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3 years ago

What is the value of the expression 4x-y/2y+z when x=3 and y=3

Mathematics

1 answer:

dimaraw [331]3 years ago

4 0

Answer:

14.5

Step-by-step explanation:

When solving this we need to use the substitution method. So let's substitute 3 for x and 3 for y.

4x - y / 2y + x

4 ( 3 ) - 3 / 2 (3) + 3

12 - 3 / 6 + 3

Using the method PEMDAS we know to solve the parenthesis first.

12 - 3 / 2(3) + 3

12 - 3 / 6 + 3

Using the method again we know to divide before we add or subtract,

12 - 3 / 6 + 3

12 - 0.5 + 3

Then we subtract

12 - 0.5 = 11.5

Lastly, we add the remaining numbers

11.5 + 3 = 14.5

Hope this helps :)

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Ach equation:<br> - 5(– 2x - 4) + 5x - 4 =- 29

Zinaida [17]

- Multiply (-2x-4) by -5:

[(-5)(-2x) + (-5)(-4)] +5x - 4 = -29

= 10x+20+5x-4=-29

- Combine Like Terms:

(10x+5x) + (20-4) = -29

15x+16=-29

- Subtract 16 from each side

15x+16 -16 = -29 -16

15x = -45

x = -3

3 0

3 years ago

What’s the answer no links.

lisabon 2012 [21]

Answer:

12÷2?

I guess I dunno :/ lel

4 0

3 years ago

A marketing researcher wants to find a 96% confidence interval for the mean amount those visitors spend per person per day while

ki77a [65]

Answer:

$n=(\frac{2.054(12)}{4})^2 =37.97 \approx 38$

So then the minimum sample to ensure the condition given is n= 38

Step-by-step explanation:

Notation

$\bar X$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

$\sigma=12$ represent the population standard deviation

n represent the sample size

ME = 4 the margin of error desired

Solution to the problem

When we create a confidence interval for the mean the margin of error is given by this formula:

$ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (a)

And on this case we have that ME =4 and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=(\frac{z_{\alpha/2} \sigma}{ME})^2$ (b)

The critical value for 96% of confidence interval now can be founded using the normal distribution. The significance is $\alpha=1-0.96 =0.04$ . And in excel we can use this formula to find it:"=-NORM.INV(0.02;0;1)", and we got $z_{\alpha/2}=2.054$ , replacing into formula (b) we got:

$n=(\frac{2.054(12)}{4})^2 =37.97 \approx 38$

So then the minimum sample to ensure the condition given is n= 38

5 0

3 years ago

A line has a slope of 8 and a y-intercept of 2. What is its equation in slope-intercept form?

Bumek [7]

Answer:

y = 8x + 2

Step-by-step explanation:

Slope-intercept form: y = mx + b

m = slope

b = y-intercept value

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2 years ago

There are 8 runners in a race.

lesya692 [45]

STEP 1:
Total runners originally= 8
# of runners to receive trophies= 4

8-2 drop outs= 6 runners total now

STEP 2:
= # of trophies ÷ total runners now
= 4/6
simplify by 2
= (4÷2)/(6÷2)
= 2/3 runners

ANSWER: 2/3 of the remaining runners will win a trophy.

Hope this helps! :)

6 0

3 years ago