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Answer:
(a) 1. Distributive property 2. Combine like terms 3. Addition property of equality 4. Division property of equality
Step-by-step explanation:
Replacement of -1/2(8x +2) by -4x -1 is use of the distributive property, eliminating choices B and D.
In step 3, addition of 1 to both sides of the equation is use of the addition property of equality, eliminating choice C. This leaves only choice A.
_____
Additional comment
This problem makes a distinction between the addition property of equality and the subtraction property of equality. They are essentially the same property, since addition of +1 is the same as subtraction of -1. The result shown in Step 3 could be from addition of +1 to both sides of the equation, or it could be from subtraction of -1 from both sides of the equation.
In general, you want to add the opposite of the number you don't want. Here, that number is -1, so we add +1. Of course, adding an opposite is the same as subtracting.
In short, you can argue both choices A and C have correct justifications. The only reason to prefer choice A is that we usually think of adding positive numbers as addition, and adding negative numbers as subtraction.
Answer:1. Distributive property 2. Combine like terms 3. Addition property of equality 4. Division property of equality
Step-by-step explanation:
PLEASE HELP NOW
write and solve an equation to find the value of X. please explain in details and show your work!
Answer:
Solution=96°+x+35°
=x+96°+35°
=x=96°-35°
=x=61°
mathematics geniuses where are you ? help me answer this question please.
Step-by-step explanation:
There is 7 blocks that measure is 12.0-12.2
11 blocks that measure 12.2 to 12.4
18 blocks that measure 12.4 to 12.6
10 blocks that measure 12.6-12.8
4 blocks that measure 12.8 to 13.0
We can't find a mean by with Intervals so let find the midpoint of each interval,
12.1, 12.3, 12.5, 12.7, 12.9.
12.1 occurs 7 times so that equal 12.1 x 7=84.712.3 occurs 11 times so that equal 12.3 x 11=135.312.5 occurs 18 times so that equal 12.5x18=22512.7 occurs 10 times so that equal 12.7x10=12712.9 occurs 4 times 12.9×4=51.6Add up the products and divide them by 50
[tex]\frac{623.6}{50} = 12.472[/tex]
Standard Deviation is
0.23( it is alot of steps so I use a calculator to save time).
The interqualtie range is 0.4
6 less than 8 times a number (x) is equal to 14
Answer:
8x-6=14
Step-by-step explanation:
Whenever you see less next to a number, you know it's gonna be -6. If it said 6 minus 8x though, then you would do 6-8x etc. Hope this helped.
PLS HELPPPPPPPPPppppppp
4v + 1) + v = 5(v - 1) +9
Answer:
Step-by-step explanation:
4(v+1)+v=5(v-1)+9
distribute
4v+4+v
which is
5v+4=5v-5+9
5v+4=5v+4
No solution is the answer
solve for x of the given angle
Answer:
m<ABC = 92
Step-by-step explanation:
(3x + 23) and 4x are equal angle wise. So we have the equation:
(3x + 23) = 4x
3x = 4x - 23
-x = -23
x = 23
Multiply x by 4 which is 92
Let A = {a, b, c, d}, B = {a, c, d, e}. Let f : A → R and g : B → R such that f = {(a, 1),(b, 2),(c, 2),(d, 4)} and g = {(a, 0),(c, 4),(d, 8),(e, 0)}. State the domain and find: f/g
Answers:
Domain = {c, d}f/g = { (c, 1/2), (d, 1/2) }============================================================
Explanation:
The domain of f: {a,b,c,d} which is drawn from set A.
The domain of g: {a,c,d,e} which is drawn from set B
So far, we can see the possible inputs are: a,b,c,d,e
Let's go through each lowercase letter of the given sets
If 'a' is plugged into f/g, then we'll have 0 in the denominator due to the ordered pair (a,0) in function g. This causes a division by zero error so the input 'a' is not allowed in the domain of f/g.If we tried b, then it would work for function f, but it doesn't work for function g. If we tried to compute g(b), then the result is undefined. This is because the lowercase b input is not found in set uppercase B which is where function g selects its inputs from. So b is eliminated.The input c does work however. f(c) = 2 because of the ordered pair (c,2) in the function f. Similarly, g(c) = 4. This means f/g = 2/4 = 1/2 when the input is c. This shows that c is a valid input in the domain of f/g.The input d is pretty much the same story as input c. Moreover, the input d leads to the same output as c does. This time we have f/g = 4/8 = 1/2 when the input is d. Therefore, d is another valid input in the domain of f/g.The input e is not valid because (e,0) will lead to a division by zero error, as it's part of the g(x) function. So we must eliminate 'e' as a valid option in the domain. Even if we didn't have a division by zero error, we still have the fact that 'e' is not in the domain of the first function f. This is another reason why f/g is not defined when the input is 'e'.To summarize, only inputs c and d are valid in the domain.
The domain is the set {c, d}
Both inputs in the domain lead to the output 1/2. This means the range of f/g is {1/2}. Despite having just one element inside, we must use curly braces to indicate we have a set.
The function f/g is { (c, 1/2), (d, 1/2) }
We simply list all of the (x,y) ordered pairs to describe the function. In this case, there are only two such pairs.
Factor x^2+x+6
Plz help
Answer:
2
Step-by-step explanation:
If there are 2.54 centimeters in 1 inch, how long in inches is a meter stick? Hint: There are 100 centimeters in 1 meter. Round your answer to the nearest hundredth.
Answer:
i dont know that well but i do know 1 meter is roughly 2ft, so id say about 25.5 inches
0.01 inch is the length of a meter stick.
To find the length of a meter stick in inches, we can use the conversion factor:
1 meter = 100 centimeters
1 inch = 2.54 centimeters
We can set up the proportion:
1 meter / 100 centimeters = x inches / 1 inch
Cross-multiplying:
1 meter × 1 inch = 100 centimeters × x inches
x = (1 meter × 1 inch) / (100 centimeters)
x = 1 inch / 100
x = 0.01 inch
To learn more on Conversion factor click:
https://brainly.com/question/32020768
#SPJ6
PLEASE HELP WITH THE SCREENSHOT BELOW
Answer:
32.8
Step-by-step explanation:
well you need to use soh cah toa. so here we would use sin since we get an opposite side and a hypotenuse. so 45/83 would give us the sin of the sides but since we need to find the angle we take the sin inverse which gives us 32.83139231 which rounds to 32.8
Complete the equation. (x-2)(x^2 + 2x + 4) = ( , )
Answer:
Step-by-step explanation:
x(x² + 2x + 4)-2((x² + 2x + 4)
x³+2x²+4x -2x²-4x-8
x³-8
PLEASEEE HELP!!!!!!!
Temperatures in Verkhoyansk, Russia have been recorded as low as -90°F and
as high as 98°F. What is the difference between the highest and lowest recorded
temperatures in Verkhoyansk?
Solve 2/5 x + 1/2 = 5/6
Answer:
5/6
Step-by-step explanation:
I'm assuming the x in your equation is used as a variable.
5/6-1/2= 2/6=1/3
2/5x=1/3
x=5/6
Barry is checking his bank account for a few transactions that he completed. He had $230
in his account to start and then contributed a check for $360. He paid his water, electric and
cable bill, which were $100, $46 and $107. How much money is in his bank account?
A. $253
B. $383
C. $590
D. $337
Answer:
D.
Step-by-step explanation:
$230 + $360 = $590
$590 - $253* = $337
$337
*( total sum of all the bills )
I need help ASAP whit this question
Answer:
B. 7
Step-by-step explanation:
The original box must be 1 by 1 by 1.
So then the new box would be 2 by 2 by 2.
2×2×2=8
8-1=7
I hope this helps!
pls ❤ and mark brainliest pls!
If y= 2x+3, find the value of y when x= 2.
Answer:
7
Step-by-step explanation:
subtitue x=2 in given equation as:
y= 2(2)+3
y= 4+3
y=7
A number is multiplied by 16, and that product is added to 4. The sum is equal to the product of 4 and 9. Find the number.
Answer:
The number is 2
Step-by-step explanation:
x * 16 + 4 = 9*4
x * 16 + 4 = 36
x * 16 + 4 - 4 = 36 - 4
x * 16 = 32
x * 16 / 16 = 32 / 16
x = 2
Answer:
The number is 2
Step-by-step explanation:
let the number be "a"
16a+4=4×9
16a+4=36
16a=36-4
16a=32
a=2
if SP is equal to rupees 400 and loss percent is 20% find CP
100-20=80%=400
[tex]\\ \rm\longmapsto 80\%\:of\:CP=400[/tex]
[tex]\\ \rm\longmapsto CP=400\times \dfrac{100}{80}[/tex]
[tex]\\ \rm\longmapsto CP=5(100)[/tex]
[tex]\\ \rm\longmapsto CP=500[/tex]
Step-by-step explanation:
Given,
S.p.=Rs400
Loss percent(L%) =20%
C.p.=?
We know,
S.p. =(100-L) % of c.p.
or,400=(100-20)% *c.p.
or,400=80% *c.p.
or, 400=80/100*c.p.
or,c.p.=Rs.500
Here, c.p.=Rs.500
Add or Subtract: show all written work 30 POINTS!!
Answer:
I hope it helped U
stay safe stay happy
this isn’t a question but to everyone who’s actually good at math thank you so much for taking the time to answer these questions.
Answerurdsrd d e
Step-by-step explanation:
The following dotplot shows the centuries during which the 11 castles whose ruins remain in Somerset, England were constructed. Each dot represents a different castle.
According to the 1.5.IQR rule for outliers, how many high outliers are there in the data set?
Choose 1 answer:
Taking into account the rule 1.5 IQR, there aren't high outliers in the displayed data set.
Calculation of the Interquartile Range and the rule 1.5 IQR.
To calculate the Interquartile Range IQR, you must subtract the value of the first quartile Q1, to the third quartile Q3, as you can see in the formula below:
IQR = Q3 - Q1Using the five-number summary, you can replace the formula:
IQR = 17 - 13IQR = 4Before to apply the rule 1.5 IQR, you must multiply the IQR by 1.5:
4 * 1.5 = 6Now, to apply the rule you must add the value obtained (6), to the third quartile (17), if any data is over this, theoretically it's an outlier:
17 + 6 = 23 (As you do not have any data over this value, it is identified that there are no outliers in the upper section).Finally, you must subtract the value obtained (6) to the first quartile (13), if any data is under this, theoretically it's an outlier:
13 - 6 = 7 (Since you don't have any castle data built before this century, there wouldn't be any theoretically outliers either).By this reason, using the rule of 1.5 IQR, you can see there aren't outliers in the displayed data set.
If you want to study more exercises using data sets, you can see this link https://brainly.com/question/16445367?referrer=searchResults
Answer:
The answer is 0
Step-by-step explanation:
It said it was right on khan!
What is the coefficient of the x-term in the expression 4x+5xy-2y
Which of the following fractions converts to a repeating decimals
Step-by-step explanation:
The answer is a option.
hope it helps
185 for 4 tickets whats the price per ticket
Based on the table which college expenses would you consider fixed and which expenses would you consider variable? Why?
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Answer:
fixed: tuition, room, mealsvariable: books, personal, transportationStep-by-step explanation:
"Fixed" expenses are ones that don't change. They stay the same from year to year. Those would include ...
Fixed
tuition and fees: $4640room and board: $10,304campus meal plan: $3998"Variable" expenses are ones that change depending on circumstances. Those would include ...
Variable
books and supplies: $1500 to 2500personal expenses: $3000 to 4600transportation: $0 to 800Use the Distributive Property to multiply. 2(b – 7)
Answer:
2b - 14
Step-by-step explanation:
2(b – 7)
2b - 14
Answer:
[tex]2b-14[/tex]
Step-by-step explanation:
Using the distributive property, [tex]2(b-7)[/tex] can be written as [tex](2\cdot b)-(2\cdot7)[/tex] which solved/simplified is [tex]2b-14[/tex]
Man, it's late! Well, hope this helped you out and answered your question!
Can someone pls help me pls
Answer:
your fractions will go in order of 1/4, 2/5, 5/8, 4/6
Step-by-step explanation:
a. 2/5 < 1/2 and 4/6 > 1/2 so 2/5 < 4/6
b. 5/8 > 1/2 and 1/4 < 1/2 so 5/8 > 1/4
c. 4/6 > 1/2 and 4/6 < 2/2 and 5/8 > 1/2 and 5/8 < 2/2 and 5/8 ?? cannot see this
Find the area of each shaded region. Show your reasoning.
maybe we could answer if there waas a pic=]
A shop in the mall is 6 yards by 11 yards. How much would it cost to recarpet the shop with carpet that costs $5.00 per square yard?
Answer:
$330
Step-by-step explanation:
To find the total area of the shop do 6 times 11
6*11 = 66 sq. yards
Now, do 5 * 66 because one yard is $5
5 * 66 = 330
It costs $330
How many cubes of side 2cm can be fitted into a box 12 cm long, 8cm wide and 4cm high?
Answer:
there are 48cubes fetted into a box
