Now let's explore how to use Desmos to help solve questions like the following.

The movie theatre charged $6 for children tickets (x) and $9 for adult tickets (y). The total revenue for Friday night was $1500. How could you type this out as an equation?

Answer:

Adult tickets sold = 240

Step-by-step explanation:

If student tickets = x,

Adult tickets = 3x + 6

Since the total amount of tickets sold was 318, the equation would be:

x + 3x + 6 = 318

Simplify this:

4x + 6 = 318

4x = 312

x = 78

Student tickets = 78

and so:

Adult tickets = (3 x 78) + 6 = 240

Answer:

8.60

Step-by-step explanation:

8.602

since 2 is below 5 it cant change the 0

so

0 will stay 0

Answer:

aaaaaa

Step-by-step explanation:

did it on edge

The following are true; 11 meters = 1,100 centimeters, 5 meters = 500 centimeters and 12 centimeters = 120 millimeters

Quantities are units of measurement. The following conversion factors are true

Using this conversion factors to determine the true statements, the following are true;

11 meters = 1,100 centimeters, 5 meters = 500 centimeters and 12 centimeters = 120 millimeters

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Answer:

$36.25

Step-by-step explanation:

Shipping and tax are 25% the price of online book, thus it will be 25/100 x 29 = $7.25

Thus, total will be 29 + 7.25 = $36.25

Answer:

444.943

Step-by-step explanation:

Subtract 52.12 from 497.063, and you get 444.943.

Step-by-step explanation:

(4/3)•πr³

= 4/3 • π • (1/4)³

= π/48 cubic units or 150.86 cubic units

Volume of sphere is  [tex]\frac{11}{14}[/tex] cubic unit.

The volume of sphere is the measure of space that can be occupied by a sphere. A sphere is a three-dimensional shape that has no edges or vertices.

Volume of sphere = [tex]4\pi r^{2}[/tex]

Given

Radius of sphere = [tex]\frac{1}{4}[/tex] unit

Volume of sphere = [tex]4\pi r^{2}[/tex]

= 4 × [tex]\pi[/tex] × [tex](\frac{1}{4} )^{2}[/tex]

= 4 × [tex]\frac{22}{7}[/tex] × [tex]\frac{1}{16}[/tex]

= [tex]\frac{11}{14}[/tex]

Hence, Volume of sphere is  [tex]\frac{11}{14}[/tex] cubic unit.

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2 years

Step-by-step explanation:

Principle = Rs. 2000

Rate of Interest = 10%

Amount = Rs. 2420

Formula used = P(1+R/100)^T

=> 2420 = 2000 ( 1+10/100)^T

=> 2420 = 2000 (10+1/10)^T

=> 2420 = 2000 (11/10)^T

=> 2420/2000 = (11/10)^T

=> 121/100 = (11/10)^T

=> 11/10 = (11/10)^T

=> 2 years.

Answer:

16/49

Step-by-step explanation:

DIVIDE 4/7 BY 1 3/4

Answer:

using hyp²=opp²+adj²

x²=21²+20²

x²=441+400

x²=841

x =/841

x=29

Answer:

It's 29 ft. Hope the picture will help you understand better.

Probability helps us to know the chances of an event occurring. The probability of getting a 3, 4 or 5 when a dice is rolled once is 1/2.

Probability helps us to know the chances of an event occurring.

[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]

The probability of 3, 4 or 5 can be written as,

P(3, 4 or 5) = 3/6 = 1/2

Hence, the probability of getting a 3, 4 or 5 when a dice is rolled once is 1/2.

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Answer:

$56.

$83.99.

Step-by-step explanation:

She will save  40% of $139.99

= 0.40 * 139.99

= $56.

With the discount membership costs:

139.99 - 56

= $83.99.

Answer:

I think the answer is "No, he chose only members of  specific part of the population"

Step-by-step explanation:

I think it's this one because he only did names he recognizes he didn't do the entire town

Answer:

a. D et er mi ne wh et h er  –(x3 + 5x + 1)

is eq uiv ale nt to  x3 + 5x + 1

A fu nc ti on is ev en if  f ( x )  =  f ( - x )  for all x.

f(-x) = -x³ + 5(-x) + 1

f(-x) = -x³ - 5x + 1

Det ermi ne wh eth er (–x)3 + 5(–x) + 1 is eq uiv ale nt to x3 + 5x + 1

Step-by-step explanation:    

Answer: $21.75

Step-by-step explanation:

356*.0625 = 22.25

so 6.25% of 356 = $22.25

356+22.25 = $378.25 (this is how much he owes)

400-378.25 = $21.75

So he recieves $21.75 back

Answer: i need to see a picture or sum , i have to go off of

Step-by-step explanation:

Answer:

y = x + 3

Step-by-step explanation:

Parallel: x - y = 5 -> y = x - 5

Take the slope from Parallel. m = 1

Point (-5,-2) = (x_0, y_0) ,  m = 1

Point-Slope Form: [tex](y - y_0) = m * (x - x_0)[/tex]

(y - (-2)) = 1 * (x - (-5))

y + 2 = 1x + 5

y = x + 3

Answer:

3 miles/h

Step-by-step explanation:

You can set up a division problem to represent the equation.

12 miles÷4 hours=3 miles/hr

Answer:

B. 1/8

Step-by-step explanation:

Chance of each number = 1

Total number of chances = 8 (including 0)

Therefore,

Chance that each number will occur = 1/8

Hope it helps:)

Have a good day!

Answer:

Rational

Step-by-step explanation:

Rational numbers are numbers that can be made by dividing two integers, or are the product of two integers. This includes demicals (terminating and repeating), fractions where the numerator and denominator are integers, and perfect squares. This is a terminating decimal, so it is a rational number.

hope this helps :)

Answer:

D) Soccer Field and Park

Step-by-step explanation:

Erica travels 4 blocks right and 4 blocks up between 2 locations on the map. Which two locations does she travel between?

Rule: (x + 4, y + 4)

Locations:

A. Town Hall to Ice Rink

(x + 4, y + 4) → (4 + 4, 9 + 4) → (8, 13)

Town Hall (4, 9) to Ice Rink (8, 13)❌(Does not match the coordinates on the graph)

B. Park to Town Hall

(x + 4, y + 4) → (6 + 4, 6 + 4) → (10, 10)

Park (6, 6) to Town Hall (10, 10) ❌(Does not match the coordinates on the graph)

C. Ice Cream Parlor to Town Hall

(x + 4, y + 4) → (1 + 4, 6 + 4) → (5, 10)

Ice Cream Parlor (1, 6) to Town Hall (5, 10)❌(Does not match the coordinates on the graph)

D. Soccer Field to Park

(x + 4, y + 4) → (2 + 4, 2 + 4) → (6, 6)

Soccer Field (2, 2) to Park (6, 6) ✅(Matches the coordinates on the graph)

Therefore, the correct answer is D.

Hope this helps!

Answer:

14

Step-by-step explanation:

the perimeter equation is 2(h+w)=p
substitute h with 14, and p with 56
2(14+w)=56

14*2=28

56-28=28

28/2=14

width is 14
(this is a square)

Answer:

height of the peak AB is 40 feet.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Step-by-step explanation:In the figure attached, A is the peak of mountain AB, ED is Tyler who is 6 feet high. Mirror placed at C, is 20 feet from the base of peak. Tyler is 3 feet away from the mirror.1). When Tyler sees the peak in the mirror, angle of incidence " i " and angle of reflection " r " made by incident ray AC and reflected ray EC will be equal.Now we can easily say ∠ r = ∠ E ( Alternate angles )∠ i = ∠ A ( alternate angles)Since ∠ i = ∠ r Therefore, ∠ A = ∠ E∠B = ∠D = 90°and ∠ACB = ∠ECDHence  ΔABC is similar to ΔCDE.2). Corresponding sides of these similar triangles are AB and ED, BC and CD, AC and CE.3). tanE = tanE = 0.5 ∠ E =  degreesNow ∠E = ∠A = 26.57°Therefore, tan(26.57) = 0.5 = AB = Therefore, height of the peak AB is 40 feet.

Answer:

1,2,4,6,-8....

Step-by-step explanation:

Answer:

[tex]y=2x+3[/tex]

Step-by-step explanation:

The slope-intercept form is [tex]y=mx+b[/tex], where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept.

[tex]y=mx+b[/tex]

Using the slope-intercept form, the slope is 2.

[tex]m=2[/tex]

So in order for us to find an equation that is parallel, the slopes must be equal. We need to find the parallel line using the point-slope formula.

We use the slope 2 and a given point [tex](2,7)[/tex] to substitute for x1 and y1 in the point-slope form [tex]y-y^1 = m (x-x^1)[/tex], which is derived from the slope equation: [tex]m=\frac{y2-y1}{x2-x1}[/tex]

Now we simplify the equation and keep it in point-slope form.

[tex]y-7=2[/tex]  × [tex](x-2)[/tex]

Simplify [tex]2[/tex] × [tex](x-2)[/tex]

[tex]y-7=2x-4[/tex]

[tex]Rewrite.~y-7=0+0+2~x~(x-2)[/tex]

[tex]Simplify~ by~adding~zeros.~y-7=2 ~x~(x-2)[/tex]

[tex]Apply~the~distributive~property.~y-7=2x+2~X~-2[/tex]

[tex]Multiply~2~by~-2.~y-7=2x-4[/tex]

Last, We move all terms not containing y to the right side of the equation.

Add 7 to both sides of the equation.

[tex]y=2x-4+7[/tex]

Add −4 and 7 and your answer will be: [tex]y=2x+3[/tex]

Answer:

198.78m

Step-by-step explanation:

1. Find the area of the circles:

[tex]a = r^{2}\pi[/tex]

[tex]a = \frac{3}{4} * 4^{2} *\pi[/tex]

[tex]a = 37.7[/tex]

Since there are 2 circles we need to times this value by 2:

[tex]37.7 *2 = 75.4[/tex]

2. Now let's find the area of the regtangular figures

[tex]4 * 6 * 2 = 48[/tex]

3. Now the circular part of the outside of the cylinder

[tex]4 * 2 * \pi = 25.13[/tex]

[tex]25.13 * 6[/tex] = 150.78

Since this is not the actual value we need to find 25% of this value and subtract it.

[tex]150.78 - 150.78*0.25 = 150.78 - 37.7 = 113.08[/tex]

4. Let's add these values together

[tex]113.08 + 48 + 37.7[/tex] = 198.78m

Answer: the fourth one

Step-by-step explanation:

your welcome :)