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2 years ago

Sanjay has 2 1/3 cups of pretzels, Raul has 1 5/6 cups of chocolate pieces, and Sonny has 3 7/9 cups of granola. If they

1 answer:

4 0

Sanjay and craig best friends you know that tv show from cartoon network yeah anyways they can make about 1,000 bags of trail mix

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Find the total cost to the nearest cent. $58 bill; 20% tip

harkovskaia [24]

Answer:

$69.60

Step-by-step explanation:

20% of $58 is $11.60. So you add $11.60 + 58 which equals $69.60, so that is the total cost.

8 0

3 years ago

Read 2 more answers

A figure has been dilated from the origin by a scale factor of

Darya [45]

Answer:

See Explanation

Step-by-step explanation:

The question has missing details. So, I'll solve using a general assumption.

Let one of the coordinates of the figure be

$A = (x,y)$

Let the scale factor be n

When dilated, the new figure is:

$A' = n * A$

$A' = n * (x,y)$

To return the image back to the original figure, the new scale factor mus be a reciprocal of the previous scale factor i.e. $\frac{1}{n}$

So:

$A = A' * \frac{1}{n}$

Substitute n(x,y) for A';

$A = n(x,y) * \frac{1}{n}$

$A = \frac{n(x,y)}{n}$

$A = (x,y)$

Take for instance:

$A = (2,3)$

$n = 2$ -- scale factor

$A' = n * A$

$A' = 2 * (2,3)$

$A' = (4,6)$

To get A from A', using the analysis above

$A = \frac{1}{2} * (4,6)$

$A = (2,3)$

6 0

2 years ago

If f(x)=4x^2+1 and g(x)=x^2-5 find(f+g)(x)

Zepler [3.9K]

Answer:

$\large\boxed{(f+g)(x)=5x^2+6}$

Step-by-step explanation:

$(f+g)(x)=f(x)+g(x)\\\\f(x)=4x^2+1,\ g(x)=x^2-5\\\\\text{Substitute:}\\\\(f+g)(x)=(4x^2+1)+(x^2-5)\\\\=4x^2+1+x^2-5\qquad\text{combine like terms}\\\\=(4x^2+x^2)+(1+5)\\\\=5x^2+6$

6 0

3 years ago

Matthew Casertano and Fox Chyatte make a series of bets. In each bet, Matthew sets the stake (the amount he wins or loses) at ha

Olin [163]

Answer:

219/256 = 0.855

Step-by-step explanation:

He starts with $256.

After the first bet, he either has $128 or $512.

After the second bet, he either has $64, $256, or $1024.

Repeating this pattern, the amount after n bets and r wins is:

A = 256 (½)ⁿ⁻ʳ (2)ʳ

And the number of ways A can be achieved is:

N = nCr

We're given that n = 8.

A = 256 (½)⁸⁻ʳ (2)ʳ

If r = 0, A = 1 and N = 1.

If r = 1, A = 4 and N = 8.

If r = 2, A = 16 and N = 28.

If r > 2, A > 50. The sum of N for all r is 2⁸ = 256.

Of the 256 possible combinations, 1+8+28 = 37 result in less than $50, so 219 result in more than $50.

So the probability is 219/256 = 0.855.

5 0

3 years ago

What is the slope of a line passing through points (-7 , 5) and (5 , -3)

Alex17521 [72]

<h3>Answer: -2/3</h3>

==========================================

Work Shown:

Use the slope formula to get

m = (y2 - y1)/(x2 - x1)

m = (-3 - 5)/(5 - (-7))

m = (-3 - 5)/(5 + 7)

m = (-8)/(12)

m = -2/3

6 0

3 years ago