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ludmilkaskok [199]
2 years ago
12

1. The rectangle shown is dilated by a scale factor of 2.

Mathematics
1 answer:
stealth61 [152]2 years ago
8 0
Well, I don't what your question is, but I will assume that you want the dimensions of the rectangle after its dilation. So, multiply the dimensions of the rectangle by 2 to make it dilated.
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60 G of Henry's favorite breakfast cereal is 1/4 sugar how much sugar is in a 60g serving converted
katrin2010 [14]

Answer:

Step-by-step explanation:

Fraction of sugar in 60 gram cereal = 1/4

1/4 parts means that if 60 gram sugar is divided into four parts then out of that one part is sugar.

Amount of sugar in cereal in grams = 1/4 of 60 gram

Amount of sugar in cereal in grams = 1/4 * 60 gram = 15 grams.

Therefore, 15 grams sugar is in a 60 gram serving converted.

4 0
2 years ago
How do you factor: 5x^3+30x^2+45x (please show steps)
Natasha2012 [34]

Answer:

Idk

Step-by-step explanation:idk

3 0
3 years ago
Read 2 more answers
Samuel walks in the Labor Day parade. He walks 3 1/4 miles along the parade route and 2 5/6 miles home. How many miles does Samu
Afina-wow [57]
Find a common denominator which is 12

1*3=3   4*3=12  so 3 3/12

then 5*2=10   6*2=12     so 2 10/12

2 10/12+3 3/12= 5 13/12  

13/12= 1 1/12 plus 5= 6 1/12

so your answer would be 6 1/12
3 0
2 years ago
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The nth term of a sequence is 3n+5<br> write down the 5th and 6th terms of the sequence
QveST [7]

Answer:

5th term: 20

6th term: 23

Step-by-step explanation:

T5=3n+5

T5=3(5)+5

T5=15+5

T5=20.

T6=3n+5

T6=3(6)+5

T6=18+5

T6=23

T5= 20

T6= 23

6 0
2 years ago
Cost, Revenue, Profit
Anika [276]

Answer:

1. C(n) = 2.25n + 120

2. R(n) = 3.51n

3. P(n) = 1.26n - 120

1. 96 frozen bananas must be sold in order to make a positive profit.

2. In order to make a profit, I have to sell a minimum of <u>96 frozen bananas</u>.

Step-by-step explanation:

1. Write a function, C(n), to represent your total costs for the week if you sell n frozen bananas.

Total cost is the addition of total variable cost and total fixed cost. Therefore, the function is as follows:

C(n) = 2.25n + 120

Where 2.25n is the total variable cost while 120 is the total fixed cost.

2. Write a function, R(n), to represent the revenue from the sale of n frozen bananas during the week.

Revenue is equal to selling price per unit multiplied by the number of units sold. Therefore, the function is as follows:

R(n) = 3.51 * n

R(n) = 3.51n

Where 3.51 is the selling price per unit while n the number of units sold.

3. Write a function, P(n), that represents the profits for selling n frozen bananas in a given week.

Profit is equal to total revenue minus total cost. Therefore, the function can be derived as follows:

P(n) = R(n) - C(n)

P(n) = 3.51n - 2.25n + 120

P(n) = 1.26n - 120

1. How many frozen bananas must you sell in order to make a positive profit? Write your answer as a whole number.

This can be obtained by equating the profit function to zero and solve for n as follows:

P(n) = 0 => 1.26n - 120 = 0

Therefore, we have:

1.26n = 120

n = 120 / 1.26

n = 95.2380952380952 frozen bananas

Writing it as a whole number, we have:

n = 95 frozen bananas

However, using this whole number will result in a negative profit by substituting it into the profit function as follows:

P(n) = (1.26 * 95) - 120 = -$0.30

Therefore, n has to be increased by one to 96 which is also a whole number to have a positive profit as follows:

P(n) = (1.26 * 96) - 120 = $0.96

Therefore, 96 frozen bananas must be sold in order to make a positive profit.

2. Complete the following sentence to explain the meaning of #1:

In order to make a profit, I have to sell a minimum of <u>96 frozen bananas</u>.

7 0
3 years ago
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