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3 years ago

PLEASE HELP ME OUT!!

Mathematics

1 answer:

andrey2020 [161]3 years ago

8 0

Short answer A
This one is exactly the same (with number changes) as the last one. You cannot use t which is in time, to mix with pure numbers which in this case is grams. That means that both C and D are incorrect.

Now as with the last one, are you going to raise e to a minus number or a plus number? Remember that if e is raised to a plus number, the sample in this case will increase. You are watching a radioactive decay. The number has to be smaller. So B is eliminated. There is only one answer left and that's A. It should be correct.

A <<<<< answer

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The ratio of the the number of Sally's stickers to the number of Eric's stickers was 3:5. Sally then brought another six sticker

Ne4ueva [31]

Answer: Eric has 20 stickers

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

Explanation:

x = number of stickers Sally starts with

y = number of stickers Eric has

x/y is the ratio of the two values. This ratio is 3/5. So x/y = 3/5 which cross multiplies to 5x = 3y. We can divide both sides by 5 to end up with x = 3y/5

"Sally the bought another six stickers" meaning she starts with x and bumps up to x+6. Eric's sticker count stays the same. The ratio is now (x+6)/y. We can replace the x with 3y/5 and simplify

(x+6)/y = (3y/5+6)/y

(x+6)/y = (3y/5+30/5)/y

(x+6)/y = [ (3y+30)/5 ]/y

(x+6)/y = (3y+30)/(5y)

Now set this equal to the new ratio 9/10 and solve for y

(3y+30)/(5y) = 9/10

10(3y+30) = 9(5y) ... cross multiply

30y+300 = 45y

300 = 45y-30y

300 = 15y

15y = 300

y = 300/15

y = 20

Eric has 20 stickers. At this point you can stop as your teacher doesn't seem to want to know Sally's count. However, I'll keep going to show how to get that value.

x = 3y/5

x = 3*20/5 ... replace y with 20

x = 60/5

x = 12

Sally starts off with 12 stickers. Note how x/y = 12/20 = 3/5 meaning that the ratio x:y = 12:20 reduces to 3:5 (divide both parts by 4)

If we add 6 stickers to Sally's count, then she now has x+6 = 12+6 = 18 stickers. It leads to the ratio 18:20 = 9:10 (divide both parts by 2). So the answer is confirmed.

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3 years ago

Jonathan has been on a diet since January 2013. So far, he has been losing weight at a steady rate. Based on monthly weigh-ins,

Vlada [557]

$a)\ \ \ w(m)=-3m+205\\\\m=0\ \ \ - at\ the\ start\ of\ the\ diet\\ \\w(0)=-3\cdot0+205=205\\ \\Ans.\ weigh\ at\ the\ start\ of\ the\ diet\ is\ 205\ pounds\\ \\b)\ \ \ w(m+1)=-3(m+1)+2015=-3m-3+205=-3m+202\\ \\w(m+1)-w(m)=-3m+202-(-3m+205)=\\ \\=-3m+202+3m-205=-3\\ \\Ans.\ Jonathan\ has\ each\ month\ 3\ been\ losing \\ \\ w(m)=205-45=160\ \ \ \Rightarrow\ \ \ -3m+205=160\ \ \ \Rightarrow\ \ \-3m=-45\\ \\m=15\\ \\Ans.\ 15\ month$

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3 years ago

If x = 1 -√2, find the value of ( x -1/x)^3

vivado [14]

Answer:

Step-by-step explanation:

(x-1/x)³
((1-√2)-1/(1-√2))³
8

8 0

3 years ago

1. Which of the following is not a linear equation in one variable?

Lorico [155]

$\huge \boxed{\mathbb{QUESTION} \downarrow}$

Which of the following is not a linear equation in one variable?

a) 33

b) 33(x+y)

c) 33x

d) 33y

$\large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}$

Option <em><u>b) 33 (x + y)</u></em> is not a linear equation in 1 variable.
Here, we can see that there are 2 variables used ⇨ x & y. Hence, even though it's a linear equation, it's not in 1 variable.
All the other options are in 1 variable or don't have a variable at all.

5 0

2 years ago

John and Tom invited 27 friends to make popcorn and watch an outdoor movie. Tom invited twice as many friends as John. How many

steposvetlana [31]

Answer:

Step-by-step explanation:

Remark

You can do this with just 1 unknown.

John = x

Tom = 2x

Solution

x + 2x = 27 Combine the left

3x = 27 Divide by 3

3x/3 = 27/3

x = 9

Conclusion

John invited 9

Tom invited 18

4 0

3 years ago