If altogether they spent a total of $71, and a cap cost $5, then the price of a t-shirt is $8. Option A is correct
From the question, we are told that all caps cost $5 each
Let the cost of each shirt be x:
If Andy bought a t-shirt and a cap for each of his six friends, there will be 6 shirts and 6 caps
If <u>Bob returned two caps and two t-shirts</u>, there will be 4 caps and 4 shirts left
If <u>Carl bought three t-shirts and returned a cap,</u> the number of caps remaining will be 3 caps and the number of shirts remaining will be 7 shirts
If they spent a total of $71, this means;
3(5) + 7x = 71
15 + 7x = 71
7x = 71 - 15
7x = 56
x = 56/7
x = 8
This shows that the price of a t-shirt is $8
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The roots are 1 +√7 and 1 -√7.
<h3>What is Quadratic equation?</h3>
A quadratic equation in the variable x is an equation of the form ax² + bx + c= 0, where a, b, c are real numbers, a≠0
Given equation:
y= x²+2x-6
First,
Half the coefficient of x and add and subtract the square of (b/2)
y= x²+2x-6+(1)²-(1)²
y= x²+2x+(1)² -6 -(1)²
y= (x+1)² -7
Now, equate y=0
(x+1)² -7 =0
(x+1)² = 7
x+1= ±√7
x=1 ±√7
Hence, the roots are 1 +√7 and 1 -√7.
Learn more about quadratic equation here:
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Answer:
x + y = 162 and x = 2y - 6
Step-by-step explanation:
Let the total wins be x
Let the total loss be y
If a baseball team's total wins and losses for one season is 162, this can be expressed as;
x + y = 162 ....... 1
If the number of wins is 6 less than 2 times the number of losses, this is expressed as;
2 times the number of losses = 2y
6 less than 2 times the number of losses = 2y - 6
Now, If the number of wins is 6 less than 2 times the number of losses this is expressed as;
x = 2y - 6 .... 2
Hence the required system of equation are;
x + y = 162 and x = 2y - 6
If you’re saying that 3 pieces costs 2.00 then the answer is 30. 2x10 is the $20.00 so 3x10 = 30 she can buy