Answer:
x=4
y=2
Step-by-step explanation:
2x+2y=12
x−y=2
In order to solve by elimination, coefficients of one of the variables must be the same in both equations so that the variable will cancel out when one equation is subtracted from the other.
2x+2y=12,x−y=2
To make 2x and x equal, multiply all terms on each side of the first equation by 1 and all terms on each side of the second by 2.
2x+2y=12,2x+2(−1)y=2×2
Simplify.
2x+2y=12,2x−2y=4
Subtract 2x−2y=4 from 2x+2y=12 by subtracting like terms on each side of the equal sign.
2x−2x+2y+2y=12−4
Add 2x to −2x. Terms 2x and −2x cancel out, leaving an equation with only one variable that can be solved.
2y+2y=12−4
Add 2y to 2y.
4y=12−4
Add 12 to −4.
4y=8
Divide both sides by 4.
y=2
Substitute 2 for y in x−y=2. Because the resulting equation contains only one variable, you can solve for x directly.
x−2=2
Add 2 to both sides of the equation.
x=4
The system is now solved.
x=4,y=2
Correct choice is B) x=4.
answer is 4
because y=2 then you subsistute it in and then you find X
x-y=2 turns to x=y+2 then you subsistute that into x of the equation 2x+2y=12 which then is 2(y+2)+2y =12 and you should get y=2 then you grab the other equation x-2=2 and you should get x=4
what is the circumference of a DVD disc?
Can someone help me with this please? its 1 question.
Answer:
D
Step-by-step explanation:
The answer is D because its the only graph that matches the actual description
can you help me with my question
Answer:
im pretty sure its undefined
Step-by-step explanation:
I'd say this because i don't believe you can do anything with the info they give you
Which expression is equivalently to x^2 + 2x + 2?
Answer:
(x-1)^2 +1
Step-by-step explanation:
Answer:
(x + 1 - i ) (x + 1 + i)
Step-by-step explanation:
A scatter plot is shown:
what type of association does the graph show between x and y? (4 points)
Linear positive association
Nonlinear positive association
Linear negative association
Nonlinear negative association
Answer:
linear positive
Step-by-step explanation:
it's prolly too late but i need pts and someone to answer my ? so yea
Answer:
Step-by-step explanation:
Linear Postive
How many square floor tiles of side 1/2m are needed to cover the school hall, excluding the room, shown in the diagram below. Please show ALL working.
Answer:
Step-by-step explanation:
I need help please, I'm so confused .
Answer:
0.1, -0.2, -0.5
Step-by-step explanation:
help please ty i will give brainliest
Answer:
c
Step-by-step explanation:
b^2-4*a*c
81-20*4*1 =1
so you can factorise it to
(p+5) ( p+4 )
an angle is 22 degrees smaller than a second angle. the two angles are complementary. what is the measure of the smaller angle?
Let the first angle be x°.
Then the second angle shall be (x - 22)°.
The two angles are complementary. Hence their sum shall be 90°.
First angle + second angle = 90°
=> x° + x° - 22° = 90°
=> 2x° = 112°
=> x° = 56°
Hence first angle = x° = 56°.
Second angle = (x - 22)° = 34°.
Which expression is equivalent to -3(1 - y) ?
0-31 - 3y
0-32 + 3y
0-32 - 4
0 -3.2 + y
Answer:
Whichever one equals 3y - 3
Step-by-step explanation:
I went through your answer choices and they don't really make sense. But if one of these equals 3y-3 then that's your answer.
Mr. Kramer's patio is in the shape of a trapezoid. The trapezoid and its dimensions are shown below. What is the area of the patio? A 144 square feet B 360 square feet C 315 square feet D 252 square feet
Answer:
C 315
Step-by-step explanation:
(12 + 30) * 15/2 = 315
The area of the trapezoidal patio is 252 ft².
What is a trapezoid?A trapezoid is a polygon that has only one pair of parallel sides. These parallel sides are also called parallel bases of trapezoid. The other two sides of trapezoids are non-parallel and called legs of trapezoids.
Given that, Mr. Kramer's patio is in the shape of a trapezoid, we need to find its area,
So, the area of the trapezoid is = sum of the parallel sides × height/2
= 12 + 30 × 12/2
= 42 × 6
= 252
Hence the area of the trapezoidal patio is 252 ft².
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plz help me ...
please
Answer:
x = -1, and y = -2, giving you the answer (-1, -2)
Step-by-step explanation:
In the second equation, we're told that y is equal to 2x. With that, we can replace "y" in the first one with "2x", giving us:
-4x - 2x = 6
-6x = 6
x = -1
Now that we know the value of x, we can simply plug it into the first equation to find y:
-4x - y = 6
-4(-1) - y = 6
4 - y = 6
-4 + y = -6
y = -6 + 4
y = -2
So x = -1, and y = -2
Helia invested 4000 AED for 3 years with a compound interest rate of 1.5%, Calculate the worth of her investment at the end of this time period. ( Show each step of your calculation)
Answer:
4180 AED
Step-by-step explanation:
Given data
Principal= 4000
Time= 3 years
Rate= 1.5%
The compound interest expression is given as
A= P(1+r)^t
substitute
A=4000(1+0.015)^3
A= 4000(1.015)^3
A= 4000*1.045
A= 4180
Hence the worth will be 4180 AED
please i need HELP x+y=15 , x-y=3
and
Answer:
x=9
y=6
Step-by-step explanation:
x+y=15 .............(i)
x-y=3...........(ii)
Subtracting equation (ii) from equation (i)
or, x+y -(x-y)=15-3
or, x+y-x+y=12
or, 2y=12
or, y=12/2
∴y=6
Now,
Putting the value of y on equation (i),
or, x+6=15
or, x=15-6
∴x=9
help also use GEMDAS OR PEMDAS brainlest might be given
Answer:
10
Step-by-step explanation:
6(10) ÷ 3(2) = 10
60 ÷ 6 = 10
10 = 10
Pls help I don’t understand I’ll give brainliest
Answer:
[tex] - 32[/tex]
Step-by-step explanation:
1) Simplify
[tex] \sqrt{32} \: to \: 4 \sqrt{2} [/tex]
[tex] - 8 \sqrt{2} \times \frac{1}{2} \times 4 \sqrt{2} [/tex]
2) Use this formula: a/b × c/d = ac/bd.
[tex] - \frac{8 \sqrt{2} \times 1 \times 4 \sqrt{2} }{2} [/tex]
3) Simplify.
[tex] - \frac{32 \sqrt{2 \sqrt{2} } }{2} [/tex]
4)
[tex]simplify \: 32 \sqrt{2 } \sqrt{2} \: to \: 32 \sqrt{4} [/tex]
5) Since 2 × 2 = 4, the square root of 4 is 2.
[tex] - \frac{32 \times 2}{2} [/tex]
6) Simplify 32 × 2 to 64.
[tex] - \frac{64}{2} [/tex]
7) Simplify 64/2 to 32.
[tex] - 32[/tex]
Therefor, the answer is option three -32
PLEASE HELPPPP! 50 points, my brain has been doing homework all night and this is simple math ;-; I just cant think rn its 7th grade math. Thanks a million!
Jamal reads every day. He read 55 pages on Tuesday, which is 25% less than what he read on Monday. How many total pages did Jamal read on Monday and Tuesday? Write solution as a mixed number.
Answer:
68/.75
13. A train travels 24 miles in 2 hours. How many miles per hour is the train traveling? *
Answer:
12 mph
Step-by-step explanation:
24/2 = 12
Answer:
48 miles per hour
Explanation:
24 x 2= 48
What is the value of this expression? 6 (24+ 3) - 2
Answer:
160
Step-by-step explanation:
PEMDAS
parenthesis go first 24+3= 27
there are no exponents but their is multiplication 27 times 6 is 162 their is no (D)Division (A)Addition but their is (S) Subtraction 162 minus 2 is 160
Please answer and if you do I'll give you brainliest. <3
Answer:
guy above me is right
Step-by-step explanation:
Theo bought a pair of shoes on sale for 20% off the regular price. A
6.50 sales tax was added to the price of the shoes. Which expression
represents the total cost of the shoes with original price s?
A) (0.2s)1.065
B) (0.8s)1.065
C) 0.83 + 1.065s
D) 0.2s + 1.0655
Answer:
c
Step-by-step explanation:
i think soo
Can SOMEONE PLZ HELPPPP
Answer:
option D would be your answer
Step-by-step explanation:
[tex]y=\frac{-1}{2}[/tex]
Answer:
its -1/2 the last option
Step-by-step explanation:
2) Jacob is 3 years older than Sarah, and Caroline is twice as old as Sarah
If Caroline is 28 years old, how old is Jacob? *
midpoint of (4,3) and (9,10)
Answer:
(13/2, 13/2)
Step-by-step explanation:
solve the equation -8(4k-5)=200
Answer:
k = -5
Step-by-step explanation:
Help me pleaseeee:
Find the value of a and b when x=10
a = 5x (squared) ÷ 2
b = 2x (squared) (x-5) ÷ 10x
The measure of central angle RST is r radians.
What is the area of the shaded sector?
A. 41π units^2
B. 8π units^2
C. 16π units^2
D. 20π units^2
The area of the shaded sector of the circle is 16π units².
How to find the area of a circle?Suppose the circle has radius of 'r' units, then, its area is given as:
[tex]A = \pi \times r^2[/tex]
sq. units
Since radius of a circle is half of its diameter, so if diameter is of 'd' length, then r= d/2, thus, area can be rewritten as:
[tex]\pi \times (\dfrac{d}{2})^2[/tex]
sq. units
We are given that;
θ = r radians
r = 4 units
Now,
To convert radians to degrees, we use the formula:
Degrees = Radians × 180°/π
So,
θ = r × 180°/π
Substituting these values in the formula for area of a sector, we get:
Area of a sector = (r × 180°/π / 360°) × π(4)²
Simplifying, we get:
Area of a sector = r² units²
=16π units².
Therefore, by the area of a circle the answer will be 16π units².
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the difference between y and 20
Answer:
y + 20
Step-by-step explanation:
The other numbers are N
N - y = 20
N = y + 20
OR
y - N = 20
N = y - 20
HELLOOOOOooOOOoOooOO
HELP MEEEEEEEEEEEEE
Answer:
it is axes
Step-by-step explanation:
Answer:
I guess its Axes and coordinate plane
Step-by-step explanation:
Can someone please help me solve #6
I’ll give brainiest to the first answer
Answer: It's either 278 or 178
Step-by-step explanation: I didn't know what equation the question wants you to use so for the first equation it showed I did (10^2+24+10+144) and got 278. For the second equation I did 24+10+144 and got 178. Considering it gave you ax+b as an area equation I just added them (same with the other equation). I don't know whether those are correct of not though.