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Alexxandr [17]
3 years ago
9

A middle school took all of its 6th grade students on a field trip to see a ballet at a theater that has 1300 seats. The student

s filled 1001 of the seats in the theater. What percentage of the seats in the theater were filled by the 6th graders on the trip?
Mathematics
1 answer:
Wewaii [24]3 years ago
3 0
77%

I like to use ratios and cross multiply for problems like this. Take the part (1001) over the whole (1300), and that equals x percent of 100 percent.

1001/1300 = x/100
100100 = 1300x
x = 77
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If DF=78, DE=5x-9, and EF=2x+10, find DE.
Kazeer [188]

Given that E is a point between Point D and F, the numerical value of segment DE is 46.

<h3>What is the numerical value of DE?</h3>

Given the data in the question;

  • E is a point between point D and F.
  • Segment DF = 78
  • Segment DE = 5x - 9
  • Segment EF = 2x + 10
  • Numerical value of DE = ?

Since E is a point between point D and F.

Segment DF = Segment DE + Segment EF

78 = 5x - 9 + 2x + 10

78 = 7x + 1

7x = 78 - 1

7x = 77

x = 77/7

x = 11

Hence,

Segment DE = 5x - 9

Segment DE = 5(11) - 9

Segment DE = 55 - 9

Segment DE = 46

Given that E is a point between Point D and F, the numerical value of segment DE is 46.

Learn more about equations here: brainly.com/question/14686792

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3 0
1 year ago
Solve this system of linear equations. Separate
alex41 [277]

Answer:

y = 7 and x =3

Step-by-step explanation:

use elimination method

so we gonna eliminate y first

9x = 1 - 4y

-7x = -7 + 4y

7| 9x = 1 - 4y

9| -7x = -7 + 4y

63x = 7 - 28y

-63x = -63 + 36y

add eqtn 1 to eqtn2

you will get

0 = -56 + 8y

56 = -56 + 56 + 8y

56 = 8y

56÷8 = 8y÷ 8

7 = y

also eliminate x as we have done wth y

4| 9x = 1 - 4y

4| -7x = -7 + 4y

36x = 4 - 16y

-28x = -28 + 16y

add the two equations

u will get

8x = -24 + 0

8x = -24

8x÷8 = 24÷ 8

x = 3

5 0
3 years ago
Express 50grams into ounces
Mashcka [7]

Answer:

1.7636981 = 1.7

Step-by-step explanation:

Hope it helps :)

pls mark brainliest :P

5 0
2 years ago
Read 2 more answers
What is the volume of a figure that is 2 inches wide,9 inches tall and 8 inches long?
Anvisha [2.4K]

Answer:

144inches cube

v=2*9*8cube

v=144 inche cube

4 0
2 years ago
A taxi company charges $4.00 for the first mile (or part of a mile) and 80 cents for each succeeding tenth of a mile (or part).
svet-max [94.6K]

Answer:

The piecewise function is:

C(x) = C(x) = \left \{ {{4, 0< x \leq 1} \atop {4 + 8x, 1 < x \leq 2}}\right.

Step-by-step explanation:

A piecewise function is a function that is defined in multiple intervals.

In the first interval:

0 < x \leq 1

The problem states that a taxi company charges $4.00 for the first mile (or part of a mile).

x is the number of miles. So

If x \leq 1, C(x) = $4.00.

Second interval:

1 < x \ leq 2

Here, the cost is defined by a linear function in the following format:

C(x) = C_{0} + rx

In which C_{0} is the initial price and r is the price paid per mile.

The problem states that each succeeding tenth of a mile costs 80 cents. So

we have the following rule of three.

1 mile - r dollars

0.1miles - 0.8 dollars

0.1r = 0.8

r = \frac{0.8}{0.1}

r = 8

So, we have

C(x) = 4 + 8x, 1 < x \leq 2

Piecewise function:

The piecewise function is:

C(x) = C(x) = \left \{ {{4, 0< x \leq 1} \atop {4 + 8x, 1 < x \leq 2}}\right.

7 0
3 years ago
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