Answer:
B The length is 5 inches, the width is 2 inches, and the height is 14 inches.
Step-by-step explanation:
The equation that desribes the volume of a party-favor bag is
![x^3+6x^2-27x-140=0.](https://tex.z-dn.net/?f=x%5E3%2B6x%5E2-27x-140%3D0.)
The solutions of theis equation can be found among divisors of -140. The divisors are:
![\pm1, \pm2, \pm4, \pm5, \pm 7,\pm 10, \pm 14, \pm 20, \pm 35, \pm 70, \pm 140.](https://tex.z-dn.net/?f=%5Cpm1%2C%20%5Cpm2%2C%20%5Cpm4%2C%20%5Cpm5%2C%20%5Cpm%207%2C%5Cpm%2010%2C%20%5Cpm%2014%2C%20%5Cpm%2020%2C%20%5Cpm%2035%2C%20%5Cpm%2070%2C%20%5Cpm%20140.)
Note that
![5^3+6\cdot 5^2-27\cdot 5-140=125+150-135-140=275-275=0,](https://tex.z-dn.net/?f=5%5E3%2B6%5Ccdot%205%5E2-27%5Ccdot%205-140%3D125%2B150-135-140%3D275-275%3D0%2C)
so
![x=5](https://tex.z-dn.net/?f=x%3D5)
is the solution of the equation.
Hence,
the length is 5 inches, the width is 5-3=2 inches and the height is 5+9=14 inches.
Answer:
428÷6=5=7×8+9÷{6}r6×7×8÷8=8%8+8×
Answer: A.) 7.2 ft^2
![3\frac{3}{16}\cdot2\ \frac{1}{4}=7.171875](https://tex.z-dn.net/?f=3%5Cfrac%7B3%7D%7B16%7D%5Ccdot2%5C%20%5Cfrac%7B1%7D%7B4%7D%3D7.171875)
I hope this is good enough:
So you need to compute all the rates to see which is the best deal.
$1.79/12.5ft^2=$0.1432 per ft^2
$5.29/40ft^2=$0.13225 per ft^2
$8.49/50ft^2=$0.1698 per ft^2
$6/60ft^2=$0.10 per ft^2
So the last option is the cheapes per square foot and thus is the best deal. Ordered from least to greatest.
Sherbert, blue, red, and green
Answer:
120
Step-by-step explanation:
2 of every 5 trees are pine trees.
2/5 · 300 = 120
120 pine trees are going to be planted in the park.