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il63 [147K]
2 years ago
5

If a recipe calls for 12 oz. of chocolate chips for 2 batches, how many ounces of chocolate chips would you need for 1/2 a batch

?
Mathematics
1 answer:
Andru [333]2 years ago
4 0

Answer:

3 oz.

Step-by-step explanation:

how many 1/2 are there in 2?

there are 4.

this means we divide 12 (oz. of choc chips) and 4

when we divide them, we get 3oz.

thats why you need 3oz. chocolate chips for 1/2 of a batch

<em>hope</em><em> </em><em>this</em><em> </em><em>helps</em><em>!</em>

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The sun shines at a 30° angle to the ground. To the nearest inch, how long is the shadow cast by a 72-in. tall fence post?
tensa zangetsu [6.8K]

The length of the shadow is 124.7 in

<u>Explanation:</u>

<u />

Given:

Angle, θ = 30°

Height of the fence,  h = 72 in

Length of the shadow, l = ?

Given:

tan 30° = \frac{perpendicular}{base}  = \frac{height of the fence}{length of the shadow}

\frac{1}{\sqrt{3} } = \frac{72}{l} \\\\l = 72\sqrt{3} \\\\l = 124.7 in

Therefore, the length of the shadow is 124.7 in

5 0
3 years ago
Rhonda has $13. She has one $5 bill, three $1 bills, and one other bill. Is a other bill a $1 bill or a $5 bill explain
morpeh [17]

Answer:

$5 bill

Step-by-step explanation:

If Rhonda has $13 and she has a $5 bill and 3 $1 bills, then she has

5 + 3(1) + x = 13

5 + 3 + x = 13

8 + x = 13

x = 5.

The last bill must be a $5 bill to equal the remaining $5.

8 0
2 years ago
Identify the range of the function shown in the graph.
creativ13 [48]
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5 0
3 years ago
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Assume that the weight loss for the first month of a diet program varies between 6 pounds and 14 pounds, and is spread evenly ov
Llana [10]

Hello!

For this uniform distribution, the shape of the density function is a line. We can begin by identifying key elements of the distribution:

Range: 6 to 14 pounds

Formula of density function:

y = 1/Range

1 - (14 - 6) = 1/8 = 0.125

f(x) = 0.125

1)

P(x = 7)

A uniform distribution is a continuous distribution, so the probability of x being an EXACT value is approximately 0.

<u>This is the same as if we took the following integral. (Finding the area under a curve with the same start and end point)</u>
\int\limits^a_a {f(x)} \, dx  = 0

Therefore, P(x = 7) = 0.

2)
We can think of this as finding the area of a rectangle.

The width would be the difference between 8.25 pounds and 12 pounds:
W = 12 - 8.25 = 3.75

The height would be the function (y = .125), or:
h = .125

Using the equation for the area of a rectangle: (A = h * w)

A = 3.75 * .125 = 0.469

Thus, P(8.25 < x < 12) = 0.469

3)
To find the probability GREATER than 10.50 pounds, we can subtract this value from the max value for the width:
W = 14 - 10.50 = 3.50

The height is the same as above:
h = .125

Solve for the area:
A = 3.50 * .125 = 0.4375

P(x > 10.5) = 0.4375

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2 years ago
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Sum is used for addition so the answer would be: 
D. f+6
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