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Mars2501 [29]
2 years ago
15

Which system of equations is equivalent to the following system? (5 points) 2x + 4y = 14 4x + y = 20

Mathematics
1 answer:
fredd [130]2 years ago
3 0

Answer:

a.

Step-by-step explanation:

4x+y=20 multiplied by (-4) gives you -16x-4y=-80

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The Falcons’ third play went for +3 1/4 yards. Terrence thinks they lost yards, but his friend Ted thinks they gained yards. Who
Alexxandr [17]

Answer:

ted is right they gained yards

Step-by-step explanation:

becuase where it says +3 1/4 the + is the clue

7 0
2 years ago
What is the equation of the line that passes through the point (-4, 2) and has a<br> slope of ?
Katena32 [7]

Answer:

Step-by-step explanation:

What is the slope please

5 0
3 years ago
Number 8 only please
givi [52]

Answer:

Should be roughly 79.76% if I'm doing this right.

Step-by-step explanation:

Looking at the problem, you're given 3 things:

1) 6.8 million tonnes are recycled;

2) 6.8 million tonnes is 27% of the total household waste;

3) 20.1 million tonnes could be recycled.

Since they're asking for what percentage of <em>total</em> household waste could be recycled, you're looking at a multi-step cross multiplication problem.

It's not very difficult though, don't worry.

So I'm gonna start by telling you to just forget that the word "million" exists for the moment. You only need 6.8, 20.1, and 27%.

Setting up the first part of the problem requires you to convert 27% into a fraction. That's \frac{27}{100}.

6.8 is 27% of some mysterious number that we need to figure out what percent of household waste could be recycled, so that'll be set up on the opposite side of the equal sign as the equivalent to 27.

So we're starting out with this: \frac{6.8}{?} =\frac{27}{100}

Since you're trying to initially find the total household waste, we're setting x as the variable to solve for.

\frac{6.8}{x} =\frac{27}{100}

Cross-multiplying** means you multiply the numerator of one side of the equal sign to the denominator of the other side of the equal sign, and vice versa (denominator of one side to numerator of other). So multiply 6.8 to 100, and 27 to x.

680=27x

Now that you have this, you have to isolate x. Divide both sides by 27 to do this.

25.185185...=x

I'm gonna round that for simplicity's sake, because 185 repeats.

25.2=x

So we have 25.2 million tonnes of total household waste. Great! Now we can find the <em>percentage </em>of household waste that could be recycled.

Since we have how much could be recycled and the total, we just need to solve for the percent this time. So this is what the set-up will look like:

\frac{20.1}{25.2} =\frac{x}{100}

x being the percent we're solving for.

Cross-multiply again:

2010=25.2x

Divide both sides by 25.2:

79.761904761904...=x

Then round for simplicity's sake:

79.76=x

And you get 79.76% of household waste could be recycled.

Hope this helped!

**Be careful with cross-multiplying when you get to higher level math though. Not every situation allows for cross-multiplying. In fact, you can only cross-multiply when there's an equal sign.

6 0
2 years ago
A rectangular prism has a length of 3 feet, a height of 7 feet, and a width of 14 feet.
MA_775_DIABLO [31]

Answer:

294 cubic ft.

Step-by-step explanation:

All you do is just multiply the length, width, and height!

3 × 14 × 7 = 294

hopefully this helped :3

5 0
3 years ago
Read 2 more answers
Can someone plz help me. How can you find the inequalities of 11/15 and 5/7. Next 5/9 and 7/13. Next 11/15 and 5/7. Lastly 5/9 a
LekaFEV [45]
To make this a little clearer, let's give the pairs of inequalities the same denominator:

<span>Question 1: 
</span>\frac{11}{15} ? \frac{5}{7}
First, apply the common denominator to the first fraction:
(\frac{11}{15})7 \\  \frac{11}{15} *  \frac{7}{7}  \\  \frac{11*7}{15*7}  \\  \frac{77}{105}
Do the same for the second:15( \frac{5}{7}) \\  \frac{5}{7}* \frac{15}{15} \\  \frac{5*15}{7*15}  \\  \frac{75}{105}
Nest, compare the two fractions:
\frac{77}{105} \ \textgreater \   \frac{75}{105}
Therefore:
\frac{11}{15} > \frac{5}{7}
<span>
Question Two:</span>
\frac{5}{9} ? \frac{7}{13}
Apply the common denominator to fraction one:
13( \frac{5}{9}) \\  \frac{5}{9} * \frac{13}{13}  \\  \frac{5*13}{9*13}  \\  \frac{65}{117}
Fraction two:
9(\frac{7}{13}) \\  \frac{7}{13} *  \frac{9}{9}  \\  \frac{7*9}{13*9}  \\  \frac{63}{117}
Evaluate:
\frac{65}{117} > \frac{63}{117}
Therefore:
<span>\frac{5}{9} > \frac{7}{13}
</span>
Hope this helps!
5 0
3 years ago
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