The ratio is 1 1/2 cups of cheese to 6 oz of pasta. All statements have 1 cup of cheese, so let's find the corresponding amount of pasta using a rule of three:
So the amount of pasta is 4 oz, therefore the correct statement is B.
<span>let length of painting = L
and width = W
from area = length times width
180 inch^2 = L times W
but L = 5/4 times W
180 inch^2 = 5/4 times W times W
W^2 = (4 x 180)/5
W = 12
but L = 5/4 x W
L = 5/4 x 12
L = 15
</span>
<span>Answer: The dimensions of the painting are </span><u>12 x 15 inches</u>.
You can convert (1/625) to an exponent, and it would be ideal to have 5 as the base of it because you want your log base to cancel it out. what i usually do in this case is just test out 5^1, 5^2, etc until i find one that matches the number i need. in this case because the number you're trying to work with is a small fraction, you'll want to use NEGATIVE exponents so it'll create a fraction instead of a large whole number:
5^-1 = 1/5
. . . keep trying those. . .
5^-4 = 1/625
so, because they're equal to one another, it'll be waaay easier after you substitute 5^-4 in place of 1/625
x = log₅ 5⁻⁴
log base 5 of 5 simplifies to 1. subbing in the 5^-4 gets rid of the log for you altogether, and your -4 exponent drops down:
x = -4 is your answer
if the exponent dropping down doesn't make sense to you, you can think of it in another way:
x = log₅ 5⁻⁴
expand the expression so that the exponent moves in front of the log function:
x = (-4) log₅ 5
then, still, log base 5 of 5 simplifies to 1, so you're left with:
x = (-4)1 or x = -4
Answer:
Step-by-step explanation:
number of the students like brussels sprouts but dislike lima beans = number of these students who dislike lima beans - number of students who dislike lima beans and also dislike brussels sprouts
Answer:
no
Step-by-step explanation:
no enough info
