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Alex
3 years ago
9

A recipe says to use 2 cups of chocolate chips to make 36 cookies. What is the constant of proportionality that relates the numb

er of cookies made, y, to the number of cups of chocolate chips used, x?
Mathematics
1 answer:
xxMikexx [17]3 years ago
7 0
1 cup of chocolate chips equals 18 cookies and 2 cups equals 36 and 3 cups equals 54
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Point G is rotated 90°. The coordinate of the pre-image point G was (7.5), and its image Gʻis at the coordinate (5, 7).
matrenka [14]
<h3>Answer:</h3><h3>The Direction of the rotation is counterclockwise around the origin.</h3>

Step-by-step explanation:

What was Given was that Point G is rotated 90°. The coordinate of the pre-image point G was (7, –5), and its image G’ is at the coordinate (5, 7).

What you need to find was : What is the direction of the rotation.

So coming to conclusions is we have given that Point G is rotated 90°.

The Pre-image of G = ( 7, -5).

Translated image G' = ( 5 ,7).

By the Rotation rule of 90° is : (-y, x) 90 degree rotation counterclockwise around the origin.

(y, -x) 90 degree rotation clockwise about the origin.

We can from G (7,-5) and G'( 5 ,7) it is rotation counterclockwise around the origin.

Therefore, Direction of rotation is counterclockwise around the origin.

<h3></h3>
6 0
3 years ago
The probability that a randomly selected 2 2​-year-old male garter snake garter snake will live to be 3 3 years old is 0.98861 0
Mnenie [13.5K]

Answer:

a. Probability = 0.97735

b. Probability = 0.92294

c. P(At\ Least\ One) = 1

No, it is not unusual if at least 1 lives up to 3.

Step-by-step explanation:

Given

Represent the probability that a 2 year old snake will live to 3 with P(Live);

P(Live) = 0.98861

Solving (a): Probability that two selected will live to 3 years.

Both snakes have a chance of 0.98861 to live up to 3 years.

So, the required probability is:

Probability = P(Live)\ and\ P(Live)

Probability = 0.98861 * 0.98861

Probability = 0.9773497321

Probability = 0.97735 <em>--- Approximated</em>

Solving (b): Probability that seven selected will live to 3 years.

All 7 snakes have a chance of 0.98861 to live up to 3 years.

So, the required probability is:

Probability = P(Live)^n

Where n = 7

Probability = 0.98861^7

Probability = 0.92294324145

Probability = 0.92294 <em>--- Approximated</em>

Solving (c): Probability that at least one of seven selected will not live to 3 years.

In probabilities, the following relationship exist:

P(At\ Least\ One) = 1 - P(None).

So, first we need to calculate the probability that none of the 7 lived up to 3.

If the probability that one lived up to 3 years is 0.98861, then the probability than one do not live up to 3 years is 1 - 0.98861

This gives:

P(Not\ Live) = 0.01139

The probability that none of the 7 lives up to 3 is:

P(None) = P(Not\ Live)^7

P(None) = 0.01139^7

Substitute this value for P(None) in

P(At\ Least\ One) = 1 - P(None).

P(At\ Least\ One) = 1 - 0.01139^7

P(At\ Least\ One) = 0.99999999999997513055642436060443621

P(At\ Least\ One) = 1 ---- Approximated

No, it is not unusual if at least 1 lives up to 3.

This is so because the above results, which is 1 shows that it is very likely for at least one of the seven to live up to 3 years

7 0
3 years ago
A equivalent expression to 9x-7y-6x
daser333 [38]

Answer:

3x - 7y

Step-by-step explanation:

<u>Step 1:  Combine like terms</u>

<u />9x - 7y - 6x

(9x - 6x) - 7y

3x - 7y

Answer:  3x - 7y

8 0
3 years ago
Read 2 more answers
Determine which statement completes each open sentence:
Veronika [31]

Answer:

32 ÷ 8 + 1 __IS NOT EQUAL TO__ 3² - 1

4² __IS NOT EQUAL TO__ 4 • 2

3(x - 4 + x) __IS EQUAL__ 3x - 4 + x

when x = 4

15 ÷ (1 + 2) ___IS NOT EQUAL TO_ 15 ÷ 1 + 2

3(x - 4 + x) __IS NOT EQUAL TO__ 3x - 4 + x

when x = 2

6 0
3 years ago
What is the measure of ∠EGF? __
Ray Of Light [21]

Answer:

∠EGF = 1/2( 180 - 50) = 1/2(130) = 65

∠CGF = 180 - 65 = 115.

Step-by-step explanation:

5 0
3 years ago
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