Answer:
The weights of each cylinder and prism are 3 and 4 ounces, respectively.
Step-by-step explanation:
Let be 
and 
the masses of a cylinder and a prism, measured in ounces, respectively. After a careful reading of the statement we get the following linear equations by interpretation:
i) <em>She found that 4 cylinders and 5 prisms weigh 32 ounces:</em>
(Eq. 1)
ii) <em>And that 1 cylinder and 8 prisms weigh 35 ounces:</em>
(Eq. 2)
Now we solve the system of linear equations algebraically:
From (Eq. 2):
(Eq. 2) is (Eq. 1):
From (Eq. 2):
The weights of each cylinder and prism are 3 and 4 ounces, respectively.
Answer:
Let the retail cost be x and the wholesale cost be y
Step-by-step explanation:
x = y + 0.50y
x = 1.50y
Therefore the retail cost is 1.50 times the wholesale cost.
Answer:
The answer is a. both open upward; h is wider than f
If the wall with 4 ft. of storage area can fit 6 sections of plant and the wall with 7 ft. Can fit 5, that means each section is 3 ft. because 7-4=3, so that extra section on the wall with 4 ft. You do this because there is one extra section on the wall with four. Knowing this, the wall with 7 ft. Would be the 7 ft. + 5 sections of 3 ft. So 7+(5x3) = 22. On the wall with 4 ft., do the same,
4+(6x3) =22. Since they are equal and the walls are supposed to be equal, we can confirm this is the right answer
Answer:
Step-by-step explanation:
first we need to find the slope using the slope formula :
slope = (y2 - y1) / (x2 - x1)
(-9,7)...x1 = -9 and y1 = 7
(-6,-3)....x2 = -6 and y2 = -3
now we sub
slope = (-3 - 7) / (-6 - (-9) = -10 / (-6 + 9) = -10 / 3
so our slope is -10/3
now we use y = mx + b....with m representing the slope
slope(m) = -10/3
use either of ur points....I will use (-9,7)...x = -9 and y = 7
we are solving for b, the y intercept
now we sub
7 = -10/3(-9) + b
7 = 30 + b
7 - 30 = b
- 23 = b
so ur equation is : y = -10/3x - 23
