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RSB [31]
3 years ago
11

A punch recipe requires 2 cups of cranberry juice to make 3 gallons of punch. Using the same recipe, what is the amount of cranb

erry juice needed per gallon of punch?
Mathematics
1 answer:
PSYCHO15rus [73]3 years ago
4 0

I think it would be 1/2 a cup for 1 gallon...

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A line intersects the point (3,-4) and has a slope of 17. What is the slope-intercept equation for this line? y = 17x + [?]​
Ilya [14]
We can plug in the values of this point to find b
-4 = 17 (3) +b
We will multiply 17 times 3
-4 = 51 + b
We then subtract by 51 on both sides
-55 = b
So the full equation will be
y = 17x - 55
5 0
3 years ago
Read 2 more answers
A graduated cylinder is filled with 20ml of water. Then, an 8g marble is dropped into the cylinder, causing the volume to change
Tema [17]

Answer:

The density of the marble is 2,000 kg/m³

Step-by-step explanation:

The given parameters for finding the density of the marble are;

The volume of water in the graduated cylinder, v₁ = 20 ml

The mass of the marble dropped into the graduated cylinder, m = 8 g

The new volume of the cylinder after the 8 g marble is dropped into the cylinder, v₂ = 24 ml

Therefore, the volume of the marble, v = v₂ - v₁

Substituting the known values gives;

The volume of the marble, v = 24 ml - 20 ml = 4 ml

Density, ρ = Mass, m/(Volume, v), the units of density is kg/m³

Therefore, the density of the marble, \rho _{marble}, is given as follows;

\rho _{marble} = m/v = (8 g)/(4 ml) = 2 g/ml

1 g/ml = 1 kg/l = 1,000 kg/m³

∴ \rho _{marble} = 2 kg/l = 2,000 kg/m³.

4 0
3 years ago
Can someone solve 2x-3y=9 and give me the slope and y intercept SHOW WORK please
Dominik [7]

Answer:

The slope is 2/3 and the y-intercept is -3

Step-by-step explanation:

First you subtract 2/3 from both sides and get -3y=-2x+9. Then you divide -3 by -2 and -3 by 9 to get y=2/3-3.

Hope this helped I am not good at explaining but I did this unit like two months ago.

4 0
3 years ago
A wire 18 cm long is cut into two pieces. The longer piece is 6 cm longer than the shorter piece. Find the length of the shorter
Yuliya22 [10]

Answer:

shorter piece = 6. longer piece = 12

Step-by-step explanation:

short piece = s

long piece = l

l+s= 18

l= 6+s , substitute

6+s+s = 18

6+2s= 18

2s= 18-6

2s= 12

s=12/2

s= 6= shorter piece

l= 6+s

l= 6+6= 12 = longer piece

7 0
3 years ago
- The lengths (in feet) of the sides of a pentagon can be represented by these
olganol [36]

Answer:

  9a+12

Step-by-step explanation:

The perimeter is the sum of the side lengths, so is ...

  6a + a + 4 + 8 + 2a

  = a(6 +1 +2) + (4 +8)

  = 9a +12

8 0
3 years ago
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