MATHEMATICS HIGH SCHOOL

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Answers

Answer 1

Answer:

Answer:

x=2

Step-by-step explanation:

9x - 3 = 6x + 3

+ 3 + 3

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

9x = 6x + 6

-6x -6x

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

3x = 6

--- ---

3 3

----------

x=2

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Sam used 17 cans of paint to paint 6 walls. He used the same amount of paint on each wall. Which is the correct way to show how to find how many cans of paint he used for each wall.

Answers

Answer:

The number of cans of paint he used for each wall is $2(5)/(6)$ cans

Step-by-step explanation:

Here we are told that Sam used 17 cans of paint to paint 6 walls

The correct way to find out how many cans of paint he used to paint each wall is as follows

Number of walls 17 cans of paint can paint = 6 Walls, we therefore divide both side of the equation by 6 so that the number of walls painted will be 1 as follows

6 Walls = Number of walls 17 cans of paint can paint

6/6 Walls = Number of walls 17/6 cans of paint can paint

∴ 1 Walls = Number of walls 17/6 cans of paint can paint or

∴ 1 Wall = Number of walls $2(5)/(6)$ cans of paint can paint

Which gives;

Number of walls $2(5)/(6)$ cans of paint can paint = 1 Wall or

The number of cans of paint he used for each wall = $2(5)/(6)$ cans.

In nathan's baseball card collection, 58% of the cards are players from the national league. he has 702 baseball cards. about how many baseball cards are playears from the national league?

Answers

About 407 cards are from the national league.

A parachutists rate during the freefall reaches 189 km/h. What is the rate in meters per second? At this rate how many meters will dead parachutist fall during 10 seconds of free fall? Do not round your answers

Answers

1 km = 1000m
1 hr = 3600 s

189 km/h
189 * 1000 / 3600 m/s
189*5/18 m/s
945/18 m/s
315/6 m/s
105/2 m/s
52.5 m/s

in 10 s
52.5*10
525 m

future value = P × (1+ i)t Kate wants to have $25,000 in 16 years. How much does she need to invest if the interest rate is 6 percent per year?

Answers

If Kate wants $25,000, then that's the future value.
i is the rate of change, which is 6% in this case, which is rewritten as 0.06.
P is the starting value, or what she has to originally put in, which is what we need to find.
You put times t but it's actually to the power of t, which is time.
The time in this problem is 16 years, so t is 16.
Let's rewrite the equation with the plugged in values.
25,000 = P(1 + 0.06)^16
Now simplify:
25,000 = P(1.06)^16
25,000 = P(1.06^16)
25,000 = P(2.54)
How do you find P?
Isolate the variable!
To do this, divide both sides by 2.54.
25,000 / 2.54 = 9842.52
So that means she needs to invest an original amount of $9,842.52 if she wants to have $25,000 in 16 years with a 6% interest rate per year.

Now just check your work:
25,000 = 9842.52(1 + 0.06)^16
25,000 = 9842.52(1.06^16)
25,000 = 9842.52(2.54)
25,000 = 25,000
It works!
So $9,842.52 is the correct answer.

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б) (-7x — 1)^2
в) (-5а +2в^4)^2
г) (x-12)(х+ 12)
д) (- 4n^3 +7)(4n^3+7)