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Nesterboy [21]
3 years ago
7

ABC underwent a sequence of rigid transformations to give ABC. Which transformations might have taken place ?

Mathematics
1 answer:
SVEN [57.7K]3 years ago
5 0

Either a reflection across the origin. Or a 180° clockwise rotation.

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The coffee Lily likes is composed of 97.3% water and 2.7% cocoa. The coffee John likes is composed of 96% water and 4% cocoa. Ho
mestny [16]

30 ounces of the coffee John likes consists of

  • 0.96\cdot30=28.8 ounces of water
  • 0.04\cdot30=1.2 ounces of cocoa

To this mixture we're adding x ounces of water, so that the new mix has a total volume of 30+x ounces and matches the composition of the coffee Lily likes. This means it would consist of

  • 0.973\cdot(30+x)=28.8+x ounces of water
  • 0.027\cdot(30+x)=1.2 ounces of cocoa (same amount of cocoa as before because pure water is being added)

Solve for x:

0.973(30+x)=28.8+x\implies29.12+0.973x=28.8+x

\implies0.39=0.027x

\implies x\approx14.4

###

Just to confirm: the new mixture consists of

  • 28.8+14.4=43.2 ounces of water
  • 1.2+0=1.2 ounces of cocoa

giving a total volume of 43.2+1.2=44.4 ounces of coffee, and \dfrac{43.2}{44.4}\approx0.973, as required.

4 0
3 years ago
A line passes through the origin and the point
beks73 [17]

Answer:

Y=4+8

Step-by-step explanation:

6 0
3 years ago
Someone PLEASE help me !!
borishaifa [10]

Answer:

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7 0
2 years ago
Read 2 more answers
Kamil and Sean share some money in the ratio 3:5. Sean gets $56 more than Kamil. How much do they get each?
liq [111]
Let Kamil get x. Therefore Sean would get (x + 56).

Kamil and Sean are in the ratio:        3:5

That means:    x : (x + 56) = 3 : 5

x / (x + 56) = 3/5

5*x = 3*(x + 56)

5x = 3*x + 3*56

5x = 3x + 168

5x - 3x = 168

2x = 168

x = 168 / 2

x = 84

Therefore Kamil had, x = 84,  and Sean had (x + 56) = 84 + 56 =  140

Kamil had $84 and Sean had $140
3 0
3 years ago
(2,-1) <br> y-intercept -3 <br> slope 1/2<br><br> Write an equation with the given info above.
jek_recluse [69]

y-intercept -3  

slope 1/2

is sufficient info with which to write an equation for a straight line:

y = mx + b becomes y = (1/2)x - 3.

You should check this by determining whether or not (2,-1) satisfies this equation.

4 0
3 years ago
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