Answer: x = 5, y = 2; Solution = (5, 2)
Step-by-step explanation:
Substitution
2x + y = 12
x + 2y = 9
x + 2y = 9
Subtract 2y from both sides
x = 9 - 2y
Now, substitute x for (9 - 2y) in the first equation
2x + y = 12
2 (9 - 2y) + y = 12
Distribute 2
18 - 4y + y = 12
18 - 3y = 12
Subtract 18 from both sides
-3y = -6
Divide both sides by -3
y = 2
Now to find x, substitute 2 for y in (x = 9 - 2y)
x = 9 - 2y
x = 9 - 2(2)
x = 9 - 4
x = 5
Solution: (5, 2)
Elimination
2x + y = 12
x + 2y = 9
Multiply the second equation by -2 to find y
2x + y = 12
(x + 2y = 9) -2
2x + y = 12
-2x - 4y = -18
Add both equations
2x and -2x are cancelled out
You get:
-3y = -6
Divide both sides by -3
y = 2
Substitute 2 for y in any of the equations to find x
I chose x + 2y = 9
x + 2y = 9
x + 2 (2) = 9
x + 4 = 9
Subtract both sides by 4
x = 5
Solution = (5, 2)
Btw you can use any of these methods, I used both so you could know that you get the same answer no matter the method.
Hope I helped!
Lisa added
4 7/15 and 5 2/5 to get a sum of 10 2/15.
Which of the following explains whether her answer is reasonable?
A.
No; 7/15and 2/5 are both less than 1, so the sum has to be less than 10.
B.
No; 7/15 and 2/5 are both less than 1/2, so the sum has to be less than 10.
C.
No; 7/15 and 2/5 are both greater than 1/2, so the sum has to be less than 10.
D.
Yes; 7/15 and 2/5 are both greater than 1/2, so the sum has to be greater than 10.
Answer:
B
Step-by-step explanation:
i did it
Can someone help me?
Answer:
18
Step-by-step explanation:
Hope this helps!
Answer: $25
Step-by-step explanation:
1: 0.18 * ? = 4.50
2: ? = $4.50 / 0.18
3: ? = $25
Lines A and B are parallel lines cut by a transversal. Find the value of x.
A
108
X
Answer:
The value of x is 108
Step-by-step explanation:
This is because the A and B lines are parallel meaning that the point where the line passes through one will be at the same degree as the other one
please help me, i have been on this problem for 45 minutes.
Answer:
Step-by-step explanation:
The absolute difference is 77-(-8)=85. The only option that is equivalent is
|-8|+77
what does 6+9 equal all together
Answer:
15
Step-by-step explanation:
Answer:
15
Step-by-step explanation:
6+9 is equal to fifteen. I don't really know how to explain it, its just adding 6 to 9.
Test test tes t testtest
..............................................
1) A box is placed on the floor. The base has an area of 5 m2.
The box exerts of force of 126 N on the floor. Work out the
pressure on the
ground.
one half of a box of cereal is filled with marshmallows of those marshmallows, one sixth of them are green how much of the box is filled green marshmallows
Answer:
Hopefully, I am correct is it 1/4??
Step-by-step explains:
(Sorry If I am wrong I just guessed.)
Find the measure of angle z in the following figure
Answer:
z=40 degrees
Step-by-step explanation:
a triangle is 180 degrees
<ACB=50 (180-130=50)
50+90=140
180-140=40
Answer:
40 degrees
Step-by-step explanation:
so in order to find this we first off know that every triangle's inside angles are equal to 180 degrees total.
so if we take that <A is equal to 90 degrees
then we see that the outside of <C is equal to 130 and line BCD is a confirmed straight line
then each line is equal to 180 degrees so we subtract 130 from 180 in order to find the inside angle of C so that would equal 50
so now that we know <A=90
and <C=50
then we add those two together and that equals 140 degrees
and so there is only one more angle which is <Z
so we subtract 140 from the total amount of 180 degrees in the triangle
leaving us with <Z=40 degrees
This graph shows the relationship between x, the number of hours Mr. David
works, and y, the number of dollars he ears.
Mr. David's Earnings
A. Based on the graph, is the relationship between x and y proportional?
Explain your reasoning
B. What does the point (3,90) represent in the context of this situation?
C. Based on the graph, how many dollars will Mr. David earn if he works
10 hours? Show or explain how you got your answer.
D. Write an equation that could be used to find y, the number of dollars
Mr. David earns for working x hours.
Answer:
A. Proportional by $30
B. 3 represents the hours he works
90 represents the money he earned
C. $300
D. I don know, sorry
Step-by-step explanation:
The relationship is linear, the point (3, 90) represents in 3 hours he earns 90 dollars, in 10 hours, he earns 300 dollars, and the linear equation is y = 30x.
What is the linear system?A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.
This graph shows the relationship between x, the number of hours Mr. David works, and y, the number of dollars he earns.
A. Based on the graph, the relationship between x and y proportional is a linear relationship.
B. The point (3,90) represents in 3 hours he earns 90 dollars.
D. The linear equation will be
[tex]\begin{aligned} \rm y - 30 &= \rm \dfrac{90-30}{3-1} (x - 1)\\\\\rm y - 30 &= \rm 30x - 30\\\\\rm y &= \rm 30x \end{aligned}[/tex]
C. Based on the graph, the amount of money in dollars will Mr. David earn if he works 10 hours will be
y = 30x
y = 30 × 10
y = $300
More about the linear system link is given below.
https://brainly.com/question/20379472
#SPJ2
While mining, Sandy found a large metal bar that weighed 32 grams. Sandy was also able to determine that the bar contained 75% copper. How many grams of copper are in the metal bar? Round your answer to the nearest whole number if necessary. x Clear Undo Redo
Answer:
40%
Step-by-step explanation:
make 20*5=100 , total, 8*5 which makes 40
Answer:
there would be 24 grams of copper.
What is the value of the missing angle?
Solve sinx=0.8 in the interval 0≤x≤360∘ Principal value: x=53.1∘ What is the other solution in the interval?
9514 1404 393
Answer:
126.9°
Step-by-step explanation:
The sine of an angle is the same as the sine of its supplement. The other solution in the interval is ...
180° -53.1° = 126.9°
April pays a dog-walking service $30 each week to walk her dog. Let w = the number of weeks. Let d = the number of dollars April pays the service. Part A Which equation represents the problem?
Answer:
4x+30x(14 the at that the answer
Malachy and Paul win some money and share it in the ratio 4:5. Malachy gets £44. How much did Paul get?
9514 1404 393
Answer:
£55
Step-by-step explanation:
Multiplying the given ratio units by 11 tells you the answer.
4 : 5 = 44 : 55
Paul got £55.
helpppp me on thisss
Answer:
B
Step-by-step explanation:
3600/30/16=15/2=7 1/2
When converting, if you go from a larger unit to a smaller unit you will _____________. Divide Multiply Subtract Add
Answer:
Dividing or Subtracting
Step-by-step explanation:
Answer:
multiply
Step-by-step explanation:
When converting a larger unit to a smaller one, you multiply; when you convert a smaller unit to a larger one, you divide.
x-7=7-x how many solutions are there
Answer:
There is one solution
Step-by-step explanation:
2x=14
There is only one that could solve this, that wold be 7 and no other number besides -7
Using all the rest of my points on this all just here for points answers will be reported
Which relationships describe angles 1 and 2?
Select each correct answer.
vertical angles
supplementary angles
complementary angles
adjacent angles
Two lines intersecting in a right angle with a ray splitting the third quadrant with one labeling the left angle and two labeling the angle right of the ray
It's multiple answers. If you don't know it Please don't answer!!
Answer:
I think adjacent angles are the vertical angles but supplementary angles are 2 angles that combine to equal 180 degrees and complementary angles are 2 angles that add up to 90 degrees so the right angle with a ray splitting it is a complementary angle.
Step-by-step explanation:
Joe sold a total of 10 baked goods. Each cookie costs $1.25 and each brownie costs $2.50. Joe made $20 at the bake sale. How many cookies did Joe sell?
Answer:
16 cookies
Step-by-step explanation:
20/1.25=16
You take the total cost and divide it by the individule cost
Answer: Joe sold 5 cookies
Step-by-step explanation:
If you do the multipaction you will know that 2.50 x 5 = 12.50 and then you would have 5 more baked goods so then you would multiply 1.50 x 5 which equals 7.5 which when you add together equals a total of 20
Pls can you help me
9xy · (2/3x)³ = (__ / __) x⁴y
Answer:
8x4y
————
3
Step-by-step explanation:
:)
Solve this system of equations
Y=2x
X = -y + 6
Answer:
(2, 4 )
Step-by-step explanation:
Given the 2 equations
y = 2x → (1)
x = - y + 6 → (2)
Substitute x = - y + 6 into (1)
y = 2(- y + 6) ← distribute
y = - 2y + 12 ( add 2y to both sides )
3y = 12 ( divide both sides by 3 )
y = 4
Substitute y = 4 into (2) for corresponding value of x
x = - 4 + 6 = 2
solution is (2, 4 )
Sweet Swannies Store had a sale offering 15% off all its merchandise.
Find the total discount received if I purchased the following items:
Jacket - $85
Beanie - $22
Scarf - $32
Answer:
85+22+32=139
139×15%=20.85
$20.85
or
22×15=3.30
32×15=4.80
85×15=12.75
12.75+4.80+3.30=$20.85
$20.85
HELP ASAP WHICH OF TJE FOLLOWING IS THE SOLUTION OF THE EQUATION??( I picked a random answer)
Answer:
A
Step-by-step explanation:
I will give brainliest! please help
Answer:
think it would be B
Step-by-step explanation:
what is the median in the box plot ? 50 60 70 80 90 100
Answer:Median
Arrange your numbers in numerical order.
Count how many numbers you have.
If you have an odd number, divide by 2 and round up to get the position of the median number.
If you have an even number, divide by 2. Go to the number in that position and average it with the number in the next higher position to get the median.
Step-by-step explanation:
Consider the linear function y = 5x + 12 and the linear function represented by the table of values below. 2 X у 2 29 4 53 6 77 8 101
Answer:
17x
Step-by-step explanation:
y=mx + b=5x +12=17x
that is all
find the area.......
Answer:
A= 1/2*9.1*6
= 27.3mi^2
Step-by-step explanation:
i actaully knew this im not sure why they deleted my last answer
Write the equation of the line that passes through the points (1, -6) and (8, 9). Put
your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.
Answer:
[tex]y-9 = \frac{15}{7} (x-8)[/tex]
Step-by-step explanation:
Point-slope form is represented by [tex]y-y_1 = m (x-x_1)[/tex]. To write an equation with it, we need the slope of the line and a point the line crosses through. We already have at least one point the line crosses through, so let's figure out the slope.
To find the slope, use the slope formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]. [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of one point the line crosses, and [tex]x_2[/tex] and [tex]y_2[/tex] represent the x and y values of another point the line crosses. So, using the x and y values of (1, -6) and (8, 9), substitute them into the formula and solve:
[tex]\frac{(9)-(-6)}{(8)-(1)} \\= \frac{9+6}{8-1} \\= \frac{15}{7}[/tex]
Thus, the slope is [tex]\frac{15}{7}[/tex].
2) Now, using the point-slope form of [tex]y-y_1 = m (x-x_1)[/tex], substitute [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex] for real values in order to write an equation in point-slope form. The [tex]m[/tex] represents the slope, so substitute [tex]\frac{15}{7}[/tex] in its place. The [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of one point on the line. So, choose any one of the points given - either one is fine - and substitute its x and y values for [tex]x_1[/tex] and [tex]y_1[/tex]. (I chose (8,9)). This gives the following equation and answer:
[tex]y-9 = \frac{15}{7} (x-8)[/tex]