Solve system of equation algebraically
y = 2x - 3
x + y = 18
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
Cross sections that can be seen when a plane intersects a cone but not when it intersects a pyramid or prism are . please help me
Answer:
The cross section can be:
1. A circle
2. An ellipse
3. A parabola
4. A hyperbola
Step-by-step explanation:
4p - 5 = 19 i need the steps to solve it
PLEASE ANSWER URGENT
Answer:
13. B
14. 10.4 = x + 2.6
15. 7.8
16. The amount that was already in the pitcher
Step-by-step explanation:
Dose anybody know these and can Answer PLZ: Sorry if its a lot , you dont have to answer all but it would be helpful
Hank is throwing a surprise party. The party costs $20 per person. Create an equation and graph to represent the relationship between the cost of the party and the number of friends attending.
The independent variable is ____.
A. Number of friends (f)
B. Cost of party (c)
The equation __________ can be used to represent this relationship.
c = 20f
f = 20c
c = 10f
f = 10c
Hank is throwing a surprise party. The party costs $20 per person. Create an equation and graph to represent the relationship between the cost of the party and the number of friends attending.
If 50 people attend, what is Hank's cost? $_____
Complete the following table:
Number of friends (f) *? 10 *? 20
Cost of party (c) 100 *? 300 *?
Plots the points from the table onto the graph
Answer:
b.cost of party
c=20f
Step-by-step explanation:
so we know the equation we have to use is c=20f
for part 2 we have to find out how much it's going to cost hank if 50 people attend his party;
so we know that 'c' is our unknown variable; now we write the equation filling in the 'blanks' with what we know-
c=20*50
now we multiply **remember that when you have a number and a letter right next to each other that they're being multiplied**
20*50
=1000
so hank will be spending $1000
good luck :)
hopefully, this helps
sorry i couldn't answer the last question
have a nice day !!
Could someone help? I will give brainliest!!
Answer:
52 square units
Step-by-step explanation:
Answer:
80
Step-by-step explanation:
Write the equation of the line in slope-intercept form using y=mx+b
50 POINTS AND BRAINLY
(asked again because i forgot something)
Answer:
m = 180 - 67 (angles in a straight line are supplementary)
m = 113° [option D]
Draw a number line and mark on it, if possible, all described points: Numbers that are larger than 2 and smaller than 5.
Answer:
Therefore, all the numbers defined so far are subsets of the set of real numbers. ... Next, choose any point to represent the number zero; this point is called the ... lengths on both sides of the origin and label each tick mark to define the scale. ... to see that −1 is greater than −5 until we graph each number on a number line.
Step-by-step explanation:
Answer:
Therefore, all the numbers defined so far are subsets of the set of real numbers. ... Next, choose any point to represent the number zero; this point is called the ... lengths on both sides of the origin and label each tick mark to define the scale. ... to see that −1 is greater than −5 until we graph each number on a number line.
Step-by-step explanation:
ANSWER QUICLKY PLEASE!
Answer:
2/6
Step-by-step explanation:
4/12=x/6
4/12 simplified = 2/6
2/6x2= 4/12
Answer:
2/6
Step-by-step explanation:
12/2=6
4/2=2
a car travels 45 miles and uses 3 gallons of gas. what is the unit rate for miles per gallon. HELP
Answer:
15 miles per gallon
Step-by-step explanation:
If a car travels 45 miles and uses 3 gallons of gas than to find how many miles can be traveled using 1 gallon, you do 45/3, miles/gallons to get 15 miles/1 gallon.
Hope this helps,
-Shaylee
To make 3 cups of rice, Nina needs 5 cups of water. To make 9 cups of rice, she needs 15 cups of water. Write this as a proportion.
15 POINTS AND BRAINLIEST IF YOU ANSWER IN 5 MINS
The two triangles below are similar. Which pair are corresponding sides?
Triangle L M N. Side L M is 7, M N is 5, L N is 4. Triangle P Q R. Side P Q is 8.8, Q R is 11, R P is 15.4.The two triangles below are similar. Which pair are corresponding sides?
A) LN and MN
B) MN and RQ
C) LM and QR
D) LM and PQ
The pair of corresponding sides of triangles are,
⇒ MN and RQ
Option B is true.
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
Triangle LMN,
Side LM is 7, MN is 5, and LN is 4.
And, Triangle PQR,
Side PQ is 8.8, QR is 11, RP is 15.4.
Here, Two triangles are similar.
Hence, The pair of corresponding sides of triangles are,
⇒ MN and RQ
Option B is true.
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ill give brainliest i need help
Answer:
Step-by-step explanation:
22xpie=
69.08
The price of an item was reduced 25% to $30. What was the original price of the item?
thank you!
Plzzzzzzzz help meeeeee
Answer:
1-120 in. 2-16cm 3-27 m
Step-by-step explanation:
Please be mad if im wrong
Answer:
Number 1 is: 120
Number 2: is 42
Number 3 is:27
Step-by-step explanation:
How to solve number 1 is to multiply 4 times 5 then multiply it by 6 and that is how you get 120
How to solve number 2 Multiply 3 times 2 then you get 6 then you do 6 times 7 and that is how you get 42
How to solve number 3 Multiply 3 times 3 then you get 9 then 9 times 3 equals 27
That is how you solve hope this help :)
It would be great if you gave brainlist
Simplify the following expression by combining like terms. Select the most simplified expression:
Answer:
A) 24 - 3p
Step-by-step explanation:
Distribute 6 through parenthesis
24 - 12p + 9p
then collect like terms
24 - 3p
1. Simplify the expression and show each step.
6x+1 -(3x-1
2. Which expression is equivalent to
(3x-1)-2.75(x+2
3. Matt and his friends paid $30 for 4 sandwiches and 4 bottles of water. Each sandwich cost the same amount. The bottles of water cost $2 each. how much does the sandwich cost
Answer:
1. 3x + 2
2. 0.25x - 6.5
3. $5.50 per sandwich
Step-by-step explanation:
1.
6x + 1 - (3x - 1)
PEMDAS says solve everything in the parentheses first
There is nothing left to simplify within the parentheses.
Since there's also no exponents, multiplication, or division, let's combine like terms starting from left to right
6x - 3x + 1 + 1
Negative + Negative = Positive, hence why it became 1 + 1
3x + 2
2.
(3x - 1) - 2.75 (x + 2)
PEMDAS says to do multiplication next (since parentheses are fully simplified and there are no exponents)
(3x - 1) - 2.75x - 5.5
Negative + Positive = Negative, hence why it became -5.5
3x - 1 - 2.75x - 5.5
Combine like terms
3x - 2.75x - 1 - 5.5
0.25x - 6.5
3.
Set up an equation:
Variable x = cost of sandwiches
4x + 4(2) = 30
4x + 8 = 30
Subtract 8 from both sides to isolate the variable
4x + 8 - 8 = 30 - 8
4x = 22
Divide both sides by 4
4x ÷ 4 = 22 ÷ 4
x = 5.5
$5.50 per sandwich
Does anyone know the answer to this and how to solve it?
One fourth of a number, decreased by 10, is -50. Find the number.
Answer:
X=-160
Step-by-step explanation:
Answer:
-160
Step-by-step explaination:
-50 + 10 = -40
1/4 of what equals -40?
-160
So,
-160 x 1/4 = -40
-40 - 10 = -50
You are welcome for the answer, hope it helps, sorry if it doesn't or it is too late.
The length of side AC in AABC is 5 units.
5
ty
4
3
2.
1
A
B
0
0
Х
5
1
2.
3
4
What is the perimeter of AABC?
A 12 units
B. 13 units
C 15 units
D. 16 units
The solution is, 12units is the perimeter of AABC.
Here, we have,
Perimeter of ∆ABC = AB + BC + AC
Formula: distance= √(x_2-x_1)²+(y_2-y_1)²
Distance between A(1, 1) and B(4,1):
Where,
AB = √(4-1)^2 + ( 1-1)^2
AB = 3 units
Distance between B(4,1) and C(4,5)
Where,
BC = √(4-4)^2 + (5-1)^2
BC = 4 units
and, we have,
AC = 5 units
so, we get,
Perimeter of ∆ABC = 3+4+5
= 12 units
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Your class has adopted two equal sections of a highway to keep clean. The combined length is 6/7 of a mile. How long is each section?
A.) 1/7 mile
B.) 3/7 mile
C.) 1/6 mile
D.) 9/11 mile
help this is due tommorow!!
I just need to find quadrant 1 and 3 for that set of numbers!
Answer:
Mathematics at Louisiana State University for their support in the ... Lesson 1: Positive and Negative Numbers on the Number Line—Opposite ... from Grade 5 of plotting points in the first quadrant and transition to locating ... Find and position integers and other rational numbers on a horizontal or ... tomorrow's water level.
Step-by-step explanation:
What is the absolute value of 19.8?
Answer:
19 4/5
Step-by-step explanation:
Answer:
19.8
Step-by-step explanation:
if the number inside the abs value bracket is positive, it will be the same number, or it will be the positive form
if its negative, it will turn positive
Please help once again!!! I need it ASAP!!! It's due very soon!!!
Find the measures of the following angles given in the diagram below.
Answer:
1st Question:
m<1 = 90°
m<2= 79°
m<3= 101°
2nd Question:
m<1=97°
m<3=83°
m<6=83°
Step-by-step explanation:
1st Question :
m<1 is a right angle.
m<2 is 79° because of parallel line denote the same angle.
m<3 is 101° because 180°-79°=101°.( As we know sum of angles in a straight line = 18° degree. )
2nd question:
m<1 is 97° because sum of angles in a straight line = 180°
So, 180°-83°=97°
m<3 is 83° because sum of parallel sides are equal.
m<6 is 83° because sum of parallel sides are equal.
please help i will give brainliest
Answer: B I had a scene answer like that the correct answer is B
Solve this function
y = 2x + 7
Cameron is selling boxes of cookies.
His goal is to sell more than 5 boxes.
Which graph shows how many boxes Cameron must sell in order to reach his goal?
Answer:
The 3rd one I think
Step-by-step explanation:
try it out, good luck
Which of the following scatter plots shows the strongest correlation
Answer:
the first one
Step-by-step explanation:
the reason this is because it is showing a linear graph and when it comes to correlation it has to be linear
The scatter plots shows the strongest correlation in graph A. Therefore, option A is the correct answer.
What is scatter plot?Scatter plots are used to observe and plot relationships between two numeric variables graphically with the help of dots. The dots in a scatter plot shows the values of individual data points.
A strong positive or negative correlation graph is where the line touches or is very close to every data point, and the line has a positive or negative slope.
From the graph A, we can see the points are closely aligned.
Therefore, option A is the correct answer.
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Which expression is equivalent to 5(4x + 12) + 3x + 2?
Answer: 23x + 62
Step-by-step explanation: First multiply 5 and 4x which you should get 20x, then multiply 5 and 12 which is 60 and add it to your expressions which looks like 20x + 60 + 3x + 2. Then your going to add 60 and 2 and get 62, lastly add 20x and 3 together and get 23x, So your new expression should look like 23x + 62
-2x-10=2x+14 i need all the steps
Answer:
x = -6
Step-by-step explanation:
1. always group the unknowns in this case, we 'bring' over the -2x to the right side so it becomes
-10 = 2x + 2x +14
2. Move 14 to the left side,
-10 - 14 = 2x + 2x
3. Carry out addition on both sides,
-24 = 4x
4. Simplify: since 24 is divisible by 4, so we divide 4 on both sides
-6 = x
Answer: x=-6.
Step-by-step explanation:
First, we need to choose an x side, and a non-x side. Let's choose the right side as the x side since it's coefficient of x is greater than that of the left side. So, we add 2x on each side to get rid of the x on the left side. Now, we have -10=4x+14. Next, we should subtract 14 from each side to get rid of the non-x terms on the right side. Now, we are left with -24=4x. Finally, we can divide by four on each side to get x=-6.