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2 years ago

2(4z−1)=3(z+2) How do you solve this? Plz show step-by-step

2 answers:

6 0

Open the brackets
8z - 2 =3z +6
Collect like terms
8z - 3z = 6 +2
5z = 8
Divide both sides by 5
Therefore 8/5 is the answer

DiKsa [7]2 years ago

5 0

Answer:

z = 8/5 OR 1 3/5

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

$2(4z-1)=3(z+2)$
$2(4z)+2(-1)=3(z)+3(2)$
$8z-2=3z+6$

Step 2: Subtract 3z from both sides.

$8z - 2 - 3z = 3z + 6 - 3x$
$5x - 2 = 6$

Step 3: Add 2 to both sides.

$5x - 2 + 2 = 6 + 2$
$5x = 8$

Step 4: Divide both sides by 5.

$\frac{5x}{5} = \frac{8}{5}$
$x = \frac{8}{5}$ OR $x = 1\frac{3}{5}$

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PLEASE HELP! DUE AT 11:59 PST

Nesterboy [21]

Answer:

Y = 15x + 30 and 8 hours

Step-by-step explanation:

She gets $15 per hour so her income is based on her hours, but we don't know what that is yet so, 15x.

She gets a solid $30 every week that is straight forward

To solve the function

150 = 15x + 30

subtract 30 from both sides

120 = 15x

divide 15 from both sides

8 = x

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You got this :)

3 0

2 years ago

Which is a number that can be written as a fraction in the form /?

mel-nik [20]

Answer:

the third one/second one

Step-by-step explanation:

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2 years ago

In the angle below, points B and C are fixed, but AB can rotate in space around BC A If ZABC is always 45° what 3-dimensional sh

inysia [295]

Answer: Choice A) cone

One way to picture this is to think of a propeller. As the propeller spins, it carves out a 3D space even though the blade is "2D" in a sense.

If we spin everything around segment BC, we get a 3D cone forming. The base of the cone is vertical and it has a radius of AC. The height of the cone is segment BC. It might help to rotate the paper 90 degrees clockwise so that BC is vertical.

7 0

3 years ago

Find the value of the trigonometric ratio. make sure to simplify the fraction if needed

kati45 [8]

Answer:

Sin A = o/h

= 9/41

Step-by-step explanation:

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6 0

2 years ago

Suppose that the sample standard deviation was s = 5.1. Compute a 98% confidence interval for μ, the mean time spent volunteerin

NISA [10]

Answer:

The 95% confidence interval would be given by (5.139;5.861)

Step-by-step explanation:

1) Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

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

$\mu$ population mean (variable of interest)

s represent the sample standard deviation

n represent the sample size

2) Confidence interval

Assuming that $\bar X =5.5$ and the ranfom sample n=1086.

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

In order to calculate the critical value $t_{\alpha/2}$ we need to find first the degrees of freedom, given by:

$df=n-1=1086-1=1085$

Since the Confidence is 0.98 or 98%, the value of $\alpha=0.02$ and $\alpha/2 =0.01$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.01,1085)".And we see that $t_{\alpha/2}=2.33$

Now we have everything in order to replace into formula (1):

$5.5-2.33\frac{5.1}{\sqrt{1086}}=5.139$

$5.5+2.333\frac{5.1}{\sqrt{1086}}=5.861$

So on this case the 95% confidence interval would be given by (5.139;5.861) We are 98% confident that the mean time spent volunteering for the population of parents of school-aged children is between these two values.

5 0

3 years ago