Answer:
what is
Step-by-step explanation:
Answer:
the possible combinations of $5 and $10 gift cards your club can purchase are :
eight $5 gift cards and twelve $10 gift cards
nine $5 gift cards and eleven $10 gift cards
or ten each of $5 gift cards and $10 gift cards
Step-by-step explanation:
From the information given:
You plan to buy a combination of $5 and $10 gift cards
You plan to buy exactly 20 gift cards and want to spend between $150 and $160.
The objective is to determine the possible combinations of $5 and $10 gift cards your club can purchase?
Let assume the g is the number of the $5 gift cards bought;
then (20 - g) will be the number of the $10 gift card bought.
Thus; the compound inequality for the amount spent between $150 and $160 will be:
= 150 ≤ 5g + 10(20 - g) ≤ 160
= 150 ≤ 5g + 200 - 10g ≤ 160
= 150 ≤ 5g -10 g + 200 ≤ 160
= 150 ≤ -5g + 200 ≤ 160
= 150-200 ≤ -5g ≤ 160
-200
= -50 ≤ -5g ≤ -40
Divide through by -5
= 10 ≥ g ≥ 8
= 8 ≤ g ≤ 10
Thus; the possible combinations of $5 and $10 gift cards your club can purchase are :
eight $5 gift cards and twelve $10 gift cards = i.e 8 ×$5 + 12 ×$10
= $40+$120
=$160
nine $5 gift cards and eleven $10 gift cards
= 9 ×$5 + 11 ×$10
= $45 + $110
= $155
or ten each of $5 gift cards and $10 gift cards
= 10 ×$5 + 10 ×$10
= $50 + $100
= $150
These combinations falls in between the range of $150 and $160.
Answer:
sum of twice a number and three is 21
2x + 3 = 21
x = 9
1) The answer for both includes a circle. You would rotate the shape around the axis of symmetry, creating an infinite number of 2-d circles stacked on top of each other, creating the cone or cylinder. In the case of a cylinder, the other shape is a rectangle, and in the case of a cone, a right triangle with one line serving as the axis of symmetry.
2) The volume of a cone is the area of the base, multiplied by height, divided by 3. This means that the volume of a cone is 1/3 the volume of a cylinder of equal height and base area. The volume of a cylinder is the area of the base times height. The volume of a pyramid, similar to a cone, is the area of the base (length x width) times the height, divided by three.
3) One definition of density is mass/volume, or mass per unit of volume. For example, if a 5 kg object has a volume of 10 cm³, than the density would be 0.5kg/cm³. In population density, relative to our example, area takes the place of volume and population takes the place of mass. This means that population density is population/area. For example, if 10,000 people occupy an area of 5 square miles, then the population density is 2,000 people/ square mile.
4) As you are clearly learning in this class, the volume of an object is not only determined by its dimensions, such as base, width, and height, but its shape. Let's review the cone example. If a cone and a cylinder have the same base area and height, the cone has a volume of 1/3 that of the cylinder.
5) When might you want to use volume in your daily life? Here is a depressing example. Say your corporate job in the Accounting Department has you feeling blue, and your only break is your daily trip to the water cooler. The cups at the cooler are cone-shaped. Not only is this inconvenient because you can't stand them up without getting the rim dirty, but these cups contain 1/3 the water that a perfectly cylindrical cup of the same base/height could provide. You may tell your manager this, and earn yourself some fancy new cylindrical paper cups!
