Answer: 55 
feet² or 55.556 feet²
Step-by-step explanation:
The scale means that for ever one in the scale drawing, it is 20 in the actual room. We will convert the dimensions using proportions.
100 = x
-> The length is 100 inches
80 = x
-> The width is 80 inches
The area of a rectangle can be found by multiplying the length by the width:
A = L * W
A = 100 * 80
A = 8,000 inches²
To get this into square feet, we will divide by 144. Why? There are 12 inches in a foot. 12 times 12 is 144.
8,000 inches² / 144 = 55 feet²
The area of the room, in square feet, is 55 feet².
Answer:
There are four different possible outcomes: both coins are heads, the red coin is heads and the blue coin is tails, the red coin is tails and the blue coin is heads, or both coins are tails. Each outcome has equal probability. So the probability of both being heads is 1/4.
Step-by-step explanation:
The correct answer is the third option:
The base graph has shifted 6 units to the right.
It is a horizontal translation, because it involves the subtraction of “h” from inputs (x values) causing it to shift to the right,
Answer:
5^ -7 =1 / 5^7
Step-by-step explanation:
(5^2)-^2/ 5^3
We know that a^b^c = a^(b*c)
(5^2)-^2 = 5^(2*-2) = 5^-4
5^-4/ 5^3
We know that a^b /a^c = a^ (b-c)
5 ^ (-4-3)
5^ -7
If we don't want to use negative exponents
We know that a^ -b = 1/ a^b
1 / 5^7
Answer:
17 pencils
Step-by-step explanation:
Assume that cup C holds x pencils. In this case, cup A holds x + 1 pencils, and cup B holds x + 2 pencils. We know that all of the cups together hold 48 pencils. If we add what we got together, we would get x + x + 1 + x + 2 = 48. 2x + 1 + x + 2 = 48. 2x + x + 1 + 2 = 48. 3x + 1 + 2 = 48. 3x + 3 = 48. 3x = 48 - 3. 3x = 45. x = 45 / 3. x = 15. Now, we know that cup C holds 15 pencils, and from here, we can find the number of pencils in cup B by adding 2 to 15 and getting 17, and that would be your answer.
Tell me if I'm wrong :)
