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sasho [114]
3 years ago
8

Tye is making some trail mix Based on a recipe that combines 2 cups of nuts with 3 cups of granola. If Tye Has 6 cups of nuts, h

ow many cups of granola should he use?
Mathematics
1 answer:
WINSTONCH [101]3 years ago
4 0

Answer:

9 cups

Step-by-step explanation:

Ratio of cups of nuts to cups of granola = 2:3

This means that total ratio = 2+3 = 5

Proportion of nuts = 2/5

Proportion of granola = 3/5

So, if Tye has 6 cups of nuts, then 6  represent a proportion of 2/5

then 3/5  would represent how many cups? = \frac{3}{5} *6 * \frac{5}{2}\\ \\

The 5 at the top and 5 at the bottom cancel out and you are left with;

=(3*6) /2

=18 /2

= 9 cups

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5.035 rounded to the nearest hundredth
klemol [59]

Answer:

5.04

Step-by-step explanation:

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Which is equivalent to 243 2/5 ? 3 6 9 12
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The diagram shows a 3 cm x 5 cm x 4 cm cuboid
Rainbow [258]

Answer:

a) The length of segment AC is approximately 5.83 centimeters.

b) The angle ACD is approximately 34.5º.

Step-by-step explanation:

a) Since AB \perp BC, the length of segment AC is determined by Pythagorean Theorem, that is:

AC = \sqrt{(5\,cm)^{2}+(3\,cm)^{2}}

AC \approx 5.831\,cm

The length of segment AC is approximately 5.831 centimeters.

b) Since AB \perp BC \perp AD, the length of segment AD is determined by this Pythagorean identity:

AD = \sqrt{(3\,cm)^{2}+(5\,cm)^{2}+(4\,cm)^{2}}

AD \approx 7.071\,cm

The angle ACD is determined by the following trigonometric expression:

\cos C = \frac{AC}{CD}

\cos C = \frac{5.831\,cm}{7.071\,cm}

\cos C = 0.825

C = \cos^{-1} 0.825

C \approx 34.448^{\circ}

The angle ACD is approximately 34.448º.

4 0
3 years ago
Elliott has some yarn that she wants to use to make hats and scarves. Each hat uses 0.2, point, 2 kilograms of yarn and each sca
sp2606 [1]

Answer:

Elliot will make 4 hats and 16 scarves

Step-by-step explanation:

Let x be the number of hats and y be the number of scarves Elliot will make.

Elliott wants to make a total of 20 items, then

x + y = 20

Each hat uses 0.2 kilograms of yarn, so x hats use 0.2x kilograms of yarn and each scarf uses 0.1 kilogram of yarn, then y scarves use 0.1y kilograms of yarn. Elliott wants to use twice as much yarn for scarves as for hats, then

0.1y = 2(0.2x)

Thus,

0.1y = 0.4x

y = 4x

Substitute it into the first equation:

x + 4x = 20

5x = 20

x = 4

y = 20 - 4

y = 16

Hence, Elliot will make 4 hats and 16 scarves

4 0
3 years ago
A colony of bacteria is growing exponentially according to the function below, where t is in hours. About how many hours will it
Ivenika [448]
The function is:
B ( t ) = 4 * e^(0.8 t)
4 * e^(0.8 t) = 400
e^(0.8 t) = 400: 4
e^(0.8 t) = 100   / ln
ln e^(0.8 t) = ln 100  ( and since: ln e = 1 and ln e^x = x * ln e )
0.8 t = 4.6
t = 4.6 : 0.8 = 5.76 ≈ 6
Answer:
D ) 6 hours.
4 0
4 years ago
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