Answer:
6x + 1
Step-by-step explanation:
1. (10x + 3) + (-4x -2) --> sum means to add.
2. Combine like terms --> 10x - 4x = 6x; 3 - 2 = 1.
3. 6x + 1
so if x +3y =1 how do i plug it in to -x +2y =4
-x +3y=1-x
3y/3=1-x/3
y=1/3 - x/3
y=-1/3x +1/3
Then I have to plug x into the y= the fractions confuse me
If x + 3y = 1, then x = 1 - 3y.
Then in the second equation, replace x with 1 - 3y :
-x + 2y = 4
- (1 - 3y) + 2y = 4
-1 + 3y + 2y = 4
-1 + 5y = 4
5y = 5
y = 1 → x = -2
since x = 1 - 3•1 = 1 - 3 = -2.
Alternatively, you can instead solve for y in the first equation, so that if x + 3y = 1, you get
x + 3y = 1
3y = 1 - x
y = (1 - x)/3
Then replace y in the second equation:
-x + 2y = 4
-x + 2 ((1 - x)/3) = 4
-x + 2/3 (1 - x) = 4
Multiply both sides by 3 to get rid of the fraction:
-3x + 2 (1 - x) = 12
-3x + 2 - 2x = 12
-5x + 2 = 12
-5x = 10
x = -2 → y = 1
since y = (1 - (-2))/3 = (1 + 2)/3 = 3/3 = 1.
John is putting together Christmas gift bags. If he has 20 Kit Kats and 35 bracelets, what is the greatest number of bags he can make in order to have the equal number of KitKats and bracelets in each bag? Hint: Find the GCF
Answer:5
Step-by-step explanation: the gcf for both number are 5, 20: 5*4. 35: 5*7
The sum of four times a number and fifteen is forty-seven. Find the number.
Answer:
8 is the number
Step-by-step explanation:
I don't know why it took me so long to figure it out, 4 x 8 = 32 32 + 15 = 47
It probably took me a really long time because I am tired, and I am not using a calculator.
what is 2(2 + k) simplified?
Answer:
4+2k
Step-by-step explanation:
You multiply them out.
2 x 2=4, and 2 x k =2k. Combine them. 4+2k.
Hope I helped!
Please help ASAP! Will give brainlist
-2v3 + v75
How do I solve this and what would be the answer
Answers are either
3 √3
25 √3
-25 √3
-3 √3
Answer:
a) [tex]3\sqrt{3}[/tex]
Step-by-step explanation:
Step(i):-
Given - 2 √3 + √75
we know that 25 × 3 = 75
- 2 √3 + √75
= -2 √3 + [tex]\sqrt{25 X 3}[/tex]
By using
[tex]\sqrt{ab} = \sqrt{a} \sqrt{b}[/tex]
= [tex]-2\sqrt{3} + \sqrt{25} X \sqrt{3}[/tex]
= [tex]-2\sqrt{3} + 5 \sqrt{3}[/tex]
= [tex](-2 + 5 ) \sqrt{3}[/tex]
= [tex]3\sqrt{3}[/tex]
Solve for s.
3 = s - 2
s=
Answer:
3 = s - 2
s = 3 - 2
s = 1
what was hard lol
The diagram shows a square.
(7x + 3) cm
Find the length of the side of the square.
(5x + 8) cm
The length of each side of the square is; 20.5cm
Squares and equal sidesSince, all sides of a square have equal lengths;
We can assume that the the sides given are equal so that we have;7x +3 = 5x +8
2x = 8 -3
2x = 5
x = 5/2
x = 2.5
By substituting x into either of the expressions! we have;
7x + 37(2.5) + 3 = 17.5 + 3 = 20.5Read more on squares;
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Hamda and Layla get paid per project.
Hamda is paid a project fee of AED 25 plus AED 10.50 per hour.
Layla is paid a project fee of AED 18 plus AED 14.25 per hour.
Write an expression to represent how much a company will pay to hire both to work the same number of hours on a project.
Show your steps
Answer:
[tex]Company: 43 + 24.75h[/tex]
Step-by-step explanation:
Given
Hamda:
[tex]Project\ Fee = 25[/tex]
[tex]Hourly\ Rate = 10.50[/tex]
Layla:
[tex]Project\ Fee = 18[/tex]
[tex]Hourly\ Rate = 14.25[/tex]
Required
Derive an expression for total pay
Represent the number of hours with h.
For Hamda and Layla, their pay for h hours is:
[tex]Pay = Project\ Fee + Hourly\ Rate * h[/tex]
For Hamda, we have:
[tex]Hamda : 25 + 10.50 * h[/tex]
[tex]Hamda : 25 + 10.50 h[/tex]
For Layla, we have:
[tex]Layla: 18 + 14.25 * h[/tex]
[tex]Layla: 18 + 14.25 h[/tex]
For h hours, the company will pay:
[tex]Company: Hamda + Layla[/tex]
[tex]Company: 25 + 10.50h + 18 + 14.25h[/tex]
Collect like terms
[tex]Company: 25 + 18 + 10.50h + 14.25h[/tex]
[tex]Company: 43 + 24.75h[/tex]
Solve 72 = 3v^2, where v is a real number
Answer:
v is equal to 6
Step-by-step explanation:
Answer: v=2√6 or v=−2√6
Step-by-step explanation:
Factor.
x^2−8x+16
(x−4)2
(x+8)^2
(x−8)^2
(x+4)^2
Answer:
A
Step-by-step explanation:
An understanding of statistics is necessary in any job. The use of statistics can help provide answers to many questions. Write a question you think that statistics may help you answer and explain why statistics can help provide an accurate answer.
Answer:
Statistics can help solving data quantitative analysis data.
Step-by-step explanation:
Statistics can help solving data quantitative analysis data.
Examples of questions, that statistics can help provide answers to
What is the measure of central tendency, that is representative of entire statistical data.Ans : It can be found out by calculating mean , median , mode
How widely dispersed or spread off is the dataAns : It can be found out by calculating standard deviation, variance
An example of a question statistics can help you answer is: What is are the socio-economic characteristics of people living in Texas?
Using frequency count and percentage, we can determine the gender, age distribution, occupation and other demographics of the population of people living in Texas.
What is Statistics?Statistics involves the collection, collation, analysis, and interpretation of data to form valid conclusions about problems and give answers to questions raised.We have descriptive and inferential statistics as the two types of statistics.For descriptive statistics, frequency count and percentage can be used to describe the socio-economic characteristics of a population.Therefore:
An example of a question statistics can help you answer is: What is are the socio-economic characteristics of people living in Texas?Using frequency count and percentage, we can determine the gender, age distribution, occupation and other demographics of the population of people living in Texas.Learn more about statistics on:
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2% as a decimal plssssssssssss help brainliest!
so I really need help. you have to set fractions equal to each other and try and find out how many prefer sweaters and whatnot. Also, the answer isn't supposed to be a fraction, it's supposed to be a whole number, you find the answer by using fractions with the information provided in the word problem above ^
I hope that makes sense. lol, thank you :)
how many hours and minutes are there between 9:30 and 1:50
Answer:
4 hours and 20 minutes!
Answer:
Step-by-step explanation:
PM or AM?
If it is 9:30 AM to 1:50 PM, it is 4 hours and 20 minutes.
if it is 9:30 PM to 1:50 AM, it is also 4 hours and 20 minutes.
If it is 9:30am to 1:50 AM, it is 16 hours and 20 minutes.
Find the value of this expression if x=-9.
Answer:
if x = -9
then, (-9)×(-9) + 3
= 81 +3
= 84
(-9) + 6
= -3
so, ans is = 84/(-3)
= (-84)/3
5/8 - 1/2 =
1/8
2/3
1/2
Evaluate if a = 2 , b = 3, and c = -4 :
ab +3c-b
Answer:
Evaluate if a = 2 , b = 3, and c = -4 :
Step-by-step explanation: that the answer
An airplane makes a 2,748-mile flight in 6 hours. What is the airplane's average rate of speed in miles per hour?
Answer:
speed=16,480 miles per hour or 16,480/hour.
Step-by-step explanation:
Distance=speed ×time
The distance in feet that Karina swims in a race is represented by 5d -5, where d is the distance for eac
What is an expression equivalent to 5d -5?
Choose the correct answer below.
A. 5d - 5 = 5(-5)
B. 5d -5 = -5 + 5d
C. 5d - 5 = 5-5d
D. 5d - 5 = -5(d+5)
Answer:
C. 5d - 5 = 5-5d
Step-by-step explanation:
In ΔVWX, x = 160 cm, v = 150 cm and ∠W=77°. Find the length of w, to the nearest centimeter. PLEASE HURRY
Answer:
193
Step-by-step explanation:
according to the question
w²=x²+v²-2xv.cos(<w)
w=√160²+150²-2.160.150.cos(77)°
w=√48100-48000cos(77°)
w=193
Answer:
193
Step-by-step explanation:
delta math
i don't really understand, please help!!
Step-by-step explanation:
the proof is given above
Step-by-step explanation:
In Triangle ICU,
Angle 2 = 180° - Angle 1 (Angles on a straight line)
CR = CU - RU
In Triangle ISR,
Angle 3 = 180° - Angle 4(Angles on a straight line)
SU = RS - RU
Angle 1 = Angle 4
Therefore, Angle 2 is equal to Angle 3
CU = RS
Therefore, CR is equal to SU
Triangle ICR and Triangle ISU
IC = IS
Angle 2 = Angle 3
CR = SU
Therefore, Triangle ICR and Triangle ISU are congruent (SAS congruency).
As the two triangles are congruent, Angle CIR = Angle SIU
how is the graph of f(x)=-3x^2-4 different from the graph of f(x)=-3x^2 ?
Answer:
B
Step-by-step explanation:
rules:
add outside the function : f(x) ± a; will shift a + up / a- down
add inside the function: f(x ± a); will shift a + left / a- right
so if
f(x) becomes f(x) -4 will be shifting down 4 units
how do you simplify this radical (4x^2y)^1/3 and have no negative exponents?
Answer:
4^(1/3) x^(2/3) y^(1/3)
Step-by-step explanation:
why would you expect negative exponents? Just pultiply powers
PLZ HELP!!
What quadrant is (0, 4)
A.1
B.2
C.3
D.4
E.x-axis
F.y-axis
Answer:
F.y-axis
Step-by-step explanation:
y axis is the answer because 0 is starting.
The given point
(0,4)
is on the positive segment of the y-axis.
7/y = 3x make y the subject
Answer:
7/y=3x
(3x)y=7
y=7/3x
3+(-4) on a number line iready
Answer:
it minus one or -1
Step-by-step explanation:
because 4 has more minus than 3 plus
i need help plz
State the coordinates of the point.
Answer:
(-5,8)
Step-by-step explanation:
Hope this helps ;)
A 24-foot by 72-foot rectangular dance floor is completely tiled with 1-foot by 1-foot square tiles. Two opposite corners of the dance floor are connected by a diagonal. This diagonal passes through the interior of exactly how many tiles
Answer:
do do do do to stop do so at to do do d
Use the drawing tool to form the correct answer on the provided graph plot the x-intercept y-intercept and axis of symmetry for the function below g(x) = x2+4x+3
Answer:
x-intercepts: x =-1, x=-3 when y=0
y-intercept, y=3, when x =0
axis of symmetry x = -2
Step-by-step explanation:
We are given the function: [tex]g(x) = x^2+4x+3[/tex]
We need to draw the graph for
x-intercept y-interceptaxis of symmetryof the given function.
x-interceptFor finding x-intercept put y=0, in the given function, we will put g(x) =0
We know that: g(x)=y
[tex]y=x^2+4x+3[/tex]
Putting y=0, we get:
[tex]0=x^2+4x+3[/tex]
Now, we need to solve the equation by factorization, to find value of x
[tex]0=x^2+4x+3\\We\:can\:write\\x^2+4x+3=0\\x^2+3x+x+3=0\\x(x+3)+1(x+3)=0\\(x+1)(x+3)=0\\x+1=0\:or\:x+3=0\\x=-1\:or\:x=-3[/tex]
So, we get x-intercepts: x =-1, x=-3 when y=0
y-interceptFor, finding y-intercept, put x =0
Putting x=0
[tex]g(x)=x^2+4x+3\\We\:know\:g(x)=y\\y=x^2+4x+3\\y=(0)^2+4(0)+3\\y=3[/tex]
So, we get y-intercept, y=3, when x =0
Axis of symmetryThe formula used to calculate axis of symmetry is: [tex]x = \frac{-b}{2a}[/tex]
We have b=4 and a = 1
Putting values and finding axis of symmetry
[tex]x =-\frac{b}{2a} \\x=-\frac{4}{2(1)}\\x=-2[/tex]
So, we get axis of symmetry x = -2
We will also be requiring vertex of the function:
We can find h = -b/2a (same as axis of symmetry) we get h =-2
k can be found as k=f(h)
Put h=-2 in the function:
g(-2)=(-2)^2+4(-2)+3
g(-2)=4-8+3
g(-2)=-1
So, we get k = -1
The vertex (h,k) is (-2,-1)
Now, the graph is attached in figure below.