Answer: 76 roses were sold.
Step-by-step explanation:
Let x represent the number of tulips that the math club sold.
Let y represent the number of roses that the math club sold.
The number of roses sold was 8 more than 4 times the number of tulips sold. This means that
y = 4x + 8
Tulips were sold for $2 each and roses for $5 each. The club made $414.00. This means that
2x + 5y = 414- - - - - - - - - 1
Substituting y = 4x + 8 into equation 1, it becomes
2x + 5(4x + 8) = 414
2x + 20x + 40 = 414
22x = 414 - 40
22x = 374
x = 374/22
x = 17
y = 4x + 8 = 4 × 17 + 8
y = 76
The answer:
10.6
hope this helped (:
Answer:
26
Step-by-step explanation:
Let x be the first even integer
x+2 is the second even integer
x+4 is the third even integer
The sum of three consecutive even integers is 84
x+ (x+2) + (x+4) =84
Combine like terms
3x +6 = 84
Subtract 6 from each side
3x+6-6 =84-6
3x =78
Divide each side by 3
3x/3 = 78/3
x =26
The three integers are 26, 28,30
The smallest is 26
x = 4
x = -1
x = 0
Equation at the end of step 1 :
((3 • (x3)) - 32x2) - 12x = 0
Step 2 :
Equation at the end of step 2 :
(3x3 - 32x2) - 12x = 0
Step 3 :
Step 4 :
Pulling out like terms :
4.1 Pull out like factors :
3x3 - 9x2 - 12x = 3x • (x2 - 3x - 4)
Trying to factor by splitting the middle term
4.2 Factoring x2 - 3x - 4
The first term is, x2 its coefficient is 1 .
The middle term is, -3x its coefficient is -3 .
The last term, "the constant", is -4
Step-1 : Multiply the coefficient of the first term by the constant 1 • -4 = -4
Step-2 : Find two factors of -4 whose sum equals the coefficient of the middle term, which is -3 .
-4 + 1 = -3 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -4 and 1
x2 - 4x + 1x - 4
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (x-4)
Add up the last 2 terms, pulling out common factors :
1 • (x-4)
Step-5 : Add up the four terms of step 4 :
(x+1) • (x-4)
Which is the desired factorization
The answer is 20%.
Step 1: Subtract the measured distance and the actual distance to calculate the error.
Step 2: Divide the given value by the actual distance and convert it into the percentage.
the actual distance is 612 ft
the measured distance is 735 ft
Step 1: 735 ft - 612 ft = 123 ft
Step 2: 123 ft / 612 ft = 0.20 = 20/100 = 20%
