Answer: (2,2)
Step-by-step explanation:
I'm going to use substitution to solve this:
First, I use the second equation to solve for y in terms of x.
2x - y = 2
-y = 2 - 2x
y = 2x - 2
Then, I plug the value for y into the first equation:
2x + 4y = 12
2x + 4(2x - 2) = 12
2x + 8x - 8 = 12
10x - 8 = 12
10x = 20
x = 2
Now that we have x, we can plug it into either equation (I used the first) to get the value for y:
2x + 4y = 12
2(2) + 4y = 12
4 + 4y = 12
4y = 8
y = 2
We get the point (2,2) as a solution.
Note: This is the point where both lines intersect.
After solving the equation, the value of for the points x and y are (2, 2).
What is an equation?Equations are mathematical expressions that have two algebra on either side of an equal (=) sign. The expressions on the left and right are shown to be equal to one another, demonstrating this relationship. L.H.S. = R.H.S. (left-hand side = right side) is a fundamental simple equation.
As per the given equation in the question,
2x + 4y = 12 (i) and
2x - y = 2 (ii)
Solve the value for y,
5y = 10
y = 10/5
y = 2
Substitute y=2 in equation (i)
2x + 4(2) = 12
2x = 12 - 8
x = 4/2
x = 2
Therefore, the point is (2, 2).
To know more about Equation:
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on a beautiful day there are 65 cars in the beach parking lot 26 more cars park in the parking lot before noon but 17 car slept how many cars are in the beach parking lot
Answer:
a
Step-by-step explanation:
A Red Oak tree is estimated to grow
0.25
feet every year. According to this estimate, how long will it take, in years, for a Red Oak tree to grow by
15
feet?
Answer:
60 years
Step-by-step explanation:
Which ordered pairs are solutions to the inequality 3x-4y>5
Note: you did not provide the answer options, so I am, in general, solving this query to solve your concept, which anyways would clear your concept.
Answer:
Please check the explanation.
Step-by-step explanation:
Given the inequality
[tex]3x-4y>5[/tex]
All we need is to find any random value of 'x' and then solve the inequality.
For example, putting x=3
[tex]3\left(3\right)-4y>5[/tex]
[tex]9-4y>5[/tex]
[tex]-4y>-4[/tex]
[tex]\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}[/tex]
[tex]\left(-4y\right)\left(-1\right)<\left(-4\right)\left(-1\right)[/tex]
[tex]4y<4[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}4[/tex]
[tex]\frac{4y}{4}<\frac{4}{4}[/tex]
[tex]y<1[/tex]
So, at x = 3, the calculation shows that the value of y must be less
than 1 i.e. y<1 in order to be the solution.
Let us take the random y value that is less than 1.
As y=0.9 < 1
so putting y=0.9 in the inequality
[tex]3\left(3\right)-4\left(0.9\right)[/tex]
[tex]=9-3.6[/tex]
[tex]=5.4[/tex]
As 5.4 > 5Means at x=3, and y=0.9, the inequality is satisfied.
Thus, (3, 0.9) is one of the many ordered pairs solutions to the inequality 3x-4y>5.
Miles has 10 red marbles, 3 blue marbles and 5 green marbles. He randomly chooses a marble out of a bag 150 times. Make a prediction of how many times Miles will pull a green marble
A Close to but not exactly 30
B Close to but not exactly 300
C Close to but not exactly 90
D Close to but not exactly 45
Answer:
D
Step-by-step explanation:
Lauren buys 17 pounds of bread for her restaurant every day at a cost of $1.40 per
pound.
How much does she pay for the bread each day?
A high school basketball team scored 60 points in last week’s game. The team scored a total of 27 baskets; some were two-point shots and some were three-point shots. How many two-point shots did they make? How many three-point shots did they make?
x + y = 27,
2x + 3y = 60
What is the solution of the system of equations, and what does it represent?
options:
(6, 21); 6 two-point shots and 21 three-point shots
(6, 21); 6 three-point shots and 21 two-point shots
(21, 6); 21 two-point shots and 6 three-point shots
(21, 6); 21 three-point shots and 6 two-point shots
Answer:
the answer is (21, 6); 21 two-point shots and 6 three-point shots
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
i did the test
Find $m\angle LKM$ .
Answer:I need a picture or numbers to answer
Step-by-step explanation:
Select all of the equations that are equivalent to 3.2 + 6 = 27
3x=21
3.x=33
X+ 6 = 24
x + 2 = 9
The sum of two numbers is 68 and the difference is 12. What are the numbers? Larger number: Smaller number:
Answer:
This is hard asfk
Step-by-step explanation:
Sorry but im confused just as you.
PLEASE SOLVE
Michelle delivers books to school libraries. Her truck has a slide out ramp for unloading the
books. The top of the ramp is 3 feet above the ground. The ramp itself is 5.2 feet long What is
the horizontal distance the ramp reaches?
Answer: about 6 feet
Step-by-step explanation:
3^2+5.2^2=36.4
Square root of 36 is 6
Help asap please!! I will mark you as brainliest :)
Answer:
52
Step-by-step explanation:
bro imma be honest with you the way i figured this out doesnt even make sense so im not even gonna try and explain ths lol
Which of the following is an arithmetic sequence?
A.
3, 9, 81, 6561, …
B.
4, 1, −2, −5, …
C.
2, −2, 2, −2, …
D.
4, 1, 4, 7, …
Answer:
D
Step-by-step explanation:
Answer:
It's the B
Step-by-step explanation:
The arithmetic sequence here is made by subtracting 3 every time
Hope this helps, have a good day
What is the median?
122235
Hey there!
When you hear / see the word “median” think of it asking “what’s number is in the middle?” ; so basically it the number in middle
Your numbers: 1, 2, 2, 2, 3, 5
Your middle / median number seems to be 2 based on the information you have in this particular equation
Answer: 2 ☑️
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
A boat travels 429 miles in 13 hours (with a constant
speed). How far can it travel in 6 hours (with the same
speed)?
Set up a proportion with your given rate, and what
you're solving for
Answer:
198 Miles in 6 hours.
(It travels 33 miles every hour)
Step-by-step explanation:
(Mark me Brainliest plz)
construct ABCD with AB =5.5cm BC=3.5cm,CD=4cm,AD=5cm, and angle A=45°, with construction steps
Answer:
Step 1: Steps for construction
Take AB at 5.5 cm
Step 2: construct as 45 degree
Step 3: A draw angle ABY=45 degree
Step 4: cut off from AY, a segment AD=5 cm
Step 5: With B as center and radius as 3.5cm draw an arc.
Step 6: With D as the center and mark radius as 5 cm and draw an arc cut the 1st arc at C
Step 7: join B to C and C to D
Result: Then ABCD is a required quadrilateral
Hope this helps you hit the crown :D
tell me if correct ok?
9514 1404 393
Answer:
see the attachment
Step-by-step explanation:
1. Lay out points A and B so they are 5.5 cm apart.
2. Set the compass to 5 cm and draw arcs that intersect above and below segment AB. Label the intersection points Y and Z.
3. Draw segment YZ as a perpendicular bisector of AB.
4. Label the intersection of YZ and AB point E.
5. Using E as the center and AE as the radius, draw an arc that intersects segment YZ at F.
6. Draw segment AD through F. D will lie on the circle of radius 5 cm centered at A. This segment makes 45° angle DAB.
7. Draw an arc of radius 4 cm centered at D through the vicinity of point C.
8. Draw an arc of radius 3.5 cm centered at B through the vicinity of C. The intersection point with the arc of step 7 is point C.
9. Draw quadrilateral ABCD meeting the given requirements.
_____
About the attachment
My geometry tool draws circles of a given radius more easily than arcs of a given radius, so you see circles where only arcs are needed.
Tanya is printing a report. There are 92 sheets of paper in the printer, and the number of sheets of paper p left after t minutes of printing is given by the function p(t) = −8t + 92.
Here is the complete question I was able to find:
Tanya is printing a report. There are 92 sheets of paper in the printer, and the number of sheets of paper p left after t minutes of printing is given by the function p(t) = -8t + 92.
How many minutes would it take the printer to use all 92 sheets of paper?
Answer:
The printer needs 11.5 minutes to use all 92 sheets of paper.
Step-by-step explanation:
Given the function
p(t) = −8t + 92
We need to determine how many minutes would it take the printer to use all 92 sheets of paper?We know that putting p(t) = 0 means we will be able to determine the time when all the 92 sheets of paper will have been printed.
Because, putting p(t)=0 means there won't be any sheet left.Thus, plug in p(t) = 0 in the function and calculate the time 't'
p(t) = −8t + 92
0 = −8t + 92
adding 8t to both sides
8t = −8t + 92 + 8t
8t = 92
dividing both sides by 8
8t/8 = 92/8
t = 11.5 minutes.
Thus, the printer needs 11.5 minutes to use all 92 sheets of paper.
please show work
A car travels 360 miles in 8 hours (with a constant speed). How much time will it take traveling 168 miles?
Answer:
3.7hours
Step-by-step explanation:
Step one:
A car travels 360 miles in 8 hours
the speed is calculated as
speed= distance/time
speed= 360/8
speed= 45mph
Step two:
How much time will it take traveling 168 miles?
having found the speed, which is the rate at which the car is tavelling
time= distance/speed
time= 168/45
time= 3.7hours
If 24 = 118, what is the measure of each of the other
angles?
Answer:
Step-by-step explanation:
Lines l and m are the parallel lines and line n is a transversal intersecting parallel lines.
Since, m∠2 = m∠4 = 118° [Given]
m∠2 = m∠6 = 118° [Corresponding angles]
m∠4 = m∠8 = 118° [Corresponding angles]
m∠1 + m∠2 = 180° [Linear pair of angles]
m∠1 = 180° - 118° = 62°
m∠1 = m∠5 = 62° [Corresponding angles]
m∠3 = m∠1 = 62° [Corresponding angles]
m∠7 = m∠5 = 62° [Corresponding angles]
HELP IS THIS PROPORTIONAL RELATIONSHIP?!
Answer:
no it isn't
Step-by-step explanation:
Answer:
I am not fully sure but I think its not proportional
Step-by-step explanation:
can someone help me please!!!
how do i solve this?
Answer:
add up ??
Step-by-step explanation:
Janna is looking for an apartment. She plans on paying no more than 25% of her monthly income in rent. If she earns $1,825 a month, which amount represents the most she plans to pay in rent every month?
Answer:
456.25
Step-by-step explanation:
25% as a decimal is .25
To find 25% of her monthly income, multiply 1,825 by .25
1825*.25=$456.25
I need help please #23
Answer:
24
Step-by-step explanation:
8%=8/100
& 8/100 of 60=4.8 ( "of" in mathematic means "multiply")
check if you get 4.8 by multiplying each of the given options by 1/5
1/5 0f 24=4.8
So 24 will be the ans
A painter painted about a fifth of a room in a fifth of a day. Coley estimated the painter would paint 6 rooms in 6 days. Is Coley's estimate reasonable? Complete the explanation.
EXPLANATION: Coley's estimate (is not/is) reasonable because the painter's unit rate is (blank) room per day, so in 6 days the painter would paint about (blank) rooms.
Answer:
yes he is correct
Step-by-step explanation:
if he is painting 1/5 of a room in 1/5 of a day he is painting 1 room in 1 day therefore he can paint 6 rooms in 6 days
the tempature rises 36° F. each hour the tempature rises 6°F. write an equation that models the tempature y, in degrees Fahrenheit, after x hours
i genuinely don't understand . please help me asap
Answer:
48.17
Step-by-step explanation:
Umm.. i don't really have time to explain but
A^2+B^2=C^2
36^2+32^2=48.17
— 8х + 3y = 17
8x — 9y = — 19
Answer:
x= 83y−17 and y= 83x+17
hope it helps
Find the value of side b. Show what equation you used, what values you plugged
into the equation, your work, and the answer.
Answer:
If it's hypotenuse for the side angle I think the answer is 25
Step-by-step explanation:
[tex]\sqrt[n]{15^{2} + 20^2} = 25 If you're doing hypotenuse[/tex]
√ 25 –2√3 + √27 +2√ 9 Express in simplified radical
Answer:
The expression in simplified radical form is:
√ 25 –2√3 + √27 +2√ 9 = 11 + √3
Step-by-step explanation:
Given the expression
√ 25 –2√3 + √27 +2√ 9
as
√ 25 = 5
√27 = 3√3
2√9 = 6
so the expression becomes
√ 25 –2√3 + √27 +2√ 9
= 5 - 2√3 + 3√3 + 6
= 11 + √3
Thus, the expression in simplified radical form is:
√ 25 –2√3 + √27 +2√ 9 = 11 + √3
(3x2 - 2x + 5) - (3x2 - 8x + 2) =