3 years ago

Kate can mow lawns at a constant rate of 4/5 lawns per hour. How many lawns can Kate mow in 20 hours?

Mathematics

1 answer:

weqwewe [10]3 years ago

8 0

Answer:

16 lawns

Step-by-step explanation:

set up a proportion:

(4/5 ÷ 1) = (x÷20)

cross-multiply:

5x = 80

x = 16

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Do rational expressions contain logarithmic functions? A. always B. sometimes C. never

bazaltina [42]

The right answer is C. never

The quotient of two algebraic expressions is a fractional expression. Moreover, the quotient of two polynomials such as:

$\frac{1}{x} \\ \\ \frac{3x-2}{1+x} \\ \\ \frac{x^2-4}{x^2+2}$

is called a rational expression. So according to this definition rational expressions does not contain logarithmic functions. In fact, a rational expression is an expression that is the ratio of two polynomials like this:

$f(x)=\frac{P(x)}{Q(x)} \\ \\ with \ Q(x) \neq 0$

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3 years ago

According to the Journal of the American Medical Association (JAMA), hospitals that routinely staff with 1:8 nurse-to-patient ra

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How to factor expressions? For example 4n + 4 • 2, 10t + 10 • 3, 7v + 7 • 8

TiliK225 [7]

Answer:

8(n + 1)

30(t + 1)

56(v + 1)

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(4n + 4)(2)

4(n + 1)(2)

8(n + 1)

(10t + 10)(3)

10(t + 1)(3)

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(7v + 7)(8)

7(v + 1)(8)

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6 0

3 years ago

Help please!

bagirrra123 [75]

(d): y = mx+n

m = -2/3 ⇒ y = (-2/3)x +n

A(-4, 6) ∈ d ⇒ 6 = (-2/3)·(-4) +n ⇒ 6 = 8/3 +n ⇒

⇒ n = 6 - 8/3 ⇒ n = 10/3

Now, we have:

y = (-2/3)x +10/3

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3 years ago