Answer:
shirt = $20
sweater = $35
Step-by-step explanation:
This question would be solved using simultaneous equation
Let the price of sweater be represented by a
Let the price of shirt be represented by b
The following equations can be derived from the question
2a + 4b = 150 equation 1
4a + 3b = 200 equation 2
Multiply equation 1 by 2
4a + 8b = 300 equation 3
Subtract equation 2 from 3
5b = 100
divide both sides of the equation by 5
b = 20
substitute for b in equation 1
2a + 4(20) = 150
2a + 80 = 150
collect like terms
2a = 150 - 80
2a = 70
divide both sides by 2
a = 35
Price of sweater = $35
Price of shirt = $20
Using conversions of mixed numbers, the numbers that are equivalent to 2 and 7/9 are given by:
25/9 and 2.777.
<h3>What are the conversions of the mixed number 2 and 7/9?</h3>
To convert to decimal, we just add the integer part with the fractional part converted to decimal(dividing the numerator by the denominator), hence:
2 and 7/9 = 2 + 7/9 = 2.7777.
To convert to fraction, the procedure is similar, we just apply the least common multiple to add the fraction, as follows:

Hence the numbers that are equivalent to 2 and 7/9 are given by:
25/9 and 2.777.
More can be learned about conversions of mixed numbers at brainly.com/question/21610929
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-36+(-14)+81=81-36-14=45-14=31
"Non nobis, Domine, non nobis, sed Nomini tuo da gloriam."
Regards M.Y.
The answer for the given equation is x = 3.5.
<u>Step-by-step explanation</u>:
Given, 2 / 3 (3x + 6) = 4x + 3
Step 1:
Rearranging the given equation by subtracting the right side of the equation to the left side.
2 / 3 (3x + 6) - 4x + 3 = 0
Step 2:
Taking out the like terms, the equation becomes
(2 / 3)
3 (x + 2) - (4x - 3) = 0
⇒ 2 (x + 2) - (4x - 3) = 0
Step 3:
Solving the equation for the value of x,
⇒ 2x + 4 - 4x + 3 = 0
⇒ -2x + 7 = 0
⇒ -2x = -7
⇒ x = 7 / 2 = 3.5.
Hence the value of x = 3.5.