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Mkey [24]
3 years ago
15

A middle school took all of its 6th grade students on a field trip to see a ballet at a theater that has 2900 seats. The student

s filled 986 of the seats in the theater. What percentage of the seats in the theater were filled by the 6th graders on the trip?
Mathematics
2 answers:
Gnom [1K]3 years ago
7 0

Answer:

34%

Step-by-step explanation:

986/2900  x 100 = 34%

lesantik [10]3 years ago
5 0

Answer:

34%

Step-by-step explanation:

To find what percent a part is of the whole, divide the part by the whole and multiply by 100%.

\dfrac{986}{2900} \times 100\% = 0.34 \times 100\% = 34\%

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Graph the function.
RideAnS [48]

Answer:

\displaystyle{y=-3x-1}

Step-by-step explanation:

I have two methods: <u>standard-learning</u> which will explain overall mathematically - basically formula, etc. - while the other one <u>trick-tips</u> method will rely on choices rather mathematical calculations but with explanation on <em>why</em> and <em>how.</em>

<h3>Standard-Learning</h3>

First, let’s pick two points that are integers since they are easily to be found via graphs. We see that (-1,2) and (0,-1) is a part of the graph so now we finally have picked two points for our calculations.

When we have finally picked two points, we will be using them for <u>slope calculation</u>. This part is <u>crucial</u> for finding an equation of a line because a line has to contain slope in its equation.

To calculate the slope, we use rise over run formula which is:

\displaystyle{\dfrac{\Delta y}{\Delta x} = \dfrac{y_2-y_1}{x_2-x_1}}

Note that \displaystyle{\Delta} is delta - in both mathematic and physics, it means <u>changes in</u>.

So, we will be using those two points that we have picked to substitute in the slope formula. Let’s determine that \displaystyle{(x_2,y_2)=(-1,2)} and \displaystyle{(x_1,y_1)=(0,-1)}.

Therefore, our slope will be:

\displaystyle{m=\dfrac{2-(-1)}{-1-0}}\\\\\displaystyle{m=\dfrac{2+1}{-1}}\\\\\displaystyle{m=-3}

Next, find the y-intercept. From the graph, we see that the graph intercepts at (0,-1) which is y-intercept so we will only use y-value. Hence, b = -1.

From the slope-intercept form:

\displaystyle{y=mx+b}

Substitute m (slope) = -3 and b (y-intercept) = -1. Hence, the equation of line is:

\displaystyle{y=-3x-1}

<h3>Fast Way (Trick-Tips)</h3>

Relying on choices and knowledge of graph, notice that there are slopes of 3 and -3.

Keep in mind that if slope is negative, it will decrease down and if slope is positive, it will increase up.

Therefore, cut off all choices with positive slopes which are 1 and 3. We are now left with 2 and 4.

Next, look at the graph and tell its y-intercept. It intercepts y at y = -1 so we take value of -1.

So choice 4 is cut off and now we have choice 2 as the answer.

Learn More:

brainly.com/question/27514958 - Find the line equation with given points

8 0
2 years ago
9 × 1/5 is the answer greater than or less than 9 and why
Vikentia [17]
When u multiply by a fraction, you get a smaller number. Multiplication means<span> “of,” especially with fractions. So 0.2 × 9 means, “0.2 of nine”—and that’s smaller than nine. Hope that helps


</span>
4 0
3 years ago
A farmer sells 7.2 kg of pears and apples at the farmer's market. 2/5 of this weight is pears, and the rest is apples. how many
aniked [119]

Answer:

2.88

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
4000 is 1/10 as much as what number
crimeas [40]
40,000

All you do is multiply 4,000 by 10 to find out what 10 times of your number is, if 4,000 is only 1/10 of it.
6 0
3 years ago
Write an equation of the line in point-stope form that passes through the
mash [69]

Answer:

y-8=-4/3(x+2)

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-4-8)/(7-(-2))

m=-12/(7+2)

m=-12/9

simplify

m=-4/3

y-y1=m(x-x1)

y-8=-4/3(x-(-2))

y-8=-4/3(x+2)

4 0
3 years ago
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