Answer:
x = 6 cm
Step-by-step explanation:
We can write equations for length and width using the information given:
length = 2 + x
width = 2x - 5
Area = (length)(width) = 56
Area = (2 + x)(2x - 5) = 4x - 10 + 2x² - 5x
Simplifying:
Area = 2x² - x - 10 = 56
2x² - x - 66 = 0
Factoring:
(2x + 11)(x - 6) = 0
x = 6, -11/2
We choose the positive number: x = 6 cm
To check, plug in 6 for x:
Area = (2 + x)(2x - 5) = 56
(2 + 6)(12 - 5) = 56
(8 × 7) = 56
56 = 56
Answer:
1. Each pencil cost .90 cents each. So if they want to make a profit of 75 cents each they will get $9 for a dozen pencils. They must charge 75 cents.
2. Several means 4 but in this case, it means 36. When you divide 252 by 7 you get 36. Because each case is $7 and the total is 252.
3. The percent markup for each jersey was around 65%. They almost doubled the price by 6.50. They would make $3543.75 if they sold all the jerseys at the homecoming game.
4. The truck took 12 hours to reach its destination.
5. She would be repaying $ 1,152.00 in one year.
I hope this helps. I did not do 6 and 7 because I hope these help you figure those out. : )
2(x-6y+4z=2)
2x+4y-8z=16
2x-12y+8z=4
2x+4y-8z=16
4x-8y=20
x-2y=5
4x-8y=20
-4x+8y=-20
infinite many solutions
Answer:
9.99493
Step-by-step explanation:
You divide the circumference by pi to get the diameter. Then if you want the radius, you just simply cut the diameter in half!
X = larger number and y = smaller number
x + y = 153....x = 153 - y
x - 4y = 18
153 - y - 4y = 18
153 - 5y = 18
-5y = 18 - 153
-5y = -135
y = -135/-5
y = 27 <=== smaller number
x - 4y = 18
x - 4(27) = 18
x - 108 = 18
x = 18 + 108
x = 126 <== larger number
