If the unit's and ten's digits of a two digits of a two digit number are y and x, then the number is

Step-by-step explanation:

Theoretical probability is the theory behind probability. To find the probability of an event using theoretical probability, it is not required to conduct an experiment. Instead of that, we should know about the situation to find the probability of an event occurring. The theoretical probability is defined as the ratio of the number of favourable outcomes to the number of possible outcomes.

Solution:

To find the probability of getting 5 while rolling a die, an experiment is not needed. We know that there are 6 possible outcomes when rolling a die. They are 1, 2, 3, 4, 5, 6.Therefore, the probability is,Probability of Event P(E) = No. of. Favourable outcomes/ No. of. Possible outcomes.P(E) = 1/6.Hence, the probability of getting 5 while rolling a fair die is 1/6.

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The table represents a linear equation, y = - 2x - 2.

The set of ordered pairings (x, y) where f(x) = y makes up the graph of a function.

These pairs are Cartesian coordinates of points in two-dimensional space and so constitute a subset of this plane in the general case when f(x) are real values.

From, The given table the list of ordered pairs are,

(1, - 4), (2, -6), (3, - 8), (4, - 10), and (5, - 12).

By observing the ordered pairs and patterns we can form an equation,

y = - 2x - 2.

If we put the values of 'x' the equation will satisfy the values of 'y'.

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Answer:

The simplest form of the fraction 24/3 is:

8/1 and the simplest form of the fraction 12/3 is:

4/1

Step-by-step explanation:

Hope this helps!

Answer: [tex]4\ in.[/tex]

Step-by-step explanation:

Given

Handy uses a scale of 1 inch to 2 foot i.e. 1 inch of drawing represents 2 foot

For 8 foot length of tree house he draw x inch(say)

[tex]\therefore \ \dfrac{1\ \text{inch}}{2\ \text{foot}}=\dfrac{x}{8}\\\\\Rightarrow x=8\times \dfrac{1}{2}\\\Rightarrow x=4\ in.[/tex]

So, handy draw 4 inches.

Answer:

6-5 = 7-6

Step-by-step explanation:

Answer:

n(A) + n(B) - n(AnB) = n(AUB)  

12 + 7 - n(AnB) = 10

19 - n(AnB) = 10

19 - 10 = n(AnB)

n(AnB) = 9

Step-by-step explanation:

Step-by-step explanation:

n(A)=12

n(B)=7

n(AUB)=10

n(AnB)=?

let,n(AnB) be x

We know that,

or, n(AUB) = n(A)+n(B)-n(AUB)

or, 10 =12+7+x

or, 10 =19+x

or, 10-19=x

or,9=x

so, the value of x is 9

then (AnB)=9

Answer:

M and N

Step-by-step explanation:

Answer:

Step-by-step explanation:Hly/3fcEdSxere's li[tex]^{}[/tex]nk to the answer:

bit.[tex]^{}[/tex]

Answer:

a 2 and 3 step by step exolaniation

Answer:

3x² + 30x

Step-by-step explanation:

width of a box = x units.

height of a box = 3 units.

length of a box = (x + 10) units.

Volume of the box = length × width × height

= (x + 10) * x * 3

= (x + 10) * 3x

= 3x² + 30x

Volume of the box = 3x² + 30x

Answer:

B. 10 x 10 = 100. 5 x 3 / 2 = 7.5. 100 - 7.5 = 92.5

Step-by-step explanation:

Answer:

16 ft.

Step-by-step explanation:

Distance Formula:

A = (2,2)

B = (12,14)

So, sqrt(12^2 + 10^2) = 16 ft.

This is the same for B to C.

So, 16 ft.

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Answer:

TO VERIFY :-

GENERAL TRIGONOMETRIC FORMULAES :-

SOLUTION :-

L.H.S. =

[tex]\csc \theta \times \cos \theta \times \sin \theta[/tex]

[tex]=> \frac{1}{\sin \theta} \times \cos \theta \times \frac{\sin \theta}{\cos \theta}[/tex]

[tex]=> \frac{\sin \theta \times \cos \theta}{\sin \theta \times \cos \theta}[/tex]

[tex]=> 1[/tex]

R.H.S. = 1

∴ L.H.S. = R.H.S. (Proved)

Answer:

GIVEN :-

TO VERIFY :-

SOLUTION :-

L.H.S. =

[tex]x+ (y + z)[/tex]

[tex]=> -\frac{1}{2} + (\frac{1}{2} + \frac{-1}{4} )[/tex]

[tex]=> -\frac{1}{2} + (\frac{2 - 1}{4} )[/tex]

[tex]=> -\frac{1}{2} + \frac{1}{4}[/tex]

[tex]=> \frac{-2 + 1}{4}[/tex]

[tex]=> -\frac{1}{4}[/tex]

R.H.S. =

[tex](-\frac{1}{2} + \frac{1}{2} ) + \frac{-1}{4}[/tex]

[tex]=> 0 - \frac{1}{4}[/tex]

[tex]=> -\frac{1}{4}[/tex]

∴ L.H.S. = R.H.S. (Verified)

Answer:

36

Step-by-step explanation:

Counting the squares: base = 12, height = 9.

We will use pythagorean theorem to find the third side.

Let it be x.

So,

   [tex]x^2 = 12^2 + 9^2\\x^2 = 144 + 8 1 = 225\\x = 15[/tex]

Perimeter of triangle = sum lengths of all sides

                                = 12 + 9 + 15

                                = 36 units

Answer:

73 x 51 x 1/2(basically just dividing by 2) = 1861.5

1861.5 x 86(width) = 160,089 86 yd^3 is your answer.

Step-by-step explanation:

Formula of area of a triangle:

BH x 1/2

B(base) x H(height) x 1/2

Answer:

use formula y2-y1/x2-x1

Step-by-step explanation:

=8-5/3-4

=3/-1

=-3

Answer:

-3/1

Step-by-step explanation:

(3,8)   4,5)

5-8 divided into    4-3

-3/1

Mark the point (3,8) on  the coordinate plan on graph paper. Then go 3 down,1 right, and you'll reach (4,5)      (from left to right, from 3,8 to 4,5)

3 down means  negative 3

1 right  means positive 1

Answer:

Female, E-Book=22

Male, Print=20

Total Female=44

Print total=42

Answer:

Step-by-step explanation:

Hope this helps u!!

Answer:

x = -8

Step-by-step explanation:

x + 6y = 16

→ Substitute in y = 4

x + 24 = 16

→ Minus 24 from both sides

x = -8

Answer:

B: This relationship is not a function because more than one amount of plant food remains each day

Step-by-step explanation:

It is given that Ryan did an experiment by observing the effects of plant food and the growth of the sprouting bean plant. He made a note of the height of the bean plant and the amount of food remaining in the container for the plant after feeding each day.

Thus he observed that the plant food in the container decreases by an equal amount everyday as the bean plant grew. Thus this states that it is not a  function between the two as there are more than one plant food remaining each day for the plant.

A relationship is a function when one element belongs to one thing.

Answer:

The domain is -2,4,6,8

Step-by-step explanation:

The domain is the input values

6,8,4,4,-2

We only need to write the repeat values once

The domain is -2,4,6,8

Given statement solution is :-  If there are 52 students ahead of Howard when he gets in the lunch line, he should expect it to take approximately 53 minutes before he sits down to eat.

According to the equation of the line given as "m = S + 1," where m represents the number of minutes elapsed and s represents the number of students ahead of Howard in the lunch line, we can substitute the value of s as 52 to find the expected number of minutes.

m = S + 1

m = 52 + 1

m = 53

Therefore, if there are 52 students ahead of Howard when he gets in the lunch line, he should expect it to take approximately 53 minutes before he sits down to eat.

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Step-by-step explanation:

the area of :

1) inside surface = (3.14× 1.25²)+(3.14×2.5×1.5)

= 4.90625 + 11.775 = 16.68125 m²

2) upper side surface= (3.14 × (1.35²-1.25²))

= 3.14× (1.8225-1.5625)= 3.14×0.26=0.8164m²

3) lateral surface= 3.14×2.7×1.6=13.5648m²

the total amount of vinyl required for the spa =

16.68125+0.8164+13.5648 = 31.06245 m²

Answer:

x = 10% saline solution = 190 mililiters

y = 60% saline solution = 10 mililiters

Step-by-step explanation:

Theodore needs to mix a 10% saline solution with a 60% saline solution to create 200 milliliters of a 12.5% solution. How many milliliters of each solution must Theodore use

Let

x = 10% saline solution

y = 60% saline solution

x + y = 200

x = 200 - y

10% × x + 60% × y = 200 × 12.5 %

Hence:.0.1x + 0.6y = 25

Substituting 200 - y for x

0.1(200 - y) + 0.6y = 25

20 - 0.1y + 0.6y = 25

- 0.1y + 0.6y = 25 - 20

0.5y = 5

y = 5/0.5

y = 10 milliliters

Solving for x

x = 200 - y

x = 200 - 10

x = 190 mililiters

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