2 (x + 4) = 2 (-8 - x) - 2x
Answer:
x = -4
Step-by-step explanation:
Simplifying
2[x + 4] = 2[-8 + -1x] + -2x
Reorder the terms:
2[4 + x] = 2[-8 + -1x] + -2x
[4 * 2 + x * 2] = 2[-8 + -1x] + -2x
[8 + 2x] = 2[-8 + -1x] + -2x
8 + 2x = [-8 * 2 + -1x * 2] + -2x
8 + 2x = [-16 + -2x] + -2x
Combine like terms: -2x + -2x = -4x
8 + 2x = -16 + -4x
Solving
8 + 2x = -16 + -4x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '4x' to each side of the equation.
8 + 2x + 4x = -16 + -4x + 4x
Combine like terms: 2x + 4x = 6x
8 + 6x = -16 + -4x + 4x
Combine like terms: -4x + 4x = 0
8 + 6x = -16 + 0
8 + 6x = -16
Add '-8' to each side of the equation.
8 + -8 + 6x = -16 + -8
Combine like terms: 8 + -8 = 0
0 + 6x = -16 + -8
6x = -16 + -8
Combine like terms: -16 + -8 = -24
6x = -24
Divide each side by '6'.
x = -4
Simplifying
x = -4
2( x + 4) = 2 (-8 -x) -2x
Use the distributive property to multiply 2 by x + 4.
2x + 8 = 2 (-8 -x) - 2x
Use the distributive property to multiply 2 by -8 -x.
2x + 8 = -16 -2x - 2x
Combine -2x and 2x to get -4x.
2x + 8 = -16 - 4x
Add 4x to both sides.
2x + 8 + 4x = -16
Combine 2x and 4x to get 6x.
6x + 8 = -16
Subtract 8 from both sides.
6x = -16 - 8
Subtract 8 from -16 to get -24.
6x = -24
Divide both sides from 6.
x = [tex]\frac{-24}{6}[/tex]
Divide by -24 by 6 to get -4.
x = -4.
Find the area of the figure.
[tex]\huge \bf༆ Answer ༄[/tex]
At first Divide the figure into two rectangles, I and Il
Area of figure l is ~
[tex] \sf24 \times (40 - 30)[/tex][tex] \sf24 \times 10[/tex][tex] \sf240 \: \: ft {}^{2} [/tex]Area of figure ll is ~
[tex] \sf 18 \times 30[/tex][tex] \sf540 \: ft{}^{2} [/tex]Area of whole figure = Area ( l + ll )
that is equal to ~
[tex] \sf240 + 540[/tex][tex] \sf780 \: \: ft{}^{2} [/tex]A line passes through (9,2) and (12,-4). Write the equation of the line in standard form.
A. 2x + y = 20
B. 2x - y = 5
C. 2x - y = 16
D. 2x + y = 16
For the 1st equation,
2x + y = 20Putting x = 9, y = 2or, 2 (9) + 2 = 20or, 18 + 2 = 20or, LHS = RHSNow, putting x = 12, y = -4 in the above equation, we have2(12) + (-4) = 20or, 24 - 4 = 20or, LHS = RHS.So we can see that the first equation is the equation of the line.This is given in the graph in the picture.Like this way, if we check with other equations, we see that they are not the required equation of the line.Answer:
A. 2x + y = 20
Hope you could get an idea from here.
Doubt clarification - use comment section.
Jenna walks 12 miles in 5 days. Alex walks 15 miles in 6 days. Who walks more miles per day? Show your work to prove your answer.
Answer:
Alex walked more
Step-by-step explanation:
Jenna: 12/5= 2.4
alex: 15/6=2.5
If b² = 25, then b =____
Answer:
5
Step-by-step explanation:
b^2= (5)^2 = 25
So.... b=5 or -5
Find the midpoint of PQ
Answer:
?? ?? ?? ?? ?? ?? ?? ?? ?? ??
Suppose you have a five dollar off coupon at a fabric store you buy a fabric that cost $10 per yard
1.)right in equation that models the total number of money, y, that you can buy x yards of fabric
2.) if you bought 9 yards of fabric how much will you pay
3.) if you paid $47.50 how many yards of fabric did you purchase
1.) 10x-5=y
2.) $85
3.) 5.25 yards of fabric.
Step-by-step explanation:1.) To write an equation for this problem, we need to figure out what every value means:
the variable x, represents the amount of yards of fabric you can buy
the variable y, represents the total amount of money after you found out (x) or the amount of yards of fabric.
1 yard of fabric equals $10, and we have a $5 coupon (-5)
Our equation is:
10x-5=y
This equation represents the relationship between the total cost of fabric, and the amount that you can buy.
2. In order to solve this problem we need to use our equation, one value is given which is 9.
9 represents x, the amount of yards of fabric.
Substitute 9 into x:
10(9)-5=y
Solve:90-5=y
85=y
85 represents the cost of 9 yards of fabric, including the $5 coupon.
3.) This problem is similar to #2, although it's flipped.
The value given is $47.50, which represents (y), the total amount of money after (x) was found out.
But, we need to figure out (x).
Substitute $47.50 into (y):
10(x)-5=$47.50
Next, we need to figure out x by solving the opposite.
Adding the coupon to our answer can represent 10(x).
$47.50+5=52.50
10(x)=52.50
Lastly, divide both sides of the equation by 10.
10(x) / 10=52.50 /10
x=5.25
5.25 represents the amount of yards of fabric purchased if you paid $47.50.
1 7/9 divided by 4/5
The answer would be 20/9
this would be because you need to convert it into an improper fraction due to it originally being 1 7/9 then you would divide 16/9 by 4/5 and simplify!
I hope this helped :)
Answer:
[tex]\frac{20}{9}[/tex]
Step-by-step explanation:
hope this helps have a great rest of your day
ayy yo who want smok wit me
What is the distance between the following points
answer choices
A 85
B 90
C 11
D 12
Answer:
[tex]\sqrt{85}[/tex]
Step-by-step explanation:
Calculate the distance d using the distance formula
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2-y_{1})^2 } }[/tex]
with (x₁, y₁ ) = (- 5, 8 ) and (x₂, y₂ ) = (4, 6 )
d = [tex]\sqrt{4-(-5))^2+(6-8)^2}[/tex]
= [tex]\sqrt{(4+5)^2+(-2)^2}[/tex]
= [tex]\sqrt{9^2+4}[/tex]
= [tex]\sqrt{81+4}[/tex]
= [tex]\sqrt{85}[/tex]
So, I undestood slope right. But, I get confused with the other points that intersect there is multiple of them. How do i look for the slope using rise over run?
Answer:
slope = 2
Step-by-step explanation:
Find 2 points on the line that land perfectly on the grid. I'll choose these 2 here:
(-2, -1) and (0, 3)
Rise is the change in the y value from one point to the other, and run is the change in the x. Looking at these 2 points, y went from -1 to 3. That is a rise of 4. The x went from -2 to 0, so that is a run of 2. "rise over run" means rise literally over run in a fraction like this:
[tex]m=\frac{rise}{run}[/tex]
The more proper way to calculate slope looks like this, but it's really the same thing in the end:
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
where (x1, y1) and (x2, y2) are your 2 points.
Finally, the slope of this line is:
[tex]m=\frac{3--1}{0--2}\\\\m=\frac{4}{2}\\\\m=2[/tex]
That's a rise of 4 over a run of 2, and that simplifies to just a slope of 2.
can someone help me with this
[tex]\huge \bf༆ Answer ༄[/tex]
Question 1 : [tex] \sf \sqrt{5 {}^{9} } [/tex][tex] \sf{(5 {}^{9} ) }^{ \frac{1}{2} } [/tex][tex] \sf {5}^{ \frac{9}{2} } [/tex]Question 2 : [tex] \sf \dfrac{1}{ \sqrt[3]{12} } [/tex][tex] \sf \dfrac{1}{12 {}^{ \frac{1}{3} } } [/tex][tex] 12 {}^{ - \frac{1}{3} } [/tex]SOLVE FOR X & Y
last one, pls. this is for extra credit :)
Hope it helps.
Don't forget to click the Brainliest button if you like my answer and if you have any query, feel free to ask in the comment section.
The latest mystery novel cost $24 the table shows the sales of that this novel by a bookstore what was the dollar amount of the sales of the mystery novel on Saturday right in equation tomorrow to work
Day. Books sold
Thursday. 93
Friday. 103
Saturday 157
Sunday. 116
Answer:
$3768
Step-by-step explanation:
The amount of sales will be the product of the selling price of each book and the number of books sold.
sales = book price × number of books
sales = $24 × 157 . . . . . . . . books sold on Saturday
sales = $3768 . . . . . . . . . . . sales on Saturday
please help only answer if you're sure it right
(B)
is my answer..........
Answer:
I think b is correct answer
Step-by-step explanation:
is correct answer
can someone please help w my math?????
Answer:
That is very true and should be added
Solve ln 2 + ln x = 5 . Round to the nearest thousandth, if necessary. show work please
[tex]\ln 2 + \ln x = 5\\\\\implies \ln(2x) = 5\\\\\implies 2x = e^5\\\\\implies x = \dfrac{e^5}2 = 74.207[/tex]
275 gallon oil tank costs $400 to fill. How much would it cost to fill a 180 gallon oil tank?
Answer:
$261.82 per 180 gallon of oil tank.
Step-by-step explanation:
set a proportion;
400 x
------ = -----
275 180
180/275 = 0.6545454545454 x 400
= 261.81818181816
round the the nearest hundredth
Which of these sets is a function ?
Answer:
A. trust me I did it and got 100
Answer:
D
since all the other 1st elements (Domains) of each ordered pairs are repeated in all options except D they are not functions.
In conclusion, a function is defined as a set of ordered pairs with wich each element of the domain has one unique y value.
Help. I can’t seem to figure out what to do
Answer: Both of the Givens go in the left top boxes, and then in the right top boxes you would put B is the midpoint of AD and CE and then AC is equal to DE. In the third and fourth boxes on the left, you would put CB = EB and then AB is equal to DB. In the third and fourth boxes on the right you put both of the Def. of Midpoints. Then, in the last box to the left, you would put triangle ABC = DBE. In the final box to the right you would put Side-Side-Side Congruency.
Step-by-step explanation:
1) ac≅de, given
2) b is the midpoint, given
3) ab≅db, defn midpoint
4) cb≅eb, defn midpoint
5) abc≅dbe, side side side
How is solving −7x = −10.5 different from solving − 1 7 x = −10.5? How are the solutions related? Complete the explanation.
Which of the following is an irrational number?
A
64−−√
B
90−−√
C
25−−√
D
169−−−√
please help
Answer:
sqrt(90) is irrational
Step-by-step explanation:
sqrt(64) = 8
sqrt(90) = 3 sqrt(10)
sqrt(25) =5
sqrt(169)=13
The only one that is not simplified to an integer is sqrt(90)
sqrt(90) is irrational
75 basketballs cost $1,143.75. Find the cost of 26 basketballs.
I bad at math :/ plz help
Answer:
i think its b
Answer:
B. (x³-10)(x⁶+10x³+100)
Step-by-step explanation:
x⁹-1000
(x³)³-10³
so now always remember
x³-y³=(x-y)(x²+xy+y²)
so for this question x= x³ and y=10
we now have
(x³-10)((x³)²+10x³+10²)
(x³-10)(x⁶+10x³+100)
please help mwah
ty :)
Answer:
y-9 = -4(x+2)
Step-by-step explanation:
-
Hope that helps
11/19% of a quantity is equal to what fraction of the quantity?
Answer:
57/10,000
Step-by-step explanation:
9/11% = 0.57% = 0.0057
57/10,000
Which table represents a nonlinear function?
X
у
X
y
-70
-11 22
-4 2
-6
12
2
6
1
--2
5
8
9
-18
х у
х
у
- 4 0
-38
-2
-3
0
5
-4
50
6
5
-3
Answer:
bottom left choice
Step-by-step explanation:
use desmo lol. but u can just find the slope of each one and see if it is linear or not. here is the pic:
note: a1, a2, a3, a4 is the top left one, b1, b2, b3 is the top right, c1, c2, c3 is the bottom left.
hope it helps. maybe u have to visualize the graph by connecting the points
Simplify fully
A)
X^7 / X^3
B)
Y^5 / Y^4
Hi,
[tex]\frac{x^{a} }{x^{b} } =x^{a-b}[/tex]
a)
[tex]\frac{x^{7} }{x^{3} }= x^{7-3} = x^{4}[/tex]
b)
[tex]\frac{y^{5} }{y^{4} } = y^{5-4} = y^{1} = y[/tex]
;)
Order the expressions by choosing >,<,or =
Answer:
==<Step-by-step explanation:
The applicable rules of exponents are ...
(a^b)(c^b) = (ac)^b
(a^b)(a^c) = a^(b+c)
__
1. 3^3 × 5^3 = (3×5)^3 = 15^3 . . . . equal
2. 3^5 × 3^3 = 3^(5+3) = 3^8 . . . . equal
3. 3^5 × 5^3 = 3^5 × (5^(5 -2) = (3^5 × 5^5) × 5^(-2)
= 15^5 × 5^-2 < 15^15 . . . . less than
_____
Additional comment
Your calculator can evaluate these expressions so you can see their relationships.
PLEASE HELP ASAP WITH#4