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Nuetrik [128]
2 years ago
9

You use a juice mix to make orange juice. You combine 12 ounces of the mix with 36

Mathematics
2 answers:
almond37 [142]2 years ago
8 0
12 and 36 both can be divided by 12 which is 1 and 3 
So the ratio is 1:3

Vlad1618 [11]2 years ago
6 0

Answer:

3 : 1 is the unit rate.

OR

1 : \frac{1}{3}

Step-by-step explanation:

We have to prepare a mix of orange juice and water.

12 ounces of juice is mixed with 36 ounces of water.

So the ratio that defines the mixture of water and orange juice as 36 : 12

This ratio when simplified will give a ratio of 3 : 1

Therefore, the unit rate is 3 : 1 that defines the mixture of 3 ounce of water with 1 ounce of orange juice.

Similarly, other unit rate that defines the mix will be 12 : 36

= \frac{12}{36}:\frac{36}{36}

= \frac{1}{3}:1

The unit rate \frac{1}{3}:1 defines the mixture of 1 ounce of water with \frac{1}{3} ounce of juice.

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5. The dimensions, in inches, of a shipping box at We Ship 4 You can be expressed as width x, length x + 5, and height 3x - 1. T
meriva
The volume of a cuboid is given by length × width × height

We have:

Volume = 7.6 ft³
Height = 3x - 1
Length = x + 5
Width = x

Substituting these into the formula, we have:

7.6 = (3x - 1) (x + 5) (x)
7.6 = [3x² + 15x - x - 5] (x)
7.6 = [3x² + 14x - 5](x)
7.6 = 3x³ + 14x² - 5x
0 = 3x³ + 14x² - 5x - 7.6

Drawing the graph is one way of finding the solution (refer to the graph below):

We have three solutions (where the curve crosses the x-axis):
x = -4.9
x = -0.6
x = 0.8

Putting these solutions back into the context, since we are looking for the value of x which is part of measurement of length, we cannot have negative value, so we will take the value of x = 0.8 ft

Converting  0.8 ft into inches = 0.8 × 12 inches = 9.6 inches

Answer: x = 9.6 inches

7 0
2 years ago
Someone help me please
Salsk061 [2.6K]

Important notes:

3 sides 1 angle - COSINE RULE

2 sides 2 angle - SINE RULE

since, the question wants to find the length of BC. In the end we will have 3 sides and 1 angle and use cosine rule

formula of cosine rule:

a² = b² + c² - 2bc Cos A° (to find the length)

Cos A° = b² + c² - a² / 2bc ( to find the angle, if there is given three sides and have to find the angle)

So just substitute,

a² = 13² + 15² - 2(13)(15) Cos 95°

a = 20.6 or 21

5 0
2 years ago
3 + 11 . (8 - 4) ÷ (5 + 6) - 4
Irina-Kira [14]

Answer:

3

Step-by-step explanation:

3 + 11 ⋅ ( 8 − 4 ) ÷ ( 5 + 6 ) − 4

 Subtract  4  from  8 .

3 + 11 ⋅ 4 ÷ ( 5 + 6 ) − 4

Multiply  11  by  4 .

3 + 44 ÷ ( 5 + 6 ) − 4

Find the common denominator.  

Add  5  and  6 .

3 + 44 ÷ 11 − 4

Write  3  as a fraction with denominator  1 .

3/ 1 + 44 ÷ 11 − 4

Multiply  3/ 1  by  11/ 11 .

3/ 1 ⋅ 11 /11 + 44 ÷ 11 − 4

Multiply  3/ 1  and  11 /11 .

3 ⋅ 11 /11 + 44 ÷ 11 − 4

Write  − 4  as a fraction with denominator  1 .

3 ⋅ 11 /11 + 44 ÷ 11 +  − 4 /1

Multiply  − 4 /1  by  11 /11 .

3 ⋅ 11 /11 + 44 ÷ 11 + − 4 /1  ⋅ 11 /11

Multiply  

− 4 /1  and  11 /11 .

3 ⋅ 11 /11 + 44 ÷ 11 +   − 4 ⋅ 11 /11

Combine the numerators over the common denominator.

3 ⋅ 11 + 44 − 4 ⋅ 11 /11

Simplify each term.  

Multiply  3  by  11 .

33 + 44 − 44 ⋅ 11/ 11

Multiply  − 4  by  11 .

33 + 44 − 44 /11

Simplify the expression.  

Add  33  and  44 .

77 − 44/ 11

Subtract  44  from  77 .

33 /11

Divide  33 by  11 .

3

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