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KIM [24]
3 years ago
14

Francine uses 2/3 cup of pineapple juice for every 1/3 cup of orange juice to make a smoothie. Enter the number of cups of pinea

pple juice Francine uses for 1 cup of orange juice.
Mathematics
1 answer:
Oksanka [162]3 years ago
7 0
\bf \begin{array}{ccllll}
pineapple&orange\\
\textendash\textendash\textendash\textendash\textendash\textendash&\textendash\textendash\textendash\textendash\textendash\textendash\\
\frac{2}{3}&\frac{1}{3}\\\\
x&1
\end{array}\implies \cfrac{\frac{2}{3}}{x}=\cfrac{\frac{1}{3}}{1}\implies \cfrac{\frac{2}{3}}{\frac{x}{1}}=\cfrac{\frac{1}{3}}{\frac{1}{1}}\\\\
-----------------------------\\\\

\bf \textit{now recall that }\qquad \cfrac{\frac{a}{b}}{\frac{c}{{{ d}}}}\implies \cfrac{a}{b}\cdot \cfrac{{{ d}}}{c}\\\\
-----------------------------\\\\
\cfrac{2}{3}\cdot \cfrac{1}{x}=\cfrac{1}{3}\cdot \cfrac{1}{1}\implies \cfrac{2}{3x}=\cfrac{1}{3}\implies 2\cdot 3=1\cdot 3x\implies 6=3x
\\\\\\
\cfrac{6}{3}=x

and surely, you know how much that is
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Help I need the answer dont send NO FILE only answer if you know it step by step explanation
Vika [28.1K]

Step-by-step explanation:

B (-8,-6)

C (-10, -6)

D (-10,2)

E (-8,2)

5 0
3 years ago
What is the value of x in the following equation? 5x - 6(x + 1) + 8 = 0 A. 14 B. 16 C. 1 D. 2
Serga [27]

Answer:

x=2

Step-by-step explanation:

5x - 6(x + 1) + 8 = 0

Distribute

5x -6x-6+8 =0

Combine like terms

-x+2 = 0

Add x to each side

-x+2+x = 0+x

2 =x

8 0
3 years ago
Which transformations to the graph of j(x) would result in the graph of j(4x) – 27?
Grace [21]

Answer:

Option D.

Step-by-step explanation:

It is given that, graph of j(x) transformed in the graph of j(4x) – 27.

We need to find the transformations.

Consider the new function is

f(x)=j(4x)-27          ... (1)

The translation is defined as

f(x)=j(kx+a)+b                ... (2)

Where, k is stretch factor, a is horizontal shift and b is vertical shift.

If 0<k<1, then the graph stretched horizontally by factor of 1/k and if k>1, then the graph compressed horizontally by factor of 1/k.

If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.

If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.

On comparing (1) and (2), we get

k=4>1, the graph j(x) compressed horizontally by factor of 1/4.

a=0, so there is no horizontal shift.

b=-27<0, so the graph of j(x) shifts 27 units down.

So, the required transformations are horizontal compression by a factor of 1/4, and a translation 27 units down.

Therefore, the correct option is D.

6 0
2 years ago
What would my final balance be if I put $650 in the bank for 60 months with an interest rate of 6%?
Helen [10]
It depends on the terms of the account.

If interest is compounded annually, 650*1.06^5 ≈ 869.85 . . . . dollars.
If interest is compounded quarterly, 650*1.015^20 ≈ 875.46 . . dollars.
If interest is compounded monthly, 650*1.005^60 ≈ 876.75 . . .dollars.
5 0
3 years ago
Layla wrote a report on insects. She listed the lengths of a tiger beetles, carpenter ants, and aphids. The lengths were 1/2 inc
ahrayia [7]
First we would change the fractions into decimals and compare them. That way it would be easy to solve when needed.

1/2=0.50
5/8=0.625
1/8=0.125
   
Now we can see that 1/8 (0.125) is the smallest, followed by 1/2 (0.50), and 5/8 the largest. Now we can match the sizes with the insects.

Since the tiger beetle is the largest we will place that with the length of 5/8 since that is the largest.

The carpenter ant is second largest so it would be matched with 1/2

The aphid is the smallest so that would be with 1/8 as the smallest

*Hope that helped :D*
3 0
2 years ago
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