Mean for 92,63,22,80,63,71,44,35

Answer: the present age of son is 15 years, and the present age of father is 45 years.

Step-by-step explanation:

Let the age of son be 'x' and that of his father be 'y'.

So according to the question, the 1st equation that can be formed will be:

y = 3(x) ->(1)

[as father's age is 3 times the age of son]

Now after 5 years:

Age of son = (x+5)

Age of father = (y+5)

So according to the question, the 2nd equation that can be formed will be:

(y+5) = 2.5×(x+5) ->(2)

[as father is now two and half times old as his son]

Substituting the value of equation (1) in (2), we get:

(3x+5) = 2.5×(x+5)

=> 3x + 5 = 2.5x + 12.5

=> 3x - 2.5x = 12.5 - 5

=> 0.5x = 7.5

=> x = 7.5/0.5 = 15

Thus, the present age of son is 15 years.

Note : we can calculate the age of father by putting the value of x in equation (1) or (2):

y = 3(x) = 3 × 15 = 45 (putting x in equation 1)

Thus, the present age of father is 45 years.

Answer:

eight two point baskets

Step-by-step explanation:

3 points = 9 points

1 points = 5 points

9+5= 14

30-14= 16

= 16/2

=8

Answer:

C; Basketball

Step-by-step explanation:

Although Greg Ridley wants to play for the Scorpions when he grows up, he learns along the way that there are things that are more important, hence the use of the term "treasure."

He learns from this that memories, friendships, and family are all that matters and if having to let go of basketball to sustain the aforementioned elements (which may or may not be an easy thing to do), then it is much more of a necessity than a choice.

Hope this helped! :D

Answer:

3:25

Step-by-step explanation:

The photo shows how it's solved.

Answer: 3:25

Step-by-step explanation:

Step 1) Convert the decimal number to a fraction by making 0.12 the numerator and 1 the denominator

0.12 = 0.12/1

Step 2) Multiply the numerator and denominator by 100 to eliminate the decimal point.
0.12 x 100

------------ = 12/100
1 x 100

Step 3) Simplify the fraction in the previous step by dividing the numerator and the denominator by the greatest common factor (GCF) of 12 and 100. (The GCF of 12 and 100 is 4.)

12 ÷ 4

---------  = 3/25  

100 ÷ 4

Step 4) Convert the fraction in the previous step to a ratio by replacing the divider line with a colon like this:  

3  

25   =  3:25

Answer:

224

Step-by-step explanation:

Bxh 32x7= 224

[~S & (R V S)] ≡ (Q ⊃ S) is true when A = T, S = F, R = F, and Q = T by substituting the propositional variables.

A truth table is a table used to determine the truth values of a compound proposition, which is a logical statement made up of simpler propositions using logical operators such as "and" (represented by "&"), "or" (represented by "V"), "not" (represented by "~"), conditional (represented by "⊃"), and biconditional (represented by "≡").

Let's substitute the given truth values for the propositional variables in the given statement:

[~F & (F V F)] ≡ (T ⊃ F)

Using the truth table for conjunction (represented by "&") and disjunction (represented by "V"), we can simplify the left-hand side of the equivalence:

[T & F] ≡ (T ⊃ F)

Using the truth table for conditional (represented by "⊃"), we can simplify the right-hand side of the equivalence:

F ≡ F

Since both sides of the equivalence have the same truth value, the statement is true.

Therefore, [~S & (R V S)] ≡ (Q ⊃ S) is true when A = T, S = F, R = F, and Q = T.

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No se solo quiero los puntos

The angle measure of x, y and z are 104, 76 and 104 degrees respectively

The given. figure is a parallelogram with 4 interior angles. In a parallelogram, the sum of its adjacent angle is 180 degrees and its opposite angles are equal.

<A = <C

x = 104 degrees

For the measure of y:

x + y = 180

104 + y = 180

y = 180 - 104

y = 76 degrees

Since the sum of angles on a straight line is 180 degrees, hence;

y + z = 180

76 + z = 180

z = 104 degrees

Hence the measure of x, y and z are 104, 76 and 104 degrees respectively

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Answer:

202.5 Minutes

12150 Seconds

Hope this helps!

Have a nice day :D

Give brainliest if possible pls

Answer:

horas 3.375. minutos 202.500. segundos  1.215e+7.

Step-by-step explanation:

The 3 possible outcomes for x in the charity will be {4000,10 , 0} .

In probability theory, an outcome is a likely result of an experiment or trial.  Each possible outcome of a single experiment is unique, and multiple outcomes are frequently mutually exclusive (only one outcome will occur on each trial of the experiment).

The sample space of an experiment includes all possible outcomes. A basic event is one that has only one outcome. An experiment's sample space is the sector that includes all possible results. A single ending could appear in multiple instances.

Any subset of the sample space is considered an episode when the sample space is finite.

now the sample space for the experiment will be:

x={4000,10,0} . There are only 3 possible outcomes.

Either the grand prize of 4000 , or a prize of 10 or nothing.

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Answer:

Step-by-step explanation:

here you go mate

step 1

-2(-4x-1)-x+3=−30  equation/Question

step 2

-2(-4x-1)-x+3=−30  distribute

7x+5=-30

step 3

7x+5=-30  subtract 5

7x=-35

step 4

\(\frac{7x}{7} =\frac{-35}{7}\)  divide

answer

x=-5

Answer:

-2(-4x-1)-x+3=-30

8x+2-x+3=-30

7x+5=-30

7x=-30-5

7x=-35

x=-35÷7

x=-5

Answer:

24

Step-by-step explanation:

Answer:

the area of triangle is 1/2 B*h

Step-by-step explanation:

1/2 *4*10

i.e 20cmsquare .

Answer:

0 liters

Step-by-step explanation:

The first step in solving this problem is to find the volume of water that was originally in the tank when it was filled up to of its height. Since the tank is rectangular, we can use the formula for the volume of a rectangular prism:

Volume of tank = length x width x height = 100 cm x 80 cm x 30 cm = 240,000 cm³

Since the tank was filled up to of its height, the volume of water in the tank at this point is:

Volume of water in tank = 100 cm x 80 cm x 30 cm x 0.5 = 1,200,000 cm³

To find the amount of water that was poured into the tank to fill it up to 3 of its height, we need to subtract the volume of water that was originally in the tank from the total volume of water when it is 3 filled, which is 384 liters or 384,000 cm³ (since 1 liter = 1000 cm³):

Volume of water poured into tank = Volume of water when 3 filled - Volume of water in tank at of its height

= 384,000 cm³ - 1,200,000 cm³

= -816,000 cm³

Wait a minute, this result is negative, which means there was no water poured into the tank to reach the 3 filled level. In fact, it suggests that there was an excess of water that had to be removed from the tank to reach the desired level. This could be because the dimensions of the tank were not exact or because the tank was not level when filled to the first level.

Therefore, the answer to the problem is 0 liters or 0 cm³.

Note: It is important to always check the result of a calculation to ensure it makes sense in the context of the problem. In this case, the negative volume of water poured into the tank indicates that there may be an error in the problem statement or in the measurements provided.

Answer:

67

Step-by-step explanation:

complementary mean it equals 90 degrees

90-23 = 67

m<2=67

Answer:

------------------------------

Given is a quadratic equation:

A quadratic equation has no real solutions if its discriminant is negative.

The discriminant of ax² + bx + c is:

Apply to given equation:

Find the value of n when D < 0:

According to the information, the vertex at the top left of the parallelogram is (4, 8.25). Thus, the other two vertices of the parallelogram are (2, 5), (9, 5), (7, 8), and (4, 8.25).

To find the vertex of the parallelogram we can use the point-slope form of a line: y - y1 = m(x - x1), where,

For the side sloping up from left to right, we can use the point (2, 5), since it is on the bottom side of the parallelogram. Plugging in the values, we get:

Simplifying, we get:

To find the point where this line intersects the top side of the parallelogram, we can use the fact that the length of the sloping side is 5 units. We know that the endpoint of the bottom side at (2, 5) is 5 units away from the intersection point in the x-direction, so we can add 5 to the x-coordinate to find the intersection point. Plugging in x = 7 into the equation above, we get:

Therefore, the vertex at the top right of the parallelogram is (7, 8).

For the side sloping down from left to right, we can use the point (9, 5), since it is on the bottom side of the parallelogram. Plugging in the values, we get:

Simplifying, we get:

To find the point where this line intersects the top side of the parallelogram, we can again use the fact that the length of the sloping side is 5 units. We know that the endpoint of the bottom side at (9, 5) is 5 units away from the intersection point in the x-direction, so we can subtract 5 from the x-coordinate to find the intersection point. Plugging in x = 4 into the equation above, we get:

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\( \frac{132 }{2?} = 66\)

Answer:

The answer is 3.64m

This is because if you draw a diagram, and label all the sides of the triangle (opp, hyp, adj), the adjacent angle is 3m. You can now use the sine rule to find the hypotenuse (length of ladder) by doing: cos 30= 3/h. You divide cos 30 by 3 and you get the answer of 3.64m rounding to 2 decimal places.

Answer:

2nd answer choice

Step-by-step explanation:

We want to know which one does not have a two digit quotient, or answer. Let us use guess and check since there are only 4 options.

Option 1:

519/6=86 R3

This answer is wrong because it has a two digit quotient

Option 2:

915/7=130 R5

This answer is correct since it has a three digit quotient, but let's find the rest

Option 3:

439/7=62 R5

This answer is wrong because it has a two digit quotient

Option 4:

812/9=90 R2

This answer is wrong because it has a two digit quotient

Therefore option 2 is correct

I will like to know what you need help with?

Answer:

$8.4

Step-by-step explanation:

2 pounds of peaches cost $4.20

1 pound of peaches costs = 4.20 /2

4 pounds of peaches cost =\(\frac{4.20 *4}{2} \\8.4\)

4 pounds of peaches cost $8.4

Answer:

The answer in standard form to the given expression is 6x⁵ - 5x⁴ + 6x³ - x² + 12x - 31

Step-by-step explanation:

(-5x⁴ + 6x³ - 43) + (6x⁵ - x² + 12x + 12)

Combine like terms. When the problem says to put the equation in standard form, it means that the terms will go in order from greatest to least exponential number.

6x⁵ - 5x⁴ + 6x³ - x² + 12x - 31

For the information given in the statement you have

Then

Solving for x

Therefore, there are 49 green balls.

Answer:

n=-517

n+516=-1

subtract 516

Answer:

$71

Step-by-step explanation:

Since x denotes the number of miles and we know that the car rode 100 miles, this means that x=100, and when we plug this in, we get C(x) = 0.5* 100 + 21 = 50 + 21 = $71. Hope this helps!

Answer:

C(100) = 71

Step-by-step explanation:

C(x) = .5x+21

Let x= 100

C(100) = .5(100)+21

         = 50+21

        = 71

Answer: 283.3333333% (283.3%)

Step-by-step explanation:

First, lets turn 2 5/6 into and improper fraction. It becomes 17/6.

Now, we divide 17/6

17/6 = 2.833333333

Now, to turn it into a percent, we multiply it by 100, or move the decimal point 2 places to the right. That gives us 283.3333333% (283.3%)

Hope this helps!

Answer:

a = -2.57 and b = 2.57

Step-by-step explanation:

Explanation:

Given mean of the Population = 212

Standard deviation of the Population = 122

Let  X be the random variable of the Normal distribution

\(Z = \frac{x-mean}{S.D}\)

Given P( a ≤ z ≤b) = 0.99

  put a=-b

         P( -b ≤ z ≤b) = 0.99

   ⇒     |A( b) - A( -b)| =0.99

    ⇒     | A( b) + A( b)| =0.99  

   ⇒       2 |A (b)| = 0.99

     ⇒     | A(b)| = 0.495

From normal table find value in areas

          b = 2.57 ( see in  normal table)

         Given a =-b

                   a = - 2.57

Answer:

Step-by-step explanation:

Cardinality of a set is defined as number of element in a set. It is represented as n(X) where X is any set.

a) Given the set A =(x l x € N and 20.< x<27). According to the set, the set contains the values of natural numbers between 20 and 27. The values are 21, 22, 23, 24, 25 and 26

A = (21, 22, 23, 24, 25, 26)

According to the set A, it can be seen that there are 6 elements in the set, this means n(A) = 6.

b) Given B=(x | xeN and x+1=x)

Since natural numbers starts from 1, the first element in the set is 2 i.e 1+1

The elements of the set B = (2, 3, 4, 4...)

The number of whole number in the set is therefore infinite.

c) For the set C={x l xe N and (x- 1)(x - 9) = 0)

We need to get the root of the equation  (x- 1)(x - 9) = 0

x-1 = 0 and x-9 = 0

x = 1 and x = 9

Hence the element C = (1,9)

The number of whole number in the set is n(C) = 2

d)  D={xlx E N, H X 5 100, and x is divisible by both 5 and 8)

Given the value of x between 5 and 100, the values of x divisible by 5 = (10, 15, 20, 25, 30, 35, 40, 45, 50 , 55, 60 , 65, 70, 75, 80 85, 90, 95)

values of x divisible by 8 = (16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96)

The total number of elements in both set = 29 i.e n(D) = 29

The given system of equations represents the cost of 4 cups of tea and the total cost of tea and lemonade.

What is the system of equations?

A system of equations usually referred to as an equation system, is a collection of finite equations for which common solutions are sought.

Here, we

Suppose the number of cups of tea and lemonade is t and l respectively.

Then, the following equations can be formed for the given case,

The equation for total cost is given as,

4t + 2l = 120...(1)          

And, the equation for the number of cups is given as,

l = 5t...(2)                    

Now, the term 4t in equation (1) represents the cost for 4 cups of tea, and 120 represents the total cost.

Hence, the given system of equations represents the cost of 4 cups of tea and the total cost of tea and lemonade.

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Step-by-step explanation:

I hope this answer is helpful ):

Answer:

y= -3/5x + 12/5

Step-by-step explanation:

Remember, the formula is y= mx + b

#1 So we're gonna put it into that order by subtracting 3x from both sides:

3x + 5y= 12

-3x           -3x

We are left with this:

5y= -3x + 12

#2 Now we will divide 5 to both sides to isolate the variable

5y/5= -3x/5 + 12/5

#3 Now that the variable is isolated we are left with the answer:

y= -3/5x +12/5

Hope this helps :)