All categories

1 year ago

Layla has a points card for a movie theater.

Mathematics

1 answer:

8090 [49]1 year ago

3 0

X = 6 visits

X = number of visits
60 + 11.5 x = 129 points
11.5 x = 129 -60
11.5x = 69
X= 69/11.5
X= 6

You might be interested in

4 divided by -3 as a simplified fraction

tensa zangetsu [6.8K]

Answer:

The answer is -4/3 or -1 1/3

4 0

2 years ago

Read 2 more answers

This uses pythagorean theorem

Klio2033 [76]

Step-by-step explanation:

x²=a²+b²

x=√6²+12²

x=√180

x=3√2v

y²=16²+12²

y=√400

y=20

7 0

3 years ago

Read 2 more answers

y varies inversely with x. If x is 2.3 when y is 5.1, what is k, the constant of inverse variation? Round your answer to the nea

snow_tiger [21]

$\bf \qquad \qquad \textit{inverse proportional variation}
\\\\
\textit{\underline{y} varies inversely with \underline{x}}\qquad \qquad y=\cfrac{k}{x}\impliedby 
\begin{array}{llll}
k=constant\ of\\
\qquad variation
\end{array}\\\\
-------------------------------\\\\
\textit{we also know that }
\begin{cases}
x=2.3\\
y=5.1
\end{cases}\implies 5.1=\cfrac{k}{2.3}\implies (5.1)(2.3)=k$

6 0

3 years ago

Read 2 more answers

Please help!<br>"solving proportions" is what needs done<br>please show all work clearly!

Oksana_A [137]

23) x = $\frac{-60}{9}$ = -6.666.

24) x = $\frac{-12}{7}$ = -1.7142.

25) x = $\frac{-37}{5}$ = -7.4.

Step-by-step explanation:

Step 1; For $\frac{x+6}{3}$ = $\frac{x+4}{12}$ , we cross multiply the denominators and get,

3 × (x + 4) = 12 × (x + 6),

3x + 12 = 12x + 72.

We take all the x terms to the LHS and keep the constants on the RHS.

3x - 12x = 72 - 12,

-9x = 60, x = $\frac{-60}{9}$ = -6.6666.

Step 2; For $\frac{-5}{x-4}$ = $\frac{9}{x+12}$ , we cross multiply the denominators and get,

-5 × (x + 12) = 9 × (x - 4),

-5x - 60 = 9x - 36.

We take all the x terms to the LHS and keep the constants on the RHS.

-5x - 9x = -36 + 60,

-14x = 24, x = $\frac{-24}{14}$ = -1.7142.

Step 3; For $\frac{6}{11}$ = $\frac{x-1}{x-8}$ , we cross multiply the denominators and get,

6 × (x - 8) = 11 × (x - 1),

6x - 48 = 11x - 11.

We take all the x terms to the LHS and keep the constants on the RHS.

6x - 11x = -11 + 48,

-5x = 37, x = $\frac{-37}{5}$ = -7.4.

7 0

3 years ago

WILL MARK BRAINILEST!!!!!

kirill [66]

To solve this we are going to use the compound interest formula with periodic deposits: $A=P(1+ \frac{r}{n} )^{nt}+P_{d}( \frac{(1+ \frac{r}{n})^{nt}-1 }{ \frac{r}{n} } )(1+ \frac{r}{n} )$
where
$A$ is the final amount after $t$ years
$P$ is the initial investment
$P_{d}$ is the periodic deposits
$r$ is the interest rate in decimal form
$n$ is the number of times the interest is compounded per year
$t$ is the time in years

Since he is going to save from 27 years old until 65 years old, $t=65-27=38$ . We know that hes is opening his IRA with $0, so $P=0$ ; We also know that he is going to invest $200 at the beginning of each month, so $P_{d}=200$ . To convert the interest rate to decimal form, we are going to divide it by 100: $r= \frac{2.65}{100} =0.0265$ , and since the interest is compounded monthly, $n=12$ . Lets replace all the values in our formula to find $A$ :
$A=P(1+ \frac{r}{n} )^{nt}+P_{d}( \frac{(1+ \frac{r}{n})^{nt}-1 }{ \frac{r}{n} } )(1+ \frac{r}{n} )$
$A=0(1+ \frac{0.0265}{12} )^{(12)(38)}+200( \frac{(1+ \frac{0.0265}{12})^{(12)(38)}-1 }{ \frac{0.0265}{12} } )(1+ \frac{0.0265}{12} )$
$A=157419.04$

We can conclude that Rick will have $157,419.04 in his IRA account by the time when he retires.

4 0

3 years ago