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4 years ago

A total of

1 answer:

3 0

Let x equal the number of adult tickets sold.

X + 3X=512
(I put 3x because we know the students sold 3 times as many).
Solve for X.

X+3X=512
4X=512
4X/4=512/4
X=128

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What does x in this equation<br>2x-3=6

sweet [91]

Answer:

x=4.5

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Regina bought a handmade quilt at original cost $120 to sell in her quilt store. She marked the price up 55%.

galben [10]

Answer:

$Selling\ price = \$190.65$

Step-by-step explanation:

Given

$Price = \$123$

$Marked\ up = 55\%$

Required

The selling price

This is calculated as:

$Selling\ price = Price + Marked\ up* Price$

$Selling\ price = \$123 + 55\% * \$123$

$Selling\ price = \$123 + \$67.65$

$Selling\ price = \$190.65$

5 0

3 years ago

Read 2 more answers

A store is selling 5 types of hard candies: cherry, strawberry, orange, lemon and pineapple. How many ways are there to choose:(

Volgvan

Answer:

The number of ways of selecting of n items form r different items = $^{(n+r-1)}C_{(r-1)}$

A store is selling 5 types of hard candies: cherry, strawberry, orange, lemon and pineapple.

A) How many ways are there to choose 32 candies?

So, n = no. of items = 32

r = no. of types of items = 5

So, No. of ways to choose 32 candies = $^{(32+5-1)}C_{(5-1)}$

= $^{36}C_{4}$

= $\frac{36!}{4!(36-4)!}$

= $58905$

So, No. of ways to choose 32 candies is 58905

B)32 candies with at least a piece of each flavor?

Out of 32 you choose 5 candies of different types

So, Remaining candies = 32 - 5 = 27

So, No. of ways to choose 27 candies = $^{(27+5-1)}C_{(5-1)}$

= $^{31}C_{4}$

= $\frac{31!}{4!(31-4)!}$

= $31465$

So, No. of ways to choose 32 candies with at least a piece of each flavor is 31465

C) 32 candies with at least 4 cherry and at least 6 lemon?

So, you already choose 6+4= 10

So, remaining candies = 32-10 = 22

So, No. of ways to choose 22 candies = $^{(22+5-1)}C_{(5-1)}$

= $^{26}C_{4}$

= $\frac{26!}{4!(26-4)!}$

= $14950$

Hence No. of ways to choose 32 candies with at least 4 cherry and at least 6 lemon is 14950

8 0

4 years ago

Which ratio would help find the distance the person is from the flag pole ¨X¨ if the angle is elevation of 30 degrees.

WINSTONCH [101]

Answer:

There are three major trignometric ratios in mathematics and they are:

sine(sin), cosine(cos) and tangent(tan). A popular acronym is used in recalling the formula for each ratio and it is: SOH-CAH-TOA.

Sine(x) = Opp/Hyp

Cosine(x) = Adj/Hyp

Tangent(x) = Opp/Adj

Now, the Hyp is the hypothenus of the triangle and it is the side opposite to angle 90. The opposite and adjacent is kind of relative depending on the angle been considered. For this case, we are considering angle 30 which the opposite side is 60 and the remaining side becomes the adjacent

Step-by-step explanation:

tan 30 = 60/x

5 0

3 years ago

A) Work out (5 x 10^3)x(9 x 10^7)<br> Give your answer in standard form.

Marina86 [1]

Answer:

45000000000

Step-by-step explanation:

when multiplying exponents, you multiply base numbers with no exponent (9 and five in this case) and numbers with exponents (10 in this case). 9 X 5 is 45 and 10 to the power of 7 times 10 to the power of 2 is 10 to the power of 9 or 1000000000. 45 X 1000000000 is 45000000000.

8 0

3 years ago