Answer:
48 inches
Step-by-step explanation:
There are 12 inches in 1 foot. So multiply by 12 to convert from feet to inches.
4 × 12 = 48
4 feet = 48 inches
Answer:
6°F
Step-by-step explanation:
Given that:
Temperature at 11pm = 48°F
Temperature at 7am = 6° cooler
Temperature at 11am = 48°F
Number of degrees temperature changed from 7am to 11 am
Exact temperature at 7am = (temperature at 11 pm - 6°)
= 48°F - 6°F
= 42°F
Temperature change from 7am to 11am
Temperature at 11 am - temperature at 7am
48°F - 42°F
= 6°F
Answer:
Option B.
Step-by-step explanation:
Remember that the profit is defined as the difference between the revenue and the cost.
So, having a profit y = 0 means that the woodworker did not win nor lose anything.
Then the zeros of the function, the values of x such that the graph intersects the x-axis, are the prices such that she does not win nor loss anything.
In the graph we can see that the zeros are at:
x = 15 (the first one)
x = 70 (the second one)
so the zeros are at x = 15 and x = 70, and these are the prices such that the profit is zero, so at these prices she does not make nor lose money.
The correct option is B.
Answer:
There are 12 possible outcomes.
Step-by-step explanation:
This question represents combined independent events of probability. Independent events are not affected by previous events. So, your probability is the same with each flip of the coin or roll of the die. So, you just have to look at the total number of outcomes for each and multiply them. Since there are only two sides to a coin, there are only two total outcomes. Since there are six sides to a die, there are only six total outcomes. 2 x 6 = 12 total outcomes.
Answer:
- 3(2 +7)
- 9(3 +5)
- 16(2 +3)
- 15(2 +5)
- 8(11 +3)
Step-by-step explanation:
- 6 + 21 = 2·3 + 3·7 = 3(2 +7)
- 27 + 45 = 3^3 + 3^2·5 = 9(3 +5)
- 32 + 48 = 2^5 + 2^4·3 = 16(2 +3)
- 30 + 75 = 2·3·5 + 3·5^2 = 15(2 +5)
- 88 + 24 = 2^3·11 +2^3·3 = 8(11 +3)
In each case, the factor outside parentheses is the greatest common factor, the product of the prime factors common to both numbers. When the same factor has different powers, the least power is the common factor.
