There are 5 dogs and 9 cats at a veterinary clinic. Which choice lists the ratios in the order of cats to dogs, dogs to cats, then cats to total number of animals?

Answer:

i) The probability that the number on the ticket is even is [tex]\mathbf{\frac{1}{2}}[/tex]

ii) the probability that the number on the ticket is a number less than 16 is [tex]\mathbf{\frac{6}{23}}[/tex]

iii) The probability that the number on the ticket is a perfect square is [tex]\mathbf{\frac{5}{46} }[/tex]

iv) the probability that the number on the ticket is a prime number less than 30 is [tex]\mathbf{\frac{4}{23} }[/tex]

Step-by-step explanation:

Tickets numbers are: 4, 5, 6......48, 49

So, total tickets in box = 46

We need to find probability that the number on the ticket is:

i) an even number.

Even number in tickets are: 4,6,8,10,12,14,16,18,20,22,24,26,28,30,32,34,36,38,40,42,44,46,48

Total number of favourable outcomes = 23

So, the formula used is: [tex]Probability=\frac{Number\:of\:favourable\:outcomes}{Total\:number\:of\:outcomes}[/tex]

Total number of outcomes = 46

Number of favourable outcomes = 23

Putting values and finding probability

[tex]Probability=\frac{Number\:of\:favourable\:outcomes}{Total\:number\:of\:outcomes}\\Probability=\frac{23}{46}\\Probability=\frac{1}{2}[/tex]

So, the probability that the number on the ticket is an even number is [tex]\mathbf{\frac{1}{2}}[/tex]

ii) A number less than 16

Even number in tickets are: 4,5,6,7,8,9,10,11,12,13,14,15

Total number of favourable outcomes = 12

So, the formula used is: [tex]Probability=\frac{Number\:of\:favourable\:outcomes}{Total\:number\:of\:outcomes}[/tex]

Total number of outcomes = 46

Number of favourable outcomes = 12

Putting values and finding probability

[tex]Probability=\frac{Number\:of\:favourable\:outcomes}{Total\:number\:of\:outcomes}\\Probability=\frac{12}{46}\\Probability=\frac{6}{23}[/tex]

So, the probability that the number on the ticket is a number less than 16 is [tex]\mathbf{\frac{6}{23}}[/tex]

iii) a perfect square

Perfect squares are: 4,9,16,25,36

Total number of favourable outcomes = 5

So, the formula used is: [tex]Probability=\frac{Number\:of\:favourable\:outcomes}{Total\:number\:of\:outcomes}[/tex]

Total number of outcomes = 46

Number of favourable outcomes = 5

Putting values and finding probability

[tex]Probability=\frac{Number\:of\:favourable\:outcomes}{Total\:number\:of\:outcomes}\\Probability=\frac{5}{46}[/tex]

So, the probability that the number on the ticket is a perfect square is [tex]\mathbf{\frac{5}{46} }[/tex]

iv)  a prime number less than 30.

Prime numbers less than 30 are: 5,7,11,13,17,19,23,29

Total number of favourable outcomes = 8

So, the formula used is: [tex]Probability=\frac{Number\:of\:favourable\:outcomes}{Total\:number\:of\:outcomes}[/tex]

Total number of outcomes = 46

Number of favourable outcomes = 8

Putting values and finding probability

[tex]Probability=\frac{Number\:of\:favourable\:outcomes}{Total\:number\:of\:outcomes}\\Probability=\frac{8}{46}\\Probability=\frac{4}{23}[/tex]

So, the probability that the number on the ticket is a prime number less than 30 is [tex]\mathbf{\frac{4}{23} }[/tex]

Answer:

a = 22

switch the sides (a + 2) = 24

a + 2 = 24

subtract 2 from both sides

a = 22

Question isn't complete so we assume you wish to solve the equation above

`x-0.1x+2.70=56.70

Answer:

Step-by-step explanation:

To solve this equation

x-0.1x+2.70=56.70

We first find like terms and then subtract both sides of the equation

x-0.1x+2.70=56.70= 1x-0.1x+2.70=56.70

Add like terms

0.9x+2.70=56.70

Subtract both sides of equation

0.9x=56.70-2.70

Divide both sides

0.9x=54

x=54/0.9

x= 60

Answer:

Numbers 3 and 7

Step-by-step explanation:

2163÷3= 721

2163÷6= 360.5

2163÷36= 60.08

2163÷7= 309

The answer is number 3 and 7 since both can be divided by 2163 without having remainders like number 6 and 36

Answer: 3

Step-by-step explanation:

Answer:

A hash mark.

Step-by-step explanation:

The marks or intervals on a ruler are called hash marks. That particular hash mark measures 0 millimeters. Hash marks are used for telling the measurement of an object.

Answer: y = 25x -10

Step-by-step explanation:

Answer:

The five methods are physical description, action, inner thoughts, reactions, and speech.

Step-by-step explanation

An algebraic expression to represent the perimeter of the isosceles triangle with base length x - 10 and legs of length x is equal to y = 3x -10.

As given,

In isosceles triangle

Base length=x - 10

Length of the legs=x

Let y be perimeter of the triangle

Algebraic expression is

Perimeter of isosceles triangle =sum of all the legs length

⇒y=x - 10 +x + x

⇒y=3x -10

Therefore, an algebraic expression to represent the perimeter of the isosceles triangle with base length x - 10 and legs of length x is equal to

y = 3x -10.

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Answer:

700

Step-by-step explanation:

Please give brainliest

Divide 1750 by 5 and get 350.

350 times 2 is 700

Answer:

if you need help with any other question i got you but i cant see like 30% of the whole problem

Answer:

Step-by-step Turn 7 into a fraction

3/5 ÷ 7/1

Use the recipricle and multiply

3/5 x 1/7

Multiply across

3/35

And that's it! :)

Answer:

5/21

Step-by-step explanation:

Here is a strategy I want you to remember: Keep, Change, Flip. What do I mean by that? Well...

Keep the first fraction. Change the division sign into a multiplication sign. Make the numerator of the second fraction become the denominator--and make the denominator of the second fraction become the numerator.

The denominator of any whole number is always 1. So, 7 equals to 7/1. Time to find the reciprocal of 7/1! What does reciprocal mean?

Reciprocal - Flip the fraction in terms of the numerator and denominator; Multiplicative Inverse

1/7 is the reciprocal of 7/1, for this mathematical problem. Makes sense, right?

Now, 5 times 1 equals 5 (that is the numerator). Secondly, 3 times 7 equals 21 (that is the denominator).

[tex]\frac{5}{3} * \frac{1}{7} = \frac{5}{21}[/tex]

Answer:

B

Step-by-step explanation:

The required graph that represents the system of the equation and their solution is shown. Option D is correct.

Given that,

To determine the graph which shows the system of equation 8x-4y=-16 3x+15y=-6 and their solution,

The graph is a demonstration of curves that gives the relationship between the x and y-axis.

Here,
The given system of equations is 8x-4y=-16 3x+15y=-6,
The solution of the above equation is given when applying methods like substitution, elimination and sublimation is (-2,0).

Plotting the graph of the system of equations it comes out to be as shown.

Thus, the required graph that represents the system of the equation and their solution is shown. Option D is correct.

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9514 1404 393

Answer:

  see below

Step-by-step explanation:

In a proportional relationship, the ratio of y to x is the same for all values of x and y. Here, you can determine if that is the case by looking at the first two table entries in each table.

  A. -4/1 = -12/3 . . . proportional

  B. -5/1 ≠ -13/3 . . . not proportional

  C. -4/1 ≠ -16/3 . . . not proportional

  D. -8/1 ≠ -20/3 . . . not proportional

Answer:y=mx+b

m=slope

Step-by-step explanation:

the slope is 8

The slope of line is 8.

Given that,

According to the scenario, calculation of data are as follows,

Formula for slope of parallel line is as follows,

y = mx + b ( where m = slope)

So, by comparing both equations we get,

m = 8

or slope of line = 8

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Answer:

(x-2)-1=2

(x-2)-1 +1=2+1

(x-2)=3

x=3+2

x= 5

Answer:

320

Step-by-step explanation:

first we find the base of the box which is 8 x 4 = 32. then take base x height whcih is 32 x 10 = 320

Answer:

9ft. (B)

Step-by-step explanation:

Pythagoras theorem( a²+ b²= c²)

=a²+4²=10²

a²+16=100

a²=100-16

a²=84

a=√84

=9.1

approx. =9

Answer:

a = 20 and b = 21

Step-by-step explanation:

Given:

2a-3b = -23

a and b are consecutive

Find:

a and b

Computation:

a = b - 1

So,

2a-3b = -23

2(b-1)-3b = -23

2b - 2 - 3b = -23

-b = -21

b = 21

So

a = b - 1

a = 21-1

a = 20

A triangle's opposite side is split in half by an angle bisector into two segments that are proportional to the other two sides.

We can solve this problem by using the formula explained in the angle bisector theorem below.

Angle Bisector theorem :

            In the below image, PS is the angle bisector of ∠P in ΔPQR.

As a result, we can state that by using the angle bisector theorem as

PQ/PR = QS/SR

or

a/b = x/y.

By this, we can solve the angle bisector theorem.

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Answer:

-2/3

Uhh I need 20 characters so here

-2/3, if -1/3 is 0.333333333333333333333, double that, -0.666666666666, would have to be -2/3

The initial number of party favor bags Razee had to fill were 48 bags.

Here, we will use arithmetic progression to solve this problem.

We are given that:

At 4 minutes, 36 bags were remaining.

At 5 minutes, 32 bags were remaining.

At 6 minutes, 28 bags were remaining.

At 7 minutes, 24 bags were remaining.

This can also be written as:

a₄ = a + 3d = 36

a₅ = a + 4d = 32

a₆ = a + 5d = 28

a₇ = a + 6d =24

where a is the initial number of party favor bags.

a₅ - a₄ = a + 4d - a - 3d

a + 4d - a - 3d = 32 - 36

d = -4

a + 3d = 36

a + 3(-4) = 36

a - 12 = 36

a = 36 + 12

a = 48

Therefore, the initial number of party favor bags Razee had to fill were 48 bags.

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The time taken by the plain if it flies at a speed of 800 km/h is 6 hours 45 minutes

Given,

Time taken by plain to fly from Los Angeles to New York = 6 hours

Speed of plain = 900 km/h

We have to determine the time taken by the plain if it flies at a speed of 800 km/h

Distance cover by plain = speed x time = 900 x 6

Distance cover by plain = 5400 kilometer

New time taken by plain = Distance cover by plain / New speed of plain

New time taken by plain = 5400 / 800

New time taken by plain = 6 hours 45 minutes

That is, the time taken by the plain if it flies at a speed of 800 km/h is 6 hours 45 minutes

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An actual measurement represents a reading that is taken manually at the physical thickness measurement location on the equipment.

actual measurement = 8.6cm(bird's height), ? (beak)

photo measurement = 52.4(birds height), 1.1 (beak)

if 52.4 = 8.6

1.1 = 1.1 x 8.6

         52.4

= it is roughly 0.18cm

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Answer:

Takes her 2 hours

Step-by-step explanation:

oof whats that

Step-by-step explanation:

Answer: y= - ( x - 5) ( x + 7)

Step-by-step explanation: The x-intercepts are at -5 and 7. when you don’t have a negative symbol before the parentheses, that indicates that the parabola will be shaped like a U. when you do, it’s shaped the opposite of a U. and now look at the equation answer.