Turtles and tortoises have long life spans. a tortoise can live 54,750 days. how many years can a tortoise live?

Which is a true statment about 7 a 14

jekas [21]

The gcf is 7 for both

6 0

3 years ago

What is the answer for 1/4 ( 12x + 24 ) -9x

Gekata [30.6K]

The final expression is $-6x+6$

Step-by-step explanation:

The expression that we have is

$\frac{1}{4}(12x+24)-9x$

In order to solve the expression, we start by applying the distributive property to the bracket. We get:

$\frac{1}{4}\cdot 12x + \frac{1}{4}24 -9x$

Simplifying,

$3x+6-9x$

Now we add the two terms in x, and we find:

$(3x-9x)+6=\\-6x+6$

Which is the final expression.

Learn more about expressions:

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3 0

3 years ago

At a factory that produces pistons for cars, Machine 1 produced 174 satisfactory pistons and 116 unsatisfactory pistons today. M

m_a_m_a [10]

Answer:

$0.7$ is the probability that the piston chosen from Machine 1 is satisfactory and the piston chosen from Machine 2 is unsatisfactory

Step-by-step explanation:

The two events are independent of each other.

Hence the probability of choosing satisfactory piston from Machine 1 and unsatisfactory piston from Machine 2 is equal probability of choosing satisfactory piston from Machine 1 + probability of choosing unsatisfactory piston from Machine 2

Substituting the given values we get

Probability of choosing satisfactory piston from Machine 1 and unsatisfactory piston from Machine 2 = $\frac{174}{174 +116} + \frac{20}{180 +20}$

= $\frac{174}{174 +116} + \frac{20}{180 +20}$

= $= \frac{174}{290} + \frac{20}{200}\\= 0.6 + 0.1\\= 0.7$

5 0

3 years ago

I need help with 2b.

kodGreya [7K]

Answer:

The answer to your question

a) Values excluded = -2, 0

b) solutions = -2/3, 2

Step-by-step explanation:

Equation

$\frac{4x}{2x + 4} = \frac{x+ 2}{2x}$

a) x is restricted when the denominators equal zero, so let's get them.

2x + 4 = 0 2x = 0

2x = - 4 x = 0 / 2

x = -4 / 2 x = 0

x = -2

x must be different to -2, 0

b) $\frac{4x}{2x + 4} = \frac{x+ 2}{2x}$

$\frac{2x}{x + 2} = \frac{x + 2}{2x}$

4x² = (x + 2)²

4x² = x² + 4x + 4

4x² - x² - 4x - 4 = 0

3x² - 4x - 4 = 0

3x² - 6x + 2x - 4 = 0

3x(x - 2) + 2(x - 2) = 0

(x - 2)(3x + 2) = 0

x₁ - 2 = 0 3x₂ + 2 = 0

x₁ = 2 x₂ = -2/3

7 0

3 years ago

A student collected monetary pledges for a fundraiser. One donor pledged to contribute $5 for each mile walked by the student du

Snezhnost [94]

Answer:

A. The situation is discrete B. i. { x : 0 ≤ x ≤ 6; x ∈ Z} ii. { C = 5x : 0 ≤ C ≤ 30; C ∈ Z}

Step-by-step explanation:

A. The situation is discrete since we have integral values for the amount paid per mile walked. The amount per mile is $5 and is only paid if a complete mile is walked. So, it is a discrete situation.

B. i. Since 0 miles represents 0 distance and the student walks a maximum of 6 miles, let x represent the distance walked. So the domain is 0 ≤ x ≤ 6 where x ∈ Z where Z represent integers.

{ x : 0 ≤ x ≤ 6; x ∈ Z}

ii. Since at 0 miles the amount earned is 0 miles × $5 per mile = $ 0 and at the maximum distance of 6 miles, the amount earned is 6 miles × $5 per mile = $ 30, let C represent the amount donated in dollars. So the range is 0 ≤ C ≤ $ 30 where C = 5x.

{ C = 5x : 0 ≤ C ≤ 30; C ∈ Z}

6 0

3 years ago