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konstantin123 [22]
1 year ago
12

Last week at a festival, a man sold 4 times as many tie-dyed T-shirts as silk screened shirts. He sold 180 shirts altogether. Ho

w many tie-dyed shirts did he sell?
Mathematics
1 answer:
lyudmila [28]1 year ago
7 0

Let the number of tie-dyed T-shirts = x

The man sold 4 times as many tie-dyed T-shirts as silk-screened shirts.

So, the number of silk-screened shirts = 4x

He sold 180 shirts altogether

So,

\begin{gathered} x+4x=180 \\ 5x=180 \\  \\ x=\frac{180}{5}=36 \end{gathered}

So, the number of tie-dyed shirts = 36

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3x+2y=23<br> 1/2x-4=y<br><br> What should I do for this one...? I dont really understand
Hitman42 [59]

Since you have y alone on one side of the equation......

Use substitution and plug in 1/2x-4 for y in the other equation.


3x+2(1/2x-4)=23\\

Distribute

3x+x-8=23

Combine like terms

4x-8=23

Add 8 to both sides

4x=31

Divide by 4

and x=31/4

Plug this value in for x

31/4*1/2-4=y

Simplify

31/8-4=y

Multiply everything by 8 and simplify

31-32=8y\\-1=8y

Divide.....

y=-1/8


Your answers are:

y=-1/8\\x=31/4



8 0
3 years ago
What is number 61 and a step by step explaination please?
astra-53 [7]

1/3 ln(<em>x</em>) + ln(2) - ln(3) = 3

Recall that m\log_b(n)=\log_b(n^m), so

ln(<em>x</em> ¹ʹ³) + ln(2) - ln(3) = 3

Condense the left side by using sum and difference properties of logarithms:

\log_b(m)+\log_b(n)=\log_b(mn)

\log_b(m)-\log_b(n)=\log_b\left(\dfrac mn\right)

Then

ln(2/3 <em>x</em> ¹ʹ³) = 3

Take the exponential of both sides; that is, write both sides as powers of the constant <em>e</em>. (I'm using exp(<em>x</em>) = <em>e</em> ˣ so I can write it all in one line.)

exp(ln(2/3 <em>x</em> ¹ʹ³)) = exp(3)

Now exp(ln(<em>x</em>)) = <em>x </em>for all <em>x</em>, so this simplifies to

2/3 <em>x</em> ¹ʹ³ = exp(3)

Now solve for <em>x</em>. Multiply both sides by 3/2 :

3/2 × 2/3 <em>x</em> ¹ʹ³ = 3/2 exp(3)

<em>x</em> ¹ʹ³ = 3/2 exp(3)

Raise both sides to the power of 3:

(<em>x</em> ¹ʹ³)³ = (3/2 exp(3))³

<em>x</em> = 3³/2³ exp(3×3)

<em>x</em> = 27/8 exp(9)

which is the same as

<em>x</em> = 27/8 <em>e</em> ⁹

3 0
3 years ago
David walked 0.5 kilometer from his home to the library which fraction is equivalent to 0.5
dusya [7]

Answer:

1/2

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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d = √(36 + 81)

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d = 10.8167

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