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pshichka [43]
3 years ago
7

Allie bought a 5 pound bag of trail mix. she gave 12 Oz of trail mix to Justin. then she put the rest of the trail mix to into s

mall bags to use for snacks. if each bag contained 4 Oz of trail mix, how many small bags of trail mix did Allie make?
Mathematics
2 answers:
nadya68 [22]3 years ago
7 0
5 lbs. = 80 oz.

80 - 12 = 68 oz.

68 / 4 = 17 bags

Hope this helps!
disa [49]3 years ago
4 0
Hey there, 5Ibs=80 oz, I got that because 16*5=80, 80-12=68. So, 68÷4=17. Thus, your final answer is 17.
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7 0
3 years ago
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A vector is in standard position, with its terminal point in the second quadrant and an x-coordinate of –5. The vector has a mag
joja [24]

a.

The y-coordinate of the vector with its terminal point in the second quadrant is 6.

The magnitude of the vector, r = √(x² + y²) where x = x-coorcinate of vector = -5 and y = y-coordinate of vector.

Since r = √61 and r = √(x² + y²)

Making y subject of the formula, we have

y = √(r² - x²)  

Substituting the values of the variables into the equation, we have

y = √((√61)² - (-5)²)  

y = √(61 - 25)  

y = ±√36

y = ±6

Since r is in the second quadrant, its y-coordinate is positive.

So, y = 6

So, the y-coordinate of the vector with its terminal point in the second quadrant is 6.

b.

The direction angle of the vector with its terminal point in the second quadrant is 130°

The direction angle of the vector is gotten from tanФ = y/x

Subsstituting x and y into the equation, we have

tanФ = y/x

tanФ = 6/-5

tanФ = -1.2

tan(180° - Ф) = 1.2

Taking inverse tan of both sides, we have

180° - Ф = tan⁻¹(1.2)

180° - Ф = 50.2°

Ф = 180° - 50.2°

Ф = 129.8°

Ф ≅ 130° to the neares whole number

The direction angle of the vector with its terminal point in the second quadrant is 130°.

Learn more about vectors here:

brainly.com/question/18478651

3 0
2 years ago
3, 10, 17, 24. what is the 50th term in the sequence
Kamila [148]
Check if you can write an equation relating the term number to the actual value
n1=3
n2=10 = 3+7
n3= 17 = n2+7 = n1+7+7 = n1 +2*7
n4= 24 = n1+3*7

so you will notice a pattern
for the x-th term

n_x =3+(x-1)*7

the 50th term would be n_50 = 3+(50-1) * 7
4 0
3 years ago
A punch recipe requires 4 L of orange juice and 3 L of pineapple juice. Sylvia wants to tripple the recipe. What is the total am
kirill [66]

Answer:

Sylvia needs 12 l of orange juice and 9 l of pineapple juice.

Step-by-step explanation:

triple means multiplying by 3

so multiply 4 l of orange juice by 3 and 3 l of pineapple juice by 3

3 0
3 years ago
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1-m
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