Answer:
2c + 3l ≤ 60
No
Step-by-step explanation:
Let's say you buy c yards of cotton lace and l yards of linen lace. The cotton lace will cost $2 per yard, and for c yards, you have to pay $2 c times, coming to a total of 2*c for the cotton lace. For the linen lace, you'd have to pay 3*l for l yards. The total amount of lace is thus equal to cotton lace cost + linen lace cost = 2c + 3l.
Total amount needs to be less than or equal to 60 (at most 60), so total amount = 2c + 3l ≤ 60
We can then plug our values of cotton and linen lace into our equation
12 yards of cotton lace, 15 yards of linen lace
2c + 3l ≤ 60
2(12) + 3(15) ≤ 60
24 + 45 ≤ 60
69 ≤ 60
This is false, so you cannot buy these amounts of lace.
All of the answers you put are correct. good job!
Answer:
x = -2
y = 10
Step-by-step explanation:
Since they already gave y as -3x +4, you will then have to substitute that amount into the formula
9x + 5y = 32
By doing that you get
9x +5(-3x+4) = 32
9x -15x +20 = 32
Then, you ill take 20 to the other side to subtract 32, which will get you
-6x = 12
Then, you will get x = -2
Then substitute that for the equation
y = -3x + 4
You will get
y = -3(-2) + 4,
You will get y as 10
SO then your final answer is x = -2, y = 10
Not sure what you’re trying to find but here’s the simplified version:
-4<=2t+5<11
-9<=2t<6
-9/2<=t<3
Answer:
y = 110°
Step-by-step explanation:
The inscribed angle CHF is half the measure of its intercepted arc CDF
The 3 arcs in the circle = 360°, thus
arc CDF = 360° - 160° - 60° = 140°, so
∠ CHF = 0.5 × 140° = 70°
∠ CHF and ∠ y are adjacent angles and supplementary, thus
y = 180° - 70° = 110°
