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xz_007 [3.2K]
2 years ago
9

Mary is buying tickets for a movie.

Mathematics
1 answer:
Anastasy [175]2 years ago
3 0

adult ticket = 10

child ticket = 4

Step-by-step explanation:

for example…

  • adult ticket = x
  • child ticket = y

so that we get a system of equations

9x + 5y = 110…Equation 1

x + y = 14…Equation 2

solve the system of equations, this time I will use the Elimination and Substitution method

9x + 5y = 110

x + y = 14 (multiplied by 5)

↓↓↓↓↓↓↓

9x + 5y = 110

5x + 5y = 70

___________ _

4x = 40

<u>x = 10</u>

to find value of y subtitute x to one of Equation. for example from second Equation…

x + y = 14

10 + y = 14

y = 14 - 10

<u>y = 4</u>

∴ So, the number of each ticket was she bought is <u>10 adult ticket</u> and <u>4 child </u><u>ticket.</u>

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If Free Yer Assets Bank (FYAB) will give you 0.25% compounded quarterly and I.M.A.Q.T.π bank will give you 0.23% interest compou
ivann1987 [24]

Answer:

FYAB gives a better deal.

Step-by-step explanation:

Compound interest:

A = P(1 + \dfrac{r}{n})^{nt}

Continuously compounded interest:

A = Pe^{rt}

For the quarterly compounded interest, r = 0.25%, and n = 4.

2P = P(1 + \dfrac{0.0025}{4})^{4t}

1.000625^{4t} = 2

\log (1.000625^{4t}) = \log 2

4t(\log 1.000625) = \log 2

t = \dfrac{\log 2}{4\log 1.000625}

t = 277

For the continuously compounded interest, r =0.23%

A = Pe^{rt}

2P = Pe^{0.0023t}

2 = e^{0.0023t}

\ln 2 = \ln e^{0.0023t}

\ln 2 = 0.0023t

t = \dfrac {\ln 2}{0.0023}

t = 301

The quarterly compounded doubles in 277 years.

The continuously compounded doubles in 301 years.

Answer: FYAB gives a better deal.

7 0
3 years ago
The minute hand of a clock is 6 inches long and moves from 12 to 1 ​o'clock. How far does the tip of the minute hand​ move? Expr
Strike441 [17]

Answer: 12.57

Step-by-step explanation:

4 0
3 years ago
If f(x) = 53 - 2x, then f(-3) =
zheka24 [161]
Substitute -3 for x in the expression

f(x)= 53 - 2x

f(-3)= 53 - 2(-3)
multiply -2 * -3

f(-3)= 53 + 6
add

f(-3)= 59


ANSWER: f(-3)= 59

Hope this helps! :)
4 0
3 years ago
A carton of eggs costs $2.90 and a package of bacon costs $3.10. How much
Dominik [7]

Answer:

$8.90

Step-by-step explanation:

((2)(2.90))+(3.10)= $8.90

3 0
3 years ago
Read 2 more answers
<img src="https://tex.z-dn.net/?f=53%20%5Ctimes%20%5Cfrac%7B8%7D%7B6%7D%20" id="TexFormula1" title="53 \times \frac{8}{6} " alt=
Strike441 [17]

Answer:

What do you want your answer in? Exact or decimal form?

Exact form: 212/3

Decimal form 70.6

Step-by-step explanation:

Cancel the common factor of 8 and 6 for 53 * 4/3. Multiply 53(4/3), 212/3. This would be the answer for the exact form, decimal form is created by dividing 212 by 3, for 70.66666--.

8 0
3 years ago
Read 2 more answers
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