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lutik1710 [3]
3 years ago
9

A recipe for tropical punch calls for 222 cups of pineapple juice and 333 cups of orange juice. Jo creates a drink by mixing 333

cups of pineapple juice with 444 cups of orange juice. How does Jo's drink compare to the tropical punch recipe?
Mathematics
2 answers:
ycow [4]3 years ago
5 0

Answer:

Here we may have that all the numbers are tripled, so we have that:

the recipe needs:

2 cups of pineapple juice.

3 cups of orange juice.

Then the ratio of pineapple juice to orange juice is 2 to 3, then out of 5 total cups, 2/5 = 0.4 of the drink is pineapple, and 3/5 = 0.6 is orange.

Jo creates a drink that uses 3 cups of pineapple juice and 4 cups of orange juice.

In Jo drink we have that the ratio is 3 to 4, this means that the ratios are different, out of 7 total cups we have that 3/7 = 0.43 is pineapple and 4/7 = 0.57 is orange.

So in Jo's drink, the proportion of orange is smaller and the proportion of pineapple is bigger.

Irina18 [472]3 years ago
4 0

Answer:

Theres more orange juice than pineapple juice.

Step-by-step explanation:

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3 years ago
The first element in an arithmetic sequence is 2. Its twenty second is 14. Find the value of n so that a(n)=6
Aleks04 [339]

Answer:

<h2>n = 8</h2>

Step-by-step explanation:

Given the nth term of an arithmetic sequence to be Tn = a+(n-1)d

a = first term of the sequence

n = number of terms

d = common difference.

Given the first element a = 2 and 22nd to be 14

T22 = a+(22-1)d = 14

a+21d = 14

Substtuting a = 2 into the equation to get d

2+21d = 14

21d = 12

d = 12/21

d = 4/7

The nth term of the sequence given a = 2 and d = 4/7 will be expressed as;

Tn = 2+(n-1)4/7

Given Tn = 6

6 = 2+(n-1)4/7

6 = 2+4/7 n - 4/7

6-2+4/7 = 4/7 n

32/7=4/7 n

32 = 4n

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n = 8

8 0
3 years ago
-4(x - 2) - 3x = 2(5x - 7) + 6
Allisa [31]

Answer: last option.

Step-by-step explanation:

To apply the Distributive property, remember that:

c(a-b)=ca-cb

Then, applying this, you get:

-4(x - 2) - 3x = 2(5x - 7) + 6\\\\(-4)(x)+(-4)(-2)-3x=(2)(5x)+(2)(-7)+6\\\\-4x+8-3x=10x-14+6

Combine like terms means that you need to add the like terms.

Therefore, you get:

-7x+8=10x-8

You can observe that the expression obtained matches with the expression provided in the last option.

3 0
3 years ago
At what points will Al be producing the most equal amounts of sandwiches and salads?
Neporo4naja [7]

Answer: D, Y, X

<u>Step-by-step explanation:</u>

The (salad, sandwich) coordinates are as follows:

A: (0, 10)

B: (1, 8)

C: (2, 6)

D: (3, 4)    MOST EQUAL AMOUNTS

E: (4, 2)

F: (5, 0)

X: (4, 8)    OUTSIDE OF THE PRODUCTION LINE

Y: (1, 3)     UNDER THE PRODUCTION LINE



8 0
3 years ago
Read 2 more answers
F(x)=-2(x-3)(x+5) convert quadratic functions to standard form​
jasenka [17]

Answer:

The answer is: f(x) = -2x^2 - 4x + 30

Step-by-step explanation:

Given:

f(x)=-2(x-3)(x+5)

Solve (x-3)(x+5) first, then multiply by -2:

f(x) = -2[(x - 3)(x + 5)]

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f(x) = -2[x^2 + 2x - 15]

f(x) = -2x^2 - 4x + 30

Hope this Helps!! Have an Awesome Day!! (-:

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