solve each system of equations using substitution. x=y+1 x=3y+2
Answer:
x=1/2
y=-1/2
Step-by-step explanation:
x = y+1
x = 3y+2
Substitution means that you solve one equation for a variable by plugging it into the other equation. In this case, the first part is already done for you, and all you have to do is plugging in.
As you're given the value of the x in both equations, it does not matter which equation you plug into. You can plug either equation into one another.
For this, I will show you by plugging in the bottom equation for the top equation.
x = y+1
x = 3y+2
As we know x=3y+2, you must SUBSTITUTE that for the "x" in the top equation.
3y+2 = y+1
From there, you must solve it for the "y" value. In order to solve for the "y" value, you must get the "y" by itself onto one side.
So, subtract y from both sides.
(3y-y)+2 = (y-y)+1
Rewrite the equation.
2y+2 = 1
Remember, the goal is to get the "y" BY ITSELF.
There's a "+2" on the side of the y, so that has to be cancelled out. You can cancel it out by doing the OPPOSITE of adding, which is subtracting. So subtract both sides by 2.
2y+(2-2)=(1-2)
When subtracting a bigger number from a smaller number. The pattern is: Keep it, flip it, flip it.
Keep the 1.
Flip the - to a +
Flip the 2 into a -2.
So you get 1+(-2) which is -1. Now, rewrite the equation.
2y=-1
You want the y by itself. Right now, the y is being multiplied by 2, so you have to do the OPPOSITE, which is division. Divide both sides by 2.
y=-1/2
Now, use this value to plug into your ORIGINAL equations (you can pick either)
x = y+1 OR x = 3y+2
x= -1/2 + 1
x=1/2
(1/2, -1/2)
how long is 74% of 60 min
A. 50
B. 35
C.45
Answer:
Its c
Step-by-step explanation:
Answer:
yes it is C
Step-by-step explanation:
A city's population is currently 100,000. If the population doubles every 80 years, what will the population be 160 years from now?
Answer:
Step-by-step explanation:
100,000 doubles to 200,000 in 80 years then 400,000 in 80 more years
400,000 because it doubles once first 80 years to 200,000 then again another 80 years to 400,000
Which figure shows a single ray
there are no figures shown.
En un mapa tienes que ir de la escuela a el mercado y del mercado a la biblioteca pero ¿Cómo se mide la distancia que hay entre cada uno de esos lugares si sale 1:10000 centímetros?
Answer:
La escala es 1 : 10000 centimetros
Eso significa que por cada centimetro que una persona mide en el mapa, en la vida real la distancia es 100 metros.
Por ejemplo, si usamos una regla para medir la distancia en el mapa y medimos que entre la escuela y el mercado hay una distancia de 7 centimetros (siguiendo las calles, no en linea recta), entonces la distancia a caminar para ir de la escuela al mercado es de 700 metros. Debemos ser cuidadosos y medir la distancia siguiendo las calles, ya que si medimos en linea recta la distancia puede ser menor, pero los humanos no volamos.
In ABC the measure of the largest angle 32 less than 3 time the smallest angle the measure of the middle angle is 8 more than half the measure of the largest angle . What is the measure of the middle angle?
Answer: The measure of the middle angle = 52°
Step-by-step explanation:
Let x = Smallest angle.
largest angle = [tex]3x-32[/tex]
Middle angle= [tex]8+\dfrac12 (3x-32)[/tex]
Sum of all angles in a triangle is 180 degrees.
So, Smallest angle+ largest angle+ Middle angle = 180°
[tex]\Rightarrow\ x+8+\dfrac12 (3x-32)+3x-32=180\\\\\Rightarrow\ 4x-24+\dfrac{3x}{2}-16=180\\\\\Rightarrow\ \dfrac{2\times4x+3x}{2}-40=180\\\\\Rightarrow\ \dfrac{11x}{2}-40=180\\\\\Rightarrow\ \dfrac{11x}{2}=220\\\\\Rightarrow\ x=\dfrac{220\times2}{11}\\\\\Rightarrow\ x= 40[/tex]
Now , Middle angle= [tex]8+\dfrac12 (3(40)-32)=8+\dfrac12 (120-32)[/tex]
[tex]=8+\dfrac12 (88)\\\\=8+44\\\\=52[/tex]
Hence, the measure of the middle angle = 52°
Look at picture please !! I really need help thank you !
Answer:
h (1,2), w (3,4), y (6,0)
Step-by-step explanation:
Reflecting across y-axis means only changing the x -value between negative and positive. Flipping the sign
Determine the type of triangle that is drawn below. ASAP
Answer:
scalene acute
Step-by-step explanation:
all side are different and all angles are acute
Answer:
The answer is scalene acute
x² – 9
x² - 2x - 15
Simplify
Answer:
x^2 - 9 = (x + 3)(x - 3) = (x - 0)^2 - 9.
x^2 - 2x - 15 = (x - 5)(x + 3) = (x - 1)^2 - 16.
I assume you mean factored form?
Which of the following expressions are equivalent to -3(2 + 7)?
Choose all answers that apply:
A) 6 + 21
B) -21 +6
C) None of the above
Answer:
-3(2+7) = -27
Step-by-step explanation:
Step 1: Solve Original Equation = -27
Step 2: Solve the Rest. A) 6 + 21= 21
B) -21 + 6= -15
Step 3: None of these answers equal the original answer (-27). Therefore making it C) None of the above.
The prime factorization of 2020 is 2² × 5¹ × 101¹. How many different whole numbers are factors of 2020?
Answer:
4
Step-by-step explanation:
1, 2, 4, 5, 10, 20, 101, 202, 404, 505, 1010
I’m confused on this question. Can anybody help?
Answer:
I believe the answer is 90
Step-by-step explanation:
Answer:
90 degrees
Step-by-step explanation:
Calculate whether an angle is 90 degrees using the Pythagorean Theorem. This well-known theorem is often phrased as "A squared plus B squared equals C squared," which indicates that the sum of the squares of lengths of the adjacent sides of a right triangle is equal to the square of the length of the hypotenuse side.
I cant figure this out.
Answer:
$1271.25
Step-by-step explanation:
Since it's continuously compounded, the 2nd formula is most appropriate.
A=Pe^rt
P = initial investment = $1000
r = rate of increase = 8% = 0.08
t = time interval in years = 3
If you put in hlthe information you should have:
A = 1000•e^(0.08)(3) = $1271.25
help me with the dang question and I will give u 15 points ma guy...
Answer:
X=10
Step-by-step explanation:
[tex] \frac{gh}{fh} = \frac{ih}{jh} \\ \frac{25}{20} = \frac{x}{8} \: \: \: \: x = 10[/tex]
urgent please!!!!!!!!!!
Answer:
The answer shoudl be 6.2 miles
Step-by-step explanation:
10,000 loan, I detest rate 5.6 for 5 years. What is monthly payment?
Answer:
Your monthly payment on a personal loan of $10,000 at a 5.6% interest rate over a 5-year term would be $191. You would pay $1,488 in total interest over the life of this loan.
Step-by-step explanation:
three sides of a quadrilateral are the same length. q. the length of the forth side is 7 inches. the perimeter of the quadrilateral is 40 inches
Answer:
3q+7=40 I know im a year late but this is for whoever needs it this year Step-by-step explanation:using algebra the value of q is 11 inches Mark me as brainliestThe length of the equal sides of the given quadrilateral comes to be 11 inches.
What is a quadrilateral?A quadrilateral is a polygon with 4 sides.
Suppose the length of the three equal sides =x inch
Length of the fourth side =7 inches
So, the perimeter of the quadrilateral = x+x+x+7
The perimeter of the quadrilateral = 3x+7
Given that the perimeter of the quadrilateral = 40inches
3x+7=40
3x=33
x=11
So, the length of three equal sides = 11 inches
Therefore, the length of the equal sides of the given quadrilateral comes to be 11 inches.
To get more about the quadrilateral visit:
https://brainly.com/question/23935806
Determine x to solve the problem
Answer:
ITS A TEST WE NOT SUPPOSED TO TEO
Step-by-step explanation:
The game room of a youth center needs a carpet te room measures 3ft by 2ft on the blueprint if the scale on the blueprint is one ft by 5 yards what is the actual area of the game room.
Answer: Yes
Step-by-step explanation:
Area = sxsxsxs
= 3ft x 2ft x 1 ft x 5 ft
= 30 ft
Pamela bought an electric drill at 85% off the regular price. she would have paid 132.89 for thr drill normally. what was the price she paid for the drill?
Answer:
19.93
Step-by-step explanation:
If you do 132.89 x 85% you would get 112.9565. You would round the first five up to a six and then subtract that by the original price. 132.89-112.96. Giving you the answer of 19.93.
NEED ANSWERS asap !!!!!!!!!!!!!
Answer:
Pink
Step-by-step explanation:
The pinkish shape is the one that is reflected across the x-axis.
Answer:
Pink
This is because blue is being flipped over the x-axis, and that is where pink is.
Hope this helps!
helppppppppppppppp plzzzzzzzzzzzzzz
Answer: 15w
Step-by-step explanation:
Please help I'm trying to give up please help scams every time  fill in the two blanks please
Answer:
1st blank: 60 degrees
2nd blank: 120 degrees or -240 degrees
Step-by-step explanation:
1st blank: hexagons have a rotational symmetry of 60 degrees, and that's basically what the question was asking
2nd blank: If you rotate the hexagon around x once, it will map a point onto one of the points next to it depending on the direction.
In order to map F onto B, you need to either rotate it 120 degrees (2 rotations) counterclockwise or 240 degrees (4 rotations) clockwise.
A clockwise rotation is negative and a counterclockwise rotation is positive so that would be 120 degrees or -240 degrees.
83x - 6) = 6(4x + 8)
Answer:
[tex]x = \frac{54}{59}[/tex]
Step-by-step explanation:
I'm assuming you meant (83x - 6). Either way, the parentheses aren't needed there as there aren't any numbers outside of the parentheses on that side of the equation.
So:
Remember PEMDAS
P – Parentheses
E – Exponents
M – Multiplication /D – Division (whichever comes first from left to right)
A – Addition /S – Subtraction (whichever comes first from left to right)
Nothing needs to be distributed on the left side, so let's distribute the right side.
6(4x + 8)
6 * 4x = 24x
6 * 8 = 48
Now we have 24x + 48
83x - 6 = 24x + 48
Now, we must isolate the x so that in the end, we can get x =
83x - 6 = 24x + 48
+ 6 +6
83x = 24x + 54
-24x -24x
59x = 54
Now, we have isolated the x! Finally, we want x to = 1 so that it will be x = instead of 59x =.
[tex]\frac{59x}{59} = \frac{54}{59}[/tex]
Because 54/59 does not divide into a rational number or simplify any further, we can keep it as a fraction.
[tex]x = \frac{54}{59}[/tex]
~ [tex]InLoveWithPugs[/tex]
Moderator
Math Enthusiast
17) The number of zeroes of the polynomial shown in below graph
1
2
3
4
Other:
Answer:
4
Step-by-step explanation:
The number of zeroes is the points that cut the x axis, so in the graph the polynomial cut FOUR times the x axis
plz help me asap................
Will give brainliest if correct.
Answer:
[tex]m=\frac{1}{2}[/tex]
General Formulas and Concepts:
Pre-Alg
Order of Operations: BPEMDASAlg I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (3, 14)
Point (-13, 6)
Step 2: Find slope m
Substitute: [tex]m=\frac{6-14}{-13-3}[/tex]Subtract: [tex]m=\frac{-8}{-16}[/tex]Simplify: [tex]m=\frac{1}{2}[/tex]Javier worked the following hours in the month of October. What was the percent increase from week 2 to week 4?
weeks hours
1 18
2 25
3 24
4 33
Answer:
2005400sblackwell
2005400sblackwell
03/27/2020
Mathematics
Middle School
Javier worked the following hours in the month of October. What was the percent increase from week 2 to week 4?
Answer:
32%
Step-by-step explanation:
I don’t know. I’m on a test got the answer wrong and it showed me the right answer.
Overview
2
5
10
Question Progress
Homework Progress
Solve the following:
a) +3 = 8
b) 3 - 1 = 5
Answer:
Step by step explanation::
SOMEBODY PLS HELP ILL GIVE BRAINLIEST
Answer:
Step-by-step explanation:
Answer:
The answer would be
f(x)= x^2-8x+17
Step-by-step explanation:
