<span>M/9+2/3=7/3
</span><span>M/9 =7/3 - 2/3
M/9 = 5/3
M = 5/3 x 9
M = 15</span>
Answer:
The maximum height is reached after 3.75 seconds.
Step-by-step explanation:
Assuming the deceleration due to gravity is unaided by air resistance, gravity causes the ball to lose vertical speed at the rate of 32 ft/s every second. The initial vertical speed of 120 ft/s will decline to zero when t satisfies ...
... 120 ft/s - (32 ft/s²)t = 0
... (120 ft/s)/(32 ft/s²) = t = 3.75 s
The ball will not go any higher after its vertical speed is zero.
For the entirety of this problem, p will represent a pair of pants and b will represent a bracelet.
Step 1) Set up equations for Destiny and Guadalupe
Destiny: 178 = 2p + 6b
Guadalupe: 155 = 3p + 2b
I will be using substitution to solve this problem, but elimination can also be used.
Step 2) Solve Destiny's equation for p
178 = 2p + 6b
178 - 6b = 2p
89 - 3b = p
Step 3) Substitute the found value of p from Destiny's equation into Guadalupe's equation and solve for b
155 = 3(89 - 3b) + 2b
155 = 267 - 9b + 2b
155 = 267 - 7b
-7b = -112
b = 16
Step 4) Use the value of b found in step 3, plug that back into our equation from step 2 and solve for p
89 - 3(16) = p
89 - 48 = p
p = 41
one pair of pants = $16
one bracelet = $41
Hope this helps!! :)
Answer:
see explanation
Step-by-step explanation:
(a)
2x + 10 ← factor out 2 from each term
= 2(x + 5)
(b)
5x - 15 ← factor out 5 from each term
= 5(x - 3)
(c)
8x + 6 ← factor out 2 from each term
= 2(4x + 3)
(d)
12x - 8 ← factor out 4 from each term
= 4(3x - 2)
The answer that results in an image located in Quadrant II is <span>C. rotate 90 degrees counterclockwise, then shift 1 unit up. This is because Quadrant II is located next (at the left) of Quadrant I. This means that a 90 degree rotation and a shift up are safe enough to estimate it to land on Quadrant II.</span>
