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2 years ago

Can someone just explain in words what I have to do please

Mathematics

2 answers:

wel2 years ago

6 0

Simplified would usually mean to reduce a fraction but since their are none you would just work the problem. Justify means to explain or show your work of how you figured it out. :)

taurus [48]2 years ago

4 0

You olny do the problem in some u need to reduce

You might be interested in

10 is 40% of what number

Law Incorporation [45]

25 is the 40% of 10.

6 0

2 years ago

Read 2 more answers

A chemist has two acid solutions in stock: one is a 50% solution, and the other is a 80% solution. How much of each solution sho

arsen [322]

Easy way, visual

50---68---80%
Difference 18 12
Invert order to give ratio of 50% and 80%
Ratio 12 18 = 2:3

So by simple proportion:
volume of 50% needed = 100*2/(2+3)=40 mL
volume of 80% needed = 100*3/(2+3)=60 mL

Algebra way
Let x=volume of 50% needed.
Then
0.50*x+0.80*(100-x) = 0.68(100)
Expand and solve for x
0.5x+80-0.8x = 68
0.8x-0.5x = 80-68
0.3x = 12
x=12/0.3 = 40 mL (volume of 50%)
100-x=100-40=60 mL (volume of 80%)

8 0

2 years ago

What is the length of Lm?

Oxana [17]

Answer: Choice A) $\sqrt{34}$

Work Shown:

Use the distance formula

Points are (x1,y1) = (-4,3) and (x2,y2) = (-7,-2)

d = distance between the two points

$d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(-4-(-7))^2 + (3-(-2))^2}\\\\d = \sqrt{(-4+7)^2 + (3+2)^2}\\\\d = \sqrt{(3)^2 + (5)^2}\\\\d = \sqrt{9 + 25}\\\\d = \sqrt{34}\\\\$

Extra info: $\sqrt{34} \approx 5.83$

7 0

2 years ago

Tony scored 22 and 25 points in the first two games of a basketball tournament. Tony’s goal is to make the all tournament team.

saw5 [17]

He needs to score between 3.5 points more at the next game to make it to the all tournament team at the minimum. good luck with the question!!

8 0

2 years ago

1+1/2+1/4+1/8+1/16+1/32+1/64

almond37 [142]

Answer: You will never reach a sum of 2. You would need infinitely many terms to sum up.

============================================================

Explanation:

We have this sequence

1, 1/2, 1/4, 1/8, 1/16, 1/32, 1/64, ...

which is geometric with the following properties

a = first term = 1
r = common ratio = 1/2 = 0.5

Notice how we multiply each term by 1/2 to get the next term. Eg: (1/4)*(1/2) = 1/8 or (1/16)*(1/2) = 1/32.

Since r = 0.5 is between -1 and 1, i.e. -1 < r < 1 is true, this means that adding infinite terms of this form will get us to approach some finite sum which we'll call S. This is because the new terms added on get smaller and smaller.

That infinite sum is

S = a/(1-r)

S = 1/(1-0.5)

S = 1/0.5

S = 2

So if we keep going with that pattern 1+1/2+1/4+... and do so forever, then we'll reach a sum of 2. However, we cannot go on forever since it's asking when we'll reach that specific sum. In other words, your teacher wants finitely many terms to be added.

In short, we'll never actually reach the sum 2 itself. We'll just get closer and closer.

Here's a list of partial sums

1+1/2 = 1.5
1+1/2+1/4 = 1.75
1+1/2+1/4+1/8 = 1.875
1+1/2+1/4+1/8+1/16 = 1.9375
1+1/2+1/4+1/8+1/16+1/32 = 1.96875
1+1/2+1/4+1/8+1/16+1/32+1/64 = 1.984375
1+1/2+1/4+1/8+1/16+1/32+1/64+1/128 = 1.9921875
1+1/2+1/4+1/8+1/16+1/32+1/64+1/128+1/256 = 1.99609375

We can see that we're getting closer to 2, but we'll never actually get there. We'd need to add infinitely many terms to get to exactly 2.

3 0

2 years ago