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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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Hallar el valor de ab datos: bc= 4,5 cm de= 2cm ef= 3 cm
kakasveta [241]

The measure of ab and df are 3cm and 7.5cm respectively

<h3 /><h3>Similarity theorem of shapes</h3>

In order to determine the missing sides, we need to take the ratio of the similar sides as shown:

1) ab/de = ac/df

ab/de = ab+bc/df

Substitute the given values

ab/2 = ab+4.5/2+3

ab/2 = ab+4.5/5

2(ab+4.5) = 5ab
2ab+9=5ab

3ab = 9

ab = 3cm

Hence the measure of ab is 3cm

2) ae/ce = bf/df

24/9 = 20/df

24df =. 9(20)

24df = 180

df = 7.5cm

Hence the measure of ab and df are 3cm and 7.5cm respectively

Learn more on similar shapes here: brainly.com/question/11920446

#SPJ1

3 0
1 year ago
AT&amp;T offers a deal for internet service that is $20 a month. There is an intial fee of $50. If Tim spent $330 on his interne
GenaCL600 [577]

Answer:

162 months

Step-by-step explanation:

if I'm correct it should be 162

3 0
2 years ago
An electrician charges $40 per hour for service calls up to eight hours, but increases this rate by 50% for additional hours. Th
Elina [12.6K]

Answer:

gg

Step-by-step explanation:

this is to much

7 0
3 years ago
Pam has 90 m of fencing to enclose an area in a petting zoo with two dividers to separate three types of young animals. The thre
andrew-mc [135]

Answer:

The area function is

A=\frac{135}{2}x-\frac{9}{2}x^2.

The domain and range of A is (0,15m) and (0, 253.125 m^2].

Step-by-step explanation:

The given length of fencing is 90 m.

Let the length and width of each pen be x and y respectively as shown in the figure.

As there are 3 pens, so, the total area,

A= 3 xy \;\cdots (i)

From the figure the total length of fencing is 6x+4y.

Here, for a significant area for the animals, x>0 as well as y>0 as x and y are the sides of ben.

From the given value:

6x+4y=90\;\cdots (ii)

\Rightarrow  y=\frac {45}{2}-\frac{3x}{2}

Now, from equation (i)

A=3x\left(\frac {45}{2}-\frac{3x}{2}\right)

\Rightarrow A=\frac{135}{2}x-\frac{9}{2}x^2\;\cdots (iii)

This is the required area function in the terms of variable x.

For the domain of area function, from equation (ii)

x=15-\frac{2y}{3}

\Rightarrow x [as y>0]

So, the domain of area function is (0,15m).

For the range of area function:

As x \rightarrow 0 or y\rightarrow 0, then A\rightarrow 0 [from equation (i)]

\Rightarrow A>0

Now, differentiate the area function with respect to x .

\frac {dA}{dx}=\frac{135}{2}-9x

Equate \frac {dA}{dx}  to zero to get the extremum point.

\frac {dA}{dx}=0

\Rightarrow \frac{135}{2}-9x=0

\Rightarrow x=\frac{15}{2}

Check this point by double differentiation

\frac {d^2A}{dx^2}=-9

As,  \frac {d^2A}{dx^2}, so, point x=\frac{15}{2} is corresponding to maxima.

Put this value back to equation (iii) to get the maximum value of area function. We have

A=\frac{135}{2}\times \frac {15}{2}-\frac{9}{2}\times \left(\frac {15}{2}\right)^2

\Rightarrow A=253.125 m^2

Hence, the range of area function is (0, 253.125 m^2].

4 0
3 years ago
Rewrite the equation by completing the square 4x^2-4x+1=0
oee [108]

Answer:

4(x - \frac{1}{2} )² = 0

Step-by-step explanation:

Given

4x² - 4x + 1 = 0

To complete the square the coefficient of the x² term must be 1

Factor out 4 from 4x² - 4x

= 4(x² - x) + 1 = 0

add/subtract ( half the coefficient of the x- term )² to x² - x

4(x² + 2(- \frac{1}{2} )x + \frac{1}{4} - \frac{1}{4} ) + 1 = 0

4(x - \frac{1}{2} )² - 1 + 1 = 0

4(x - \frac{1}{2} )² = 0

8 0
2 years ago
Read 2 more answers
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