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marusya05 [52]
3 years ago
12

What should be the first step to solve the equation? 2x + 9(x – 1) = 8(2x + 2) – 5 Combine like terms on each side of the equati

on. Use the distributive property on each side of the equation. Use the subtraction property of equality to subtract 5 from each side of the equation. Use the addition property of equality to add 2x to each side of the equation.
Mathematics
1 answer:
m_a_m_a [10]3 years ago
5 0

Answer: Use the distributive property on each side of the equation.

Step-by-step explanation: Before doing the other steps, you need to distribute because there are numbers next to parenthesis.

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The ratio of a dog and cat owners is four to 5 there are 48 dog owners how many cat owners
Verdich [7]

Answer:

60

Step-by-step explanation:

Let the number of dog owners and cat owners be 4x and 5x

4x = 48

x = 48/4

x = 12

Therefore 5x = 5×12

= 60

6 0
3 years ago
4)In order to set rates, an insurance company is trying to estimate the number of sick daysthat full time workers at an auto rep
bagirrra123 [75]

Answer:

A sample of 18 is required.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1 - 0.92}{2} = 0.04

Now, we have to find z in the Z-table as such z has a p-value of 1 - \alpha.

That is z with a pvalue of 1 - 0.04 = 0.96, so Z = 1.88.

Now, find the margin of error M as such

M = z\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

A previous study indicated that the standard deviation was 2.2 days.

This means that \sigma = 2.2

How large a sample must be selected if the company wants to be 92% confident that the true mean differs from the sample mean by no more than 1 day?

This is n for which M = 1. So

M = z\frac{\sigma}{\sqrt{n}}

1 = 1.88\frac{2.2}{\sqrt{n}}

\sqrt{n} = 1.88*2.2

(\sqrt{n})^2 = (1.88*2.2)^2

n = 17.1

Rounding up:

A sample of 18 is required.

3 0
3 years ago
A family worked all day building a sandcastle on the beach. As they were building the castle they recorded the number of pails o
LiRa [457]

Answer:

15708 cubic inches

Step-by-step explanation:

The formula for a cylandir is V=πr^2h, substitute in your known factors and multiply by 20 for the 20 pails used and you get your answer.

5 0
2 years ago
Find the discriminant of the following quadratic equation then state the number of rational, irrational, and imaginary solutions
lianna [129]

Answer:

  • -6x² - 6 = -7x - 9
  • -6x² + 7x - 6 + 9 = 0
  • -6x² + 7x + 3 = 0
  • 6x² - 7x - 3 = 0

<u>Discriminant:</u>

  • D = (-7)² - 4*6*(-3) = 49 + 72 = 121

<u>Since D > 0, there are 2 real solutions:</u>

  • x = (- (-7) ±√121 )/12
  • x = (7 ± 11)/12
  • x = 1.5, x = -1/3

8 0
3 years ago
Read 2 more answers
I’m trying to get this math test done, can I please have some help?
Sati [7]

Answer: B

Step-by-step explanation:

If you use slope-intercept form, you can see that B uses the equation y = 5x - 4, and you can also see that it is linear since it is proportional. The only coordinate plane that has a nonlinear line is D.

5 0
3 years ago
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