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Vlad [161]
3 years ago
12

A recipe calls for 3 cups of flour for every 5 eggs. How many cups of flour do you need for every 1 egg?

Mathematics
1 answer:
kodGreya [7K]3 years ago
8 0

Answer:

\boxed {\boxed {\sf \frac {3}{5} \ or \ 0.6 \ cups \ of \ flour}}

Step-by-step explanation:

Let's set up a proportion using this setup.

\frac { flour}{ eggs}=\frac { flour}{ eggs}

We know that 3 cups of flour are needed for every 5 eggs.

\frac {3 \ cups \ flour}{5 \  eggs}=\frac { flour}{ eggs}

We don't know how many cups are needed for 1 egg, so we say x cups for 1 egg.

\frac {3 \ cups \ flour}{5 \  eggs}=\frac { x \ cups \ flour}{ 1 \ egg}

\frac {3 }{5 }=\frac { x }{ 1 }

We are solving for x, so we must isolate the variable. x is being divided by 1. The inverse of division is multiplication, so multiply both sides by 1.

1*\frac{3}{5}= \frac {x}{1}*1\\

\frac{3}{5}=x

0.6=x

For every 1 egg, 3/5 or 0.6 cups of flour are needed.

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7 0
4 years ago
Please help me!!!! Help me find the dimensions. :(
Gnom [1K]
The volume, surface area and the ratios of the SA to volume will be as follows:
Volume=πr²h
Area=2πr²+πdh
Ratio of SA to volume=Area/volume
π=3.14
Thus using the above formula:

1.
a]
Radius: 3 inches
Height: 2 inches
Volume=πr²h
volume=π×3²×2=56.52 in³

b]
Area=2πr²+πdh
2×π×3²+π×2×3×2
=56.55+37.68
=94.23 in²

c]
Ratio=area/volume
=94.23/56.52
=1.6672


1. 
Radius: 2 inches
Height: 9 inches

a]
V=πr²h
V=3.14*2^2*9
V=113.04 in³

b] 
Area=2πr²+πdh
=2*3.14*2^2+3.14*2*2*9
=25.12+113.04
=138.16 in²

c]
Ratio=area/volume
=138.16/113.04
=11/9

3.
Diameter=4 inches
Height= 9 inches

a]
V=πr²h
V=3.14×2²×9
V=113.04

b]
Area=2πr²+πdh
=2*3.14*2^2+3.14*4*9
=25.12+113.04
=138.16 in²

c]
Ratio=area/volume
=138.16/113.04
=11/9

4]
Diameter: 6 inches
Height: 4 inches

a]
Volume=πr²h
=3.14×3²×4
=113.04 in³

b]
Area=2πr²+πdh
=2×3.14×3²+3.14×6×4
=56.52+75.36
=131.88 in²

c] Ratio
131.88/113.04
=7/6

1. For the surface area to volume to be small it means that the area is smaller than the volume, for surface area to volume  be larger it means that the surface area is larger than the volume. It is more economical for the surface area to volume to be small because it will mean that small amount of materials make cans with large volume. This means cost of production is cheaper.

2. To evaluate this process let's use one of the dimensions:
Radius: 3 inches
Height: 2 inches:

i. add radius and height:
3+2=5 inches
ii. Multiply radius and height:
3×2=6
iii. Dividing the result from step 1 by the result in step 2:
5/6

iv. Multiply the result from step 3 by 2:
5/6×6
=5
This result does not seem to add up to the result in our earlier ratio. Thus we conclude that Khianna was wrong. This method can't work with 3-D figures.


7 0
4 years ago
Two congruent triangles are given.
bezimeni [28]
I think the correct answer would be the 3rd one
4 0
3 years ago
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