1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
maria [59]
3 years ago
13

What is the point of intersection of these two lines:25x+10y=10010x+20y=120

Mathematics
1 answer:
wlad13 [49]3 years ago
7 0
Answer:
The point of intersection is (2,5)

Explanation:
To get the point of intersection, we would need to solve the two equations simultaneously. This is because, the point of intersection satisfies both equations.
The first given equation is:
25x + 10y = 100 ..........> equation I
The second given equation is:
10x + 20y = 120
Divide all terms by 10 to simplify, this would given us:
x + 2y = 12
This equation can be rewritten as:
x = 12 - 2y ...........> equation II

Substitute with equation I in equation II and solve for y as follows:
25x + 10y = 100 
25(12-2y) + 10y = 100
300 - 50y + 10y = 100
300 - 40y = 100
300 - 100 = 40y
40y = 200
y = 200 / 40
y = 5
Substitute with y in equation II to get x as follows:
x = 12 - 2y
x = 12 - 2(5)
x = 12 - 10
x = 2

Based on the above, the solution to the system of equations which also represents the point of intersection between the two lines would be (2,5)

Hope this helps :)
You might be interested in
MARK AS BRAINLIEST!!!
liq [111]

Answer:

Part A

it supposed to be x⩾-1/3 since you divided by negative

Step-by-step explanation:

Part A

4-6x⩾-15x+1

step 1: add -6x to both sides

4-6x+6x⩾-15x+6x+1

=4⩾-9x+1

step 2: subtract 1 from both sides

4-1⩾-9x+1-1

3⩾-9x

step 3: do reflexive property and divide

3⩾-9x

= <u>-9x⩽3</u>

-9

x⩽-1/3

and since you divided by negative, the sign must change. so it'll be x⩾-1/3

6 0
3 years ago
Ms. Cross’s fifth-grade class was planning a bake sale to make money for new equipment for the school grounds. Maia said, “Let’s
aleksley [76]

Answer:

vug7f

Step-by-step explanation:

jyu7tfytf65

3 0
3 years ago
Read 2 more answers
16) Please help with this question. Please answer with normal text (Ex: pi/4,etc... not math settings).
svetlana [45]
We can use tan(x) = sin(x)/cos(x). Plug in numbers to get:
tan(x+pi/2) = sin(x+pi/2)/cos(x+pi/2) 

Here, you can use the sin and cos addition identity:
tan(x+pi/2) = (sin(x)cos(pi/2)+cos(x)sin(pi/2))/(cos(x)cos(pi/2)+sin(x)sin(pi/2))

If you simplify this, you get:
0+cos(x)/0-sin(x) 

Which is the definition of cot(x). But, we can't forget about the '-' sign, so, the answer is -cot(x)
6 0
3 years ago
Find the length of the second leg of the triangle round to the nearest hundredth
horsena [70]

Answer:

\displaystyle \frac{3\sqrt{230}}{5}

Step-by-step explanation:

Use the Pythagorean Theorem:

\displaystyle a^2 + b^2 = c^2 \\ \\ 9,7^2 + b^2 = 13,3^2; \sqrt{82,8} = \sqrt{b^2} \\ \\ \frac{3\sqrt{230}}{5}\:[or\:9,0994505329...] = b

So, you have this:

\displaystyle 9,1 ≈ b

I am joyous to assist you at any time.

7 0
2 years ago
4 thousands + 21 tens equals how many
LiRa [457]
4 thousands = 4,000
21 tens = 21*10 = 210

210 + 4,000 = 4,210

Answer: 4,210
7 0
3 years ago
Read 2 more answers
Other questions:
  • The standard form of the equation of a parabola is v=7x^2+14x+4
    6·2 answers
  • Find the equation 3(x +5)+(3x +5)<br><br>​
    9·1 answer
  • (4x + 3) + (-2x + 4)
    14·2 answers
  • What is the volume of a right circular cone if the circumference of the base is 125.6 ft and the height is 75 ft.? Use π=3.14 an
    5·1 answer
  • What is the difference 1 1/2 - 3/4 ?
    11·1 answer
  • Please help me with this if u get it right u get BRAINLISTED HELP PLS​
    11·1 answer
  • A polygon with 7 sides has how many triangles​
    12·1 answer
  • Find the slope using the following two points (19.3) and (20,3)
    5·1 answer
  • BD is the bisector of angle ABC. Find the length of the segment AE.
    13·1 answer
  • Una funzione inversamente proporzionale è rappresentata da?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!