Answer:
x=-3 y=-5
Step-by-step explanation:
y = x + 8
X + y = 2
First take the first equation and input it into the second equation.
X+ (x+8)= 2
Now simplify
X+x+8=2
2x+8=2
-8=-8
2x= -6
÷2 ÷2
x= -3.
Now that you have the x value, input it into the first equation to find y.
y= (-3) +8
y= -5
The solution to the given system of equations is x = -3 and y = 5.
What is the equation?The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.
The system of equations is given in the question:
y = x + 8 ...(i)
x + y = 2 ...(ii)
We have to determine the solution to the given system of equations.
Solving given equations using the substitution method.
First, substitute the value of the equation y = x + 8 in equation (ii), and solve for x:
x + x + 8 = 2
2x + 8 = 2
2x = 2 - 8
2x = -6
x = -3
Now, substitute the value of the equation y = x + 8 in equation (ii), and solve for y:
y = -3 + 8
y = 5
Thus, the required solution is x = -3 and y = 5.
Learn more about the equation here:
brainly.com/question/10413253
#SPJ2
For each diagram below, determine the value of, x if possible. If the triangles are congruent, a state which triangle congruence condition you used. If the triangles are not congruent or if there is not enough information, state, “Cannot be determined”.
Answer:
The Triangles are congruent by Angle-Side-Angle.
x would equal 4 because the triangles are congruent.
Step-by-step explanation:
If the sum of a number and seven is doubled, the result is six less than the number. Find the number
Answer:
-20
Step-by-step explanation:
Let the number be Y
If the sum of a number and seven is doubled, the result is six less than the number, The statement is as expressed below
2(Y+7)= Y-6
Find the value of Y
2Y+14=Y-6
Put the like terms together
2Y-Y=-6-14
Y=-20
The number is therefore -20
Verifying
2(-20+7)=-20-6
2(-13)=-26
-26=-26
PLZ HELP URGENT. Select the true statement about the triangles pictured below.
What is %65 simplified in simplest form
Answer:
0.65
I think..........
Apples are $1.99per pound you need 3 1/4 pound to make apple crisp how much will you spend on apples in total
Answer:
1.99/1 pound = x/3.25 pound (3 1/4 =3.25)
Cross multiply
X=(1.99)(3.25)=$6.47
Step-by-step explanation:
In a survey, 32% of the people chose pizza as their favorite food. The results were reported to within 2% accuracy. What is the maximum and minimum percent of people who chose pizza? Show work
Answer:
okogfyuijsudiwgsydjhdbdjwnwbwv
Simplify 6^7/6^5
I have no idea math is hard
Step-by-step explanation:
hi hlo hshsvbzbzbsbbzbsbsbsb
Answer:
It is 36
Step-by-step explanation:
Math Please Help Make sure you explain your answer Thanks Have a blessed day!!
Answer:
Option B: x = 15 is a solution, but x = 9 is not is the correct answer.
Step-by-step explanation:
Given equation is:
x - 3 = 12
The solutions we have to check are;
x = 9 and x = 15
Putting x = 9 in the given equation;
9 - 3 = 12
6 ≠ 12
Putting x = 15 in the given equation;
15 - 3 = 12
12 = 12
Hence,
Option B: x = 15 is a solution, but x = 9 is not is the correct answer.
Salvador had 3.25 pounds of dry cement he used 1.7 pounds to make a paver for his lawn how many pounds of dry cement does Salvador have left
Please help me on this one
Answer:
The Correct Answer Is H
Step-by-step explanation:
Its Order Corresponds idenically to the graph above.
For the equation 8x + 2y = 16 What is the slope? What is the y-intercept (write as an ordered pair)? What is the x-intercept (write as an ordered pair)?
Answer:
Step-by-step explanation:
8x+2y=16
2y=-8x+16
y=-4x+8
slope is -4
y-intercept is (0,8)
x-intercept is (2,0)
Answer:
slope = -4
y-intercept = (0,8)
x-intercept = (2,0)
Step-by-step explanation:
To find the slope:
8x + 2y = 16. First get the y by itself.
2y = -8x + 16. Then divide by 2
y = -4x + 8. So the slope is -4.
y-intercept:
8x+2y=16
8(0)+2y=16
2y=16
y=8
y-int: (0,8)
x-intercept:
8x+2y=16
8x+2(0)=16
8x=16
x=2
x-int: (2,0)
I WILL GIVE BRAINLIEST TO THE BEST ANSWER URGENT
use frequency column i think
Answer:the median is 71
Step-by-step explanation:
Choose the two rectangular prisms that have a volume of 36cm^3?
Answer:
Correct choices: B, D
Step-by-step explanation:
The Volume of a Rectangular Prism
Given a rectangular prism of dimension W, L, and H, the volume is calculated as:
V = WLH
Each small cube of the figure has a volume of 1 cube centimeter. We need to calculate the volume of each solid and determine which ones have a volume of 36 cube cm.
A: V = 5*3*4 = 60 cube cm
B: V = 3*3*4 = 36 cube cm
C: V = 3*4*2 = 24 cube cm
D: V = 6*2*3 = 36 cube cm
E: V = 2*4*2 = 16 cube cm
Correct choices: B, D
The triangle shown below has an area of 4 units^2 squared. Find the missing side.
Answer:
X=44
Step-by-step explanation:
75
What is the decimal form of ?
10
0.75
7.5
70.5
75.0
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! I DONT KNOW HOW TO GRAPH SO
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! I DONT KNOW HOW TO GRAPH SO CAN YOU SHOW ME HOW TO DO IT PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLS DRAW IT
Is there a solution YES OR NO AND WHAT IS THE SOLUTION?
Answer:
(-1, -2) will be the solution.
Step-by-step explanation:
System of equations has been given as,
y = 3x + 1 ---------(1)
Input-output value table for the given line will be,
x -2 -1 0 1
y -5 -2 1 4
y = -x - 3 ----------(2)
Input-output value table for the given line will be,
x -2 -1 0 1
y -1 -2 -3 -4
By plotting the given coordinates we can draw the straight lines.
And the point of intersection (common point) of these lines will be the solution of the given system of equations.
Hence, (-1, -2) will be the solution.
Determine if the triangles are congruent. If yes, by which theorem?
Ono
yes, SSS
yes, SAS
yes, ASA
yes, AAS
O yes, HL
write down the next two terms of each of the following sequences
1.
[tex] \frac{3}{4} \frac{1}{2} \frac{1}{3} \frac{2}{9} [/tex]
Pattern :
2.
9, 13, 22, 38
Answer:
ygfgjuhggffffffthbbvftyyhh hhggtyy hhgf hggff hggff hhgf vgt
Help please :(
Use the table below to asnwer this question:
Find the average rate of charge for the given fuction from x=0 to x =2
A. 1
B. 2
C. 4
D. -4
Answer:
D
Step-by-step explanation:
The change from x = 0 to x = 1 is -3
The change from x = 1 to x = 2 is -5
The average of -3 and -5 is [tex]\frac{-3-5}{2} = \frac{-8}{2} = -4[/tex]
The answer is D. -4
Find the slope of the line through each pair of points.
( 1,4),(-8,- 20 )
Answer:
24/9
Step-by-step explanation:
-20-4=-24
-8-1=-9
help me factorise this number
16p⁴ -q⁴
Answer:
(4p²+q²)(2p+q)(2p-q)
Step-by-step explanation:
16p⁴ -q⁴
(4p²)²-(q²)²
(4p²+q²)(4p²-q²)
(4p²+q²)(2p+q)(2p-q)
answers for the 2 boxes please :)
Answer:
(0, 3 )
Step-by-step explanation:
Given the 2 equations
x + 3y = 9 → (1)
- 2x + 2y = 6 → (2)
Multiplying (1) by 2 and adding to (2) will eliminate the x- term
2x + 6y = 18 → (3)
Add (2) and (3) term by term to eliminate x, that is
0 + 8y = 24
8y = 24 ( divide both sides by 8 )
y = 3
Substitute y = 3 into either of the 2 equations and solve for x
Substituting into (1)
x + 3(3) = 9
x + 9 = 9 ( subtract 9 from both sides )
x = 0
solution is (0, 3 )
In the figure shown, ABCD is a square and triangle CDE is equilateral. What is the degree measure of angle CBE?
Answer:
angle CBE=15 degrees
Step-by-step explanation:
angle ECD is 60 degrees and EC=CD because equilateral triangle
angle DCB is 90 degrees and CB=CD because square
angle ECD +angle DCB= angle ECB
60+90=150=angle ECB
since triangle ECB has legs EC and CB equal in length, then it is an isosceles triangle.
so angles CBB and CBE are equal
angle CBE=(180-150)/2
angle CBE=15 degrees
Answer:
15 degrees
Step-by-step explanation:
Since triangle CDE is a equilateral triangle then all the sides and angles are congruent DC=CE=ED, ∠DEC=∠ECD=∠CDE=60 degrees
since line CD is also a side of the square and all sides of a square are congruent therefore DC=CB=BA=AD
therefore side BC is equal to side CE which means CBE is an isosceles triangle then angles ∠BEC and ∠CBE are congruent
Then in order to figure out angle ∠CBE we need to find ∠ECB
and ∠ECB=∠DCE+∠DCB
∠DCE= 60 degrees because it's a equilateral triangle
∠DCB=90 degrees because it's a square
therefore ∠ECB=150 degrees
all angles of a triangle = 180 degrees
∠BEC + ∠CBE + ∠ECB = 180
since ∠BEC is congruent to ∠CBE i can substitute ∠BEC for ∠CBE
2(∠CBE) + 150 =180
2(∠CBE)=30
∠CBE=15
There is a bag filled with 3 blue and 5 red marbles.
A marble is taken at random from the bag, the colour is noted and then it is not replaced.
Another marble is taken at random.
What is the probability of getting exactly 1 blue?
Answer: The probability is 0.536
Step-by-step explanation:
We have 3 blue marbles, and 5 red marbles (a total of 3 + 5 = 8 marbles)
First, we take a marble and it is not replaced.
Then we take another marble.
We want to calculate the probability of getting only one blue marble.
Then we have two cases:
1) First we take a blue marble, and after a red marble
2) First we take a red marble, and after a blue marble.
Let's calculate the probability of these two events:
1) The probability of taking a blue marble at random, is equal to the quotient between the number of blue marbles, and the total number of marbles.
this is: p1 = 3/8.
Now we need to take a red marble. Same procedure as before, but now we already taken a marble from the bag, so the total number of marbles is 7 now, and the number of red marbles is 5. The probability here is:
p2 = 5/7
The joint probability (the probability of both events happening) is equal to the product between the individual probabilities, this is:
P = p1*p2 = (3/8)*(5/7) = 0.268
2) Now we first take a red marble, we can calculate the probabilities in the same way than above.
The probability of taking a red marble at first is:
q1 = 5/8
The probability of taking a blue marble in the second draw is:
q2 = 3/7
The joint probability is:
Q = p1*p2 = (5/8)*(3/7) = 0.268
The total probability of getting only one blue marble will be equal to the addition of both the probabilities we found.
Probability = P + Q = 0.268 + 0.268 = 0.536
HELP ASAP PLEASE!!!!!!
Purple: [tex]\sf{x=28.8}[/tex]
Blue: [tex]\sf{x=4}[/tex]
Yellow: [tex]\sf{x=-8}[/tex]
Green: [tex]\sf{x=-5.2}[/tex]
Solution Steps:______________________________
1.) [tex]\bold{\frac{x}{-7.2}=-4}[/tex]:
- Multiply both sides by −7.2:
[tex]-7.2[/tex] × [tex]-7.2=[/tex] Cancels Out[tex]-4[/tex] × [tex]-7.2=28.8[/tex]So your answer is [tex]\bold{x=28.8}[/tex].
2.) [tex]\bold{\frac{3}{2}x=6}[/tex]:- Find the reciprocal and multiply by that on each side:
The reciprocal is [tex]\frac{2}{3},(3*2=6,~2*3=6)[/tex][tex]\frac{3}{2}[/tex] turns into [tex]\frac{2}{3}[/tex][tex]6[/tex] × [tex]\frac{2}{3}=\frac{12}{3}[/tex]- Divide the numerator by the denominator:
[tex]12[/tex] ÷ [tex]3=4[/tex]So your answer is [tex]\bold{x=4}[/tex].
3.) [tex]\bold{\frac{x}{2}=-4}[/tex]:- Multiply both sides by 2:
[tex]\frac{x}{2}[/tex] × [tex]2=x[/tex][tex]-4[/tex] × [tex]2=-8[/tex]So your answer is [tex]\bold{x=-8}[/tex].
4.) [tex]\bold{-5x=26}[/tex]:- Divide both sides by −5:
[tex]-5x[/tex] ÷ [tex]-5=x[/tex][tex]26[/tex] ÷ [tex]-5=-5.2[/tex]So your answer is [tex]\bold{x=-5.2}[/tex].
______________________________
Thirty percent of Irma’s Boutique’s sales came from leggings. They sold $390 worth of leggings last week. What were the total sales for the Boutique last week?
Answer:
The total sales of Boutique last week = $1300
Step-by-step explanation:
Given that:
Percent of sales came from leggings = 30%
Worth of leggings sold = $390
Let,
x be the total sales in the week.
30% of x = 390
[tex]\frac{30}{100}x=390[/tex]
0.3x = 390
Dividing both sides by 0.3
[tex]\frac{0.3x}{0.3}=\frac{390}{0.3}\\x=1300[/tex]
Hence,
The total sales of Boutique last week = $1300
I don't understand how to do this
Answer:
20 degrees
Step-by-step explanation:
You know that the three angles will add up to 180 degrees, so you can make an equation:
3x (angle 1) + 2x + 20 (angle 2) + 5x - 40 (angle 3) = 180
3x + 2x + 20 + 5x - 40 = 180
Then, solve
combine like terms
10x - 20 = 180
add 20 to both sides
10x = 200
divide both sides by 10
x = 20 degrees
Step-by-step explanation:
3x+5x-40+2x+20=180°{sum of triangles}
10x-20=180
10x=180+20
x=200
10
x=20°
hope it helps.
Where would the coordinate (-3, 4) be if it was translationed in the following way: (x,y)----> (x -2, y +2)
Answer:
(-5, 6)
Step-by-step explanation:
Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)
What is 1/1 divided by -5/7? Plz help
Answer:
Exact form: -7/5
Decimal form: -1.4
Mixed number form: -1 2/5
Step-by-step explanation:
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Simplify the expression 54a8b2/6а-4b5
Answer: 27a8b2/3a-2b5
Step-by-step explanation:
