Answer:
2 2/3 hours
Step-by-step explanation:
1/4 + 2/3 + 1 3/4 common denominator is 12
3/12 + 8/12 + 21/12 = 32/12 = 2 8/12 = 2 2/3 hours
Answer:
56 : 28 as 122 : 61
Step-by-step explanation:
Proportion says that two ratios or fractions are equal.
As per the statement:
56 : 28 :: 122 : ?
Let x be the fourth proportion.
then;
56 : 28 :: 122 : x
by definition of proportion:

by cross multiply we have;

Divide both sides by 56 we have;
x = 61
Therefore, 56 : 28 as 122 : 61
76,500/100,000 divide by 100
765/1,000. divide by 5
153/500
Answer:
(1,0)
Step-by-step explanation:
The given functions are:
f(x) = log₂x
and
g(x) = log₁₀x
We know that logarithm of 1 is always zero.
This means that irrespective of the base, the y-values of both functions will be equal to 0 at x=1
Therefore the point the graphs of f and g have in common is (1,0)
Answer:
1.5 feet
Step-by-step explanation:
Bob wants to plant a 7 foot by 10 foot garden.
Area =
square feet
He wants to make a uniform border of petunias around the outside and still have 28 square feet to plant tomatoes and roses in the middle.
Means we have to factor 28 in a way that the length and width is less than 10 and 7.
28 = 2 x 2 x 7
Means 4 feet can be width and 7 feet the length of the area where tomatoes need to be planted.
So, we have
feet less than outer garden means at each side
feet decreases.
Similarly, we have
feet less width and at each side it is 1.5 feet.
Therefore, the border of petunias will be 1.5 feet wide on all sides.