Answer:
x = 7
y = 11
Step-by-step explanation:
Given the system;
y = 2x - 3
x + y = 18
1. Approach
The easiest way to solve this system of equations is to solve the second equation for the variable (y). Then add the systems, use algebra to solve for the value of (x), then substitute that value back into one of the original equations to solve for the value of (y). Another name for the method in use is the method of elimination, this is when a [erspm manipulates one of the equations in a system of the equation such that when they add the equations, one of the variables eliminatates. Thus, they can solve for the other variable and the backsolve for the value of the unknown variable.
2. Solve one of the equations for a variable
Manipulate the system such that each equation is solved for the same variable,
x + y = 18
Inverse operations,
x + y = 18
-18 -18
x + y - 18 = 0
-y -y
x - 18 = -y
3. Use elimination
Now substitute this back into the original system,
y = 2x - 3
-y = x - 18
Add the systems,
y = 2x - 3
-y = x - 18
_________
0 = 3x - 21
Inverse operations,
0 = 3x - 21
+21 +21
21 = 3x
/3 /3
7 = x
4. Find the value of the unknown variable
Backsovle to find the value of (y),
x + y = 18
Substitute,
7 + y = 18
Inverse operations,
7 + y = 18
-7 -7
y = 11
Answer:
X=3 Y=15
Step-by-step explanation: First you need to use the problem 18/2=x to find the value of x. Now to find the value of y, you need to subtract 3 from 18. Then you solve
15=2(9)-3 15+3=18
10. An arithmetic sequence has this recursive formula. What is the explicit formula?
Answer:
[tex]a_{n}=45-3n[/tex]
Step-by-step explanation:
Method 1:
Arithmetic sequence is in the form
[tex]a_{n} =a_{1} +(n-1)d\\[/tex]
d is the common difference, can be found by:
[tex]d=a_{n}-a_{n-1}=-3[/tex]
Subtituting the [tex]a_{1}[/tex] and [tex]d[/tex]
You get:
[tex]a_{n}=42+(-3)(n-1)=45-3n[/tex]
Method 2 (Mathematical induction):
Assume it is in form [tex]a_{n}=45-3n[/tex]
Base step: [tex]a_{1} =45-3(1)=42[/tex]
Inducive hypophesis: [tex]a_{n}=45-3n[/tex]
GIven: [tex]a_{n+1} =a_{n}-3[/tex]
[tex]a_{n+1}=45-3n-3=45-3(n+1)[/tex]
Proved by mathematical induction
[tex]a_{n}=45-3n[/tex]
At a football stadium, 20% of the fans in attendance were teenagers. If there were 350 teenagers at the football stadium, what was the total number of people at the stadium?
Answer:
The answer is 1750
Step-by-step explanation:
Because 20% of 1750 is 350
Answer:
1750 is the total number of people at the stadium
help me with this problem
what is
0.96÷10 with the power of 4
Answer:
0.00008493465
Step-by-step explanation:
This is your answer.
Answer:
10 to the power of 4 equals to 10,000
so it would be 0.96 ÷ 10,000
which would be
0.000096
take what you will have a nice day <:
Can u pls help me?? I need so much help on this and im so sorry for posting a lot
Answer:
B
Step-by-step explanation:
Congruent means same shape and same size. So congruent has to do with comparing two figures, and equivalent means two expressions are equal. So to say two line segments are congruent relates to the measures of the two lines are equal.
Since you already had angle N and O, B would be correct because they have the same shape and size.
The scale factor from rectangle Y to rectangle Z is 2. Which statement is true?
A) The area of rectangle Z is twice the area of rectangle Y.
B) The area of rectangle Z is half the area of rectangle Y.
C) The sides of rectangle Z are twice as long as the sides of rectangle Y.
D) The angles of rectangle Z are twice as big as the angles of rectangle Y.
Answer:
Answer is C not A
plzz i need help!!!! Which maps triangle ABC to similar triangles
Answer:
B
Step-by-step explanation:
Triangle ABC and it's transformation Triangle A'B'C are shown describe the transformation.
y=3x+14
2x-3y=-14
Substitution method
Answer:
x = -8
Step-by-step explanation:
y = 3x + 14
2x - 3y = -14
So, what is the substitution? Y of course, this is because y is equal to 3x + 14.
2x - 3 (3x + 14) = -14
Multiply 3 with the numbers in the parentheses.
2x - 9x + 42 = -14
So you maybe be wondering why it is a negative 7 instead of subtracting 9 with 2. Using PEMDAS, we always read from left to right. So it is basically 2 -9 and you get -7.
-7x + 42 = -14
Then subtract 42 from both sides.
-7x + 42 - 42 = -14 - 42
Simplify
-7x = -56
Divide 7 by both sides.
-7x / 7 = -56 / 7
x = -8
And you might ask, why we get x instead afterwards. This is because both -7 and 7 cancel each other out leaving us with x.
Christopher purchased 3 4/12 lbs. of grapes and Deborah purchased 1 6/12 lbs. of grapes. How many total pounds of grapes did they purchase?
Answer:
They purchased 4.83 pounds together
Step-by-step explanation:
Worked it out on paper its 4.83
One batch of cookies requires two eggs and two and a half cups of flour. How many cups of flour are needed to make three and a half batches of cookies? Write and solve a proportion.
Answer:
multiply 2 1/2 and 3 1/2
Step-by-step explanation: :)
Answer:
im hungry now.
Step-by-step explanation:
Plsssssss help meeeeeee
1.
total surface area Stot = 20.4924225 cm2
lateral surface area Slat = 16.4924225 cm2
bottom surface area Sbot = 4 cm2
2.
total surface area Stot = 46.1079506 ft2
lateral surface area Slat = 37.1079506 ft2
bottom surface area Sbot = 9 ft2
3.
total surface area Stot = 95.0467761 ft2
lateral surface area Slat = 68.0067761 ft2
bottom surface area Sbot = 27.04 ft2
He served the interests of the mid-western states.
Answer:
is this supposed to be a question?
Step-by-step explanation:
Yes. Absolutely. Correct. Outstanding.
I need help... plzzzz
Answer:
A and B
Step-by-step explanation:
Because they match the given.
7+(-10)=? please answer this quetion! (Owner three!)
Answer:
-3
Step-by-step explanation:
7+(-10)
Find the absolute value!
(-10) = 10.
7-10 = -3
Have a good day!!
Hope this helps!!
arnita swims in a pool that is 50 meters long. everyday arnita swims 10 lengths of the the pool. After 5 days, how many kilometers has arnita swum?
Answer:
After 5 days Arnita has swum 2.5 kilometers.
Step-by-step explanation:
50 x 10 = 500 lengths of the pool per day
500 x 5 = 2,500 meters
2,500 meters = 2.5 kilometers
is searching online for airline tickets. Two weeks ago, the cost to fly from boston to hartford was $300. Now the cost is $375. What is the percent increase? What would be the percent increase if the airline charges an additional $50 baggage fee with the new ticket price?
Answer:
25% and 42%
Not sure how to explain it.
Answer:
Step-by-step explanation:
If you don't want to see steps
Answer in order: 25% then 40%
(Copying from notes I've had from 5th grade)
1.Percent of Change
Step 1 subtract the two values
Step 2 Divide the original amount answer will be a Decimal
Step 3 Convert Decimal to %(percent) by moving decimal two times to the right.
Your welcome.
Giving brainliest!
. Describe the allegorical characteristics that Scrooge and Bob Cratchit represent.
Its from the book A Christmas Carol If you know the book answer if not you can go bu pls help. Also this was a movie.
Four triangles are shown. Based on these triangles, which statement is true?
Answer:
First one
Step-by-step explanation:
100+30=130 That is the rule for finding w
And z=50
Answer: the first one
Step-by-step explanation:
PLEASE HELP
Suppose that a sequence is defined as follows. And find the next 4 terms. a1= -1 an=-4an-1 +2 n>= 2
-1., 1, 2, 2
Step-by-step explanation:
A term is a single mathematical expression. It may be a single number (positive or negative), a single variable ( a letter ), several variables multiplied but never added or subtracted. Some terms contain variables with a number in front of them.
Please answer you will get 10 points.
Answer:
your answer will be 126
Step-by-step explanation:
8x+78=2x+114
8x-2x=114-78
6x=36
x=36/6=6
<B=2(6)+114
= 126
7x + 9 = 58 i need all the steps
Answer:
Step-by-step explanation:
7x + 9 = 58
-9 -9 Subtract 9 from both sides
7x = 49
/7 /7 Divide both sides by 7
x = 7 (this is an apporximation)
Answer:
7
Step-by-step explanation:
1st you need to subtract 9 from both sides like this: 7x+9-9=58-9. and you'll get 7x=49. Then, divide by 7 on both sides like this: 7x/7=49/7. and you'll get x=7.
Write the equation of the line in slope-intercept form using y=mx+b
Help me please
I need this done in 20 minutes!!
Answer:
the answer is 368
Step-by-step explanation:
if you dived 405 by 0.36 or 36% you get 1,125 and then you subtract 405 and 352 and you get your answer
whats with these random people always answering with "cutlnk.ml/0tj3C" pls ♂️
i dunno why i dont click the links since they are kinda sus and also why doesn't brainly just ban the cutlink
plz help will give out brainliest
Which figure correctly shows a vertical reflection of the illustration?
Answer:
the first picture
Step-by-step explanation:
Helppppp!!!!!!!!!!!! Which of the following number sentences models the Associative Property of Multiplication?
A. 80 x 5 = (40 x 5) + (40 x 5)
B. (11 x 6) x 7 = 11 x (6 x 7)
C. 3 x 4 x 2 = 2 x 4 x 3
D. 44 x 1 = 44
Also who wants to play Minecraft Education Edition with me? I will give brainliest for that person.
Steps: Go search up Minecraft Education Edition. Then go to the website. Sign up. Create a world and then host a game. Give me a code or ask me to invite you to my world. (Trust me, use my world. It's awesome!)
Answer:
b
Step-by-step explanation:
because I learned this like 4 years ago
Answer:
Ahh I think A
Step-by-step explanation:
A. 63°
B. 95°
C. 117°
D. 148°
Answer:
A.63
Step-by-step explanation:
add 85+32
= 117
Total for a trianlge is 180,
Subtract 180 from 117.
180-117 = 63.
i need help pleaseee
Answer:
The answer is option B.
Step-by-step explanation:
PLEASE HELP I GIVE BRAINLIEST I NEED IT ASAP
Answer:
D 13
Step-by-step explanation: L+L+W+W=Perimeter
2(1/4x)+2(2x+1)=4.5x+2
4.5x+2=29 Subtract 2
4.5x=27 Divide by 4.5
x=6 1/4(6)= 1.5 W=1.5 1.5(2)=3
2(6)+1=13 13(2)=26
26+3=29inches perimeter
Answer:
A: 12 4/9
Step-by-step explanation:
1/4x (2x + 1) = 29 (Combine like terms, NOT distributive property!!!)
2 1/4x + 1 = 29
- 1 - 1
2 1/4 / 2 1/4x = 28 / 2 1/4
x = 12 4/9
What is the slope between these two points (1,2) and (4,4)?
plss help
Answer:
slope is 2 over 3
Step-by-step explanation: