Answer:
A = 145cm
Step-by-step explanation:
A+B+C = 445cm
b = 1/2c
a = b+45 = 1/2c + 45
445 = c + (0.5c) + (0.5c + 45)
445 = 2c + 45
445 - 45 = 2c
400/2 = c
c = 200cm
a = 1/2c + 45 = 1/2*200 + 45 = 100 + 45 = 145cm
additional $260?
Given:
Karen earns $54.60 for working 6 hours.
Amount she earns varies directly with the number of hours she works.
She need to work to earn an additional $260.
To find:
Number of hours she need to work to earn an additional $260.
Solution:
Let the amount of earnings be A and number of hours be t.
According to question,
...(i)
where, k is constant of proportionality.
Karen earns $54.60 for working 6 hours.
Divide both sides by 6.
Put k=9.1 in (i).
Substitute A=260 in the above equation.
Divide both sides by 9.1.
Therefore, she need to work extra about 29 hours to earn an additional $260.
f(x) = 2x
Answer:
f(-1) = -2
f(0) = 0
f(4) = 8
Step-by-step explanation:
f(x) = 2x
f(-1) = 2(-1)
=> -2
f(0) = 2(0)
=> 0
f(4) = 2(4)
=> 8
Answer:
99.85% of American women have shoe sizes that are less than 12.67
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 8.2
Standard deviation = 1.49
Using the empirical rule, what percentage of American women have shoe sizes that are less than 12.67
12.67 = 8.2 + 3*1.49
12.67 is 3 standard deviations above the mean.
Since the normal distribution is symmetric, 50% of the measures are below the mean and 50% are above. Of those 50% above, 99.7% are between the mean and 12.67. So
0.5 + 0.997*0.5 = 0.9985
99.85% of American women have shoe sizes that are less than 12.67
milk costs $2.20 more than a bottle of water, how much does each item cost?
Answer:
bottle of water: $1.60
gallon of milk: $3.80
bag of chips: $0.80
Step-by-step explanation:
First, the amount of groceries bought can be represented as:
where represents the cost of one gallon of milk, represents the cost of a bottle of water, represents the cost of one bag of chips.
We can form a system of equation by constructing another equation to substitute into the first using the other pieces of information given.
"a bottle of water costs twice as much as a bag of chips"
→
"milk costs $2.20 more than a bottle of water"
Now, substitute these into the first equation and solve for w in terms of c.
So, one bottle of water costs $1.60.
To solve for the other items, plug the solved value into the 2-variable equations.
So, one gallon of milk costs $3.80.
So, one bag of chips costs $0.80.
Answer:
Step-by-step explanation:
5i ⋅i⋅(−2i)= −
10 ⋅ i2 ⋅ i= − 10 ⋅ (−1) ⋅ i = 10i