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Blizzard [7]
1 year ago
10

Select the correct choice below and fill in any answer boxes in your choice

Mathematics
1 answer:
soldier1979 [14.2K]1 year ago
4 0

So we need to solve:

\frac{13}{y}+\frac{5}{y}=3

First is important to note that both terms on the left side of the equation have a common factor because they are both divided by y. Then:

\begin{gathered} \frac{13}{y}+\frac{5}{y}=\frac{1}{y}(13+5)=3 \\ \frac{13+5}{y}=\frac{18}{y}=3 \end{gathered}

Then:

\begin{gathered} \frac{18}{y}=3 \\ 18=3y \\ \frac{18}{3}=y \\ y=\frac{18}{3}=6 \end{gathered}

So the solution is y=6. Then option A is correct and you need to write the 6 between the symbols { }.

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D is correct. The median is 28, Q1 is 22, Q3 is 38
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3 years ago
Alexandra has $15 to buy drinks for her friends at the baseball game. Soda
EleoNora [17]

Answer:

C

Step-by-step explanation:

write an equation for the costs:

if x is the number of sodas

and y is the number of waters

2.75x + 2y <= 15

(<= is less than or equal to)

if we substitute 3 for y

we get 2.75x + 2(3) <= 15

2.75x + 6 <= 15

2.75x <= 9

9 / 2.75 = 3.2727

however, you cannot buy part of a soda

so, round to 3

you also cannot buy negative sodas

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6 0
3 years ago
The number of counties in state a and the number of counties in state b are consecutive even integers whose sum is 9090. if stat
Oliga [24]
Let x = state b , then x + 2 = state a

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2x + 2 = 9090 subtract 2 from both sides
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x = 4544
that means x + 2 = 4546

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4 0
3 years ago
Rachael is a nurse. She earns 12 vacation days after working 768 hours. How many hours does Rachael need to work to earn 1 vacat
forsale [732]
She needs to work 64 hours to earn 1 vacation day.

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6 0
3 years ago
Read 2 more answers
If 12,025 was invested at 3.25% compounded monthly 3 years, how much interest will be earned
wariber [46]

Answer:

$1,229.75

Step-by-step explanation:

Lets use the compound interest formula provided to solve this:

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

<em>P = initial balance</em>

<em>r = interest rate (decimal)</em>

<em>n = number of times compounded annually</em>

<em>t = time</em>

<em />

First, change 3.25% into a decimal:

3.25% -> \frac{3.25}{100} -> 0.0325

Since the interest is compounded monthly, we will use 12 for n. Lets plug in the values now:

A=12,025(1+\frac{0.0325}{12})^{12(3)}

A=13,254.75

Lastly, subtract A from P to get the interest earned:

13,254.75 - 12,025 = 1,229.75

6 0
3 years ago
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