 11 between 1 and 30:

11, 22

So there are 2 numbers that are multiples of 11 in the bin. There are a total of 30 cards, so the probability is written as 2/30. Or we can simplify it to 1/15.

For the next question:

There are a total of 3 + 8 = 11 balls in the bag.

The probability of choosing a red ball is 3/11.

The probability of choosing a green ball is 8/11.

Multiply the three fractions:

3/11 * 3/11 * 8/11 = 72/1331

So the probability is 72/1331.

For the last question:

A standard deck of cards has 52 cards.

There are 4 queens and 4 kings in the deck.

Probability of choosing a queen is 4/52, and the probability of choosing a king AFTER you already chose a queen is 4/51.

Multiply the two fractions:

4/52 * 4/51 = 16/2652

So the probability is 16/2652 or 4/663
7 0
3 years ago
A circle is centered at the point (-7, -1) and passes through the point (8, 7).The radius of the circle is____ units. The point
denis-greek [22]

Answer:

Part 1) The radius of the circle is r=17 units

Part 2) The points (-15,14) and (-15,-16) lies on this circle

Step-by-step explanation:

step 1

Find the radius of the circle

we know that

The distance between the center of the circle and any point on the circle is equal to the radius of the circle

the formula to calculate the distance between two points is equal to

d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}

we have

(-7, -1) and (8, 7)

substitute

r=\sqrt{(7+1)^{2}+(8+7)^{2}}

r=\sqrt{(8)^{2}+(15)^{2}}

r=\sqrt{289}

r=17\ units

step 2

Find out the y-coordinate of point (-15,y)

The equation of the circle in standard form is equal to

(x-h)^2+(y-k)^2=r^2

where

(h,k) is the center

r is the radius

substitute the values

(x+7)^2+(y+1)^2=17^2

(x+7)^2+(y+1)^2=289

Substitute the value of x=-15 in the equation

(-15+7)^2+(y+1)^2=289

64+(y+1)^2=289

(y+1)^2=289-64

(y+1)^2=225

square root both sides

(y+1)=(+/-)15

y=-1(+/-)15

y=-1(+)15=14

y=-1(-)15=-16

therefore

we have two solutions

point (-15,14) and point (-15,-16)

see the attached figure to better understand the problem

8 0
3 years ago
A researcher wishes to be 95 confident that her estimate of the true proportion
marysya [2.9K]
The answer would be 95/100 = 0/100 I hope this helped ^^
4 0
3 years ago
Please helppp with this questions
SpyIntel [72]

Answer:

Sorry for the wait.

Step-by-step explanation:

5. the two bottom angles are the same btw

2x+2x+x-15=180\\5x-15=180\\5x-15+15=180+15\\5x=195\\5x/5=195/5\\x=39

6. straight lines are 180

3x+17+x-9=180\\4x+8=180\\4x+8-8=180-8\\4x=172\\4x/4=172/4\\x=43

7. another 180

2x-4+3x+5+2x+11=180\\7x-10=180\\7x-10+10=180+10\\7x=190\\7x/7=190/7\\x=27.14\\

8. 90 degree angle

x+x+4+3x-9=90\\5x-5=90\\5x-5+5=90+5\\5x=95\\5x/5=95/5\\x=19

5 0
3 years ago
Which of the following is the best first step in solving the equation below?
likoan [24]

im assuming you wrote 4logsx instead of 4log5x here

Answer is a) log5x = 7

Just diving both sides by 4 to isolate the log

4 0
3 years ago
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