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Irina-Kira [14]
3 years ago
14

Can someone please help this is due at 9

Mathematics
1 answer:
likoan [24]3 years ago
3 0

Answer:

70

Step-by-step explanation:

We have the final part 4x/40 = 7. We can simplify this to x/10 = 7 by dividing the numerator and the denominator by 4. We then multiply both sides by 10 to get x = 70

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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
Distributive prperty m(13-2r)
exis [7]

Answer:

13m-26mr boom that's it

Step-by-step explanation:

i think

5 0
3 years ago
Someone help me please
Elis [28]

Answer:::::::

-6

-3

0

3

6

5 0
2 years ago
If sin(A+B)=1/2 & sin(A-B)=1/3 find sin(2A)
timofeeve [1]

Answer:

sin(2A) = (2√2 + √3) / 6

Step-by-step explanation:

2A = (A+B) + (A−B)

sin(2A) = sin((A+B) + (A−B))

Angle sum formula:

sin(2A) = sin(A+B) cos(A−B) + sin(A−B) cos(A+B)

sin(2A) = 1/2 cos(A−B) + 1/3 cos(A+B)

Pythagorean identity:

sin(2A) = 1/2 √[1 − sin²(A−B)] + 1/3 √[1 − sin²(A+B)]

sin(2A) = 1/2 √(1 − 1/9) + 1/3 √(1 − 1/4)

sin(2A) = 1/2 √(8/9) + 1/3 √(3/4)

sin(2A) = 1/3 √2 + 1/6 √3

sin(2A) = (2√2 + √3) / 6

6 0
3 years ago
This is my last problem for this it shouldn’t take long pls help.
White raven [17]

Answer:

2

Step-by-step explanation:

i got 20/8 from multiplying same with 1/2

20/8 - 1/2 = 2

5 0
2 years ago
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