MATHEMATICS HIGH SCHOOL

Write the expression as a power with the base of 3 and find its value in the table of cubes 27·243

Answer:

27 · 243 = 3

=

Answers

Answer 1
Answer:

Answer:

3^8 and 6,561

Step-by-step explanation:

1) Calculate, 3 to the power of what is 27?

Make a table of all of 3's powers until 10. i.e. 3^1 = 3, 3^2 = 9 ......

You will find that 3^3 = 27 and 3^5 is 243

3) Use the formula x^m * x^n = x^m+n and substitue our value.

It should look like this: 3^3 * 3^5 = 3^3+5 = 3^8

4) Make a table as described in step 2  and calculate all of 3's powers up to 10. Look at your table and you will find that 3^8 is equal to 6,561

5) The expression written as a power is

3^8 and

the value: 6,561

Enjoy :)

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Sqrt 10 times sqrt 20

Answers

√(10)\cdot √(20)=√(10\cdot 20)=√(200)=√(100\cdot 2)=√(100)\cdot √(2)=10√(2)

Solve the system of linear equations by elimination.
9x+2y=39
6x+13y=−9

Answers

y = -3

x = 5

Explanation:

9x + 2y = 39 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: (2)\n 6x + 13y = - 9 \: \: \: \: \: \: \: \: \: \: \: \: ( - 3) \n \n 18x + 4y = 78 \n - 18x - 39y = 27 \n \n - 35y = 105 \n y = (105)/( - 35) \n y = - 3 \n \n \n 9x + 2y = 39 \n 9x + 2( - 3) = 39 \n 9x - 6 = 39 \n 9x = 39 + 6 \n 9x = 45 \n x = (45)/(9) \n x = 5

Y=−x−1 the point (0, −1)lies on the graph of the equation. the graph of the equation is the set of points that are solutions to the equation. the point (1, −2) lies on the graph of the equation. a coordinate pair on the graph of the equation is a solution to the equation. the equation y x=1 has the same graph.

Answers

For point (1, -2): -2 = -1 - 1 = -2. Therefore, point (1, -2) lies on the graph of the equation.

The graph of the equation is the set of points that are solutions to the equation.

A coordinate pair on the graph of the equation is a solution to the equation.

For the point (0, -1): -1 = -(0) - 1 = 0 - 1 = -1.
Therefore, The point ( 0, −1 ) lies on the graph of the equation.

Eli walk from her house to a friends house in one hour. She can travel the same Distance on her bicycle in 15 minutes. If she rides 6 mph faster than she can walk, What is her speed on the bicycle?

Answers

Answer: her speed on the bicycle is 8 mph

Step-by-step explanation:

Let x represent the speed at which she walks. If she rides 6 mph faster than she can walk, then the speed at which she rides is (x + 6) mph

Distance = speed × time

Eli walk from her house to a friends house in one hour. This means that the distance covered is 1 × x = x miles.

Distance on her bicycle in 15 minutes. Converting 15 minutes to hours, it becomes 15/60 = 0.25 hour. Distance covered while riding is 0.25(x + 6) = 0.25x + 1.5

Since the distance is the same,then

x = 0.25x + 1.5

x - 0.25x = 1.5

0.75x = 1.5

x = 1.5/0.75

x = 2

her speed on the bicycle is

x + 6 = 2 + 6 = 8 mph

Alex and Ben were given a total of £360 they shared the money in the ratio 5:7 Ben received more money then Alex.how much more?

Answers

first
360 divided by 12=30
alex got=30 multiply 5=150
ben got=30 x 7 =210
so ben got 60 more than alex
5:7 means that Alex got 5/12 of the whole amount and Ben 7/12.
(5/12)•360=150
(7/12)•360= 210
210-150=60
Ben received £60 more than Alex.
Hope it helps :)

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Answers

A. Parallel Postulate
That type of statement is accepted without any proof
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