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3 years ago

11

Kendall made 5/6 of a kilogram of trail mix. If she puts 1/6 of a kilogram into each bag, how many bags can Kendall fill? (label

is "bags")

2 answers:

denpristay [2]3 years ago

8 0

She can use 5 bags to fill use the most mix

inysia [295]3 years ago

4 0

Answer: She will have 5 bags

Step-by-step explanation:

a way to solve this is to go

1/6 + 1/6 + 1/6 + 1/6 + 1/6

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The library sells 376 books at its annual used-book fundraiser. They take in a total of $2120. Childrens books cost $4, and adul

igomit [66]

$Answer: \left\{\begin{array}{ccc}4a+7c=2120\\a+c=376\end{array}\right$

7 0

3 years ago

I need help with this math question

Kitty [74]

Answer:

16675514 Frog

Step-by-step explanation:

$g(25)=14(1.75)^{25} =16675514$

7 0

3 years ago

Is the sum of an irrational number and rational number always irrational?

MissTica

Yes.

It can be proved by contradiction.

Let:
a - a rational number
b - an irrational number
c - the sum of a and b

$a+b=c$

Let assume that c is a rational number. Then a and c can be expressed as fractions with integer numerator and denominator:
$a=\dfrac{d}{e}\\
c=\dfrac{f}{g}\\$ where $d,e,f,g \in \mathbb{Z}$

$\dfrac{d}{e}+b=\dfrac{f}{g}\\
b=\dfrac{f}{g}-\dfrac{d}{e}\\
b=\dfrac{ef}{eg}-\dfrac{dg}{eg}\\
b=\dfrac{ef-dg}{eg}$

Since $d,e,f,g$ are all integers, then the products $ef,dg,eg$ and the difference $ef-dg$ are integers as well. It means that the number $b$ is a rational number, but this on the other hand contradicts the earlier assumption that $b$ is an irrational number. Therefore $c$ must be an irrational number.

8 0

3 years ago

Given that A, O & B lie on a straight line segment, evaluate obtuse ∠AOC.

Law Incorporation [45]

Answer:

∠ AOC = 124°

Step-by-step explanation:

the 3 angles lie on a straight line and sum to 180°

sum the 3 angles and equate to 180

3x + 94 + x + 30 + 2x - 4 = 180

6x + 120 = 180 ( subtract 120 from both sides )

6x = 60 ( divide both sides by 6 )

x = 10

Then

∠ AOC = 3x + 94 = 3(10) + 94 = 30 + 94 = 124°

3 0

2 years ago

George wants to rent a car for a road trip with his friends. He checked the rentals with two companies. Company A charges a non-

andre [41]

Answer:

Company A has a greater daily rate

Step-by-step explanation:

Given

Company A

$Base\ Charges=\$50$

$Daily\ Rate = \$150$

Company B

$f(x) = 50(2x +1)$

Required

Determine the company with greater rate

Simplify the expression of company B

$f(x) = 50(2x +1)$

$f(x) = 50 * 2x + 50 * 1$

$f(x) = 100x + 50$

In a linear function:

$f(x) = mx + b$

m represents the rates.

This implies that the rate of company B is:

$Rate =100$

and the rate of company A is

$Daily\ Rate = \$150$

By comparison:

Company A has a greater daily rate

7 0

3 years ago