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hjlf
4 years ago
11

3. The equation 4x + 16y = 36 is a true equation for a particular

Mathematics
1 answer:
Kazeer [188]4 years ago
4 0

Answer:

See below.

Step-by-step explanation:

We know that the equation 4x+16y=36 is a true equation for a particular value of x.

Now, let's see what happens if we divide everything by 4. In other words:

\frac{4x+16}{4}=\frac{36}{4}

Divide:

x+4=9

So, we get x+4=9.

When we divided everything by 4, we used the division property of equality. Under this property, the equation remains the same even if we divided since we did the <em>same thing to both sides of the equation. </em>

Therefore, x+4y=9 is also true for the same value of x because it is just a simplified version of 4x+16y=36.

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The stock market fell 507.99 points. If the market started at 2246.73, what was it's value at the end
SOVA2 [1]
2246.73 - 507.99 = 1738.74 points
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3 years ago
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A candy store makes a 12-lb mixture of gummy bears, jelly beans, and Runts. The cost of gummy bears is $1.50 per pound, jelly be
qwelly [4]

Answer:

g= 6

j = 2

r= 4

Step-by-step explanation:

Gummy bears = $1.50 per pound

Jelly beans = $1.00 per pound

Runt = $1.00 per pound

Total cost of the mixture = $15.00

Let

g = quantity of gummy bears

j = quantity of jelly beans

r = quantity of runts

g + j + r=12 (1)

1.5g + 1.0j + 1.0r = 15 (2)

three times as many gummy bears as jelly beans.

g=3j

Substitute g=3j into 1

g + j + r = 12

3j + j + r =12

4j + r =12 (3)

Substitute g=3j into 2

1.5g + 1.0j + 1.0r = 15

1.5(3j) + 1.0j + 1.0r =15

4.5j + 1.0j + 1.0r = 15

5.5j + 1.0r =15 (4)

4j + r =12 (3)

5.5j + 1.0r =15 (4)

Subtract (3) from (4)

5.5j - 4j = 15-12

1.5j = 3

Divide both sides by 1.5

j = 3/1.5

= 2

j = 2

Substitute j = 2 into (3)

4j + r =12

4(2) + r =12

8 + r = 12

r= 12-8

r= 4

Substitute j=2 and r= 4 into (1)

g + j + r=12

g + 2 + 4 = 12

g + 6 = 12

g = 12-6

=6

g=6

g= 6

j = 2

r= 4

3 0
3 years ago
Dwight drove 792 miles from Pensacola,Florida,to Key West,Florida,and then back again.He estimated this distance to the nearest
Ronch [10]

Answer:

10

Step-by-step explanation:

Rounding to the nearest 100 miles gives you 800 and rounding to the nearest 10 miles gives you 790.

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3 years ago
Square root of 2.25 is help.
garri49 [273]
The square root of 2.25 is 1.5
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3 years ago
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Which ideas from the excerpt would be most appropriate to include in a summary? Select three options. Popular novels from the pa
diamong [38]

This question is incomplete because the excerpt is missing; here is the excerpt:

Read the excerpt from President Ronald Reagan’s speech on the night before the 1980 presidential election.

A popular novel of the '60s ended prophetically with its description of a "kindly, pleasant, greening land about to learn whether history still has a place for a nation so strangely composed of great ideals and uneasy compromise as she.” That is really the question before us tonight: for the first time in our memory, many Americans are asking: does history still have a place for America, for her people, for her great ideals? There are some who answer "no”; that our energy is spent, our days of greatness at an end, that a great national malaise is upon us. They say we must cut our expectations, conserve and withdraw, that we must tell our children . . . not to dream as we once dreamed. Last year I lost a friend who was more than a symbol of the Hollywood dream industry; to millions, he was a symbol of our country itself. And when he died, the headlines seemed to convey all the doubt about America, all the nostalgia for a seemingly lost past. "The Last American Hero,” said one headline; "Mr. America dies,” said another. Well, I knew John Wayne well, and no one would have been angrier at being called the "last American hero.” Just before his death, he said in his own blunt way, "Just give the American people a good cause, and there’s nothing they can’t lick.” Duke Wayne did not believe that our country was ready for the dust bin of history, and if we’ll just think about it we too will know it isn’t.

The answers to this question are A. Popular novels from the past often ask provocative questions...; B. Many Americans have given up and say that the nation is no longer great...; and D. Wayne would argue that he was not the last American hero...

Explanation:

In a summary, the purpose is to include key details that help the reader understand the topic of a text. In the excerpt, President Reagan wonders if America is still a great nation or has still a place in history. First,  Reagan explains this idea emerged from a novel of the 60s, as he cites the novel "whether history still has a place for a nation so strangely composed of great ideals". According to this, one key detail or idea is that some novels have intriguing questions that might be considered today (Option A).

Also, Reagan provides two answers to the question. The first one is that many citizens believe the greatness of America has ended; this is expressed in "There are some who answer "no”; that our energy is spent, our days of greatness at an end" (Option B); the second one is that America is still full of greatness and heroes; this is explained by Reagan as he mentions Duke Wayne died, and the headline was "The Last American Hero"; but he considers Wayne would completely disagree with this as he had hope in America. Thus, the third detail is described by option (D).

6 0
4 years ago
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