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strojnjashka [21]
2 years ago
14

A school drama department sells 40 more student tickets than adult tickets. Charging $8 for adult tickets and $6 for student tic

kets, they raise a total of $1,920 in ticket sales. Let x represent the number of adult tickets sold and y represent the number of student tickets sold. Which system of equations can be used to find how many of each ticket is sold?
Mathematics
2 answers:
Kipish [7]2 years ago
8 0
8x+6y=1920
Y=40+x

8x+6(40+x)=1920
Solve for x
X=120

Y=40+120=160
kirza4 [7]2 years ago
5 0

Answer:

answer is D

Step-by-step explanation:

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A rectangular prism has a volume of 170 cubic centimeters. The length of the prism is 5 centimeters, and the height of the prism
luda_lava [24]

Answer:

The width of the prism is 2 cm

Step-by-step explanation:

The given parameters are;

The volume of the prism = 170 cm³

The length of the prism = 5 cm

The height of the prism = 17 cm

The volume of the prism is given by the  relationship v = Length, l × Height, h × Width, w

Therefore;

The volume of the prism = 5 cm × 17 cm × w = 170 cm³

Which gives;

w = 170 cm³/(5 cm × 17 cm) = 170 cm³/(85 cm) = 2 cm

∴ The width of the prism = 2 cm.

7 0
2 years ago
How many bands uniforms can be made with 131 3/4 yards of fabric if each uniform requires 3 7/8
mafiozo [28]
<span>131 3/4 divided by 37/8.
   
527/4 divided by 31/8.
   
527/4 divided by 8/31.
   
1054/31.
   
34.</span>
3 0
2 years 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,
taurus [48]

Answer:

(A)(12, 9)

Step-by-step explanation:

Given:

The beginning of the left edge of the stencil falls at (2, −1).

A point, say Q on the stencil is at  (4, 1).

Point Q divides the stencil into the ratio 1:4.

We are required to find the end of the stencil.

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

For internal division of a line with beginning point (x_1,y_1) and end point (x_2,y_2) in the ratio m:n, we use 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

Therefore:

(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 correct option is A.

6 0
2 years ago
Read 2 more answers
If a cube has an edge of 2 feet. The edge is increasing at the rate of 6 feet per minute. How would i express the volume of the
photoshop1234 [79]

Answer:

v(m) = 8 + 48m+ 180m² +216m³

Step-by-step explanation:

Let's first of all represent the edge of the the cube as a function of minutes.

Initially the egde= 2feet

As times elapsed , it increases at the rate of 6 feet per min, that is, for every minute ,there is a 6 feet increase.

Let the the egde be x

X = 2 + 6(m)

Where m represent the minutes elapsed.

So we Al know that the volume of an edge = edge³

but egde = x

V(m) = x³

but x= 2+6(m)

V(m) = (2+6m)³

v(m) = 8 + 48m+ 180m² +216m³

8 0
2 years ago
The summer camp Jessica attends is four hundred twenty-three and four tenths miles from her home. A detour adds 10 miles to the
juin [17]

Given that Jessica attends summer camp at a distance of four hundred twenty-three and four tenth mile = 423\frac{4}{10}  = 423 + \frac{4}{10} = 423+0.4 = 423.4 miles

And a detour adds 10 miles to the distance.

That means we need to add 10 miles to the given distance.

So new distance = 423.4 + 10 = 433.4 miles

Hence Jessica needs to travel 433.4 miles for summer camp.

5 0
2 years ago
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