MATHEMATICS HIGH SCHOOL

Within the metric system all units are based on the number A. 100.
B. 1000.
C. 1.
D. 10.

Answers

Answer 1
Answer: We want to know what is the basis of al units in tne metric system. The metric system is a set of decimal-based prefixes that have the effect of multiplication or division by the integer power of ten. Which means that when we have some unit like a meter or a kilogram, to get to the smaller unit we need to divide by the integer power of ten or when we want a greter unit we need to multiply the unit by the integrer power of ten. So the corret answer is D.
Answer 2
Answer:

Answer:


Step-by-step explanation:

The right answer will be D

10

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If a 12-sided regular polygon rotates about its center, at which angle of rotation will the image of the polygon coincide with the preimage?75°

45°

36°

30°

Answers

Central angle of a 12-sided regular polygon:
360° : 12 = 30°
Answer: D ) 30°

the answer is

d=30 degrees

MODELING REAL LIFE Bowling alley A charges $3.75 to rent shoes and $4 per game. Bowling alley B charges $2.50 torent shoes and $4.50 per game.
a. For what numbers of games is the total cost, including a pair of rental shoes, less at bowling alley A? at bowling alley B?
Bowling alley A:
Bowling alley B:
or more games
or
games
b. Bowling alley A increases the cost per game by $0.50. How does this affect your answer in part (a)? Explain.o

Answers

Using linear functions, it is found that:

a) The cheaper costs are given as follows:

  • Bowling alley A: 3 or more games.
  • Bowling alley B: 1 or 2 games.

b) Due to the same cost per game and higher cost for the pair of shoes, bowling alley A will never be cheaper than bowling alley B.

What is a linear function?

A linear function is modeled by:

y = mx + b

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

For this problem, we have that:

  • The cost to rent shoes is the intercept.
  • The cost per game is the slope.

Hence the cost functions are given as follows:

  • A(x) = 3.75 + 4x.
  • B(x) = 2.5 + 4.5x.

The costs are equal when:

A(x) = B(x)

3.75 + 4x = 2.5 + 4.5x

0.5x = 1.25

x = 1.25/0.5

x = 2.5.

Hence the cheaper costs are given as follows:

  • Bowling alley A: 3 or more games.
  • Bowling alley B: 1 or 2 games.

Alley B has the lower initial cost due to the lower cost for the pair of shoes.

For item b, if we increase the cost per game by $0.50 for alley A, we have that:

A(x) = 4.5x + 3.75.

Hence:

Due to the same cost per game and higher cost for the pair of shoes, bowling alley A will never be cheaper than bowling alley B.

More can be learned about linear functions at brainly.com/question/24808124

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Which of the following is the rational exponent expression of fifth root of 7 n?

Answers

The rational exponent expression of  \sqrt[5]{7n} will be (7n)^(1)/(5) .

What is rational exponent ?

Rational exponent are exponents of numbers that are expressed as rational numbers, that is, in a^{(p)/(q) } form.

i.e. a^{(p)/(q) }=\sqrt[q]{a^n}

We have,

\sqrt[5]{7n}

so, Using the mentioned formula,

a^{(p)/(q) }=\sqrt[q]{a^n}

\sqrt[5]{7n}=(7n)^(1)/(5)

So, this is the rational expression(7n)^(1)/(5) using above mentioned formula.

Hence, we can say that the rational exponent expression of  \sqrt[5]{7n} will be (7n)^(1)/(5) .

To know more about rational expression click here

brainly.com/question/11790376

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5n7 (7n)5 7 times n to the one fifth power quantity of 7n to the one fifth power

Which choice is equivalent to the expression below when x  0?√18X^30-√9X^3+3√X^3-√2X^3

A.2√2X
B.4√X
C.2X√2X
D.√10X^3

Answers

√(18x^3)-√(9x^3)+3√(x^3)-√(2x^3)\n\n=√(9x^2\cdot2x)-√(9x^2\cdot x)+3√(x^2\cdot x)-√(x^2\cdot2x)\n\n=3x√(2x)-3x√(x)+3x√(x)-x√(2x)=2x√(x)\n\nAnswer:C.
√(18x^3)-√(9x^3)+3√(x^3)-√(2x^3)=\n 3√(2x^3)-3√(x^3)+3√(x^3)-√(2x^3)=\n 2√(2x^3)=\n 2x√(2x)\Rightarrow C

Moira borrowed $4,500 from her grandfather to pay for her first year of college. Three years later, she repaid the $4,500 a long with an interes of $143. What was the annual interes rate?

Answers

Answer: The annual interest rate is 1.06%

Step-by-step explanation: This is a simple interest computation.

The formular for a simple interest is given as;

I = (P ×R × T)/100

Where I represents the interest paid,

P represents Principal borrowed at the beginning

R represents the rate at which the interest is calculated

T represents the Time measured in number of years

If the interest is calculated as I = (P×R×T)/100, we should first of all make R the subject of the formular;

Multiply both sides by 100

100I = P×R×T

Divide both sides of the equation by P and T

(100I)/(P × T) = R

Now we can insert the values into the rearranged formular

(100 × 143)/(4500 × 3) = R

14,300/13,500 = R

143/135 = R

1.0592592593 = R

Therefore, R which is the rate of interest equals approximately 1.06%

Andrew has six fewer coins than Casey. Bob has two more than twice as many coins as Andrew. Altogether, they have 504 coins. How many coins does Bob have?

Answers

Andrew: x - 6
      Bob: 2x - 12
  Casey: x

  (x - 6) + (2x - 12) + x = 504
(x + 2x + x) + (-6 - 12) = 504
                        4x - 18 = 504
                            + 18   + 18
                               4x = 522
                                4       4
                                 x = 130.5
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