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11 days 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?

1 answer:

Leona [9.2K]11 days ago

3 0

77%

I prefer using ratios and cross multiplication for scenarios like this. Divide the part (1001) by the whole (1300), and set that equal to x percent of 100 percent.

1001/1300 = x/100
100100 = 1300x
x = 77

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The final result is $88

Step-by-step explanation:

The Math.random () method produces a floating-point, pseudo-random number ranging from 0 to 1 (including 0 but excluding 1), which is distributed fairly evenly within that interval — allowing you to scale it to fit your preferred range.

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20 days ago

Annie is creating a stencil for her artwork using a coordinate plane. The beginning of the left edge of the stencil falls at (2,

PIT_PIT [9117]

Answer:

(A)(12, 9)

Step-by-step explanation:

Provided:

The starting point of the stencil's left edge is at (2, -1).

A designated point, referred to as Q on the stencil, is located at (4, 1).

Point Q divides the stencil in a 1:4 ratio.

We are tasked with determining the endpoint of the stencil.

Mathematically, Point Q segments the stencil internally in a 1:4 ratio.

For calculating the internal division of a line segment with initial point $(x_1,y_1)$ and end point $(x_2,y_2)$ in the ratio m:n, we apply the formula

$Q(x,y)=(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n} )$

$(x_1,y_1)=(2, -1)$ , $(x_2,y_2)=?$ , Q(x,y)=(4,1), m:n=1:4

Consequently:

$(4,1)=(\dfrac{1x_2+4*2}{1+4},\dfrac{1y_2+4*-1}{1+4} )\\(4,1)=(\dfrac{x_2+8}{5},\dfrac{y_2-4}{5} )\\$Therefore:\\\dfrac{x_2+8}{5}=4\\x_2+8=4X5\\x_2=20-8=12\\$Similarly\\\dfrac{y_2-4}{5}=1\\y_2-4=5\\y_2=4+5=9\\(x_2,y_2)=(12,9)$

The selected choice is A.

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23 days ago

Read 2 more answers

Question 5 Six pairs of shoes cost as much as 1 coat, 2 pairs of jeans cost as much as 3 pairs of shoes, and 4 pairs of socks co

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4 socks equal 1 pair of jeans
2 pairs of jeans equal 3 pairs of shoes
6 pairs of shoes equal 1 coat

Since 1 pair of jeans equals 4 socks, 2 jeans amount to 8 socks.
That means 8 socks correspond to 3 shoes.
If 3 shoes equal 8 socks, then 6 shoes would equal 16 socks.
Therefore, 16 socks are equivalent to 1 coat.
By this logic, 64 socks would translate to 64 divided by 16, which equals 4 coats.

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1 month ago

The area of ABED is 49 square units. Given AGequals9 units and ACequals10 units, what fraction of the area of ACIG is represent

Svet_ta [9500]

Answer:

The shaped region accounts for 7/18 of the area of ACIG.

Step-by-step explanation:

Refer to the attached diagram for further clarity on the problem.

Step 1

Determine the length of one side of square ABED.

We know that

AB=BE=ED=AD

The area of a square can be calculated as

$A=b^{2}$

where b is the side length.

We have

$A=49\ units^2$

So we substitute

$49=b^{2}$

$b=7\ units$

Thus,

$AB=BE=ED=AD=7\ units$

Step 2

Calculate the area of ACIG.

The area of rectangle ACIG is determined by

$A=(AC)(AG)$

Substituting the given values yields

$A=(9)(10)=90\ units^2$

Step 3

Determine the area of the shaded rectangle DEHG.

The area of rectangle DEHG is given by

$A=(DE)(DG)$

We find $DE=7\ units$

$DG=AG-AD=9-7=2\ units$

and substitute $A=(7)(2)=14\ units^2$

Step 4

Calculate the area of shaded rectangle BCFE.

The area of rectangle BCFE equals

$A=(EF)(CF)$

We see that

$EF=AC-AB=10-7=3\ units$

$CF=BE=7\ units$

and substitute

$A=(3)(7)=21\ units^2$

Step 5

Add the areas of the shaded regions together.

$14+21=35\ units^2$

Step 6

Divide the area of the shaded region by the area of ACIG.

$\frac{35}{90}$

Simplify this fraction by dividing both the numerator and denominator by 5.

$\frac{7}{18}$

Hence, the shaped region represents 7/18 of the area of ACIG.

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1 month ago

The total cost of 5 doughnuts and 6 cookies at a bakery is $11.95.The cost of each cookie is $0.95.Select the equation and its s

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The formula representing this scenario is $5x+6(0.95)=11.95$

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Initially, you need to formulate the equation.

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Next, simplify the expressions.

$5x+5.7=11.95$

Afterwards, subtract 5.7 from both sides.

$5x=6.25$

Lastly, divide both sides by 5

$x=1.25$

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1 month ago