Answer:
(a) 55080 m³
(b) 1312 truckloads
(c) 11 days
Step-by-step explanation:
(a) We have a rectangular prism with the dimensions 12 by 85 by 54, so the volume is just the product of these numbers:
V = 12 * 85 * 54 = 55080 m³
(b) The truck can hold 42 m³ of earth, so divide 55080 by 42 to get the number of truckloads required:
55080 / 42 = 1311.4
Since we will still need a truckload to hold that little bit of earth that involves 0.4 of a truck, we round up to 1312 truckloads.
(c) In one day, 4 trucks work for 6 hours and since each truck can remove 42 m³ with 5 loads per hour, we have:
42 * 5 * 6 * 4 = 5040 m³ earth removed a day
Divide 55080 by 5040 to get the number of days:
55080 / 5040 = 10.9 ≈ 11 days
First distribute the 1/5 through the parentheses.
1/5 (3 + 2z) - 4z = -3
3/5 + 2/5z - 4z = -3
subtract 3/5 from each side
2/5z - 4z = -3 - 3/5
combine like terms
-3 3/5z = - 3 3/5
z = 1
Answer A
Answer:
24.75
Step-by-step explanation:
keychain=$6.75
t.shirt=X
according to question
X+6.75=31.50
X=24.75
Equation: x + x + 6 = 2x = 25
smallest side is 4.75 units
largest size is 4.75 + 6 = 10.75 units
3rd side is 2(4.75)= 9.5 units
smallest side is x
largest size is x + 6
3rd side is 2x
-----------------------------------
4x + 6 = 25
-6 -6
<u>4x</u> = <span><u>19</u>
</span> 4 4
x = 4.75 is the smallest side
smallest side is 4.75 units
largest size is 4.75 + 6 = 10.75 units
3rd side is 2(4.75)= 9.5 units