Using the Addition Method, find the value of x in the
system of equations
3x + 2y = 2
-3x + 5y = 5
Step-by-step explanation:
3x+2y=2------------1
-3x+5y=5-----------2
adding 1 and 2 we get
7y=7
y=1
and from (1),we get
3x+2×1=2
3x=0
x=0 is the required value of x.
We want to solve the given system of equations by using the addition method.
The solution is x = 0.
So we start with the system of equations:
3x + 2y = 2
-3x + 5y = 5
We want to use the addition method, this means that we just add these two equations (left side with left side and right side with right side, in this case) we will get:
(3x + 2y) + (-3x + 5y) = 2 + 5
Now we simplify this to get:
7y = 7
Solving for y, we get:
y = 7/7 = 1
Now that we know the value of y, we can replace it on one of the equations and then find the value of x, let's use the first equation:
3x + 2*1 = 2
3*x = 2 - 2 = 0
x = 0
Then we can conclude that the value of x is 0.
If you want to learn more about systems of equations, you can read:
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Do the line segments with the given lengths form a right triangle? Drag each set of lengths into the correct box.
Answer:
1) Yes
2)No
3)Yes
Step-by-step explanation:
Use pythagoreans theorem for the first two side lengths and see if it's equal to the third!
Based on the Pythagorean Triple, "9, 40, 41", " will form a right triangle(YES), while "11, 60, 62" and "48, 55, 73" will not (NO).
To find given lengths form a right triangle or not.
What is the Pythagorean Triple?The Pythagorean triple can be described as any three set of integers representing sides of a right triangle that are solutions to the Pythagorean Theorem, which is given as:
c² = a² + b².
c is the longest side of the right triangle or largest of the set of integers of the Pythagorean triple.
Thus, find out which set of lengths will form a right triangle:
9, 40, 41 will form a right triangle, because:
41² = 40² + 9²
1,681 = 1,681
Also, the rest set of lengths will not form a right triangle.
Thus, based on the Pythagorean Triple, "9, 40, 41", " will form a right triangle(YES), while "11, 60, 62" and "48, 55, 73" will not (NO).
Learn more about Pythagorean Triple here:
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Which of the following numbers is not a perfect square?
49 124 169 361
Answer: 124
Step-by-step explanation: 7^2=49; 13^2=169; 19^2=361. Only 124 cannot be expressed as a square of an integer.
Answer:
124
Step-by-step explanation:
Given f(x) = 5^2x,evaluate f (-1), f (0),and f (2)
The values of f(-1), f(0), and f (2) are 0.04, 1 and 625, respectively
How to evaluate the function?The function is given as:
f(x) = 5^2x
For f(-1), we have x = -1
This gives
f(-1) = 5^(2 * -1)
f(-1) = 0.04
For f(0), we have x = 0
This gives
f(0) = 5^(2 * 0)
f(0) = 1
For f(2), we have x = 2
This gives
f(2) = 5^(2 * 2)
f(2) = 625
Hence, the values of f(-1), f(0), and f (2) are 0.04, 1 and 625, respectively
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Which of the expressions below has a quotient that is greater than 15? Select all that apply.
A) 192÷12
B) 73÷5
C) 153÷9
D) 112.5÷9
Scott earns $10 per hour for babysitting and $30 per hour for computer repair work. Which inequality represents how many hours Scott could babysit, b, and how many hours he could do computer work, c, to earn a total of at least $600 this month? A. 10b + 30c > 600
B. 10b +30C 600
C. 40(b+c)2 600
D. 40(b+c) 5600 E.
Do Not Know
Answer:
B
Step-by-step explanation:
7.EE.1.1
An expression is shown.
(0.25n - 0.3) – (0.8n - 0.25)
Create an equivalent expression without parentheses.
Answer:
-0.55n - 0.05
Step-by-step explanation:
You can start by distributing:
(0.25n - 0.3) - (0.8n - 0.25)
0.25n - 0.3 - 0.8n + 0.25
Then, you can combine like terms(0.25n & -0.8n; -0.3 & 0.25)
-0.55n - 0.05
Answer:
-0.55n - 0.05
Step-by-step explanation:
(0.25n - 0.3) – (0.8n - 0.25)
When subtracting the signs change
0.25n - 0.3 - 0.8n + 0.25
Regroup like terms
0.25n - 0.8n - 0.3 + .25
Combine like terms
-0.55n - 0.05
When converting a percent to a decimal, will there always be two digits after the decimal point? Explain
Answer:
No
Step-by-step explanation:
For example, 50% can be written as just 0.5
What’s the answers to 15 and 16
HELP: Cho charges $1500 to build a small deck and $2500 to build a large deck. During the spring and summer, she built 5 more small decks than large decks.
If she earned $23,500 how many of each type of deck did she build?
Answer:
if she build x numbers of large decks, therefore small decks would be (x + 5)
1500*(x+5)+2500x =23500
1500x+7500+2500x=23500
4000x+7500 =23500
4000x=23500-7500
4000x=16000
x=4
4+5=9
cho built 4 large decks and 9 small decks
What are the two zeros of the quadratic function defined by the expression 9x2 - 4?
What is the sales tax for a purchase of $20 if the tax rate is 10 percent?
Answer:
2
Step-by-step explanation:
If you multiply it by 0.10 that is 10 percent and you get 22 which is 2 more than 20
Answer:
Before Tax Price: $20.00
Sale Tax: 10.00% or $2.00
After Tax Price: $22.00
Step-by-step explanation:
Fin the sum or difference of the polynomial (9x2 +3x+2)+(3x2 –5x-3) write your answer in descending order
Please explain so I can do the rest myself help
Round to the nearest whole dollar: $7.23
Answer:
$ 7
Step-by-step explanation:
To round 7.23 to the nearest whole dollar consider the tenths’ value of 7.23, which is 2 and less than 5. Therefore, we have to round the amount down: the dollar ones place value of 7.23, 7, remains 7, and the decimal point and all digits (.23) are removed.
$7.23 rounded to the nearest dollar = $7
Estimate the sum 11 3/8 + 9 7/10 + 21 1/4 by rounding each mixed number to the nearest whole number. Then find the exact sum
pls helpppppppp meee i dont wanna faillll
Answer:
D, No trend or association
Find the area of the composite figure.
A. 27.5 sq in
B. 37.5 sq in
C. 45 sq in
D. 55 sq in
Answer:
B. 37.5 sq in
Step-by-step explanation:
sana po makatulong ☺️
Find the circumference of a circle with diameter 2 cm. Use 3.14 for
Answer:
6.28 cm
Step-by-step explanation:
Given,
Diameter = 2 cm
pi = 3.14
To find : Circumference ( circle ) = ?
Radius ( r )
= Diameter / 2
= 2 / 2
= 1 cm
Formula : -
Circumference ( circle ) = 2 pi r
2 pi 4
= 2 × 3.14 × 1
= 6.28 cm
Answer:
6.28
Step-by-step explanation:
radius= diameter/2
r=2/2=1
circumference formula=2[tex]\pi[/tex]r
[tex]\pi[/tex]=22/7 or 3.14
So,
2[tex]\pi[/tex]r= 2*3.14*1= 6.28
I need help with this problem can you please show the work
Answer:
48 degrees
Step-by-step explanation:
inscribed angle is always equal to the measure of the arc
What is the elasped time of 7:41 pm and 8:50 pm
Answer:
about 1 hour and 9 minutes or 69 minutes
Step-by-step explanation:
I always add the hour first if I can (from 7:41 to now 8:41) and then add however many minutes are left (9 minutes).
The sale price for a bicycle is $315. The original price was first discounted by 50percent and then discounted an additional 10 percent. Find the original price of the bicycle. Need answer now please!!
Answer:
Step-by-step explanation: Let the original price of the bicycle be $x. If the original price was first discounted by 50% and then discounted an additional 10%, the total percentage discount will be 60%.
Step-by-step explanation:
La suma de un numero mas 16 es igual a 31
Answer:
47
Step-by-step explanation:
What is the measure of angle X 60° and 40°
Answer:
80 degree is the measure of third angle
what is the angle of d
Answer:
115°
Step-by-step explanation:
65 +65 = 130
360-130= 230
230÷2= 115
speeeeeeeeeeeeeeeeeeddddddddddddd
0.2 is the answer I believe ^^
ANSWER THIS ASAP NO FILE AT ATT!!
Answer:
option B.
Step-by-step explanation:
Have a great day! :)
Answer:
A would be your answer
Step-by-step explanation:
at least I am pretty sure I'm really sorry if I am wrong
What value of X makes the equation true -7x - (-5-x) = -9(2x-1) -1
Answer:
x = 1/4
Step-by-step explanation:
-7x - (-5-x) = -9(2x-1) -1
-7x + 5 + x = -18x + 9 - 1
combine like terms:
-6x + 5 = -18x + 8
add 18x to each side of the equation:
12x + 5 = 8
subtract 5 from each side:
12x = 3
divide both sides by 12:
x = 3/12 = 1/4
Finding missing angles
Answer:
The answer is 45 degrees
Answer: x = 45°
Step-by-step explanation:
since the total angle of that corner is 90°, and one of the angle is 45°
Expand and simplify (2x + 1)(x + 3)
2x2 + 7x + 3 -answer
(2x + 1) (x + 3)
(2x * x) + (2x * 3) + (1 * x) + (1 * 3)
2x2 + 6x + x+3
2x2 + 7x + 3
Which number completes the table for y = x^2?
a.) -9
b.) 9
c.) 6
d.) -6
Answer:
B
Step-by-step explanation:
We can substitute the x value given, -3, into our equation, y = x^2, to get what the y would be:
y = x^2
y = (-3)^2
When a negative number is squared, it is positive, so (-3)^2 = 9, and:
y = 9
This is option b
Answer:
B) 9
Step-by-step explanation:
We are given the equation y = x^2 for the table, and a x value.
To find the y value that corresponds to that x value, we must plug the x value in the equation.
Y =x^2
Y= -3^2
Y=9