Y = -x + 3
y = 3/2x - 2
-x + 3 = 3/2x - 2....multiply everything by 2 to get rid of the fraction
-2x + 6 = 3x - 4
-2x - 3x = -4 - 6
-5x = -10
x = -10/-5
x = 2
y = -x + 3
y = -2 + 3
y = 1
solution is (2,1)
Answer:
V ≈471.24 mm^3
Step-by-step explanation:
The formula for cylinder volume is πr^2 x h, so ((π x 25) x h). That's just 25π x 6. That is about 471.238898, which rounded is almost 471.24. Or, in terms of π, you could leave your answer as 150π mm^3
Answer:
each month 3 employees were laid off.
Step-by-step explanation:
the company started with 65 employees 12 months ago, and now there are 29. 65 - 29 = 36. In 12 months, 36 employees were laid off. 36 employees divided by 12 months = 3 employees per month.
Answer:

Step-by-step explanation:
Given
Paper = 20 slips
Word: PENNSYLVANIA
Required
Determine P(Multiple of 4 and V)
The sample size of the 20 slips is:

The outcomes of multiples of 4 is:


So, the probability of multiples of 4 is:


The sample size of PENNSYLVANIA is:

The outcome of V is:

So, the probability of V is:

So, the required probability is: P(Multiple of 4 and V)




Express as percentage


Answer:
<h3><u>x < 1.975</u></h3>
Explanation:
-12.4x + 8x > -0.4x - 5.2 - 2.7
<em>Add similar elements: -12.4x + 8x = -4.4x</em>
-4.4x > -0.4x - 5.2 - 2.7
<em>Subtract -5.2 - 2.7: -7.9</em>
-4.4x > -0.4x - 7.9
<em>Multiply both sides by 10</em>
-4.4x · 10 > -0.4x - 7.9 · 10
<em>Refine</em>
-44x > -4x - 79
<em>Add 4x to both sides</em>
-44x + 4x > -4x - 79 + 4x
<em>Simplify</em>
-40x > -79
<em>Multiply both sides by -1 (Reverse the inequality)</em>
-40x (-1) > -79 (-1)
<em>Simplify</em>
40x < 79
Divide both sides by 40
40x / 40 < 79 / 40
<em>Simplify</em>
x < ⁷⁹⁄₄₀
<em>Turn the fraction into a decimal</em>
<h3><u>x < 1.975</u></h3>