Answer:
Two equations that have the same solution are called equivalent equations e.g. 5 +3 = 2 + 6. And this as we learned in a previous section is shown by the equality sign =. An inverse operation are two operations that undo each other e.g. addition and subtraction or multiplication and division. You can perform the same inverse operation on each side of an equivalent equation without changing the equality.
5+3−2=6+2−2
This gives us a couple of properties that hold true for all equations.
The addition property of equality tells us that adding the same number to each side of an equation gives us an equivalent equation
ifa−b=c,thena−b+b=c+b,ora=c+b
The same goes with the subtraction property of equality.
ifa+b=c,thena+b−b=c−b,ora=c−b
As well as it goes for the multiplication property of equality. If you multiply each side of an equation with the same nonzero number you produce an equivalent equation.
ifab=c,andb≠0,thenab⋅b=c⋅b,ora=cb
And naturally this goes for the division property of equality as well. You can divide each side of an equation with the same nonzero number to produce an equivalent equation
ifa⋅b=c,andb≠0,thena⋅bb=cb,ora=cb
This gives us a way to change an equation to our own liking. Anything is acceptable as long as you do the same thing on both sides.
so pretty much what I'm tryna say it x=4
sorry for being so extra-
The.diagram.shows a window in the shape of a square. Each side of the square measures 8(square root sign) 5 centimeters, and the area of.the square is 32x square centimeter, what is the value of x? A.) 5 B.) 10 C.) 20 D.) 40
Answer:
hey you ever find the answer?
Step-by-step explanation:
Answer:
im stuck on the same question.
Step-by-step explanation:
PA-CYBER SUCKS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Janice is roller skating at a constant speed away from her house. The first half of the street is flat, but the second half has a steep upward hill. Janice moves more slowly as she skates up the hill.
Which graph shows Janice's position as she roller skates away from her house?
A. Z
B. X
C. W
D. Y
Answer:
It's Z.
Step-by-step explanation:
Because the road is straight at first, then it gets steep.
which means that the road goes down,
kinda like a drop off.
Answer:
Y moving quicker, then moving slower rate
The area of a rectangle is x²-4x-21
Write down an expression for the width and the length of
the rectangle.
Answer:
Step-by-step explanation:
Area of rectangle= Length x Width
and the given Area is a quadratic expression
A=[tex]x^{2} -4x-21[/tex]
We use the factorization method so,
we need 2 numbers that when multiplied we get -21 and when we add/subtract we get -4 so,
A=[tex]x^{2} -7x+3x-21[/tex]
now we simplify,
A=[tex]x(x-7)+3(x-7)[/tex]
A=[tex](x-7)(x+3)[/tex]
This looks familiar doesn't it, when we write the formula for the area of rectangle its
A= Length x Width and the equation here shows that
A= [tex](x-7)(x+3)[/tex]
So the expression for the length is x-7 and
the expression for the width is x+3 i think u have missed maybe some information on the question as such that the perimeter might be missing because length could be either x-7 or even x+3 same goes for width maybe someone can correct me if im wrong
Please help due Monday
Answer:
1. 43, 45, and 47
2. 50, 52, and 54
3. 47 years old
4. 106 degrees
5. 66 degrees
Step-by-step explanation:
1. Let's assume that the first number in the three consecutive odd numbers is x.
We can write an equation to express this now. [tex]x + (x+2) = (x+4) + 41[/tex].
Combining like terms, we get [tex]2x+2 = x+45[/tex]. Subtracting by (x+2) on each side, we get [tex]x = 43[/tex]. Since the smallest number is 43, we can find the two larger numbers as well, since they are 2 more than one another. Therefore, the numbers are 43, 45, and 47.
2. Let's assume that the first number in the three consecutive even integers is x.
We can write an equation to express this now. [tex]x + (x+2) = (x+4)+48[/tex]
Combining like terms, we get [tex]2x+2 = x+52[/tex]. Subtracting by (x+2) on each side, we get [tex]x = 50[/tex]. Since the smallest number is 50, we can find the two larger numbers as well, since they are 2 more than one another. Therefore, the numbers are 50, 52, and 54
3. We can write his current age in years as x. Next year, his age will be x+1. We know that the sum of his current age and his age next year is 73, so we can write an equation to express this.
[tex]x + (x+1) = 73[/tex]. Therefore, 2x + 1 = 73, or 2x = 72. This means that x = 36, or his current age is 36. In 11 years, his age will be 36 + 11 = 47 years old.
4. [tex](21x+1) + (14x+4) = 180[/tex]. Combining like terms, we get [tex]35x + 5 = 180[/tex] Subtracting by 5 on both sides, we get [tex]35x = 175[/tex] This means that [tex]x = 5[/tex]. Now, we can find the degree measures of both angles and find the larger one. The degree measure of the angle on the left is 21(5) + 1 = 106 degrees, and the degree measure of the angle on the right is 14(5) + 4 = 74 degrees. Therefore, the degree measure of the larger angle is 106 degrees.
5. We know that the sum of the angles in a triangle is 180 degrees. Therefore, we can sum the angles up and equate them to 180 degrees.
(x-24) + (2x-108) + (1/3x+12) = 10/3x - 120 = 180. Adding 120 to both sides, we get 10/3x = 300. Multiplying both sides by 3/10, we get x = 900/10 = 90. Therefore, plugging in x = 90, we get 66 degrees.
Find 3 ratios that are equivalent to the given ratio. 6/9
Answer:
2:3
12:18
18:27
Step-by-step explanation:
Answer:
In order to get equivalent ratios, we can just multiply by a factor! Lets use the factors of 2, 3, 4.
So we have:
[tex]2 * \frac{6}{9}=\frac{2*6}{2*9}=\frac{12}{18}[/tex]
As well as:
[tex]3 * \frac{6}{9}=\frac{3*6}{3*9}=\frac{18}{27}[/tex]
And finally:
[tex]4 * \frac{6}{9}=\frac{4*6}{4*9}=\frac{24}{36}[/tex]
The graph of y = -3x + 4 is:
Answer:
(0,4)
Step-by-step explanation:
Justify each step using property of equality. -6(-p+8) = -6p + 12
Answer: -36
Step-by-step explanation: distribute -6 through the parentheses 6p-48-6p+12 since two opposites add up tp zero remove them from the expression -48+12
ANSWER -36
a number is taken away from 13 and the result is 4 what is the number?
Answer:
9
Step-by-step explanation:
13-9= 4
706.5 - 549.5 divided by 6 | SIMPLIFIEDDD giving 5O POINTS mark BRAINLIEST
Answer: 2.166 repeating
More info
Subtract 706.5 - 549.5
That equals 157.
Divide 157 by 6
You get 2.1666666667, or 2.166 repeating
HELP ASAP!!!WILL GIVE BRANLIST
Answer:
See photo below
I hope this helps!
Answer:
you see the top u take a line and put it right through the 2 top coners and put a line there.
Step-by-step explanation:
Complete the sequence.
37.25, 35.5, 33.75, __, __.
Answer:
37.25, 35.5, 33.75, 32, 30.25.
Step-by-step explanation:
Subtract the first term from the second term:
35.5 - 37.25 = -1.75
Subtract the second term from the third term:
35.5 - 33.75 = -1.75
The common difference is -1.75.
To find each subsequent term, add the common difference to the current term.
33.75 + (-1.75) = 32
32 + (-1.75) = 30.25
Answer:
37.25, 35.5, 33.75, 32, 30.25.
You are given the sample mean and the population standard deviation. Use this information to construct the 90% and 95% confidence intervals for the population mean. Interpret the results and compare the widths of the confidence intervals.
From a random sample of 74 dates, the mean record high daily temperature in a certain city has a mean of 85.22 degrees F. Assume the population standard deviation is 13.97 degrees F.
Answer:
Very confused! at 95% confidence level, the true population mean will be between 134.33 and 145.67.
Step-by-step explanation:
A random sample of 45 home theater systems has a mean price of $140.00
Assume the population standard deviation is $19.40
population standard deviation is 19.40
sample size is 45.
standard error of the sample mean is 19.40 / sqrt(45) = 2.89198
at 90% confidence level, critical z is plus or minus 1.645.
at 95% confidence level, critical z is plus or minus 1.96.
critical raw score will be sample mean plus or minus critical z-score * standard error of the mean.
your sample mean is 140.
your standard error of the mean is 2.89198
at 90% confidence level, your critical raw score will be 140 plus or minus 1.645 * 2.89198.
that becomes 140 plus or minus 4.76 rounded to the nearest penny.
at 90% confidence level, the true population mean will be between 135.24 and 144.76.
at 95% confidence level, your critical raw score will be 140 plus or minus 1.96 * 2.89198.
that becomes 140 plus or minus 5.67 rounded to the nearest penny.
Using the z-distribution, it is found that:
The 90% confidence interval for the population mean is (82.55, 87.89). It means that we are 90% sure that the true population mean is between these two values.The 95% confidence interval for the population mean is (82.04, 88.40). It means that we are 95% sure that the true population mean is between these two values.The higher the confidence level, the higher the critical value is, and thus, a higher confidence level leads to a wider interval.We are given the standard deviation for the population, and thus, the z-distribution is used.
The information is:
Sample mean of [tex]\overline{x} = 85.22[/tex].Population standard deviation of [tex]\sigma = 13.97[/tex].Sample size of 74, thus [tex]n = 74[/tex].A z-confidence interval is given by:
[tex]\overline{x} \pm z\frac{\sigma}{\sqrt{n}}[/tex]
We have to find the critical value, which is z with a p-value of [tex]\frac{1 + \alpha}{2}[/tex], in which [tex]\alpha[/tex] is the confidence level.
For the 90% confidence interval, [tex]\alpha = 0.9[/tex], thus, z with a p-value of [tex]\frac{1 + 0.9}{2} = 0.95[/tex], which means that it is z = 1.645.
Then, the 90% confidence interval is:
[tex]\overline{x} - z\frac{\sigma}{\sqrt{n}} = 85.22 - 1.645\frac{13.97}{\sqrt{74}} = 82.55[/tex]
[tex]\overline{x} + z\frac{\sigma}{\sqrt{n}} = 85.22 + 1.645\frac{13.97}{\sqrt{74}} = 87.89[/tex]
The 90% confidence interval for the population mean is (82.55, 87.89). It means that we are 90% sure that the true population mean is between these two values.
For the 95% confidence interval, [tex]\alpha = 0.95[/tex], thus, z with a p-value of [tex]\frac{1 + 0.95}{2} = 0.975[/tex], which means that it is z = 1.96.
Then, the 95% confidence interval is:
[tex]\overline{x} - z\frac{\sigma}{\sqrt{n}} = 85.22 - 1.96\frac{13.97}{\sqrt{74}} = 82.04[/tex]
[tex]\overline{x} + z\frac{\sigma}{\sqrt{n}} = 85.22 + 1.96\frac{13.97}{\sqrt{74}} = 88.40[/tex]
The 95% confidence interval for the population mean is (82.04, 88.40). It means that we are 95% sure that the true population mean is between these two values.
The higher the confidence level, the higher the critical value is, and thus, a higher confidence level leads to a wider interval.
A similar problem is given at https://brainly.com/question/22596713
how to write number 11 in word form
Answer:
Eleven
Step-by-step explanation:
~I hope I helped you! :)~
Add. Simplify your answer.
4 4
— + — =
9 9
what is the scale factor of the dilation
Answers:
A: 3
B:1/4
C:4
D:1/3
When do we use = and when do we use ~
=
The graph represents the solution set to whatcha inequality?
Answer:
The Answer is C y > -[tex]\frac{4x}{5}[/tex] + 5
Step-by-step explanation:
Graph the inequality by finding the boundary line, then shading the appropriate area such as the graph below
if there ar 10 people in the bus
and 5 get off
and 40 more come in
total people in the bus can be only 30
is the number people in bus more than toatal people or less
Answer:
no there are more people than total people
Step-by-step explanation:
10 - 5 + 40 = 45
45 is frater than 30
hence there are more people than total
Doreen Schmidt is a chemist. She needs to prepare 32 ounces of a 12% hydrochloric acid solutionFind the amount of 16% solution and the amount of 8% solution she should mix to get this solution
Is F=9/5C proportional?
Answer:
No, it is not
Step-by-step explanation:
Answer:
No it is not
Step-by-step explanation:
Which type of data is most appropriate to display in the data below
Ari rents the bike for 4 hours, and Meg rents the scooter for 3 hours. What is the total cost of the rentals?
The Total cost of the bike and scooter
rental is $___
Answer: it’s 66 I got it right
Step-by-step explanation:
Answer:
The answer will be 66 !!
Step-by-step explanation:
The answer will be 66 because if you look at the chart you can see how much money is cost to rent a bike for each hour. So for Ari, as he rented a bike it costs 9 dollars per hour. So Ari rented the bike for 4 hours, so multiply 4x9=36. Now for Meg, she rented a scooter for 3 hours, each hour means 10$. Now 3x10=30, Then just add 36+30 you get 66!
what is the model of 1/4 divided by 3
Answer:
bust a uhhh
Step-by-step explanation:
ya dig
5jx(4628j+92759375738.845647398k)/8664386847j+9464h
Answer:
7657897vhbhjgiyfutvbvgj .jhvbjh76567
Step-by-step explanation:
ilyvlkvlhv8nkbh;k.h
:)
find x,y,and z if AB||CD
Step-by-step explanation:
Hey there!
75° + 28° + angle KFG = 180°( being linear pair)
103° + angle KFG = 180°
angle KFG = 180° - 103°
Therefore, angle KFG= 77°
Now;
angle KFG + 28° +22° + X= 180°{ co-interior angle}
77°+28° + 22°+x= 180°
X = 180°-127°
Therefore, X = 53°
y == X+22°= 75° { being alternate angle}
angle KFG+x+z = 180° {sum of interior angle of triangle}
77°+53° + z = 180°
z = 180° - 130°
z= 50°
Therefore, X= 53°, y = 75° and z= 50°.
Hope it helps...
Dimensions of a rectangular section of forest land are 5.5×10 to the 5th m in 4.2 times complete the following sentences
Answer:
Step-by-step explanation:
2.31x10⁴
At the market, 8 batteries cost $10,
How much do 6 batteries cost?
Answer:
$7.50
Step-by-step explanation:
You can use proportions to find that 8/10 = 6/x
then you can multiply 10 by 6 and divide the result by 8 to get the answer.
You can also divide 10 by 8 to get 1.25 and multiply it by 6, as 10 divided by 8 gives you the unit rate, or the price of each battery. Then you multiply it by 6 to get 7.5, or the cost of 6 batteries.
Hope this helps!
On Friday, the temperature changes -3celsius each hour. If the temperature changed for 7 hours, what is the total temperature change?
Answer:
-21 degrees
Step-by-step explanation:
What is 23.2639 rounded to the nearest hundredth?
Answer:
23.26
Step-by-step explanation:
I hope is helps and I hope you get right but I tried at least.
Answer:
23.26
Step-by-step explanation:
A simple search on rounding calculator and i took the k-12 test and got it right
A market researcher collects a simple random sample of customers from a population of over a million customers that use a home improvement website. After analyzing the sample, she states that she has 95% confidence that the mean time customers spent on that website per day is between and minutes. Suppose that the population mean time customers spent on that website is minutes a day. Does this value of the population mean help to show that the confidence interval estimate is correct? Explain.
Answer:
No, because the population mean, μ, is not included within the confidence interval estimate.
Step-by-step explanation:
A (1 - α)% confidence interval for a population parameter can be used make inferences about a statistic test of the parameter.
Decision rule:
If the null value of the population parameter is included in the interval then the null hypothesis will not be rejected. And vice-versa.
In this case, a market researcher wants to determine whether the population mean time customers spent on that website is 13 minutes a day or not.
The hypothesis can be defined as follows:
H₀: The population mean time customers spent on that website is 13 minutes a day, i.e. μ = 13.
Hₐ: The population mean time customers spent on that website is different from 13 minutes a day, i.e. μ ≠ 13.
The 95% confidence interval that the mean time customers spent on that website per day is, (15, 50).
The 95% confidence interval for the population mean time does no consist of the null value. Thus, the null hypothesis will be rejected.
It can be concluded that the population mean time customers spent on that website is not 13 minutes. Since the 95% confidence interval consist of values more than 13 minutes, it can be said that the mean time customers spent on that website is more than 13 minutes.
Thus, the answer is:
No, because the population mean, μ, is not included within the confidence interval estimate.
