Answer:
(1,4)
Step-by-step explanation:
Hi there!
We're given the system:
y=3x+1
y=x+3
We need to find the common solution (the point at which the lines intersect); we do this by finding the value of the variables.
Let's start with x
Since both equations equal y, we can make 3x+1 and x+3 equal to each other, because of a property known as transitivity (if a=b and b=c, then a=c)
3x+1=x+3
subtract 1 from both sides
3x=x+2
subtract x from both sides
2x=2
divide both sides by 2
x=1
we found the value of x
now we need to find the value of y
We do this by plugging x as 1 into either one of the equations to solve for y
let's use y=x+3 for example
substitute x as 1
y=1+3
add
y=4
we found the value of y.
Your question asks for the answer to be written as an ordered pair, which will be (1,4)
Hope this helps!
Answer:
(1, 4 )
Step-by-step explanation:
Given the 2 equations
y = 3x + 1 → (1)
y = x + 3 → (2)
Substitute y = 3x + 1 into (2)
3x + 1 = x + 3 ( subtract x from both sides )
2x + 1 = 3 ( subtract 1 from both sides )
2x = 2 ( divide both sides by 2 )
x = 1
Substitute x = 1 into either of the 2 equations and evaluate for y
Substituting into (2)
y = 1 + 3 = 4
solution is (1, 4 )
3a + b - 2 = b thank you
Answer:
Get rid of b:
3a+b-2=b
3a-2=0
3a=2
A=2/3
find the Hcf of 15 30 90
Answer:
15=3*5
30=5*6
90=5*3*5*2*3
So, HCF=15
Step-by-step explanation:
Hope it helps
Step-by-step explanation:
Hey there!
HCF stands for highest common factor. When you are asked about to find the HCF of any number find the factors and take common from all the factors of the numbers.
The given numbers are: 15,30,90.
15 = 3*5
30 = 2*3*5
90 = 2*3*3*5
Now, from the above solutions take all the common factors.
From the factors of all three numbers, 3*5 are common.
Therefore, the HCF of the numbers is 3*5 = 15.
Hope it helps!
Instructions: Match each step with the correct ordered description for how to construct a copy of line
The correct steps of how to construct a copy of line with the aid of a compass would be given below as follows
How to construct a line segment?To construct a line segment, the correct matching of the steps are given below as follows:
Step one: Start with line segment PQ that we will copy.
Step two: Set the compass point on the point P of the line segment to be copied.
Step three: Adjust the compass width to the point Q. The compass width is now equal to the length of the line segment PQ.
Step four:Mark a point R that will be one endpoint of the new line segment.
Step five : Without changing the compasses width, place the compasses point on the point R on the line you drew previously.
Step six: without changing the compasses width draw an arc roughly where the other endpoint will be.
Step seven pick a point S on the arc that will be the other endpoint of the new line segment.
Step eight: Draw a line from R to S.
Step nine: The line segment RS is equal in length (congruent to) the line segment PQ.
Learn more about line segments here:
https://brainly.com/question/24778489
#SPJ1
Write an equation in
slope-intercept form that
passes through (-6, -2)
and has a y-intercept
located at y= -5
Answer:
y = -1/2 x -5
Step-by-step explanation:
The slope intercept form of an equation is
y = mx+b where m is the slope and b is the y intercept
We know b
y = mx-5
Substitute the values of x and y into the equation to determine the slope
-2 = m(-6) -5
Add 5 to each side
-2+5 =-6m
3 = -6m
Divide by -6
3/-6 = m
The slope is -1/2
y = -1/2 x -5
convert 25meter square into centimeter square
Answer:
250,000 cm squared
Step-by-step explanation:
help me with this please. classify the following triangle
A.right
B.isosceles
C.equilateral
D. abtuse
E.acute
F.scalene
Answer:
isosceles triangle
Step-by-step explanation:
Answer:
A, B, and, D
Step-by-step explanation:
I'm not 100% sure but i'm pretty sure these are it.
Hope thus helps!
The theater club is charging $20 for 3 tickets. What is the rate of change in this situation?
Answer:
20/3
Step-by-step explanation:
The Other guy is wrong, this is the correct answer from Plato
The rate of change in a direct variation relationship is the same as the constant of proportionality. The rate of change is the change in the dependent value, y, over the change in the independent value, x.
In this case, the number of tickets sold is the independent variable and the amount of money raised from ticket sales is the dependent variable. The ratio of money raised per ticket sold is the constant of proportionality.
Since 3 tickets are sold for $20, the rate of change, or slope, is 20/3
Answer:
20/3 I mean imI'm doing it rn and..... the plug
Step-by-step explanation:
harlie is a hotel manager. Their responsibilities include renting rooms for conferences. The hotel charges $250 per day plus $15 per person for the grand ballroom.
Create a formula for the cost, C, in dollars, to rent the ballroom for any number of people for 1 day.
Hint: Use C for cost and n for the number of people. C = ________
How much should Charlie charge to rent the hall for 50 people? What about 100 people?
Rearrange your formula to express n in terms of C (rewrite your formula to solve for n)
How many people could attend a wedding reception if the planners have a budget of:
$4000
$2000
Answer:
Formula: C= $15n + $250
50 People: $1000
100 People: $1750
Formula: n= (C- $250)/ 15
$4000 Budget: 250 Guests
$2000 Budget: 116.67 Guests
Step-by-step explanation:
Since the rental is $250 with an additional charge of $15 per person, we write this as C = $250 + $15n.
With the given equation, simply substitute n for the amount of guests.
C = $250 + $15(50) = $1000
C = $250 + $15(100) = $1750
To solve for n, everything would need to be moved to isolate n. This can be achieved by first subtracting $250 from each side: C- 250= 15n
Then divide both sides by 15, making the new equation: (C-250)/15 = n
Again, substitute C with allowed cost to find the amount of guests allowed.
n = ($4000- 250)/ 15 = 250 People
n = ($2000-250)/15 = 116.67 People
Evaluate 13 - 0.75w+8x when w=12 and x= 1 over 2
Answer:
8
Step-by-step explanation:
Given:
13 - 0.75w + 8x
where,
w = 12
x = 1/2
13 - 0.75w + 8x
Substitute the value of w and x into the equation
= 13 - 0.75(12) + 8(1/2)
= 13 - 9 + 8/2
= 13 - 9 + 4
= 8
Therefore,
13 - 0.75w + 8x = 8
Choose which group of measures would go along with the data set below.
11,13,11,9,8,4,7,7,11,9
1.
Range—4
Mode—8
Median—9
Mean—9
2.
Range—5
Mode—9
Median—7
Mean—7
3.
Range—9
Mode—11
Median—9
Mean—9
4.
Range—12
Mode—8
Median—9
Mean—9
need help please! i’m stuck
Answer:
Step-by-step explanation:
stuck under the bed??
lemme jus quickly pull you back....lol
please help me out in this account question I have exams tomorrow I have linked the question here
Answer: 70,900 Rs
Step-by-step explanation:
8400
8000
2000
10000
40000
3000
+ 500
71900
- 1000
70900
= 70,900 Rs
Which of the following is an arithmetic sequence?
O A. 1,3,9,27,..
O B. 1,0,1,0,1,0,...
O C. 800, 200, 50,...
O D. 10.7.4 1.-2...
Answer:
a
Step-by-step explanation:
Answer:
The answer would be D.
Step-by-step explanation: Hope this helps and gl :)
I kinda need help
What is the fraction 1/4 in decimal form?
I need help with this one to
Solve 3^3
Answer: easy
Step-by-step explanation: 0.25 there
20% of 2kg ( in g).
Please help
Answer:
[tex]{ \tt{ = 20\% \times 2}} \\ = 0.4 \: kg \\ { \tt{ = 400 \: grams}}[/tex]
Answer:
400 g
Step-by-step explanation:
0.20 x 2 kg = 0.4 kg
0.4 kg x (1000g / 1kg) = 400 g
The list shows the number of points Emma scored in eight basketball games.
5, 11, 9, 9, 4, 5, 6, 7
Find the mean.
Answer:
Mean = 7
Step-by-step explanation:
Given the following data;
Number of games = 8
Scores = 5, 11, 9, 9, 4, 5, 6, 7
We would sum all the scores together to get a total score.
Total scores = 5 + 11 + 9 + 9 + 4 + 5 + 6 + 7 = 56
Now, to find the mean;
[tex] Mean = \frac {total \; scores}{number \; of \; games} [/tex]
Mean = 56/8
Mean = 7
Answer:
7 is the mean score.
Step-by-step explanation:
Now we have to,
→ find the required mean score.
The given scores are,
→ 5, 11, 9, 9, 4, 5, 6, 7
→ Numbers = 8
Then the mean score will be,
→ (5 + 11 + 9 + 9 + 4 + 5 + 6 + 7)/8
→ 56/8 = 7
Hence, the mean score is 7.
Which formula gives the coordinates of the midpoint of the segment connecting points (a, b) and (c, d)?
attached below is the options
this is worth 100 points
Step-by-step explanation:
the correct answer is
a. { ½(c-a), ½(d-b) }
________________
General formula
((x_1+x_2)/2,(y1+y2)/2)So
Here
for (a,b) and (c,d)
Midpoint
((a+c)/2,(b+d)/2)Option A
Simplify (5np3)3
Question shown as picture
Answer:
[tex]125 {n}^{3} {p}^{9} [/tex]
draw a graph for the equation above
Answer:
look at image given
Step-by-step explanation:
im assuming the -3 is seperate :p
What is the slope of the line with equation y−3=(x−2)?
A coordinate plane with a line passing through the points at (2, 3) and (4, 2).
–2
–negative StartFraction one-half EndFraction.
StartFraction one-half EndFraction
2
Answer:
B on edge 2021
Step-by-step explanation:
does anyone know how to solve this?
Answer:
[tex] { \boxed{ \tt{f(x) = 5 \cos3x \degree}}} \\ { \green{f(x) = f(60) : x = 60}}\\ f(60) = 5 \cos(3 \times 60) \degree \\ f(60) = 5 \cos(180 \degree) \\ but \: \cos(180 \degree) = - 1\\ { \boxed{ \bf{answer : f(60) = - 5}}} \\ \\ { \underline{ \blue{becker \: jnr}}}[/tex]
find the value of x, y, v and w
Now,
x + 35° = 180° ( Co - interior angle )
◆ x = 145°
Then,
◆ y = x = 145° ( Vertically Opposite angle )
Again,
v + 43° = 180° ( Co - interior angle )
◆ v = 137°
Then,
v + w = 180° (Co - interior angle )
137° + w = 180°
w = 180° - 137°
◆ w = 43°
I hope it's help you...
Mark me as brainliest...
Maria has made $28 selling bracelets at a craft fair. She spends $52 on supplies to make the bracelets. She sells each bracelet for $3. Which inequality can Maria use to find how many more bracelets she needs to sell to make more money than she spent on supplies. A. 3x + 52 < 28 B. 28x +3 >52 C. 3x + 28 < 52 D. 3x +28 > 52
Answer: D. 3x +28 > 52
Step-by-step explanation:
Based on the information given, the inequality that Maria can use to find how many more bracelets she needs to sell to make more money than she spent on supplies will be calculated thus:
With the question above, the total sales must be greater than the amount spent on supplies. Let the number of bracelets that needs to be sold be represented by x.
Therefore, (3 × x) + 28 > 52
= 3x + 28 > 52.
We can calculate further
3x > 52 - 28
3x > 24
x > 24/3
x > 8
Therefore, 9 or more bracelets needs to be sold since x is greater than 8.
Therefore, the correct option is D 3x +28 > 52
Answer:
D. 3x + 28 > 52
Step-by-step explanation:
gregory wants to buy a new video game system priced at $179.00. if the sales tax is 6%, what is the total amount he will pay for the video game system
Answer:
$189.74
Step-by-step explanation:
Since the sales tax is 6%,
179x0.06=10.74
Add to the starting price, 179.00+10.74=189.74!
I hope this helped!
Which of the following is a geometric sequence?
O A. -2, 6, 14, 22, ...
O B. 6, 13, 19, 24, ...
O c. 11, 16, 21, 26, ...
O D. -3,3, -3, 3, ...
Answer:
O B. 6, 13, 19, 24,
Step-by-step explanation:
because this is the correct answer
Triangle ABC is similar to triangle DEF. Find the measure of side EF. Round your
answer to the nearest tenth.
B
50
F
D
41
HELP PLEASEEEE
Answer:
83.5units
Step-by-step explanation:
Find the diagram attached
Since both triangles are similar, then;
AB/DB = BC/EF
11/54 = 17/EF
Cross multiply
11EF = 17 * 54
11EF = 918
EF = 918/11
EF = 83.5
Hence the length of EF to the nearest tenth is 83.5units
BRAINLIEST TO WHOEVER IS CORRECT!!!
Write an equation that represents the line.
Use exact numbers.
Answer:
y=[tex]-\frac{4}{3}[/tex]x+2
Step-by-step explanation:
To write the equation for this line, we are going to use slope-intercept form, which is written as
y=mx+b.
Here are the meanings of each variable:
y= basically the "name" of the function and it always stays as y.
m= slope, which is rise over run.
x= variable that is always on the right of the slope and it always stays as x.
b= y-intercept, or the value that crosses the y-axis.
We will substitute numbers into the equation along the way. The first thing we will want to do is find b, which is the easiest.
The line crosses the y-axis at 2, so that is our value of b.
Our new equation is
y=mx+2.
Next, we will find the slope. The most efficient way of doing this is looking at the lowest point that is already provided, (3, -2), and finding a way to rise and run to the highest point, (0, 2).
If you look closely at the graph, we need to rise up 4 and run over -3 to get to the other point. Therefore, the slope is [tex]-\frac{4}{3}[/tex], and we can substitute it into our equation, which is completed and is now
y=[tex]-\frac{4}{3}[/tex]x+2
I hope this helps you out!! Have an awesome day ^^
Rishaun ran a prize booth at a professional basketball game. He helped guests spin a spinner and then handed them the prizes the spinner landed on. After 400 guests spun the wheel he had collected the following data.
Which of the following is most likely to happen if another 200 guests spin the spinner?
ticket to future game
Step-by-step explanation:
it is because guest won a lot of notepad and mini baseketball so there is chances where ticket to future game still available a lot .
please answer this 2 question
Answer:
Step-by-step explanation:
AP 1 : 12, 15 , 18 , 21, 24, 27, 30 , 33 , 36, 39,.....
AP 2 : 17 , 21 , 25 , 29, 33, 37 , 41, 45,.....
AP formed with the common terms: 21, 33, 45 , ......
a = 21 , d = 33-21 = 12 ; n = 100
Sum = [tex]\frac{n}{2}(2a +(n-1)d)[/tex]
[tex]=\frac{100}{2}[2*21+99*12]\\\\=50 * [42+1188]\\\\=50*1230\\\\= 61500[/tex]
algebra help please answer
Answer:
Answer is 1st and Last
Step-by-step explanation:
Because if you use logic you should know why
