#11:
[tex]2(6k - 1) = -32\\\\12k - 2 = -32\\\\12k = -30\\\\k = -2.5[/tex]
#12:
[tex]15 = -3(x - 1)\\\\15 = -3x + 3\\\\12 = -3x\\\\-4 = x[/tex]
#13:
[tex]7x + 6x - 3x - 45 = 15x\\\\10x - 45 = 15x\\\\-45 = 5x\\\\-9 = x[/tex]
#14:
[tex]3x + 5 = \frac{1}{2}(4x + 28)\\\\3x + 5 = 2x + 14\\\\x + 5 = 14\\\\x = 11[/tex]
#15:
[tex]10 - (x + 5) = 2x + 14\\\\10 - x - 5 = 2x + 14\\\\5 - x = 2x + 14\\\\5 - 3x = 14\\\\-3x = 9\\\\x = -3[/tex]
#16:
[tex]\frac{2}{5}(10x - 15) = -14\\\\4x - 6 = -14\\\\4x = -8\\\\x = -2[/tex]
*Note: You can check my work by pluging in each result I got for x back into the equation and solve. If both numbers on each side of the equal sign match, that means I'm right.
need a little more help lol
Which expressions can be simplified as StartFraction 625 Over n Superscript 12 Baseline EndFraction? Check all that apply.
Answer:
A and E
Step-by-step explanation:
(5n^-3)^4= A (25n^-6)^2=E
Answer:
A and E ФωФ
Step-by-step explanation:
Diego drives 110 miles in 2 hours, 165 miles in 3 hours, and 220 miles in 4 hours. Can you find the constant of proportionality in this situation? If so, what is it?
Answer:
Step-by-step explanation:
To find it we will divide the miles from hours
= 110 ÷ 2 = 55
165 ÷ 3 = 55
220 ÷ 4 = 55
The answer is 55
A: UT= 104 m B: UT=104 m C: UT=112m D: UT=126m
Answer:
m∠R = 126° and UT = 104
Step-by-step explanation:
In the given triangles, two angles and one side is congruent so using ASA postulate both triangles are congruent.
IT can be written as:
ΔQRS = ΔTUV
When two triangles are congruent their respective sides and angles are congruent
So,
m∠R ≅ m∠U
And
UT = RQ
Using these
m∠R ≅ m∠U
[tex]10y-14 = 5y+56\\10y-5y-14 = 56\\5y = 56+14\\5y = 70\\\frac{5y}{5} = \frac{70}{5}\\y = 14[/tex]
Putting y = 14 in 10y-14
[tex]10(14)-14\\= 140-14\\= 126[/tex]
Hence,
m∠R = 126°
And
RQ = UT
[tex]14x-36 = 2x+84\\14x-2x-36 = 84\\12x = 84+36\\12x = 120\\\frac{12x}{12} = \frac{120}{12}\\x = 10[/tex]
Putting x = 10 in 2x+84
[tex]2(10)+84\\=20+84\\=104[/tex]
Hence,
m∠R = 126° and UT = 104
A salesperson works 40 hours per week at a job where she has two options for being paid. Option A is an hourly wage of $26. Option B is a commission rate of 10% on weekly sales. How much does she need to sell this week to earn the same amount with the two options?
Step-by-step explanation:
12,500.
Step-by-step explanation:
We have been given that a salesperson works 40 hours per week at a job where he has two options for being paid. Option A is an hourly wage of $25. Option B is a commission rate of 8% on weekly sales.
First of all we will find amount earned by salesperson with option A.
\text{Option A earnings}=40\times 25=1000Option A earnings=40×25=1000
The salespersons earns $1000 through option A.
Let x be the amount of weekly sales.
8% of x should be equal to 1000 for salesman to earn the same amount with the two options.
\frac{8}{100}x=1000
100
8
x=1000
0.08 x=10000.08x=1000
x=\frac{1000}{0.08}x=
0.08
1000
x=12500x=12500
Therefore, the salesman needs to make a weekly sales of $12,500 to earn the same amount with two options.
7 increased by 5 times a number ?
Answer:
i wouldsay b
Step-by-step explanation:
i need help, please :)
Answer:
So first you want to move your mouse cause i cant see anything................THANKS FOR THE POINTTTT
Step-by-step explanation:
what is the equation in slope intercept form for the line that passes through the points (2,4) and (3,6)
Answer:
y=2x
Step-by-step explanation:
y=mx+b
m=(6-4)/(3-2)=2
b=y-mx
b=4-(2)(2)
b=4-4
b=0
If 2x^2+2x-8 is the quotient when x+3 divides P(x), which of th3 following is the quotient when 2x+6 divides p(x)?
A. x^2+x-4
B. 2x^2+2x-8
C. 4x^2+4x-16
D . There is not enough information
Answer: A
2x^2+2x-8 is the quotient when x+3 divides P(x)
=> P(x) = (2x² + 2x -8)(x + 3) = 2(x² + x - 4)(x + 3) = (x² + x - 4) (2x + 6)
=> the quotient when 2x+6 divides p(x) is x² + x - 4
Step-by-step explanation:
need help please on this one
Answer: 3/2
==========================================================
Explanation:
Pick any two points on the red line. I'll pick (0,1) and (2,4)
Those coordinates will be plugged into the slope formula below
m = (y2 - y1)/(x2 - x1)
m = (4 - 1)/(2 - 0)
m = 3/2
This means we go up 3 and over to the right 2 when traveling along this red line.
write the equation of the line fully simplified slope-intercept form
Answer:
[tex]y=\frac{-3}{2}x+8[/tex]
Step-by-step explanation:
y=mx+b
b is where the line touches the y-intercept
mx is the slope...rise over run (positive slope) OR fall over crawl (negative slope)
b= 8
mx= -3/2
y= -3/2x+8
How many solutions does the system of equations below have? y = 3x + 2 Y-2x = 4 a) More than 1 solution b) At least 1 solution c) Exactly 1 solution d) No solution
To determine how many solutions this system has, we must solve the system first. We start by using substitution to solve for x.
[tex]y = 3x + 2\\y - 2x = 4\\\\3x + 2 - 2x = 4\\\\x + 2 = 4\\\\x = 2[/tex]
Now we plug in what we found x back into one of the original equations to solve for y.
[tex]y = 3(2) + 2\\\\y = 6 + 2\\\\y = 8[/tex]
With this information we can now answer the question.
We can conclude that this system has C. exactly 1 solution, [tex](2, 8)[/tex].
The number of solutions does the system of equations is to be considered as the option c. Exactly 1 solution.
Calculation of the number of solution:Since
y = 3x + 2
And, y - 2x = 4
So, we can write
3x + 2 -2x = 4
x + 2 = 4
x = 2
Now
y = 3(2) + 2
= 6 + 2
= 8
hence, The number of solutions does the system of equations is to be considered as the option c. Exactly 1 solution.
Learn more about an equation here: https://brainly.com/question/24540444
I would like for someone to help me please points and brainlest
Answer:
1/22
Step-by-step explanation:
Answer:
b. [tex]\frac{1}{24}[/tex]
Step-by-step explanation:
2 cranberry so 2/12
and three banana so 3/12
[tex]\frac{2}{12} + \frac{3}{12} = \frac{5}{12}[/tex]
[tex]\frac{5}{12} = \frac{1}{24}[/tex]
idk how to explain it good but if it helps, I used a calculator to makes sure its correct:)
Need help ASAP! Triangles ABC and DEF are similar. Find x?
A.) 9.45
B.) 7.23
C.) 6.12
D.) 8.57
Answer:
D. 8.57
Step-by-step explanation:
Okay I'm not sure if I do these problems correctly, but I always get the right answer.
7/11 = 0.6363...
15/0.6363... = 23.5714...
23.5714...- 15 = 8.57
The value of x would be option D.) 8.57
What is the ratio of two quantities?Suppose that we've got two quantities with measurements as 'a' and 'b'
Then, their ratio(ratio of a to b) a:b
or
[tex]\dfrac{a}{b}[/tex]
Triangles ABC and DEF are similar.
The ratio would be
DE / AB = DF / AC
We know that
15 / 15 + x = 7 / 11
So,
7/11 = 0.6363
15 / 15 + x = 0.6363
By cross multiplication;
15/0.6363 = 15 + x
23.5714 = 15 + x
x = 23.5714 - 15
x = 8.57
Learn more about ratio here:
brainly.com/question/186659
#SPJ2
The triangle below is equilateral. That means all the sides are the same length. What is the value of y?
Answer:
y = 7
Step-by-step explanation:
3x = 5x - 8
8 = 2x
x = 4
3x = 5 + y
3(4) = 5 + y
12 = 5 + y
7 = y
#teamtrees #WAP (Water And Plant)
Answer:
7
Step-by-step explanation:
As all sides are equal,
3x=5x-8
2x=8
x=4
5+y=3x
5+y=3*4
5+y=12
y=12-5
y=7
What is 6/7 +8/36+9/45 equal?
Answer: 1.27936507937
Apply the indicated operation to the matrix.
i need help with one question, anyone pls? will mark brainliest!
Answer:
C. 2 -2 -3
Step-by-step explanation:
this is a combination of indicated operations
the number on the left of the indicated operation is the original set
the number '1/4' next to R shows that you need to multiply certain numbers by 1/4
the subscript on the R's shows which row the multiplication needs to be done on...
in this case it is saying that 1/4 [tex]R_{2}[/tex] + [tex]R_{1}[/tex] will become the new
so multiply 1/4 by a number in the row [tex]R_{2}[/tex] and then add that to the corresponding number from [tex]R_{1}[/tex]
an example: (1/4 x 8) + 0 -------> 2
2 would be the new first number in the second row
Choose all answers that make
On a number line, 7.35 would be located
a true statement.
7.35
A. between 8 and 9
B. to the left of 7.37
C. to the right of 7.32
D. between 8.3 and 8.4
I'm abt to burn my house down follow my insta, rsokolskiy9, for the full video
Answer:
oh my
Step-by-step explanation:
Answer:
I- cool
Step-by-step explanation:
What is the slope of the equation X+2y=4
Answer:
y= -1/2x+2
Step-by-step explanation:
subtract the x from both sides giving you: 2y= -x+4
Then divide the 2y,-x, and 4 by 2 giving you your answer of: y= -1/2x+2
help
Complete the following table.
Number of sides
Name of polygon
Each exterior angle
Each interior angle
6
7
8
9
Answer:
I have given the answer
need this answered please!!
Their 3 angles are equal (64,26,90)
Hope this will help...
Please mark as brainliest
0.0943 0.9403 0.9043 least to greatest
Answer:
0.0943
0.9043
0.9403
Step-by-step explanation:
the number starts getting closer to the decimal point, so it gets bigger.
Ok so. ;-; werid question why when i put ice into the stove it melts? ): i watched 5 minute craft and they said "Put ice into a stove and it will turn into a couch" and i tried but it melted why did it melt?
Answer:
Step-by-step explanation:
well you see the ice melts because it is supposed to be cold and you made it hot idek im not a scientist
Answer:
not sure next time try and fold the dishes inside maybe that'll work :)
Is the function f (x) = { + linear or nonlinear?
please it is urgent
Y=X
slope______
y-intercept_______
Helppppp is this correct or should I switch them
Answer:
Its right x
Step-by-step explanation:
have a great day xx
Answer:
this is correct
Step-by-step explanation: bc price depends on months
whats your name and shirt you wear
Answer:
a shirt with a color on it
Step-by-step explanation:
what is the slope of the ordered pair?
(6,-12) (15,-3)
a. 2
b. -1
c. -2
d. 1
d.1
Step-by-step explanation:
because
-3-(-12)=9
15-6=9
9÷9=1
4 to the power of 2−3⋅ 4 + 7?
Answer:
4^-3= 1/64
Step-by-step explanation:
Simplify the power using PEMDAS, so that will be 2-(3*4)+7, which is -3.
Then, since a number with a negative power has to be a fraction, it will be 1/64.
Hope this helped.