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labwork [276]
3 years ago
8

James purchased 2 T-shirts and a pair of jeans online and paid $80 for his purchase. The next week, the same site was offering a

50% discount on all its clothes. James bought 3 T-shirts and two pairs of jeans for $70. What were the original prices of T-shirts and jeans? (Assume that all T-shirts had the same original price, as did all pairs of jeans.)
A.T-shirt, $25; jeans, $30
B.T-shirt, $20; jeans, $30
C.T-shirt, $20; jeans, $40
D.T-shirt, $25; jeans, $35
is it A. B. C. or D.
Mathematics
1 answer:
Maurinko [17]3 years ago
6 0
2t + j = 80
3(0.5)t + 2(0.5)j = 70

j = 80 - 2t
1.5t + j = 70
1.5t + 80 - 2t = 70
-0.5t = 70 - 80
-0.5t = -10
t = -10/-0.5
t = 20

j = 80 - 2t
j = 80 - 2(20)
j = 80 - 40
j = 40

so ur answer is C

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Answer:

c ≈ 6.08 m

Step-by-step explanation:

Your question is how to solve for a missing side length of a triangle when given 2 sides length and an angle. The side length can be solved using the cosine rule . We use cosine rule to find the length of a side of a triangle when given two sides and an included angle.

The cosine rule formula for finding a side length are as follows

c² = a² + b² - 2ab cosC

b² = a² + c² - 2ac cosB

c² = a² + b² - 2ab cosC

Using cosine rule

c² = 4² + 3² - 2 × 4 × 3 cos 120°

c² = 16 + 9 - 24 cos 120°

c² = 25 - 24 (-0.5)

c² = 25 + 12

c² = 37

square root both sides

c = √37

c = 6.0827625303

c ≈ 6.08 m

4 0
3 years ago
Exercise 2.4.2: Proving statements about rational numbers with direct proofs. About Prove each of the following statements using
IgorLugansk [536]

Answer:

See Explanation

Step-by-step explanation:

(a) Proof: Product of two rational numbers

Using direct proofs.

Let the two rational numbers be A and B.

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B = \frac{2}{3}

The product:

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A * B = 1 * \frac{1}{3}

A * B = \frac{1}{3}

Proved, because 1/3 is rational

(b) Proof: Quotient of a rational number and a non-zero rational number

Using direct proofs.

Let the two rational numbers be A and B.

Such that:

A = \frac{1}{2}

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(c) x + y is rational (missing from the question)

Using direct proofs.

Let x and y be

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x = \frac{1}{2}

y = \frac{2}{3}

The sum:

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Take LCM

x + y = \frac{3+4}{6}

x + y = \frac{7}{6}

Proved, because 7/6 is rational

<em>The above proof works for all values of A, B, x and y; as long as they are rational values</em>

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Ok, first we need to organize.
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First, we need to find the median, the or the middle, which is 14.
Now that we know the median is fourteen, we take away all numbers to the left of 14, including 14: 17, 22, 23, 27, 29. Now just find the median in this new set of numbers. This will give us our upper quartile, which is 23. Hope this helped, and don't forget to drop a like.
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Answer:

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Step-by-step explanation:

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