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Arlecino [84]
4 years ago
11

Marta went to the farmer's market to buy oranges. The oranges that are 3 inches in diameter cost 25 cents per dozen. The oranges

that are 4 inches in diameter are 50 cents per dozen. Marta chose the 3-inch oranges. Did she make the more economical decision? Explain your answer?
Mathematics
1 answer:
grigory [225]4 years ago
5 0

Answer: no

Step-by-step explanation:

If we consider the volume of each orange ( we have considered the orange as a perfect sphere)

we have the volume=(4/3) * π R^3 where is the orange radius

for 3 inch diameter de volume is =1.33*3.1415*3.37 inch^3

for 4 inch diameter de volume is =1.33*3.1415*8 inch^3

Taking into account a dozen of oranges we have to multiplier by 12 both orange volume are:

V dozen 3-inch= 40.44 inch^3 (paying 25 cent)

V dozen 4-inch= 96.00 inch^3 (paying 50 cent)

If she want to buy more that one dozen is economical  better choose  the 4 inch oranges

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A manufacturer produces both two-slice and four-slice toasters. The two-slice toaster takes 6 hours of labor to produce and the
frosja888 [35]

We have two products: a two-slice toaster and a four-slice toaster.

Lets call T the number of two-slice toasters produced and F the number of four-slice toasters produced.

If we have 300 hours per week of labor, the sum of the labor required for T and F has to be lower or equal to that value.

The labor hours that take to make the two-slice toasters can be written as 6*T, as it is the product of the hours per unit (6 hours/unit) by the number of units (T units).

The same can be done for F, where the labor required can be expressed as 10*T.

If we add these terms, and make them be less or equal than 300, we get:

6T+10F\le300

The production capacity is 40 units, so the sum of T and F has to be less or equal than 40.

We can express this as:

T+F\le40

Answer:

The system of inequalities for this problem becomes:

\begin{gathered} 6T+10F\le300 \\ T+F\le40 \end{gathered}

6T+10F<=300

T+F<=40

6 0
1 year ago
I need helpppppp pls help
quester [9]

Answer:

The value on the In side: 2

The first value on the Out side: 87

The second value on the Out side: 93

Step-by-step explanation:

First, I started by finding the differences by each step on both sides. I noticed that they increased together. 45-27 is 18, and it mirrored on the other side. 27-9 is 18, and it mirrored. By this I mean that 81-63=18 as well as 63-45=18. So I followed this pattern 45-38=7, so 9-7=2, and that gives us our first answer. 51-45=6, so 81+6=87, gives us our second. 57-51=6, so 87+6=93, and this gives us our third.

4 0
4 years ago
A piggy bank of coins has quarters and dimes totaling $2.90. If there are 8 more dimes than quarters, how many of each coin is i
xenn [34]

Answer:

12 dimes and 4 quarters

Step-by-step explanation:

If a quarter is 25 cents and a dime is 10 cents then:

There are at least 8 dimes, so we have at least 80 cents

And we know there is only 8 more dimes than quarters so the ratio 12 dimes: 4 quarters tells us that this expression is correct

4 0
2 years ago
A steel oil tank is a cylinder with a diameter of 12 ft and a height of 18 ft. How many square feet of steel were needed to make
k0ka [10]

Answer:

it needed 30 square feet of stell

Step-by-step explanation:

6 0
3 years ago
2y=-8 which set of steps shows the solution to the equation
Rainbow [258]
2y=-8
We need to clear "y" with inverse operations.

y= -8/2      if 2 was multiplying now is dividing
y= -4

6 0
3 years ago
Read 2 more answers
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