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4 years ago

When evaluating proportions, we write the ratios in fractional form and then we

1 answer:

7 0

Answer: set the cross product equal.

Explanation.

A proportion is the equality of two ratios.

For example:

1        6
--- = ------
3       18

You may use the proportions to find the value of an unknown quanity

For example

1        x
--- = ----
3       24

So, if you want to solve for the unknown, the next step isto set the cross product equal:

1*24 = 3*x

=> 24 = 3x

From which you can obtain: x = 24 / 3 = 8

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William has 24 24 cans of fruit and 60 60 cans of vegetables that he will be putting into bags for a food drive. He wants each b

Snezhnost [94]

Answer:

William will make 12 bags of food and each of the bag will contains 2 cans of fruit and 5 cans of vegetables.

Step-by-step explanation:

Given:

Number of fruits cans = 24

Number of veggies cans = 60

William will have to distribute them in equal bags with equal cans of fruits and vegetables respectively.

For this:

We have to find the GCF (greatest common factor) of 24 and 60.

GCF by listing out the factors method.

Factors of 24 : $1,2,3,4,6,8,12,24$

Factors of 60 : $1,2,3,4,5,6,10,12,15,20,30,60$

So,

The greatest common factor of $24$ and $60$ is $12$ .

The number of bags William will used for equal distribution = $12$

Now,

We have to distribute the veggies and fruits in equal number of cans to these $12$ bags.

Number of fruits cans used in each bag = $\frac{24}{12} = 2$

Number of vegetables can used in each bag = $\frac{60}{12} =5$

We can say that:

William will make 12 bags of food and each of the bag will contains 2 cans of fruit and 5 cans of vegetables.

4 0

3 years ago

Please could anyone help me to solving this division problem 5/8 divided 2

skad [1K]

<span>5/8 divided 2

(5/8) / 2 = 5/8 * 1/2 = 5/16
Hope it helps</span>

7 0

3 years ago

Read 2 more answers

Which pair of statements about the lengths of two sides of the triangle is true?

inysia [295]

Answer:

well i think the answer is B.

5 0

3 years ago

What is the x-intercept of the graph 4x-6y=12

kap26 [50]

Answer

x=3 or (3,0) and if you need it y=-2x+3

Step-by-step explanation:

I'm not very good at explaining things, sorry

4 0

3 years ago

PLEASE HELP!! WILL GIVE Points Using the known angle, what side is known? What side is unknown? Use opposite, adjacent, or hypot

ruslelena [56]

known side: opposite (150m)

unknown sides: adjacent and hypotenuse

using Tan to find the distance from the tower's base to the key.

why do we use Tan to find the distance?

the tower creates an angle of 72 degrees with the ground, which will be called α, and it is 150m high from the ground which is opposite ∠α. (shown in picture). we can see that the distance from the base of the tower to the key is the adjacent of the ∠α.

Tan α = opposite / adjacent

=> Tan 72° = 150 / x

=> x = 150 / Tan 72°

=> x = 48.73795443 m = ~48.7m

known side: opposite (150m)

unknown sides: adjacent and hypotenuse

using Sin to find the distance that the ant travelled.

why do we use Sinn to find the distance?

the tower creates an angle of 72 degrees with the ground, which will be called α, and it is 150m high from the ground which is opposite ∠α. (shown in picture). the ant travelled along the tower's body, which is the hypotenuse of the triangle, from the top until reaching the ground.

Sin α = opposite / hypotenuse

=> Sin 72° = 150 / x

=> x = 150 / Sin 72°

=> x = 157.7193336 m = ~157.7m

(using unrounded numbers to calculate because there is a small difference in results if using the rounded numbers)

c^2 = a^2 + b^2 (pythago)

157.7^2 = 150^2 + 48.7^2

24875.3882 = 24875.3882 (correct)

7 0

3 years ago