Answer:
(1)Base Area= 81 square yards.
(2)
-
6 ft long and 8 ft wide
- 24 ft long and 2 ft wide
(3)Height=12 Units
Step-by-step explanation:
<u>Question 1</u>
Volume of the rectangular prism=2,592 cubic yards.
Height of the rectangular prism=32 yards
Volume of a rectangular prism =lbh (where lb is the Base Area)
Therefore:
lbh=2592
32lb=2592
lb=2592/32=81
Base Area= 81 square yards.
<u>Question 2</u>
Volume of the rectangular prism=432 cubic feet.
Height of the rectangular prism=9 feet
Volume of a rectangular prism =lbh (where lb is the Base Area)
Therefore:
lbh=432
9lb=432
lb=432/9=48
Base Area= 48 square yards.
Any dimension whose product is 48 is a possible choice.
They are:
- 3 ft long and 16 ft wide
-
6 ft long and 8 ft wide
- 24 ft long and 2 ft wide
<u>Question 3</u>
<u />
Volume of the rectangular prism=960 cubic units.
Base Area of the rectangular prism, lb=80 Square Units
Volume of a rectangular prism =lbh (where lb is the Base Area)
Therefore:
lbh=960
80h=960
h=960/80=12
Height= 12 units.
Answer:
x = 30
Step-by-step explanation:
4x + 2x = 180
6x = 180
x = 30
The linear function g which has a rate of change of -16 and initial value 600 is; g = -16x + 600.
<h3>What is the linear function which is as described?</h3>
It follows from the task content that the linear expression which is as described by the given verbal description is to be determined.
Since the standard slope-intercept form of a linear function is as given; f(x) = ax + b.
Where, a = slope (rate of change) and b = y-intercept (initial value).
Therefore, the required linear function which is as described is;
g = -16x + 600
Read more on linear functions;
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For one it would be c and d
Two x is greater than seven
three would be x is greater than or equal to 6
Four would be subtract eight from both sides you get 24 and then divide by negative four which gets you negative six but then you have to turn the sign around. Number set would be anything above negative six,so like negative five, 52, and one
Five would be subtract 3 from both sides giving you 5 on the right side and then multiply by six on both sides giving you thirty on the right side, resulting in x is greater than or equal to thirty. Three numbers that would work would be thirty, fifty nine, and thirty five.
Answer:
3 1/3 hours
Step-by-step explanation:
First we need to find how much she gets paid per hour. We can find this by diving the pay by the hours worked. Let x equal the pay per hour.
90/5=x
We can simplify the fraction by diving both the numerator and denominator by 5
(90/5)(5/5)=x
Do the division
18/1=x
Gianna gets paid 18 dollars per hour.
Now to find how much she needs to work we can divide the money she wants by the pay she gets per hour. Let y be the number of hours she needs to work.
60/18=y
turn into a mixed number
3 1/3=y
She would need to work 3 1/3 hours to make $60
