MATHEMATICS HIGH SCHOOL

A basketball player has already scored 56 points of the game the team record for points in a game is 72 which equation would allow you to find how many more points to play needs to tie the record

Answers

Answer 1
Answer:

Answer:

The equation is:

x+56=72

Where x is the amount of points needed to tie the record

Step-by-step explanation:

In order to write the equation, we must have to understand the paragraph to find the known facts, the information that we want to find (unknown data) and the relation between them

Known facts:

  • Player scored points: 56
  • Team record points: 72

Unknown data:

  • How many more points the player needs to tie the record?

This unknown data is named as x (the variable to find)

In order to find the relation between known facts and unknown data, we analyze the paragraph:

According to the text, x is the amount of point that the player have to add to his current score (56) to tie the team record (72).

This analysis can be summarized in this sentence: "x plus 56 points must be equal to76 points"

Finally the equation is:

x+56=72
Answer 2
Answer: think this may be wrong but i think that it is 72-56=
the reason that i think its wrong is that you have nothing after the equils exept for the answer

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1.- I am a multiple of 3
- I am an odd number
- the sum of my digits is 6
- my ones is one more than my tens digit
- my hundreds digit is 5 times my one digit
what number am I?

2.
- all my digits are different
-my ones digit is 4 times my hundreds digit
- my thousands digit is a perfect square
-my ones digit is 3 more than my tens digit
what number am I?

Answers

Answer:

1. 501

2. 1258 or 4258 or 9258

Step-by-step explanation:

1. represent number (d3d2d1) in terms of x. let x = 10's digit (dxd) then

d2 = x

d1 = x + 1

d3 = 5(x + 1) = 5x + 5

d3 + d2 + d1 = 6

(5x + 5) + (x) + (x + 1) = 6

7x + 6 = 6

7x = 0

x = 0   SO

d3 = (5x + 5) = 5

d2 = 0

d1 = x + 1 = 1

501

2. d4d3d2d1 and d1 not = d2 not = d3 not = d4, let d3 = x and d2 = y then

d2 = y

d3 = x

d1 = 4x and d1 = y + 3 so 4x = y + 3 or y = 4x - 3

d4 = perfect square (1 or 4 or 9)

any d must be <= 9

d4d3d2d1 = (1 or 4 or 9)(x)(4x - 3))(4x) so x<3 (0,1,2) or d1 fails <= 9

(1,4,9)(0,1,2)((4x - 3 = (1,5))((4x = 0,4,8)

d3 (0,1,2) must be 2 because 0 does not work for d2 and 1 does not work for d1, so this make d1 (4x) = 8 so

(d4)(2)(4x - 3 = 5)(4x = 8) = d4 (1,4,9) and 258 so

1258 or 4258 or 9258

On a trip, the fare was 75¢ for each adult and 50¢ for each child. If 20 passengers paid $12.00, how many adults and children went?Which of the following equations could not be used to solve the problem?
A) 75x+50(20-x)=1200
B) 75(20 - x) + 50x = 1200
C) 75x + 50x = 20(1200)

Answers

There are two cases in which this question can be answered. In our first case, let the number of adults be x and that of the children, 20 - x. On the second case, we let x be the number of children and 20 - x for adults. In the first case, the total fare may be expressed as 50x + 75 (20 - x) = 1200 and 75x + 50 (20 - x) = 1200. The expression in the first case is in letter b and the second case in letter a. Therefore, the answer for this item is letter c. 

Answer:

letter c

Step-by-step explanation:

Verify the basic identity. What is the domain of validity? cot theta = cos theta csc theta

Answers

Both sides can be the domain of validity since both are just simple but what we are going to change is the right side.
Let us review that cot \alpha = (cos \alpha )/(sin \alpha ) and csc \alpha = (1)/(sin \alpha ).
So, to prove the following identity:
cot \alpha =cos \alpha csc \alpha
Let us substitute the value of csc with respect to sin.
cot \alpha =cos \alpha * (1)/(sin \alpha )
cot \alpha = (cos \alpha )/(sin \alpha )
cot \alpha =cot \alpha

Answer:

The domain of validity of the given identity is:

  • All real numbers except nπ where n belongs to integers.

Step-by-step explanation:

We are asked to prove the trignometric identity:

     \cot \theta=\cos \theta\csc \theta

We know that:

\cot \theta=(\cos \theta)/(\sin \theta)

Hence, the function cotangent is defined where the denominator is not zero i.e. all the real numbers except where sine function is zero.

We know that the zeros of sine function are of the type: nπ where n belongs to integers.

 Also, we can write the expression by:

\cot \theta=\cos \theta\cdot (1)/(\sin \theta)

We know that cosecant function is the reciprocal of the sine function.

i.e.

\csc \theta=(1)/(\sin \theta)

                 Hence, we get:

\cot \theta=\cos \theta\cdot \csc \theta

     

Jesse loves to go hiking on rustic trails through trees and along rivers. One day in 20 minutes of hiking she hiked 1 mile. If Jesse hike at a constant rate what would the rate be

Answers

Answer:

0.05 mile per minutes

Step-by-step explanation:

Jesse's rate of hiking (miles per minute) = Total miles covered / Time covered

Miles covered = 1 mile

Time covered = 20 minutes

Jesse's rate of hiking (miles per minute) = Total miles covered / Time covered(minutes)

= 1 mile / 20 minutes

= 0.05 mile per minutes

20 minutes

= 20 × 60 seconds

= 1200 seconds

Jesse's rate of hiking (miles per seconds) = Total miles covered / Total time taken (seconds)

= 1 mile / 1200 seconds

= 0.0008333333333 miles per seconds

Approximately 0.000833 miles per seconds

Find the solution to the following equation by transforming it into a perfect square trinomial.x2 – 12x = 13

       {46, 55}
       {–1, 13}
       {–15, 27}
       {–21, 33}

Answers

x^(2) -12x=13\ \ \ \Leftrightarrow\ \ \ x^2-2\cdot x\cdot 6+6^2-6^2=13\n\n \Leftrightarrow\ \ \ (x-6)^2=13+36\ \ \ \Leftrightarrow\ \ \ (x-6)^2=49\ \ \ \Leftrightarrow\ \ \ (x-6)^2=7^2\n\nx-6=7\ \ \ \ \ \ \ or\ \ \ \ \ \ \ \ x-6=-7\n\nx=13\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ x=-1\n\nAns.\ x\in \{-1,\ 13\}
x² -12x  = 13                       way to obtain 36   >       (-12/2)²  =  36    
x²  -12x + 36 =13 +36      since we add 36 to the left,we must also add 36 to the right
(x-6)²  =  49
x-6  =    7
x  =    7 + 6 =  13    or      -7 + 6  = -1
x =  -1    or    13

If an item weighs 45 kilograms, what is its weight in pounds?

Answers

Answer:

45 kilogram =  99.208 pound.

Step-by-step explanation:

Given  : If an item weighs 45 kilograms,

To find : what is its weight in pounds.

Solution : We have given that

Weighs = 45 kilograms.

1 kilogram  = 2.20462 pound .

45 kilogram = 2.20462 * 45.

45 kilogram =  99.208 pound .

Therefore, 45 kilogram =  99.208 pound.

The weight of 45 kg is equal to 99.21 pounds.

To convert 45 kilograms to pounds,

We have to use a conversion factor.

The conversion factor is 2.20462 pounds per kilogram.

Therefore,

To find the weight of an item in pounds,

We have to multiply its weight in kilograms by 2.20462.

So,

Multiplying 45 kilograms by 2.20462 pounds per kilogram

We get a weight of approximately 99.21 pounds.

It's important to note that kilograms and pounds are both units of mass, but they are used in different parts of the world.

Kilograms are the standard unit of mass in the metric system,

while pounds are commonly used in the United States and the United Kingdom.

Hence,

An item that weighs 45 kilograms has a weight of approximately 99.21 pounds.

To learn more about the measurement unit visit:

brainly.com/question/777464

#SPJ6
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