[tex] \begin{cases} 6x - 2y = 10 \\ x - 2y = - 5 \end{cases}[/tex]
Solve the system of equations by eliminating either x-term or y-term. We will eliminate the y-term as it is faster to solve the equation.To eliminate the y-term, we have to multiply the negative in either the first or second equation so we can get rid of the y-term. I will multiply negative in the second equation.
[tex] \begin{cases} 6x - 2y = 10 \\ - x + 2y = 5 \end{cases}[/tex]
There as we can get rid of the y-term by adding both equations.
[tex](6x - x) + ( - 2y + 2y) = 10 + 5 \\ 5x + 0 = 15 \\ 5x = 15 \\ x = \frac{15}{5} \longrightarrow \frac{ \cancel{15}}{ \cancel{5}} = \frac{3}{1} \\ x = 3[/tex]
Hence, the value of x is 3. But we are not finished yet because we need to find the value of y as well. Therefore, we substitute the value of x in any given equations. I will substitute the value of x in the second equation.
[tex]x - 2y = - 5 \\ 3 - 2y = - 5 \\ 3 + 5 = 2y \\ 8 = 2y \\ \frac{8}{2} = y \\ y = \frac{8}{2} \longrightarrow \frac{ \cancel{8}}{ \cancel{2}} = \frac{4}{1} \\ y = 4[/tex]
Hence, the value of y is 4. Therefore, we can say that when x = 3, y = 4.
Answer Check by substituting both x and y values in both equations.First Equation
[tex]6x - 2y = 10 \\ 6(3) - 2(4) = 10 \\ 18 - 8 = 10 \\ 10 = 10 \longrightarrow \sf{true} \: \green{ \checkmark}[/tex]
Second Equation
[tex]x - 2y = - 5 \\ 3 - 2(4) = - 5 \\ 3 - 8 = - 5 \\ - 5 = - 5 \longrightarrow \sf{true} \: \green{ \checkmark}[/tex]
Hence, both equations are true for x = 3 and y = 4. Therefore, the solution is (3,4)
Answer[tex] \begin{cases} x = 3 \\ y = 4 \end{cases} \\ \sf \underline{Coordinate \: \: Form} \\ (3,4)[/tex]
If 10 people can paint a fence in 3 days, how long would it take 6 people?
Answer:
5 days.
Step-by-step explanation:
By proportion it will take (10/6) * 3
= 30 /6
= 5 days.
see the picture below to answer will give brainlyiest. Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Place the indicated product in the proper location on the grid.
3a2 · 2a3
Answer:
3a² · 2a³= 72a
Step-by-step explanation:
For each sequence, determine whether it appears to be arithmetic.
If it does, find the common difference.
look at pictures plss helppp asap
lan often takes his dog to the park. He estimates that 30% of the other dogs
he sees are retrievers, 20% are terriers, and 20% are German shepherds. He
designs a simulation.
Let 0, 1, and 2 represent retrievers.
Let 3 and 4 represent terriers.
Let 5 and 6 represent German shepherds.
Let 7, 8, and 9 represent other dogs.
The table shows the simulation results.
Answer:
0.60 if it is shepherd!
Step-by-step explanation:
The fractions 2/5 and 4/10 are equivalent.
A. True
B. False
Answer:
its false
꧁hope its help꧂
ฅ^•ﻌ•^ฅ #
There were 60 people on bus. 40% were female. How many people were females and how many were males?
Answer:
There were 24 females and 36 men on the bus
Step-by-step explanation:
To find the amount of females on the bus you multiply the 60 passengers by 0.4 to mimic the 40% and you get 24. So there were 24 females and to find the men you simply subtract 24 and 60 to get 36
What is the boundary line for the linear inequality 4x + 2y < 18?
Answer:
Simplifying
x = 4.5 + -0.5y
Step-by-step explanation:
The boundary line of the inequality is intersecting the x-axis at 4.5.
The given inequality is 4x + 2y < 18.
What is the boundary line for linear inequality?A linear inequality divides the coordinate plane into two halves by a boundary line where one half represents the solutions of the inequality. The boundary line is dashed for > and < and solid for ≤ and ≥. The half-plane that is a solution to the inequality is usually shaded.
Graph the inequality by finding the boundary line, and then shading the appropriate area.
Now, 4x + 2y < 18 can be written as y<−2x+9.
The boundary line of the inequality is given below.
The boundary line of the inequality is intersecting the x-axis at 4.5.
To learn more about the inequalities visit:
https://brainly.com/question/17675534.
#SPJ2
Estimate each sum or difference 7 1/9 + 8 2/5
Answer:afvStep-by-step explanation:
I do nit no wht to do help
Answer:
B
Step-by-step explanation:
because dividing is opposite of multiplying so u can use that to check your answer
Mike is about 1.6 meters tall. A rock is about 2.3 x 10-² meters tall.
About how many times shorter is the rock compared to Mike?
A.1,400
B.700
C.140
D.70
Answer:
The answer to the equation should be C
What is a better buy.
A 12-pack of Pokemon cards for $8.50
or
A 6-pack of Pokemon cards for $5.75
Answer:
12 pack is better
Step-by-step explanation:
It is better because it's just a little more money and it has more packs then 6 pack.
Which of the following is a statistical question? A. How many pets do each of the students in my math class have? B. How many miles did I run today? C. How much does my cat weigh? D. How many students are in my math class?
Answer:
Okay so the answer is not B. How many miles did i run today.
Step-by-step explanation:
georgia has 45 pencils she places all of the pencils into one or more baskets.
Answer:
one basket release you are dividing then it would be 9
can someone please help meeee ?
i need help please .........
Answer:
Step-by-step explanation:
(10^2-6^2) gives the hypotenuse of the smaller triangle therefore we get 8 units for that side.looking for the value of x
(8^2-3^2)=x^2
(64-9)=x^2
55=x^2
X=√55
SOME ONE HELP MEEE ITS TIMED
This graph shows the life expectancies of people in three Central American countries.
Life Expectancies in Central America
Answer:
b
Step-by-step explanation:
Simplify (3x - 5) - (4x + 6).
-X + 11
x + 11
-X-11
x- 11
Answer: The given expression (3x − 5) − (4x + 6) = -x - 11.
Step-by-step explanation:
Given : Expression (3x − 5) − (4x + 6).
We have to simplify the given expression.
Consider the given expression (3x − 5) − (4x + 6).
Remove Parentheses ,
we have,
(3x − 5) − (4x + 6) = 3x - 5 - 4x -6
Combining like terms, we have,
LIKE TERMS are terms having same variable with same degree.
here 3x and -4x are like term and -5 and -6 are like terms,
Simplify, we have,
= 3x - 4x - 5 - 6
= -x - 11
Thus, the given expression (3x − 5) − (4x + 6) = -x - 11.
Step-by-step explanation:
hope this helps have a nice day❤️❤️❤️❤️
Answer: The given expression (3x − 5) − (4x + 6) = -x - 11.
Step-by-step explanation:
Given : Expression (3x − 5) − (4x + 6).
We have to simplify the given expression.
Consider the given expression (3x − 5) − (4x + 6).
Remove Parentheses ,
we have,
(3x − 5) − (4x + 6) = 3x - 5 - 4x -6
Combining like terms, we have,
LIKE TERMS are terms having same variable with same degree.
here 3x and -4x are like term and -5 and -6 are like terms,
Simplify, we have,
= 3x - 4x - 5 - 6
= -x - 11
Thus, the given expression (3x − 5) − (4x + 6) = -x - 11.
Step-by-step explanation:
hope this helps have a nice day and god bless u ❤️❤️❤️❤️
Calculate the speed of a car traveling a total distance of 60 meters in 4 seconds. pls help will give brainliest
Answer:
15 meters per second
Step-by-step explanation:
60/4 = 15
Answer:
15 meters per second
List three decimal values between 2.5 and 2.6
Answer:
2.55 2.56 2.57
Step-by-step explanation:
Answer:
2.51, 2.52, 2.59
Step-by-step explanation:
Ay yo whats good bro
Is it - or + 60 plz help me
what is the product of 7/8 x 4/7
Answer:
1/2
Step-by-step explanation:
7x4= 28
8x7= 56
simplify: 28/56=1/2
Answer: 7/8 x 4/21
(7x4)/(8x21)=28/168
Let's divide the top and bottom by 7...
(28/7)/(168/7)=4/24
Let's divide the top and bottom by 4...
1/6
Step-by-step explanation:
hope this helps have a great night❤️❤️❤️❤️
.........help me please
Answer:
no veo nada xd
Step-by-step explanation:
nose
Misty runs out of gas 2 blocks from 3 gas stations. She is running late for a hair appointment that was scheduled for 10 minutes ago. Her tank can hold 12 gallons. She has $85, but needs to also use it for her hair appointment. Gas station A has free car service to wash windows and charges $2.67 per gallon. Gas station B charges $2.60 per gallon with no extra services. Gas station C has free air and charges $2.62 per gallon. What is the cheapest cost to fill Misty's tank?
Answer:
station A
Step-by-step explanation:
Given data
We are told that she has $85 and she wants to fill only her tank
station A
charges $2.67 per gallon
12 gallons will cost
=12*2.67
=$32.04
station B
charges $2.60 per gallon
12 gallons will cost
=12*2.60
=$31.2
station C
charges $2.62 per gallon
12 gallons will cost
=12*2.62
=$31.44
The cheapest is station A
Describe the mathematical process for finding the area of a rectangle triangle and circle be sure to included explain the formulas for finding the area if each shape
An angle bisector and a perpendicular bisector both divide a
geometrical shape into two equal parts. True or False
Answer:
I think it would be true.
A typical Yorkshire terrier weighs 1/6 times as many pounds as a Dalmatian. A Dalmatian weighs 54 pounds. How much does the typical Yorkshire terrier weigh?
Answer:
9 pounds
Step-by-step explanation:
1/6 is 16.67%
So 16.67% of 54 is 9
The Yorkshire terrier weighed 9 pounds.
One bottle contains 250 ml of juice. Soham wants 2 liters of juice. How many bottles should he buy?
Answer:
8 bottles
Step-by-step explanation:
Find the equation of a line with the given information:
f(- 6) = 8 and f( - 8) = – 1.
Wrote answer in point slope form
Answer:
[tex]y -8= \frac{9}{2}(x +6)[/tex]
Step-by-step explanation:
Given
[tex]f(-6) = 8[/tex]
[tex]f(-8) = -2[/tex]
Required
Determine the equation in point-slope form
The general function notation is:
[tex]f(x) = y[/tex]
So, in [tex]f(-6) = 8[/tex]
[tex](x_1,y_1) = (-6,8)[/tex]
[tex]f(-8) = -1[/tex]
[tex](x_2,y_2) = (-8,-1)[/tex]
Calculate the slope (m)
[tex]m = \frac{y_2 - y_1}{x_2-x_1}[/tex]
[tex]m = \frac{-1-8}{-8-(-6)}[/tex]
[tex]m = \frac{-1-8}{-8+6}[/tex]
[tex]m = \frac{-9}{-2}[/tex]
[tex]m = \frac{9}{2}[/tex]
The equation is then calculated as:
[tex]y -y_1= m(x-x_1)[/tex]
[tex]y -8= \frac{9}{2}(x - (-6))[/tex]
[tex]y -8= \frac{9}{2}(x +6)[/tex]
What is the midpoint of a segment with endpoints at the point negative 4 comma negative 8 and the point 8 comma 10?
Answer:
Question Answer
What is the length of a segment when the coordinates of its endpoints are (-4,5) and (-6,9)? 4.5
What is the length of a segment when the coordinates of its endpoints are (-4,5) and (-6,9)? 10.8
Step-by-step explanation:
Write the number 3.1 x 104 in standard form.