Answer:
[tex] \huge{ \fbox{ \sf{7x - 20}}}[/tex]
Step-by-step explanation:
[tex] \star{ \sf{ \: 5(3x - 4) - 8x}}[/tex]
[tex] \text{Step \: 1 \: : Distribute \: 5 \: through \: the \: parentheses}[/tex]
[tex] \mapsto{ \sf{5 \times 3x - 5 \times 4 - 8x}}[/tex]
[tex] \mapsto{ \sf{15x - 20 - 8x}}[/tex]
[tex] \text{Step \: 2 \: : Collect \: like \: terms}[/tex]
[tex] \sf{Like \: terms \: are \: those \: which \: have \: the \: same \: base.}[/tex]
[tex] \mapsto{ \sf{15x - 8x - 20}}[/tex]
[tex] \mapsto{ \boxed{\sf{7x - 20}}}[/tex]
[tex] \sf{Hope \: i \: helped!}[/tex]
[tex] \sf{Best \: regards!!}[/tex]
~[tex] \rm{TheAnimeGirl}[/tex]
How can you write and solve equations and inequalities.
Answer:
1.) You my add any positive or negative number to both sides of an inequality.
2.) You may multiply or divided both sides of an inequality by any positive number.
Step-by-step explanation:
*Hope this helped*
The procedure is summarized in three steps: 1) Write expressions, 2) Simplify/reduce expressions, 3) Solve for each variable.
The procedure of Writing and Solving Equations and Inequalities: is described below:
1) Write a number of Equations with same quantity of Variables, in order to solve the System.
2) Use Algebra properties to Simplify and Reduce the number of Expressions.
3) Solve for each reduced Expression.
Please see this question related to Equations: https://brainly.com/question/8743486
Consider the segment AB with A positioned at (6,2). The midpoint of AB, M is located at (5, -3). What are the coordinates of point B? * O (7,7) O (4,-8) O (5.5, -0.5) O (4,5)
Answer:
I didn't "do the math" yet at all, but draw it out on an X,Y axis... Thinking about it logically... If point A is in the upper right quadrant of the axis, because both X and Y coordinates are positive numbers, so you go right on the horizontal axis and up on the vertical axis... Then the midpoint is in the lower right quadrant of the due to the X coordinate being a positive, thus you go right on the horizontal axis, but the Y coordinate is a negative, so you go down vertically... So point B cannot be above both the midpoint or point A, ruling out (7,7) and (4,5) as both Y coordinates of those answers (7 or 5) are higher than point A's Y coordinate of 2... B would have to be below point A because the midpoint is below point A with a Y coordinate of -3... So this leaves either option (5,-0.5) or option (4,-8)... However.... While (5,-0.5) has a lower Y coordinate than point A with -0.5, its Y coordinate is above the Y coordinate of the midpoint as well, since -0.5 is above -3... So this doesn't jive as point B cannot be between point A and the midpoint to point B... This logically leaves (4,-8) left to be the answer... And if you drew on an X,Y axis the coordinates (6,2) as well as (5,-3) and (4,-8), then connect the dots, you'd find (5,-3) sits about half ways between (6,2) and (4,-8)...
So (4,-8) is probably the answer...
The best way to come to this conclusion mathematically is finding the slope (rise over run) of point A and the midpoint between point A and point B, then continuing the slope down, etc... But this particular question with the multiple choice answers ruled all but 1 answer out...
To find the slope you take rise over run, which is the Y of the 2nd coordinate minus the Y of the 1st coordinate, divided by (or over) the X of the 2nd coordinate minus the X of the 1st coordinate....
IE: ( Y2 - Y1 ) / ( X2 - X1 ) = Rise / Run
So.... The 2nd coordinate's Y value is -3, and the 1st coordinate's Y value is 2... Subtract 2 from -3, and you get -5...
Then the 2nd coordinate's X value is 5, and the first coordinate's X value is 6... Subtract 6 from 5, and you get -1...
Divide -5 over -1, which equals the same as 5 over 1... The rise is 5, the run is 1, the slope is 5 steps vertically for every 1 step horizontally...
Or visually... ( -3 - 2 ) / ( 5 - 6 ) which is -5 / -1... Since both sides are negative, that's the same as 5 / 1... which is 5 vertical steps (rise) for every 1 horizontal step (run), or a slope of 5...
So add the slope rise of 5 to the Y coordinate of the midpoint, -3, and you get 2, which is the Y coordinate of point A... And add slope run of 1 to the midpoint X coordinate, 5, and you get 6, the X coordinate of point A... Now subtract the slope rise of 5 from the midpoint, -3, and you get -8... So that tells you that point B has to have a Y coordinate of -8.... And now subtract the slope run of 1 from the midpoint X coordinate, 5, and you get 4... The X coordinate of point B... Giving you a point B coordinate of (4,-8)...
You are at a rate of pay for $24.00/hour. You work a 32 hour work week. What is your gross pay?
Can someone help me with this simple math problem, you can easily get points if you know the answer correctly. Also I will mark whoever can answer this correctly brainest or whatever you call it. -Thank You
Answer:
RATIONAL
Step-by-step explanation:
Answer:
NOT RATIONAL
Step-by-step explanation:
State the leading coefficient of the polynomial:
f(x) = 6x^5 + 9x^4 + 2x^3 + 3x^2 - 4x -6
Answer:
The leading coefficient of the polynomial is 5 .
Step-by-step explanation:
f(x) = 6x^5 + 9x^4 + 2x^3 + 3x^2 - 4x -6
In this polynomial , the highest exponential is the leading coefficient .
So there are 5 coefficients ,
5 , 4 , 3 , 2 , and x
so above , the highest one is 5 .
What is the sum and classification of 3/20 + the square root of 10 and is it rational
Answer:
The correct option is 1
Step-by-step explanation:
Given the number . we have to identify the number is rational or irrational
As we know is irrational
i.e
The above number is irrational as it is non repeating and non-termination number after decimal.
As the sum of a rational and an irrational must be irrational
∴ is irrational which gives the sum 3.31227766....
hence, the correct option is 1)
Evaluate the expression when a= - 7 and y= 2 a-2y
Answer:
j=7
Step-by-step explanation:
the length of side AB is twice the length of side AC. Write an expression for the perimeter of the triangle
P = 3AC + BC
Step-by-step explanation:AB = 2AC
P = AB + AC + BC
replace AB
P = 2AC + AC + BC
P = 3AC + BC
Locate the easternmost trade route, which runs from the southern tip of what is
now Florida north to the Wampanoag territory. How long, in miles, was this route?
Answer:
____________
is it 1700 miles ?
Looking at the labeled information in the figure below, create a statement that details a pair of angles (not already labeled) that are congruent because of corresponding parts of congruent
triangles
(Name the vertices in each angle in alphabetical order)
B
A
lion dose
Answer:
In triangles ΔBAE and ΔCED, which are congruent triangles, ∠ DBA is congruent to ∠CDB because corresponding parts of congruent triangles are Congruent, (CPCTC)
Step-by-step explanation:
The given information are;
In triangle ΔBAE and ΔCED, ∠EAB Alternate angles)is congruent to ∠ECD (
∠CED is congruent to ∠AEB (Vertically opposite angles)
Segment [tex]\overline {BA}[/tex] is congruent to segment [tex]\overline {DC}[/tex] (Given)
Therefore;
Triangle ΔBAE is congruent to ΔCED (Angle Angle Side AAS congruency rule)
Therefore, ∠ DBA is congruent to ∠CDB (Corresponding Parts of Congruent Triangles are Congruent, (CPCTC))
For each incorrect answer on a test, the teacher changes the total points possible by - 3
points. The total number of points possible on a test is 64. If a student has 8 incorrect
answers, what will be that student's score?
Answer:
40
Step-by-step explanation:
You would mutiply 8 times -3 and you would get -24 and 64 + (-24) = 64 - 24 which equals 40
The student's score on the test will be 40.
How to form an equation?Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.
In other words, an equation is a set of variables that are constrained through a situation or case.
Let's say the mark for the correct answer is x
Then,
Correct marks(score) + incorrect marks = total marks
x + incorrect marks = total marks
x = total marks - incorrect marks
Now,
Total marks = 64
Incorrect marks = 8(3) = 24
So,
x = 64 - 24 = 40.
Hence "The student's score on the test will be 40".
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Abed says he has written a system of two linear equations that has an infinite number of solutions. one of the equations of the system is y=3x-1. which could be the other equation?
Answer:
[tex]ay=3ax-a[/tex]
Step-by-step explanation:
to have an infinite number of solutions it must be the same line
so the other equation must be
[tex]ay=3ax-a[/tex]
fo [tex]a[/tex] a known value
Answer:
c
Step-by-step explanation:
edge 2020 Dec 9
Ralph’s current annual income is $32,000. Using the graph shown below, Ralph has calculated that he will have to pay a total of $9,280 in federal taxes this year. Which of the following statements is true?
Answer:
c
Step-by-step explanation:
Ralph’s calculation is too high, as his calculation includes state taxes option (b) is correct.
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
It is given that:
Ralph’s current annual income is $32,000.
Total of $9,280 in federal taxes this year.
32000(0.24) = x
7680 = x
Thus, Ralph’s calculation is too high, as his calculation includes state taxes option (b) is correct.
a.
Ralph’s calculation is too high, he has only calculated state taxes.
b.
Ralph’s calculation is too high, his calculation includes state taxes.
c.
Ralph’s calculation is correct, he will have to pay $9,280 in federal taxes this year.
d.
Ralph’s calculation is too low, he did not include medical care in his calculation.What is gross pay.
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3k + 3n = 3(k+n)
is this
association axiom for addition or multiplication
Answer:
Yes it is ✔️✔️✔️
Axiom for multiplication
hope this helps uh
Gracie can iron 3 shirts in 13 minutes. At this rate, how long will it take her to iron 10 shirts? Which proportion shows how to solve the problem?
Answer:
43 1/3 minutes to iron 10 shirts
Step-by-step explanation:
Number of shirts : Time taken
3 shirts : 13 minutes
10 shirts : x minutes
3 / 13 = 10 / x
Cross product
3 * x = 13 * 10
3x = 130
Divide both sides by 3
3x / 3 = 130 / 3
x = 43 1/3 minutes
x = 43 minutes 20 seconds
It will take 43 minutes 20 seconds to iron 10 shirts
Find the value of 15-8 divided by 2
15-4=11
Step-by-step explanation:
Answer:
it’s 11 hun
Your school is 20 blocks east and 12 blocks south of your house. The mall is 10 blocks north and 7 blocks west of your house. You plan on going to the mall right after school. Find the distance between your school and the mall assuming there is a road directly connecting the school and the mall. One block is 0.1 mile. Round your answer to the nearest tenth of a mile.
Your school is 20 blocks east and 12 blocks south of your house. The mall is 10 blocks north and 7 blocks west of your house. You plan on going to the mall right after school. Find the distance between your school and the mall assuming there is a road directly connecting the school and the mall. One block is 0.1 mile. Round your answer to the nearest tenth of a mile.
Answer:
3.5 miles
Step-by-step explanation:
The straight line distance from the school to the mall is found using the Pythagorean theorem. That distance is the hypotenuse of a triangle that is 27 blocks in the east-west direction and 22 blocks in the north-south direction.
d = √(27^2 +22^2) = √1213 ≈ 34.83 . . . blocks
Since each block is 0.1 miles, the distance in miles is ...
distance to mall = (0.1 miles/block)(34.83 blocks) = 3.483 miles
Rounded to tenths, the distance from school to mall is 3.5 miles.
solve: 3e-18=4(-3 - 3/4e)
Answer:
Step-by-step explanation:
3e - 18 = -12 - 3e
6e - 18 = -12
6e = 6
e = 1
In Juneau, Alaska, the temperature was -15°F in
the afternoon. As a cold front approached, the
temperature dropped 9°F. What was the final
temperature after the cold front?
On Wednesday, I bought 8 more pieces of candy. By sunday, half of the candy was taken by my sister and there were 22 pieces left. How many pieces of candy did I start with?
Answer:
52
Step-by-step explanation:
22 times 2 plus 8 is 52
maria brought a blouse on sale for 20% off. the sale price was $21.76. what was the original price? round to the nearest hundredth.
Answer: $27.20
Step-by-step explanation:
She bought a blouse for 20% off so it means that she paid 80% of the original price.We can then set up the equation
80% of x = 21.76 where x is the original price so solve for x
0.8x = 21.76
x = 27.20
Which means the original price is $27.20
You buy a watch for $60. There is a 6% sales tax. What is your total cost for the
watch?
Answer:
$63.3
Step-by-step explanation:
You buy a 60 dollar watch.
60
There is a 6 percent tax. When adding tax, multiply the 6 percent by the original amount.
60 x 0.06
3.6
Add the tax to the original amount.
60 + 3.6 = 63.3
So, your total cost is 63.3 dollars.
Answer:
$63.60
Step-by-step explanation:
3/4 is 1/3 of what number? Write a division expression to match this expression
What is the value of y ?
Answer:
y = 80
The opposite angle of y is 80.
Rewrite the decimal fraction as a decimal number.
8 25/1,000
82.5
8.025
8.25
8.0025
Answer:
8.025
Step-by-step explanation:
If you count the zeros in 1000, it's three. Count three starting from the back of 25. Add 0 in front of 25 to make it a three digit number. You then put the decimal point with the whole number.
Answer:
B. 8.025
Step-by-step explanation:
Hope it helped!
4x-2(x+3)=5(x-3) do y’all know the answer ?
x=3!!!!!!!!!!!!!!!!!
What is the reasoning in the Proof? PLEASEee helppp I’m Stuckkk
Answer:
systemetic property
hope it is helpful for you
Step-by-step explanation:
please follow and mark braniest
what is bigger 5.6% or square root of 27
square root of 27 is bigger.
What is percentage ?
In math, one percent is equal to a hundredth part; thus, 100 percent represents the entire amount and 200 percent specifies twice that amount
First calculating square root of 27 :
[tex]\sqrt{27}=5.196[/tex]
and 5.6 % is 0.056
clearly [tex]\sqrt{27}[/tex] is greater than 5.6%
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what is the answer to x/-4 <16
[tex]\frac{x}{-4} < 16[/tex]
16 yı karşıya at;
x/-4-16<0
(-x-64)/4<0
-x-64<0
-64<x
x>-64
Answer:
x > −64
I hope this helps!
If Ben ran 6 miles a day for twenty-eight days, how many total miles did he
run?
All we need to do is multiply.
6 miles * 28 days = 168 total miles ran in 28 days.
Therefore, the answer is 168 miles
Best of Luck!