MATHEMATICS HIGH SCHOOL

If p varies directly with q, and p = 10 when q = 5, what is the value of p when q = 20? A.p = 40

B.p = 1

C.p = 100

D.p = 28

Answers

Answer 1
Answer: A. p=40 because if you look at your question carefully q is half of p so if q=20 which is half of 40 then that means p=40

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What is the value of x?
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The vertices of a quadrilateral ABCD are A(1,1), B(1,5), C(5,5), and D(7,1).Part a) A trapezoid is a four-sided figure with exactly one pair of parallel sides. Is ABCD a trapezoid? Explain your answer. Part b) You want to transform ABCD into a parallelogram by only moving point B. A parallelogram is a four-sided figure with both pairs of opposite sides parallel. What should be the new coordinates of point B? Explain your answer.

For each sentence below, use the drop-down menu to select a symbol that correctly indicates the relationship.Three is less than a number. 3 < x
One more than a number is at least seven. x + 1 > 7
The maximum value of a number is 29. x < 29
The difference of a number and ten is at least 91. x - 10 > 91

Answers

Answer:

3 < x

  x + 1 \geq 7

 x \leq 29

x - 10 \geq 91

Step-by-step explanation:

Let the unknown number be x

Three is less than a number: for less than we use < symbol

3 < a number becomes 3 < x

One more than a number is at least seven: Number atleast 7 means 7 or more than 7. So we use ≥ 7. One more than a number is x+1

           x + 1 \geq 7

The maximum value of a number is 29: maximum value of x is 29 , so 29 or less than 29. Use ≤ symbol

            x \leq 29

The difference of a number and ten is at least 91: The difference of a number and 10 is x-10. For at least we use ≥ because 91 is included.

           x - 10 \geq 91
Three is less than a number.
3 < x

One more than a number is at least seven.
x + 1 ≥ 7

The maximum value of a number is 29.
x ≤ 29

The difference of a number and ten is at least 91.
x - 10 ≥ 91

The GDP is $11,465.2 billion. The population is 249,793,675. Find the per capita GDP.

Answers

Answer: $ 45898.68

Step-by-step explanation:

Given: Population = 249,793,675

GDP = $11,465.2 billion

Since we know that 1 billion = 1,000,000,000

Therefore, GDP =  $11,465,200,000,000

Also, the per capita GDP is calculated by :-

\text{per capita GDP}=\frac{\text{GDP}}{\text{Population}}\n\n=(11,465,200,000,000)/(249,793,675)\n\n=45898.6801808\approx\$45898.68

Hence, the per capita GDP = $ 45898.68
it would be  45898.68 $ for the capital gdp

Solve the following system by any method. 2x – 6y = 24 –5x + 6y = –6 A. (4, –1)
B. (0, –6)
C. (6, –1)
D. (–6, –6)

Answers

Answer:

D)  ( -6 , -6 ) .

Step-by-step explanation:

Given  : 2x – 6y = 24 and   –5x + 6y = –6 .

To find : Solve the following system by any method.

Solution : We have given that

2x – 6y = 24 -------(1)

–5x + 6y = –6 ------(2)

______________             ( Adding both equations)

-3x + 0 = 18.

________________

-3x = 18

On dividing by - 3 both sides

x = -6 .

Plugging the value x = -6 in equation 1.

2x - 6y = 24 .

2 ( -6) - 6y = 24.

-12 -6y = 24 .

On adding both sides by 12.

- 6y = 24 +12

-6y = 36

On dividing by -6 both sides.

y = -6 .

Solution ( -6 , -6 ) .

Therefore, D)  ( -6 , -6 ) .
2x - 6y = 24
-5x + 6y = -6
----------------add
-3x = 18
x = 18/-3
x = -6
 
2x - 6y = 24
2(-6) - 6y = 24
-12 - 6y = 24
-6y = 24 + 12
-6y = 36
y = 36/-6
y = -6

solution is : (-6,-6)

Find equations if the following lines: Line that is parallel to the graph of y = 3x – 2 and contains the point (-2,-5)

Answers

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If c = 8h +2 calculate c when h = 5

Answers

replace h with its val.ue and multiple with 8 then add 2:
8× 5 + 2 = 42
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John is a new employee at International Widget. Having studied human relations, he's eager to understand the supervisory style employed by his immediate supervisor. Which of the following is not especially important to John's insight?a. His supervisor's flexibility on work guidelines
b. Whether his supervisor enjoys particular sports or hobbies
c. The extent to which he (John) is expected to work independently
d. Whether his supervisor is more concerned about short-term or long-term work goals

Answers

The correct option is B. In order for John to understand the supervisory style employed by his immediate supervisor, he does not needs to know the type of sport that his supervisor enjoys, for that particular information is not related to how the supervisor expects John to handle office work. The other statements are John's job related and they are good means of getting insight into the supervisory style of a supervisor.
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