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Karo-lina-s [1.5K]
3 years ago
5

a recipe recalls for Papaya juice and carrot juice. the equation represents the proportional relationship between the number of

quarts of Papaya juice (p) and carrot juice (c) in the recipe. what is the number of quarts of papaya juice used for one quart of carrot juice also need help on 2,3,and 5

Mathematics
1 answer:
Temka [501]3 years ago
5 0
Google says. ..

Solving proportions is simply a matter of stating the ratios as fractions, setting the two fractions equal to each other, cross-multiplying, and solving the resulting equation. You'll probably start out by just solving proportions, like this: Find the unknown value in the proportion: 2 : x = 3 : 9.

Now let's do it

2. 2 is not shown in the picture

3. 2 1/2 sugar/7 1/2 flour = x sugar/1 flour

cross multiply: 2 1/2/7 1/2 = x/1
7 1/2x = 1(2 1/2) ... 15/2x = 5/2 ... x=5/2×2/15= 1/3
answer: 1/3 cup sugar = 1 cup flour ... 1/3s:1f

5. 1 1/3p/3 1/3c = ₩p/1c

cross multiply: (1 1/3)/(3 1/3) = ₩/1
3 1/3₩= 1(1 1/3) ... 10/3₩=4/3 ... ₩=4/3×3/10
₩=4/10=2/5 qt papaya
2/5 qt papaya = 1 qt carrot ... 2/5p:1c
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lana66690 [7]

Given the height of the tree and the angle of elevation from point B, the distance between the tree is from point B is approximately 70ft.

<h3>What is the distance between the tree and point B?</h3>

Given the data in the question;

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  • Angle of elevation θ = 26°
  • Distance between tree and point B| Adjacent = ?

Since the scenario form a right angle triangle, we use trig ratio.

tanθ = Opposite / Adjacent

tan( 26° ) = 34ft / x

We solve for x
x = 34ft / tan( 26° )

x = 34ft / 0.4877

x = 70ft

Given the height of the tree and the angle of elevation from point B, the distance between the tree is from point B is approximately 70ft.

Learn more about trigonometric ratio here: brainly.com/question/28038732

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3 0
1 year ago
the cost of 5 oranges and 3 apples is 43 rupees and the cost of 2 oranges and 4 apples is 34 rupees. find the cost of an orange
liraira [26]

Answer: Orange = 5 rupee

Apple = 6 rupees

Step-by-step explanation:

Let the cost of an orange be x

Let the cost of an apple be y

We can form an equation from the question given which will be:

5x + 3y = 43 ......... i

2x + 4y = 34 ......... ii

Multiply equation i by 2

Multiply equation ii by 5

10x + 6y = 86 ........ iii

10x + 20y = 170 ..... iv

Subtract iii from iv

14y = 84

y = 84/14

y = 6

An apple cost 6 rupees

Since from equation ii

2x + 4y = 34

2x + 4(6) = 34

2x + 24 = 34

2x = 34 - 24

2x = 10

x = 10/2

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5 0
2 years ago
Look at the image HELP
Whitepunk [10]

Answer:

Option (3)

Step-by-step explanation:

In a right triangle,

Cosine rule → cos(\theta)=\frac{\text{Adjacent side}}{\text{Hypotenuse}}

Sine rule → sin(\theta)=\frac{\text{Opposite side}}{\text{Hypotenuse}}

In the given triangle,

By cosine rule,

cos(h)=\frac{\text{Adjacent side}}{\text{Hypotenuse}}

cos(h)=\frac{z}{x}

Or cos(h°) = z ÷ x

Therefore, Option (3) will be the answer.

7 0
3 years ago
There are 364 students who are enrolled in an introductory biology course. If there are five boys to every eight girls, how many
Butoxors [25]

Answer:

The number of boys in the course will be = 140

Step-by-step explanation:

Given:

Total number of students enrolled in an introductory biology course = 364

There are 5 boys to every 8 girls in the course.

To find how many boys are in the course.

Solution:

Since, there are 5 boys to every 8 girls in the course.

So, ratio of boys to girls enrolled in the course = 5 : 8

Let the number of boys in the course be = 5x

Then number of girls in the course will be =  8x

Total number of students would be given as:

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Total number of students given = 364.

Thus, we have:

13x=364

solving for x

Dividing both sides by 13.

\frac{13x}{13}=\frac{364}{13}

∴ x=28

So, number of boys in the course will be = 5\times 28 = 140

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Answer:

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Step-by-step explanation:

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