Answer:
The total area of the flag was 394 square inches.
Step-by-step explanation:
Given that Rainey's group designed a flag, and they used 234 square inches of green fabric, twice as much green fabric as orange fabric, and 3 times as much green fabric as yellow fabric and they had 35 sq inches of yellow fabric left, to determine the total area of the flag the following calculation must be performed:
234 + 234/2 + (234/3 - 35) = X
234 + 117 + (78 - 35) = X
234 + 117 + 43 = X
234 + 160 = X
394 = X
Thus, the total area of the flag was 394 square inches.
Answer:
0
Step-by-step explanation:
To evaluate log10 1 without using a calculator
From the laws of logarithm,
Logₐ b = x
Then a^x = b
Therefore if log10 1 = x
10^x = 1
From the laws of indices (any figure raised to the power of 0 = 1)
a^0 = 1
Therefore, x = 0
log10 1 = 0
Answer:
x = 7, x = 
Step-by-step explanation:
A restriction can only be found in the denominators and this is when x is a certain number that when plugged in, makes the expression 0 (this makes it undefined, which you cannot have).
<em><u>Since we are only looking at the denominator, you can just ignore the numerator:</u></em>
(x - 7) (5x + 1)
<em><u>To find the restrictions, you must set them equal to 0:</u></em>
x - 7 = 0
5x + 1 = 0
<em><u>Then, solve:</u></em>
x - 7 = 0 5x + 1 = 0
+ 7 + 7 - 1 - 1
________ ________
x = 7 5x = -1
x = 
If you plug these numbers in, the total outcome would come out to be 0, making the expression undefined, proving that these are the restrictions of the expression.
the answer is f18ab2<span> • sqrt(oa) </span>
Let the first number be 'x' and the second number is 'y'
Equation 1: x + y = 52
Equation 2: x - y = 38
Rearranging equation 2 to make either x or y the subject
x = 38 + y
Substituting x = 38 + y into equation 1
x + y = 52
(38+y) + y = 52
38 + 2y = 52
2y = 52 - 38
2y = 14
y = 7
Substitute y = 7 into either equation 1 or equation 2 to find x
x + y = 52
x + 7 = 52
x = 52 - 7
x = 45
x = 45
y = 7