Andrea can clean a house 4 times as fast as Denise. When they work together, Andrea and Denise can clean a large house in 8 hours. How many hours would it take Denise to clean the house by herself?

Answers

Answer 1

Answer: ummmmhmmm not sure ,but im guessing 32

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which algebraic expression is a polynomial with a degree of 4? a: 5x4 b: x5 – 6x4 14x3 x2 c :9x4 – x3 – d:2x4 – 6x4

Answers

Answer: the option C. c) 9x⁴– x³– ...

Explanation:

1) A polynomial of one variable is an expression of the kind:

$a_nx^n+a_(n-1)x^(n-1)+a_(n-2)x^(n-2)+...+a_1x+a_0$

2) The order of the polynomial is the highest exponent of the variable, this is n

3) When the expression has one term it is called a monomial, when the expression has two terms it is called a binomial, when the expression has 3 terms it is called a trinomial.

Usually expressions of that kind with two or more terms are referred as polynomial, but one term is referred as monomial.

4) For the given expressions you have:

a) 5x⁴: it is a monomial (one term), which is usually not referred as polynomial properly.

b) x⁵ – 6x⁴ + 14x³ + x²: it is a polynomial with degree 5 (the highest power).

c) 9x⁴– x³– ... : altough the expression is incomplete, assuming that the next terms are monomials with degree less than 4, then this is a polynomial with degree 4, and is the right answer choice.

d) 2x⁴ – 6x⁴: since both terms have the same power, they can be simplified into one term, - 4x⁴, and it is a monomial.

For polynomials having two or more variables, degree can be of a term or of the polynomial. The degree of a term is the sum of the exponents in a specific term while the degree of a polynomial is the highest value of all the degree of a term in the given polynomial. From the choices given, the algebraic expression with a degree of 4 is option C, 9x^4 – x^3.

How do you solve this? 3w+2<2w+5

Answers

3w + 2 < 2w + 5

First, subtract 2 from both sides. / Your problem should look like: $3w \ \textless \ 2w + 5 - 2$
Second, simplify. / Your problem should look like: $3w \ \textless \ 2w + 3$
Third, subtract 2w from both sides. / Your problem should look like: $3w - 2w \ \textless \ 3$
Fourth, subtract 3w - 2w to get w. / Your problem should look like: $w \ \textless \ 3$

Answer: w < 3

Which expression would represent the cost of one CD, if the total cost for three of them is $36?36-3
3(36)
36/3
3+36

Answers

Answer:

C: 36/3

Step-by-step explanation:

36 ÷ 3 = 12

We solve by using the total amount of dollars and dividing by how many CDs there are

Answer:C: 36/3

Step-by-step explanation:

36 ÷ 3 = 12

We solve by using the total amount of dollars and dividing by how many CDs there are

Assuming the average composition of air weighs approximately 0.0807 lbs per cubic foot, what is the weight of air in a giant balloon with a diameter of 6 feet?

Answers

Assuming the balloon is spherical in this occasion :3^2 x pi = 23.37 (ish)23.37 x 6 = 140.22 (ish)140.22 x 0.0807 = 11.315754 (ish)(ish) is explained by my use of piAnd I was also unsure of the unit the diameter was measured

Next 2 terms in geometric sequence
11 ,11 ,111 ,1111

Answers

Answer:

11111, 111111

Step-by-step explanation:

that is how sequences work

Find the difference between theproduct of 26.22 and 3.09 and the sum of 3.507, 2.08, 11.5, and 16.712. A. 47.2208 B. 58.3108 C. 4.489 D. 6.511

Answers

26.22× 3.09 ≈ 81.0198– 3.507 ≈ 7 7.5128– 2.08 ≈ 75.4328– 11.5 ≈ 63.9328– 16.712
≈47.2208 Your answer is A

the difference between the product of 26.22 and 3.09 and sum of 3.507, 2.08, 11.5 and 16.712

Now this looks messy, change them into numerals:
(26.22 × 3.09) - (3.507 + 2.08 + 11.5 + 16.712)
Clear the parenthesis:
81.0198 - 33.799
Subtract:
47.2208

Answer is: A. 47.2208

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