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Fiesta28 [93]
3 years ago
15

4(2x - 5) + 15 = 11 Write the steps you will use to solve the equation and explain each step.

Mathematics
2 answers:
vagabundo [1.1K]3 years ago
6 0
First, multiply 4*2x-4*-5= 8x-20.
Second, add 15 to 8x-20
Third, that would equal 8x-20+15=11 
Fourth, 15+-20= -5 
Fifth, 8x-5=11
Sixth, add +5 to -5 and +5 to 11= 8x=16 
Last, do 8x/8x and 16/8x 
The answer is x=2
amid [387]3 years ago
3 0
8x-20+15=11
8x+15=11+20
8x+15=31
8x=31-15
8x=16
X=2

First, add 20 to both sides
Simplify
Subtract 15 from both sides
Simplify
Divide 8 from both sides
Simplify
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Find the circumference of the circle in terms of pi
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It's 78π inches so probably d.
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Whats 9+10? dont answer wrong
ozzi

19

Step-by-step explanation:

when we add 9 and 10 we will get sum 19

4 0
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A factory produce bicycles at a rate of 110+0.5t^2-0.9t bicycles per week (t in weeks)
klasskru [66]

Answer:

221

Step-by-step explanation:

Day 8 is the first day of the second week.

Day 21 is the last day of week 3.

We need to know the n umber of bicycles made from t = 1 to t = 3

The function is b(t) = 110 + 0.5t^2 - 0.9t, where t is in weeks.

We need to integrate the function with the limits of 1 to 3.

\int_{1}^{3} (110 + 0.5t^2 - 0.9t) dt

\int_{1}^{3} (110 + \dfrac{t^2}{2} - \dfrac{9t}{10}) dt

= 110t + \dfrac{t^3}{6} - \dfrac{9t^2}{20} \Biggr|_{1}^{3}

= 330.45 - 109.72

= 220.7333

Answer: 221

3 0
3 years ago
If Triangle ABC is rotated 90 degrees clockwise about the origin, what will be the new coordinates of vertex B?
quester [9]

Answer:

ithe answer to your question is going to be c

6 0
3 years ago
A product comes in cans labeled "38 oz". A random sample of 10 cans had the following weights:
KiRa [710]

Answer:

b. 35.9, 39.1 ounces

Step-by-step explanation:

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".

barX=37.465 represent the sample mean for the sample  

\mu population mean (variable of interest)

s=2.27 represent the sample standard deviation

n=10 represent the sample size

Confidence interval

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

barX +- t*[(s)/(sqrt{n))]   (1)

In order to calculate the critical value t we need to find first the degrees of freedom, given by:

df=n-1=10-1=9

Since the Confidence is 0.95 or 95%, the value of alpha=0.05 and \alpha/2 =0.025, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.025,9)".And we see that t_(alpha/2)=2.26

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

37.465-2.26[(2.27)/(sqrt{10))]=35.9    

37.465+2.26[(2.27)/(sqrt{10))]=39.1

So on this case the 95% confidence interval would be given by (35.9;39.1)    

7 0
3 years ago
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