carl's monthly budget"
1. carl's monthly income is $4,000.
other expenses is 20%
food and rent is 50%
car payment is 15%
utilities is 10%
part a: how much money did carl budget for food each month?
part b: carl budgeted $60 each month for clothes. what percent of the money budgeted for other expenses is budgeted for clothes?

answer:

c. 1/5, -2

step-by-step explanation:

we are given the following equation and we are to solve it by factorizing it:

we are to find factors of -10 such that when multiplied they give a product of -10 and when added they give a result of 9.

therefore, the correct answer option is c. 1/5, -2.

answer:

80 degrees

step-by-step explanation:

to start, use the fact that the largest angle is the opposite of the longest side. now, use the law of cosines (a^2 = b^2 + c^2 - 2bc cos a), where a is the longest side and a is its opposite, and b and c are the other sides. plug the values in to get 1681 = 1962 - 1638 cos a, or cos a = 281 / 1638. now, use a calculator to get that a is approximately 80.12 degrees, or 80 degrees.

answer:

step-by-step explanation:

answer:

the formula to find the probability is p(a ∩ b)=p(b | a)p(a) and p(a ∩ b) = .

step-by-step explanation:

total numbers in the hat = 30

let a be the event of picking number 1 and b be the event of picking number 2 then without replacement.

clearly, the probability of the second event depends on the first event.

so, p(a ∩ b)=p(b | a)p(a)

p(a) =

p(b | a) means probability of event b with the condition that event a has happened.

so, the first number picked is 1.

therefore, p(b | a) =

p(a ∩ b)=