2x - 5y = 1
We need to group all the variable terms on one side and all the constant terms on the other side of the equation. Therefore move the term -5y to the other side of equation.
[tex]\rm{2x - 5y = 1 }\\ [/tex]
[tex] \rm{2x - 5y + 5y = 1 + 5y}\\[/tex]
Subtract -5y from both sides of the equation
Simplify 2x - 5y + 5y = 1 + 5y
Cancel -5y with 5y
Reorder 1 + 5y so highest order terms are first
[tex] \rm{x = \frac{5y + 1}{2} } \\ [/tex]
Move factors not having X from the left side of equation 2x = 5y + 1
[tex] \rm{ \frac{2x}{2} = \frac{5y + 1}{2} } \\ [/tex]
Divide both sides of equation 2x = 5y + 1 by 2
Cancel 2 with 2
[tex] \rm{ \frac{\cancel{2}x}{\cancel{2}} = \frac{5y + 1}{2} } \\ [/tex]
[tex] \rm{x = \frac{5y + 1}{2} } \\ [/tex]
Therefore, the x of 2x - 5y = 1 is [tex] \rm{ \frac{5y + 1}{2} } [/tex]
Solve for y2x - 5y = 1
[tex]\rm{-5y + 2x = 1}\\ [/tex]
Reorder 2x -5y so highest order terms are first
-5y = -2x + 1
We need to group all the variable terms on one side and all the constant terms on the other side of the equation. Therefore move the term 2x to the other side of equation -5y + 2x = 1
[tex]\rm{-5y + 2x - 2x = 1 - 2x}\\[/tex]
Subtract 2x from both sides of the equation
Simply - 5y + 2x -2x = 1 - 2x
Cancel 2x with -2x
Reorder 1 - 2x so highest order terms are first
[tex] \rm{y = - \frac{2x + 1}{5} }\\[/tex]
Move factors not having y from the left side of equation -5y = -2x + 1
[tex]\rm{ \frac{ - 5y}{ - 5} = \frac{ - 2x + 1}{ - 5} }\\ [/tex]
Divide both sides of equation -5y = -2x +1 by -5
Simplify [tex]\rm{ \frac{ - 5y}{ - 5} = \frac{ - 2x + 1}{ - 5} } [/tex]
Cancel 5 with -5
Resolve sign on fraction [tex] \rm{\frac{ - 2x + 1}{ - 5} }[/tex]
Therefore, the y of 2x-5y = 1 is [tex]\rm{\frac{ - 2x + 1}{ - 5} } [/tex]
Solve for x3x + 2y = 11
We need to group all the variable terms on one side and all the constant terms on the other side of the equation. Therefore move the term 2:y to the other side of equation 3 x + 2y - 2y = 11 - 2y
Subtract 2y from the both sides of the equation
Simplify 3x + 2y - 2y = 11 - 2y
Cancel 2y with 2y
Reorder 11 - 2y so highest order terms are first
[tex] \rm{x = \frac{2y + 11}{3} } \\ [/tex]
Move the factors not having x from the left side of equation 3x = -2y +11
[tex] \rm{ \frac{3x}{3} = \frac{-2y + 11}{3} } \\ [/tex]
Divide both sides of equation 3x = 2y + 11 by 3
Cancel 3 with 3
[tex] \rm{ \frac{\cancel{3}x}{\cancel{3}} = \frac{-2y + 11}{3} } \\ [/tex]
[tex] \rm{x = \frac{2y + 11}{3} } \\ [/tex]
Therefore, the x for 3x + 2y = 11 is [tex] \rm{ \frac{2y + 11}{3} } [/tex]
Solve for y2y + 3x = 11
Reorder 3x + 2y so highest order terms are first
[tex]\rm{2y + 3x = 11}\\[/tex]
We need to group all the variable terms on one side and all the constant terms on the other side of the equation. Therefore move the term 2:y to the other side of equation 2y + 3x = 11
[tex]\rm{2y + 3x - 3x = 11 - 3x}[/tex]
Subtract 3y from the both sides of the equation
Simplify 2y + 3x - 3x = 11 - 3x
Cancel 3x with - 3x
Reorder 11 - 3x so highest order terms are first
[tex] \rm{y= - \frac{3x + 11}{3} } \\ [/tex]
Move factors not having y from the left side of equation 2y = -3x + 11
[tex] \rm{ \frac{2y}{2} = \frac{-3x + 11}{3} } \\ [/tex]
Divide both sides of equation 2y = -3x + 11 by 2
Cancel 2 with 2
[tex] \rm{ \frac{\cancel{2}y}{\cancel{2}} = \frac{-3x + 11}{3} } \\ [/tex]
[tex] \rm{y = \frac{-3x + 11}{3} } \\ [/tex]
Therefore, the y for 2y + 3x = 11 is [tex] \rm{ \frac{-3x + 11}{3} } [/tex]
mr.spencer drives 200 miles in 5 hours what is the unit rate
ABCD is a rectangle.Diagonal AD=10 and AB=8. What is the perimeter of the rectangle? *
A. 36
B. 16
C. 30
D. 40
HELP PLLZZZZ
Please answer this i rly need help i dont understand
Answer:
220°
Step-by-step explanation:
[tex]\angle PQM [/tex] is inscribed in the [tex]\widehat{PQM}[/tex] and [tex]\widehat{PNM}[/tex] is intercepted by it.
Therefore, by inscribed angle theorem:
[tex]m\angle PQM =\frac{1}{2}\times m\widehat{(PNM)}[/tex]
[tex]\implies 110\degree =\frac{1}{2}\times m\widehat{(PNM)}[/tex]
[tex]\implies 110\degree \times 2= m\widehat{(PNM)}[/tex]
[tex]\implies m\widehat{(PNM)}= 220\degree [/tex]
[tex]\\ \rm\Rrightarrow m<PQM=1/2m\overset{\cap}{PNM}[/tex]
[tex]\\ \rm\Rrightarrow m\overset{\cap}{PNM}=2m<PQM=2(110)=220°[/tex]
.•*
689
Four friends buy cinema tickets using this offer.
Cinema tickets
Buy 3 tickets and get a ticket free
They each pay £7.05
How much does a ticket cost?
t
+
Answer:
7.04*4=x
x/3=how much the tickets cost
Step-by-step explanation:
If each of the four friends pays $7.04, the equation would be set up like this: 7.04*4=28.16. This means the total cost for tickets is 28.16. If the total cost for three tickets is 28.16, just divide the total cost by how many tickets were purchased. 28.16/3=9.39. This means one ticket cost 9.39.
[tex]\longrightarrow \sf £ \:9.4 [/tex]
Solution:-[tex]\leadsto[/tex]Money paid by 1 friend = £ 7.05
[tex]\leadsto[/tex]Money paid by 4 friend = £ 7.05 × 4
[tex] \quad\quad\quad\quad\quad\quad\quad\quad\quad\quad[/tex]= £ 28.2
This is equal to cost of 3 tickets
[tex]\leadsto[/tex] Cost of 3 tickets = £ 28.2
[tex]\leadsto[/tex] Cost of 1 ticket = £ 28.2 ÷ 3
[tex]\quad\quad\quad\quad\quad\quad\quad\quad\quad[/tex]=£ 9.4
Thus , each ticket cost £ 9.4 .
....................
Answer:
m ∠ E = 29°
Step-by-step explanation:
34 + 117 + m = 180
151 + m = 180
-151 -151
m ∠ E = 29°
I hope this helps!
draw the image of quadrilateral ABCD under the translation (x,y) (x+4,y-3)
Answer:
Without seeing or knowing the original coordinates for each point, all I can tell you is to take the original coordinates and add 4 to the x. Then subtract 3 from the y. Plot accordingly
A recipe uses 2 cups of milk to make 12 servings. If the same amount of milk is used for each serving, how many servings can be made from two pints?
Answer:
24
Step-by-step explanation:
2 cups = 1 pint
2 cups = 12 serving
1 pint = 12 serving
2 pint = 12 x 2
2 pint = 24 serving
on Saturday five girls held a car wash to earn money for each car they charged $6 the girls washed a total of 22 cars and collected an extra $10 in tips if they divide the money equally how much will each girl receive
This is due at 4:20 Can you please help
Answer:
$28.40
Step-by-step explanation:
First let's find how much they earned from washing the cars. They charged $6 for each car and washed 22 so 6x22=$132 from washing cars. After that they earned 10 more dollars so we have to add that. 132+10=$142 earned in total. Then we have to divide this total income between all of the girls. 142/5=$28.40 for each girl.
\frac{1}{2}=21=\,\,-\frac{3}{4}+\frac{3}{5}x−43+53x
Answer:
what?
Step-by-step explanation:
pls help me pic in the file .
Answer:
p = 33/100 = 33%
Step-by-step explanation:
p (probability) = 1.00 - [variables]
p = 1.00 - (0.12 + 0.07 + 0.05 + 0.28 + 0.15)
p = 1.00 - 0.67
p = 33/100
Please Help ASAP. I need a better understanding of this so please help ASAP...
Answer:
upper right selection
Step-by-step explanation:
Matrix addition, subtraction, and multiplication or division by a constant are done on a term-by-term basis.
[tex]\left[\begin{array}{cc}4&-7\\-11&5\end{array}\right] +\left[\begin{array}{cc}1&6\\-1&3\end{array}\right] =\left[\begin{array}{cc}4+1&-7+6\\-11-1&5+3\end{array}\right] \\\\=\boxed{\left[\begin{array}{cc}5&-1\\-12&8\end{array}\right] }[/tex]
HELP FOR BRAINLEST!!!
Answer:
3/4
Step-by-step explanation:
add total NOT male (9) total NOT 0.3 to 0.7 seconds (11) and subtract the number that is both not male and not 0.3 to 0.7 seconds (5)
9+11-5 = 15
over total (20)
15/20 simplifies to 3/4
Make a number line and mark the points that represent the following values of x -1
The marks on the number line are used to represent the points on the number line
The point on the given diagram is on the point x = -1
How to determine the pointThe value of x is given as:
x = -1
The above equation means that, the value of x is on the -1 point of x
This in other words means that, the position of x is 1 point to the left of 0
From the diagram, the point is already on the point x = -1
Read more about number lines at:
https://brainly.com/question/10851163
Answer:
-1 and 1 if you are using absolute value
Step-by-step explanation:
if the area of a triangle is 128 sqcm and height is 12cm, find its base?
Area of triangle = 1/2 x base x height
128 = 1/2 x base x 12
Multiply both sides by 2:
256 = base x 12
Divide both sides by 12
Base = 21 1/3 cm
The number of absences for one week for all students at a high school were compiled, and the probability distribution below was created. What is the probability in any given week that a randomly selected student will be absent no more than one day? Probability Distribution Days Absent: X Probability: P(X) 0 0. 78 1 0. 14 2 0. 03 03 2000. 01 4 0 5 0. 04 0. 08 0. 14 0. 78 0. 92.
The probability of randomly selected students who will be absent no more than one day is 0.92. Option D is correct.
What is the probability?
The probability is defined as the number of favorable occurrences of an event.
Given the probability distribution of the number of absence for one week,
x: 0 1 2 3 4 5
P(X): 0.78 0.14 0.03 0.01 0 0.04
We know that the probability of any event is always less than equal to 1. We can write that, [tex]P(x\leq 1)[/tex].
So the probability of randomly selected students who will be absent no more than one day is calculated as given below.
[tex]P = P (x=0) + P(x=1)\\P = 0.78 + 0.14[/tex]
[tex]P = 0.92[/tex]
Hence we can conclude that the probability of randomly selected students who will be absent no more than one day is 0.92. Option D is correct.
To know more about the probability, follow the link given below.
https://brainly.com/question/795909.
is y – 2 = –5(x – 2) a linear function
Answer:
Yes
Step-by-step explanation:
y-2=-5(x-2)
y=-3(x-2)
Use the properties of equality to find the value of x in this equation.
4(6x – 7) = 44
Answer:
x = 3
Step-by-step explanation:
4(6x - 7) = 44
divide both sides by 4
6x - 7 = 11
add 7 to both sides
6x = 18
divide both sides by 6
x = 3
A tablecloth of round Table is full and the radius 9 yd what is the diameterg
Answer:
18
Step-by-step explanation:
The radius is half of the diameter, so we would multiply 9 x 2 and get 18.
Hope this helps!
Please answer, i dont understand this question. Please show work for extra points
Answer:
D) [tex]x=\frac{5}{3}[/tex] and [tex]x=-4[/tex]
Step-by-step explanation:
Factor by grouping
[tex]3x^2+7x-20=0\\\\3x^2+12x-5x-20=0\\\\3x(x+4)-5(x+4)=0\\\\(3x-5)(x+4)=0[/tex]
Solve each factor using the Zero Product Property
[tex]3x-5=0\\\\3x=5\\\\x=\frac{5}{3}[/tex]
[tex]x+4=0\\\\x=-4[/tex]
Thus, [tex]x=\frac{5}{3}[/tex] and [tex]x=-4[/tex] are the solutions
(07. 04 LC)
Mellie is conducting a test on mold spores on bread. She uses 6 slices of bread to compare two strains of mold. She applies one strain to the left side of the bread and one strain to the right side. She flips a coin to decide which strain goes on the right side of the bread. The mold spores that appear on each side are counted and she records them in a table.
Bread Number of Spots for Strain 1 Number of Spots for Strain 2
1 30 19
2 21 17
3 15 15
4 13 12
5 6 9
6 8 4
If Mellie is to perform an appropriate t-test to determine if there is a mean difference between the number of spots per piece of bread produced by the two strains, how many degrees of freedom should she use?
a
4
b
5
c
6
d
10
e
12
Considering the t-test applied, the number of degrees of freedom is given by:
d. 10.
What is the number of degrees of freedom of a t-test?For a sample of size n, the number of degrees of freedom is given by:
df = n - 1
When there are m samples, the amount of degrees of freedom is m multiplied by the sum of degrees of freedom of each sample.
In this problem, there are 2 samples with 6 - 1 = 5 df, hence:
2 x 5 = 10.
Option d is correct.
More can be learned about a t-test at https://brainly.com/question/13873630
Which product is negative?
−3⋅5⋅(−6)⋅4
−3⋅4⋅(−2)⋅(−7)
−4⋅(−6)⋅(−3)⋅(−5)
−7⋅(−3)⋅(−9)⋅0
Answer:
c i hope I was not too late
What is the volume of the shape?
The volume of the triangular prism = [tex]V = (base-area)*height[/tex]
Thus the volume is [tex]\\V = (\frac{1}{2} *3*4) * 7 = 6 * 7 = 42[/tex].
Thus the volume is 42 cubic km.
Hope that helps!
4. There is no triangle with sides 8, 6 and 14 True or False
please help it's urgent
Answer:
True
Step-by-step explanation:
Any two sides of a triangle is greater than the third side.
Use synthetic or long division to divide x^3+ 5x^2+ x- 10 by x+ 2. What is the new
expression?
Answer:
x2+3x−5
Step-by-step explanation:
Set up the synthetic division using the coefficients of the numerator and the root in the denominator. Divide using the rules for synthetic division.
Answer:
1x^2 + 7x + 4/x+2
Step-by-step explanation: x^3+ 5x^2+ x- 10 by x+ 2.
| 1 5 -10
2 | ---- 2 14
________________
1 7 4
X+2 = not a factorable --
1x^2 + 7x + 4/x+2
Option 2: Increase by 10% each year
linear and exponential growth graph
Type 2:
d =
e =
Answer:
Type 2: exponential growth
d = 121
e = 133
Answer:
Exponential growth
d: 121
e: 133.1
Step-by-step explanation:
edge 23
What is d?
-16 (d + 1) = -20
d=?
Answer:
Step-by-step explanation:
Simplify it. -16d-16=-20.
Add 16 to both sides. -16d=-4
Divide 16 by both sides.
d=1/4
PLEASE HELP
For each relation, decide whether or not it is a function.
what is the answer?
Answer:
A. P(3/4)
Step-by-step explanation:
Sean works at a book shop. He finds that when a book is chosen from the shop at random, the following probabilities are correct: P(non-fiction) = 0.37 P(paperback) = 0.23 P(both non-fiction and paperback) = 0.18 - Work out P(neither non-fiction nor paperback) as a decimal.
Answer:
0.22
Step-by-step explanation:
Add all the probabilities together then subtract it from 1
[tex]0.37+0.23+0.18=0.78[/tex]
[tex]1-0.78=0.22[/tex]
Estimation for 6.76 + 2.91
Step-by-step explanation:
156 6.76 + 2.91 equal to 9.67