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adell [148]
3 years ago
11

One hat and Two shirts costs $21. Two hats and one shirt $18. Megan has exactly enough money to buy one hat and one shirt. How m

uch money does Megan have?
Mathematics
1 answer:
xxTIMURxx [149]3 years ago
8 0

Suppose Megan has enough money to buy 1 hat and 2 shirts for $21 and then another 2 hats and 1 shirt for $18.  In total, she has bought 3 hats and 3 shirts for $39.  But she has enough for only 1 hat and 1 shirt and so Megan has 39 ÷ 3 = $13.

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To celebrate getting a new job, Marco went out for a dinner that cost $100. If the local sales tax is 6% and Marco left a 15% ti
lorasvet [3.4K]

9514 1404 393

Answer:

  $121.00

Step-by-step explanation:

Together, the tax and tip were 6% and 15% of $100, or 21% of $100. That means the total cost of Marco's mean was ...

  (1 +21%) × $100 = 1.21×$100 = $121.00

5 0
3 years ago
Which expression is equivalent to the following complex fraction?
ivanzaharov [21]
<h2>Answer:</h2>

The expression which  is equivalent to the following complex fraction is:

                   \dfrac{-2y+5x}{3x-2y}

<h2>Step-by-step explanation:</h2>

We are given a expression in terms of two variables x and y as follows:

\dfrac{\dfrac{-2}{x}+\dfrac{5}{y}}{\dfrac{3}{y}-\dfrac{2}{x}}

Now, on taking least common multiple in the numerator as well as in the denominator we have:

\dfrac{\dfrac{-2y+5x}{xy}}{\dfrac{3x-2y}{xy}}

which on further simplifying is:

\dfrac{-2y+5x}{3x-2y}

5 0
3 years ago
Read 2 more answers
AC = <br> Round your answer to the nearest hundredth.
dusya [7]

Answer:

AC ≈ 5.03

Step-by-step explanation:

We can solve the problem above using the trigonometric ratio, they are;

SOH CAH TOA

sin Ф = opposite / hypotenuse

cosФ= adjacent/ hypotenuse

tan Ф = opposite / adjacent

From the diagram above, in reference to angle B;

opposite =AC     and   adjacent =BC

Since we have opposite and adjacent, the best formula to use is

tanФ = opposite / adjacent

tan B = AC  / BC

tan 40 =  AC/ 6

Multiply both-side of the equation by 6

6× tan 40   =  AC/ 6  ×  6

At the right-hand side of the equation, 6 will cancel-out 6 leaving us with just AC

6×tan 40 = AC

5.034598  = AC

AC ≈ 5.03   to the nearest hundredths

4 0
4 years ago
You go to a restaurant with 3 friends the total bill is 90 you pay 6% tax and add 20% tip what do you pay
pshichka [43]
$90 ×.06=5.40
$95.40×.20=19.08
95.40+19.08=114.48
114.48/3=38.16
Each person pays 38.16
check your work 38.16×3=$114.48

You pay $38.16 for your bill unless your friends stiff you.
3 0
3 years ago
Question 5 (1 point)
bearhunter [10]

Answer:

T(x)=84-2x

Step-by-step explanation:

Linear Modeling

The initial temperature outside is 84 degrees.

We are told the temperature drops 2 degrees every hour.

Let's call x to the number of hours elapsed. After x hours, the temperature would have dropped by 2x degrees, since it's a rate of 2 degrees per hour.

That drop is subtracted from the initial temperature to produce the linear model as follows:

\mathbf{T(x)=84-2x}

This is the linear equation that represents the described situation.

5 0
3 years ago
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