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3 years ago

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A fruit salad recipe requires 4 cups of grapes per 8 servings. How many cups of grapes are required for 28 servings? A) 6 Cups B

) 10 Cups C) 11 Cups D) 14 Cups

1 answer:

Dafna1 [17]3 years ago

4 0

Answer:

D) 14 Cups

Step-by-step explanation:

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Y is directly proportional to x<br> when y=30, x=6

daser333 [38]

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$y = 5x$

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3 years ago

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Suppose h(x)=3x-2 and j(x) = ax +b. Find a relationship between a and b such that h(j(x)) = j(h(x))

sergejj [24]

Answer:

$\displaystyle a = \frac{1}{3} \text{ and } b = \frac{2}{3}$

Step-by-step explanation:

We can use the definition of inverse functions. Recall that if two functions, <em>f</em> and <em>g</em> are inverses, then:

$\displaystyle f(g(x)) = g(f(x)) = x$

So, we can let <em>j</em> be the inverse function of <em>h</em>.

Function <em>h</em> is given by:

$\displaystyle h(x) = y = 3x-2$

Find its inverse. Flip variables:

$x = 3y - 2$

Solve for <em>y. </em>Add:

$\displaystyle x + 2 = 3y$

Hence:

$\displaystyle h^{-1}(x) = j(x) = \frac{x+2}{3} = \frac{1}{3} x + \frac{2}{3}$

Therefore, <em>a</em> = 1/3 and <em>b</em> = 2/3.

We can verify our solution:

$\displaystyle \begin{aligned} h(j(x)) &= h\left( \frac{1}{3} x + \frac{2}{3}\right) \\ \\ &= 3\left(\frac{1}{3}x + \frac{2}{3}\right) -2 \\ \\ &= (x + 2) -2 \\ \\ &= x \end{aligned}$

And:

$\displaystyle \begin{aligned} j(h(x)) &= j\left(3x-2\right) \\ \\ &= \frac{1}{3}\left( 3x-2\right)+\frac{2}{3} \\ \\ &=\left( x- \frac{2}{3}\right) + \frac{2}{3} \\ \\ &= x \stackrel{\checkmark}{=} x\end{aligned}$

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2 years ago

What is the product? One-eighth times three-elevenths 3 over 88 1 over 22 4 over 19 35 over 88

kipiarov [429]

Answer:

$\frac{3}{88}$

Step-by-step explanation:

Given

One-eighth times three-elevenths

Required

Solve

One-eighth means 1/8

Three-elevenths means 3/11

So, mathematically; the above expression is represented as thus:

$\frac{1}{8} * \frac{3}{11}$

To solve this, we simply multiply the numerator and the denominator together.

After multiplying these together, the next is to check if the resulting can be simplified

If yes,we simplify it and if otherwise, we live it like that.

So,

$\frac{1}{8} * \frac{3}{11}$

$=\frac{1 * 3}{8 * 11}$

$= \frac{3}{88}$

At this point, the fraction can't be simplified any further.

Hence,

$\frac{1}{8} * \frac{3}{11} = \frac{3}{88}$

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3 years ago

NEED HELP ASAP!!!!!!

melamori03 [73]

Okay so you can add up all the marbles to find a rate and divide.
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Blue: 25% chance
Red: 40% chance
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8 0

3 years ago

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Translate the description as an algebraic expression:<br>the square of the ratio of 11 and k

damaskus [11]

Answer:

The given description is equivalent to the algebraic expression,

$(\frac {11}{k})^{2}$

Step-by-step explanation:

The given description is ,

'The square of the ratio of 11 and k'

which is equivalent to the algebraic expression,

$(\frac {11}{k})^{2}$

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3 years ago