Answer:
x=10
Step-by-step explanation:
Simplifying 3x + 8(2x + -6) = 2 + 14x
Reorder the terms: 3x + 8(-6 + 2x) = 2 + 14x 3x + (-6 * 8 + 2x * 8) = 2 + 14x 3x + (-48 + 16x) = 2 + 14x
Reorder the terms: -48 + 3x + 16x = 2 + 14x
Combine like terms: 3x + 16x = 19x -48 + 19x = 2 + 14x
Solving -48 + 19x = 2 + 14x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-14x' to each side of the equation. -48 + 19x + -14x = 2 + 14x + -14x Combine like terms: 19x + -14x = 5x -48 + 5x = 2 + 14x + -14x
Combine like terms: 14x + -14x = 0 -48 + 5x = 2 + 0 -48 + 5x = 2
Add '48' to each side of the equation. -48 + 48 + 5x = 2 + 48
Combine like terms: -48 + 48 = 0 0 + 5x = 2 + 48 5x = 2 + 48
Combine like terms: 2 + 48 = 50 5x = 50
Divide each side by '5'. x = 10
Simplifying x = 10
In 2 - 4 sentences explain where you might see and use scale factoring in your everyday life and how it is useful.
Answer:
2-4--2
Step-by-step explanation:
Answer:
An example of scale factoring that could be used in everyday life is when modeling. When modeling and object you don't make it, for example, 10 feet because that cannot fit on a computer screen. So when on a computer you see a much smaller-scale version.
Which Rectangular Prism has the largest volume?
A.Pink One
B.Blue One
C.Neither, they have the same volume
Answer:
C: Neither, they have the same volume
Step-by-step explanation:
the pink and the blue are both the same.
The blue is just the pink but lying flat on the ground.
You can tell by counting the sides and seeing that they have the exact same perimeter. <3 <3 <3
QUICK! Find the area of the smallest square in the diagram.
A) 25 square feet
B) 5 square feet
C) 313 square feet
D) 13 square feet
Answer:
313 square feet
Step-by-step explanation:
313 square feet
Answer:
A) 25
Step-by-step explanation:
sides of top square are all 13 and sides of bottom square are all 12
we now have the hypotenuse (13) and another side length of the triangle (12) using a^2+b^2=c^2 we can find the side of the square then its area.
144+b^2=169
b^2=25
b=5, which means the smallest square's sides are all 5 making it have an area of 25
Enter 52.16 in expanded form.
Answer:
50 + 2 + 0.1 + 0.06
simplify the expression where possible. (6^3)^-3
Answer:
\(( {6}^{3} ) {}^{ - 3} \\ = \frac{1}{( {6}^{3}) {}^{3} } \\ \\ = \frac{1}{ {6}^{9} } \\ \\ = {6}^{ - 9} \)
Answer:
6^-9
Step-by-step explanation:
the answer is proved above
What is the rate change of this function
I have an idea of what it is, but I would like to make sure I'm correct.
Answer:
0.5
Step-by-step explanation:
divide the change in y (output) by the change in x (input)
Answer it pls and no memes
Answer:
There's two of them, of which are the 3rd and 5th option
Step-by-step explanation:
The formula for calculating a prism is length times width, times the height because it is a 3d object. Length times width is the same as B(base), so those two are the exact same. Don't let that fool you.
Here's a little abstract context:
You've got one loaf of bread right? Well, pretend it's 3 inches by 4 inches. You have one slice, one layer, with 12 inches squared as its area. To make it a loaf, you stack the layers up by multiplying that slice of bread by the value of h.
A group of friends was working on a student film. They spent $650 on equipment, which was 65% of their total budget. What was the total budget for their student film?
1,072.5
work to prove:650 x .65 = 422.5
650 + 422.5 = 1,072.5
A city has an elevation of -17 meters closer to sea level than a city that has an elevation of -40 meters. Agree or Disagree? Why?
pls help me answer this
Look at the circle below.
∠ABC is 1/3 of a full turn.
How many degrees does ∠ABC measure?
Choose 1 answer:
A. 45 degrees
B. 120 degrees
C. 180 degrees
The answer is B.
it would be 119.99 but obviously round I bc there's too much 9.
simplify: (please explain too)
6/(4-√5)
Answer:
(24/11) + (6√5) / 11
Step-by-step explanation:
first of all, multiply top and bottom by (4 + √5).
6/(4 - √5) X (4 + √5)/(4 + √5)
= 6(4 + √5) / (4 - √5)(4 + √5)
= (24 + 6√5) / (16 + 4√5 - 4√5 -(√5)²)
= (24 + 6√5)/ (16 - 5)
= (24 + 6√5) / 11
= (24/11) + (6√5) /11
we are multiplying out the brackets, then simplifying it all. the number on the bottom (denominator) will become an integer. keeping it in format
(24 + 6√5) /11 is fine too. ie last line is not always required
For each ride, a taxi service charges an initial fee plus an additional fee based on the number of kilometers of the trip. The graph shows the cost for taxi rides. Select a true statement. The rise is 4 while the run is 2. The selection of answers are:
A: The slope is 2.1. This means that each kilometer costs $2.10.
B: The slope is 5. This means that each kilometer costs $5.
C: The y-intercept is 2.1. This means that the initial fee is $2.10.
D: The y-intercept is 5. This means that the ride lasts 5. kilometers.
Which one is right and why?
THIS MIGHT NOT BE WHAT YOU ARE LOOKING FOR AND MIGHT NOT BE CORRECT! READ FIRST!
The answer is A. The slope of the line is rise/run = 4/2 = 2.1. This means that each kilometer costs $2.10. The y-intercept is 2.1, which means that the initial fee is $2.10. So the correct statement is: The slope is 2.1. This means that each kilometer costs $2.10.
The other statements are incorrect. The slope is not 5, so each kilometer does not cost $5. The y-intercept is not 5, so the ride does not last 5 kilometers. The y-intercept is the value of the function when the input is 0, which in this case is the initial fee of $2.10.
Explain how to solve this system of two equations.
x+2y=4 and x-2y=6
Fill in the blanks using:
system of equations
equivalent
like terms
collecting like terms
combining like terms
evaluate
substitution method
elimination method
distributive property
inverse operation
parallel
perpendicular
collinear
coincident
solution
no solution
infinitely many solution
inconsistent equation
Jabari had two equations to solve. Both had two unknowns, x and y. Jabari could use them to solve each other. That's called (_______). Jabari decided to (_______) using the substitution method. First, he had to turn the x's in one equation into y's. He subtracted 2y from both sides of the first equation x+2y = 4. This made x = 4−2y.
Next, he substituted the expression 4−2y for x in (_______). Now he had (4-2y)−2y = 6.
Jabari saw that the two 2y's were like terms. He knew that collecting like terms is a way to (_______). He combined the y's to get 4−4y = 6.
From there, he subtracted 4 from both sides to get −4y=2. Now it was easy to evaluate the expression down to a single value. The problem's solution was (_______).
Answer: thanksss :)
Step-by-step explanation:
Write a function that describes the sequence 7, 8, 9, 10,... Use y for the term in the sequence and n for its place in the list.
Answer:n=y+1
Step-by-step explanation:
Answer:
n=y+1.
Step-by-step explanation:
Someone please answer this this is due today please help me
Answer:
From least to greatest: {3/10 + 3/8}, {3/10 + 3/4}, {1 2/15 + 1/10}, {1 2/15 + 3/8}
Step-by-step explanation:
Simplify each expression:
1 2/15 + 1/10 = 17/15 + 1/10: The LCM is 30 because 15 × 2 is 30 and 10 × 3 = 30. So multiply 17/15 by 2 so you get 34/30. Then multiply 1/10 by 3 to get 3/30. So you get 34/30 + 3/30 = 37/30.
3/10 + 3/4: The LCM is 20 because 10 × 2 = 20 and 4 × 5 is 20. So multiply 3/10 by 2 so you get 6/20. Then multiply 3/4 by 5 so you get 15/20. So you get 6/20 + 15/20 = 21/20.
1 2/15 + 3/4 = 17/15 + 3/4: The LCM is 60 because 15 × 4 = 60 and 4 × 15 = 60. So multiply 17/15 by 4 to get 68/60. Then multiply 3/4 by 15 so you get 45/60. So you get 68/60 + 45/60 = 113/60.
3/10 + 3/8: The LCM is 40 because 10 × 4 = 40 and 8 × 5 = 40. So multiply 3/10 by 4 to get 12/40. Then 3/8 by 5 to get 15/40. So you get 12/40 + 15/40 = 27/40.
Now you have: 37/30, 21/20, 113/60, 27/40. Now you can use a calculator evaluate each quotient and determine the order of each expression.
There are 5 girls in a class of 14 students what is the ratio of boys ?
HELP ASAPP
LEASE NEED THE ANSWER NOW Pleasee
Answer:
9:14
Step-by-step explanation:
If the ratio of girls to students is 5:14, that means there are 9 boys for every 5 girls. Therefore, the ratio of boys to students is 9:14.
Answer:
9
Step-by-step explanation:
Girls = 5 out of 14
So, ratio of girls to total strength is 5:14
Boys = 14-5 = 9 boys
So, ratio of boys to total strength is 9:14
Ratio of boys is 9
Hope it helped. Pls mark me the BRAINLIEST!
7x-20/4=-15 x = what?
Answer:
x = negative 5 over 8 or
-0.625
Step-by-step explanation:
Isolate the variable by dividing the 2 sides
Answer:
x=-10/7
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable
Exact Form: x= -10/7
Decimal Form: x= -1.428571.........
Mixed Number Form: x= -1 and 3/7
Solve the equation using inverse operations. Check your solutions. In your final answer, include all of your work.
5 - 2x^2 = -15
HELP Pls :(
Nantai is hiking in Death Valley. He starts out at Badwater Basin, the lowest point of DeathValley at an elevation of 282 feet below sea level. He walks northward towards Telescope Peakin the Panamints and reaches an elevation of 2400 feet. How much did his altitude change?
Answer:
2682
Step-by-step explanation:
he walked 282 feet from below sea level and is now at ground level, so he increase by 282 then he continues 2400 feet, so he walked 282 in below sea level plus the 2400 feet above ground level, so 282 plus 2400 equals 2682
True or False
A proportional
relationship can have a
positive or negative unit
rate.
Answer:
True
Step-by-step explanation:
As long as the relationships are the same they are proportional.
Please elaborate
\(Simplify (2x-7)(x+3)-(-3x^{2} -4)\)
Answer:
\(5x^2 - x - 17\)
Step-by-step explanation:
Distribute the terms inside the first set of parentheses:
\((2x - 7)(x + 3) = 2x^2 + 6x - 7x - 21\)
Combine like terms:
\(= 2x^2 - x - 21\)
Simplify by adding the second part:
\(2x^2 - x - 21 - (-3x^2 - 4)\)
Subtracting a negative is the same as adding the positive equivalent:
\(= 2x^2 - x - 21 + 3x^2 + 4\)
Combine like terms:
\(= 5x^2 - x - 17\)
(2x-7)(x+3)-(-3x^[2] - 4)
====
5x^[2] -x -17
To begin simplifying this expression, we will foil the first half of it:
(2x-7)(x+3)
2x*x + 2x*3 - 7*x - 7*3
2x^[2] + 6x - 7x - 21
With this, we combine like terms:
2x^[2]-x-21
We now have
2x^[2]-x-21-(-3x^[2]-4)
We can now do the binomial distribution in the second half of the expression. Remember, the - sign in front of the parentheses means we are negating everything inside. In other words, we are multiplying -1 by everything inside the parentheses. Following this:
-(-3x^[2]-4) becomes
-1*-3x^[2] + -1*-4 = 3x^[2]+4
We have now simplified the first and second half of our expression, so we have:
2x^[2]-x-21+3x^[2]+4
And combining like terms we get
2x^[2]+3x^[2]-x-21+4 =
5x^[2] -x -17
We can use the quadratic expression to determine if the trinomial can be factored evenly, but it cannot so we have our final simplifed expression!
please write a function for the points (1/3,0) (-2 3/4,0) and (0,-5) and explain the steps.
thank you!
The function for the points are y = -15x - 5
How to determine the functionFrom the information given, we have that;
The points are;
(1/3,0) (-2 3/4,0) and (0,-5)
Using the point-slope form of a linear equation, we have;
y - y₁ = m(x - x₁)
Such that;
m is the slope of the liney - y₁ and (x - x₁) are the pointsUsing (1/3, 0) and (0, -5), we have that the slope is;
m = (0 - (-5))/0 -1/3)
expand the bracket
= 5 / (-1/3)
= -15
Now, take any of the given points and substitute the values
Using (1/3, 0), we get;
y - 0 = -15(x - 1/3).
y = -15x - 5.
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The function for the points solved by (1/3,0) (-2 3/4,0) and (0,-5) solved by point slope form is \(a=-15b-5\)
We have given the points:
(1/3,0) (-2 3/4,0) and (0,-5)
Using the formula of linear equation
\(a-\)\(a_{1}\)\(=x[b-b_{1}]\)
Where we will consider (1/3,0) = \(a-a_{1}\) and (0,-5) = \(b-b_{1}\)
that is 1/3 = \(a\), 0 = \(a_{1}\) and
0 = \(b\), -5 = \(b_{1}\)
\(x\) refers to the slope of line (take any variable)
Now for finding the value of \(x\),
\(x=a-a_{1}/b-b_{1}\)
inserting the values,
\(x=[0-[-5]]/[0-1/3]\\x= -15\)
Substitute the value of \(x\) in the equation
\(a-0=-15[b-1/3]\)
By simplifying the equation, we get
\(a=-15b-5\)
To know more about functions and points:
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(-3 +1/2x) + (1 +1/6x)
help i need this today!!!!!deadline by 12:00am
Answer:
2/3 (x - 3)
Step-by-step explanation:
hope this helps =)
2/3 (x-3)
Step-by-step explanation:
hope that helps!
The fence next to the creek near Ben's house leans a little more each year because the bank of the creek is eroding. If the fence leans about 2.9 degrees more each year, estimate how many more degrees the fence will lean after 5 years.
Help meeeeeeeeee
the measure of angle ABD is 134 degrees. what is the measure of x? What angle relationship is needed to be solved?
Explanation
The angles ABD and DBC are supplementary since they form a straight line. That means they add to 180 degrees.
(angle ABD) + (angle DBC) = 180
(134) + (2x) = 180
2x = 180-134
2x = 46
x = 46/2
x = 23
Answer: x=23 and the angle relation used was supplementary angles
Step-by-step explanation:
first, you know that angle abd is 134 so you subtract that from 180 and divide it by 2 because angle cbd is 2x and you know they equal 180 because they make a straight line.
cassie is placing stickers on a page that is 12 inches long and 8 inches wide the sticker are 3 inches long and 2 inches wide
Answer:
To find the greatest number of stickers Cassie can place on a page that is 11 inches long and 8 inches wide without them overlapping, we need to use the same approach as before.
Firstly, we need to calculate the maximum number of stickers that can fit along the length of the page, which is now 11 inches. Since each sticker is 3 inches long, we can fit 3 stickers along the length (11 ÷ 3 = 3 with a remainder of 2).
Next, we can calculate the maximum number of stickers that can fit along the width of the page, which is still 8 inches. Since each sticker is 2 inches wide, we can fit 4 stickers along the width (8 ÷ 2 = 4).
To ensure that the stickers do not overlap, we can only use the full row of 3 stickers from the previous calculation. Therefore, we can place 3 stickers along the length and 4 stickers along the width, giving us a maximum of 12 stickers that Cassie can place on the page without them overlapping.
Step-by-step explanation:
Answer:
16
Step-by-step explanation:
First, find out how much stickers you can put on the long side:
12/3 = 4
Next, find out how much stickers you can put on the wide side:
8/2 = 4
Lastly, calculate them together:
4x4=16
So the answer is 16.
Elliot is moving a table through a doorway. The table is 2 and StartFraction 5 Over 8 EndFraction ft wide and the doorway is 2 and three-fourths ft wide. Which statement explains if the table will fit through the door?
The table will fit because 2 and StartFraction 5 Over 8 EndFraction < 2 and three-fourths.
The table will fit because 2 and StartFraction 5 Over 8 EndFraction > 2 and three-fourths.
The table will not fit because 2 and StartFraction 5 Over 8 EndFraction < 2 and three-fourths.
The table will not fit because 2 and StartFraction 5 Over 8 EndFraction > 2 and three-fourths.
Answer:
The table will fit
Step-by-step explanation:
Table: 2 3/8 = 19/8
Door: 2 3/4 = 11/4
(Mixed fraction to Improper fraction)
Door: 2 3/4 = 11/4 = 11/4*2 = 22/8
19/8 (Table) > 22/8 (Door)
(Hopefully thats the answer 'cause the question isn't very readable)
What is payroll tax ???????????????????????????????????????????????????????????????
Answer:
The individual income tax (or personal income tax) is a tax levied on the wages, salaries, dividends, interest, and other income a person earns throughout the year. The tax is generally imposed by the state in which the income is earned.
Step-by-step explanation:
Payroll tax refers to the taxes that are deducted from an employee's wages or salary by their employer.
We have to give that,
To define Payroll tax.
Now, Payroll tax refers to the taxes that are deducted from an employee's wages or salary by their employer.
These taxes are withheld to fund various government programs and services.
Payroll taxes typically include federal, state, and local income taxes, as well as Social Security and Medicare taxes.
The amount of payroll taxes deducted from an employee's paycheck depends on factors such as income level, tax brackets, and the tax rates set by the applicable government authorities.
These taxes are then remitted by the employer to the appropriate tax agencies on behalf of their employees.
They are specifically related to employment income and play a crucial role in funding important government initiatives and social programs.
Learn more on tax below;
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help me with this plsssss
Answer:
Coordinates are ( 1,3 ) x=1 y=3