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agasfer [191]
3 years ago
6

Nathan is collecting aluminum cans for charity. One empty 355 ml can weighs about 17 g. It takes 59 cans to get about 1 kg of 10

0% recyclable aluminum.
Over one month, he collected 1978 cans.


What is the mass, in kilograms, of these cans?
Mathematics
1 answer:
Jlenok [28]3 years ago
3 0

Answer:

33.5 kg

Step-by-step explanation:

Each 59 cans are about 1 kg.

He collected 1978 cans.

How many times 59 cans did he collect?

1978/59 = 33.5

He collected 1978 cans which is 33.52 times 59 cans, so he collected 33.5 kg

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In triangle A B D , the measure of angle A is 10 degree less than the measure of angle B . The measure of angle D is 20 degree m
elixir [45]

Answer:

<u><em>Measure of angle A is 27 7/9 degrees.</em></u>

Step-by-step explanation:

Lets call measure of angle A is <em><u>X-10</u></em>

Lets call measure of angle B is X

Lets call measure of angle D is 2.5X+20

We know that the sum of triangles add up to 180 degrees

X+X-10+2.5X+20=180

X=37 7/9

So measure of angle A is 27 7/9 degrees.

I hope this is right. :)

8 0
3 years ago
Solving systems equations by elimination
pishuonlain [190]
I won't answer them all for you (don't want to cheat - need to learn something).
But for the first one given:

<span>-2x-9y=-25
-4x-9y=-23

you set up either x or y (which ever one you want to eliminate) so that one of them cancels.
So this one is easy - you just have to multiply an entire row by negative (doesn't matter which one) - so that the y's will be + and - 

Since they're both 9 and they're subracting NOW - you can eliminate the y value. Now add/subtract the x's. So it'd be -2 or 2 depending on how you eliminated y. Then add the number outside of the = sign. Now just solve for x. After that plug in whatever you got for x into both of the rows. Then find the y value.

Hopefully this wasn't confusing -- reply if it is and I will try to simplify. I can give you contact if you need help with the rest 

Good luck!</span>
3 0
3 years ago
Simplify 24 – 6x – 18 + 5x<br><br> 3 – 3x<br><br> –x + 6<br><br> 2x – 3<br><br> –4x – 17
Svetach [21]

= <span><span>−x</span>+6</span>

<span>=<span><span> −<span>3x</span></span>+3</span></span>

<span>= </span><span><span>−x</span>+6</span>
= <span><span>2x</span>−3</span>

<span>= <span><span>−<span>4x</span></span>−<span>17</span></span></span>


6 0
3 years ago
Q10<br> Please help me solve this….
kondor19780726 [428]

Answer:

C. 0.23°

Step-by-step explanation:

We are given

r=\frac{1}{32}v^{2}sin(2\theta)

Re-arranging this equation (multiply by 32 on both sides and divide by v^{2} on both sides gives us:

\frac{32r}{v^{2}}=sin(2\theta) or

sin(2\theta)=\frac{32r}{v^{2}}

Substituting for, r and v we get

sin(2\theta)=\frac{(32)5000}{4500^{2}}=0.00792\\\\\theta=sin^{-1}(0.0079)=0.4527\\\\\theta=\frac{{0.4527}}{2}=0.2263\approx0.23

5 0
2 years ago
Mark buys last year's best-selling novel, in hardcover, for $23.20. This is with a 20% discount from the original price. What wa
Gelneren [198K]

Answer:

29

Step-by-step explanation:

Let x be the original price.

( 1 - 20% ) x = 23.2

0.8x = 23.2

\frac{0.8x}{0.8}  =  \frac{23.2}{0.8}

x = 29

8 0
3 years ago
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