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
Oliga [24]
3 years ago
11

Three times a number plus three times a second number is fifteen. Four times the first plus twice the second number is fourteen.

Find the numbers.
Mathematics
1 answer:
Alexxx [7]3 years ago
3 0

Answer:

x = 2 | y = 3. ( 2,3 )

Step-by-step explanation:

2(3x + 3y = 15)

6x + 6y = 30

3(4x + 2y = 14)

12x + 6y = 42

- 6x. -6y. -30

6x = 12

÷ 6. ÷6

x = 2

3x + 3y = 15

3(2) + 3y = 15

6 + 3y = 15

-6. -6

3y = 9

÷3. ÷3

y = 3

You might be interested in
What is the volume of the rectangular prism
harkovskaia [24]

Answer:

Step-by-step explanation:

you got this i believe in you!

6 0
3 years ago
Find the equation of the line that is perpendicular to x - y = -5 and passes through (4, 7).
Ivanshal [37]
X - y = -5
-y = -x - 5
y = x + 5...slope here is 1. A perpendicular line will have a negative reciprocal slope. All that means is flip ur slope and change the sign. So our perpendicular line will have a slope of -1.

y = mx + b
slope(m) = -1
(4,7)...x = 4 and y = 7
now we sub and find b, the y int
7 = -1(4) + b
7 = -4 + b
7 + 4 = b
11 = b

so ur perpendicular equation is : y = -x + 11 <==
8 0
3 years ago
*Find the area of the figure below. Use 3.14 for pi.<br><br> Area= square inches
alex41 [277]

Answer:

100.26

Step-by-step explanation:

You would find the area of the semi circles on either side of the rectangle by plugging the diameter into the formula for the area of a circle. Then you would add that to the are of the rectangle.

This is what that would look like:

1. Divide 6 (the diameter) by 2 because r=\frac{1}{2} d

r=\frac{1}{2} 6

r=3

2. plug into the formula A=\pi r^{2}

A=\pi 3^{2}

3. square the 3

A=\pi 9

4. multiply 9 by 3.14 (pi)

A=28.26

This means the area of both the semi circles added together would equal 28.26

Then you would use the formula A=lw to find the area of the rectangle

1. plug in the numbers given

A= 12 · 6

2. solve

A=72

Then add the area of the semicircles to the area of the rectangle

A=28.26+72

to get the area of the entire figure:

A=100.26

3 0
3 years ago
A rubber ball is dropped from the top of a hole. Exactly 20 seconds later, the sound of the rubber ball hitting bottom is heard.
gayaneshka [121]

9514 1404 393

Answer:

  4192.9 ft

Step-by-step explanation:

We assume your falling-distance formula is supposed to be ...

  s = 16t²

So, the time required to fall distance s is ...

  t = √(s/16) = (1/4)√s

The time required for sound to travel distance s is ...

  s = 1100t

  t = s/1100

Then the sum of the time for the ball to fall and the time for the sound to travel back is ...

  (1/4)√s + s/1100 = 20

  275√s = 22000 -s . . . . . multiply by 1100 and subtract s

  75625s = s^2 -44000s +484,000,000 . . . square both sides

  s^2 -119,625s +484,000,000 = 0 . . . . put in standard form

  s ≈ (1/2)(119,625 ±√12,374,140,625) = {4192.943, 115432.057}

Only the smaller of these two solutions makes any sense in this problem.

The hole is about 4192.9 feet deep.

_____

<em>Additional comment</em>

The distance equation for the falling object presumes a vacuum. The sound transmission presumes the presence of air, so the question setup is self-contradictory.

7 0
3 years ago
ANyone wanna chat pls feel free to ask me math questions
Romashka-Z-Leto [24]

Answer:

ok I can chat ok I am ready

7 0
2 years ago
Read 2 more answers
Other questions:
  • A construction company plans to invest in a building project. There is a 30% chance that the company will lose $30,000, a 40% ch
    6·1 answer
  • A stainless steel patio heater is a square pyramid. The length of one side of the base is 19.6 m. The slant height of the pyrami
    15·1 answer
  • What is the equation of the line that is parallel to the given line and passes through the point (–2, 2)? y = One-fifthx + 4 y =
    5·2 answers
  • Please how to do this ​4−(3−5)= ​​
    11·1 answer
  • Someone help me with number 12 please please
    6·2 answers
  • 10(2x+-15)= 40x=30 how do i solve this?
    12·1 answer
  • How do I solve this equation and check the solutions?
    14·1 answer
  • Math <br> Pls solve soon.
    9·1 answer
  • To get on a certain toll road a driver has to take a card that lists the mile entrance point. The card also has a timestamp. Whe
    7·1 answer
  • Solve for x.<br><br> −3(6−x)=51<br><br> Enter your answer in the box.
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!