Mathematics, 20.07.2019 15:20 tus

Ron and kathy are ticket sellers at their class play, ron handling students tickets that sell for $2.00 each and kathy selling adult tickets for $4.50 each. if their total income for 364 tickets was $1175.50, how many did ron sell?

Answers: 2

Show answers

Answers

Answer from: tjmoney8614

Let's create two equations and solve them using the substitution method.

$\left \{ {{s~ +~ a ~= ~364} \atop {2s~+~4.5a~=~1175.5}} \right.$

where s = student tickets and a = adult tickets.

Solve the first equation for s.

Subtract a from both sides.s = 364 - a

Plug s into the second equation.

2(364 - a) + 4.5a = 1175.5Distribute 2 inside the parentheses.728 - 2a + 4.5a = 1175.5Combine like terms.728 + 2.5a = 1175.5Subtract 728 from both sides.2.5a = 447.5Divide both sides by 2.5.a = 179

Plug 179 for a into the first equation.

s + 179 = 364Subtract 179 from both sides.s = 185

Since Ron handled student tickets, he sold 185 tickets (s = student tickets = 185).

Let's check our work.

In the first equation, s + a = 364; let's plug in what we got for a and s into the equation.

This means we will plug in 179 for a and 185 for s.

185 + 179 = 364

189 + 179 does equal 364, so this means we are correct in solving this system of equations.

Hope this helped you^

Answer from: Quest

answer with step-by-step explanation:

a. ∠j is supplementary to ∠k - true:

(opposite angles of a trapezoid are supplementary which means that they add up to 180 degrees)

b. kl is parallel to jm - true:

(opposite sides are parallel to each other in a trapezoid)

c. jk is perpendicular to kl - false:

(clearly, jk does not make a right angle with kl)

d. jk is parallel to lm - false:

(jk and lm are two lines opposite in direction to each other so they cannot be parallel)

e. ∠j is congruent to ∠m - true:

(the angles on each side of the base are congruent)

f. ∠j is congruent to ∠k - false:

(the angles on the same side but opposite side of the base are not congruent)

If jklm is a trapezoid, which statements must be true?

Answer from: Quest

step-by-step explanation:

12: 00 p.m. to 7: 00 p.m. is a total of 7 hours.

4: 00 p.m. to 7: 00 p.m. is a total of 3 hours.

this means that from 4: 00 p.m to 7: 00 p.m. this represents 3/7 of what was lost from 12: 00 p.m. to 7: 00 p.m.

after knowing this, after doing 11,600 - 6,800 = 4,800

4,800 represents 3/7 of what was lost for 7 hours.

we then divide 4,800 by 3 which gets 1,600.

because we know that 1,600 represents 1/7 of how much water was lost, we just have to multiply by 7, which gets 11,200. after adding 11,200 to how much water was left at 7: 00 p.m. which was 6,800. 11,200 + 6,800 = 18,000

this means that the pool originally had 18,000 gallons in the pool.

you can also check your work by doing 18,000 - 4(1600), which becomes 1800 - 6400 which gets you 11,600.

Another question on Mathematics

Mathematics, 22.06.2019 00:00

Apolygon is shown on the graph: a polygon is shown on the coordinate plane. vertices are located at 3 comma 5, 1 comma 3, 1 comma 1, 2 comma 0, 4 comma 0, 5 comma 1, and 5 comma 3. what effect will a translation 3 units down and 2 units left have on the polygon? be sure to address how it could impact the angles, side lengths, and congruency between the original pre-image and the image. xd i need

Answers: 3

Answer

Mathematics, 22.06.2019 00:00

Charlie is at an amusement park that has 18 different rides. each ride costs $1.75. the function c(r) = 1.75r represents the total amount of money that charlie will spend if he goes on r rides, but he never goes on the same one more than once. what domain and range are reasonable for the function?

Answers: 3

Answer

Mathematics, 22.06.2019 01:30

Arectangle has a length of 6cm by 8cm what is the length of a diagonal of the rectangle

Answers: 1

Answer

Mathematics, 22.06.2019 01:40

Me i'm timed right now! there's 4 answer

Answers: 2

Answer

You know the right answer?

Ron and kathy are ticket sellers at their class play, ron handling students tickets that sell for $2...