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
Ghella [55]
4 years ago
13

If the lines px = 12 and 2x + qy = 10 intersects at (1 , 1), what is the value of p + q?

Mathematics
1 answer:
shusha [124]4 years ago
5 0

Answer:

p + q = 20

Step-by-step explanation:

Given the lines intersect at (1, 1 ) then x = 1 and y = 1 make the equations true.

Consider

px = 12 with x = 1

p = 12

Consider

2x + qy with x = 1 and y = 1

2 + q = 10 ( subtract 2 from both sides )

q = 8

Hence p + q = 12 + 8 = 20

You might be interested in
6 pints = to how many quarts=
Alchen [17]

Answer:

6 pints = 3 quarts = 5.91 cups = 0.74 gallons

(cups and gallons are rounded)

Step-by-step explanation:

5 0
4 years ago
PLEASE HELP!! URGENT
Slav-nsk [51]

1. The problem statement tells you to find "the area of the hexagonal face".

2. If we assume the intent is to find the shaded area of the face only, it differs from the area of a regular hexagon in that there is a hole in the middle.

3. You must find the area of the regular hexagon, and subtract the area of the circular hole in the middle.

4. The formula for the area of a circle in terms of its radius is

... A = πr²

5. The formula for the area of a regular hexagon in terms of the radius of the circumcircle is

... A = (3√3)/2·r²

6. The radius of the circumcircle of the regular hexagon is given. No additional information is needed.

7. You can use the trig functions of the angles of an equilateral triangle to find the apothem, but there is no need for that when you use the formula of 5.

8. All this is unnecessary. The apothem is (8 mm)·(√3)/2 = 4√3 mm ≈ 6.9282 mm, the shorter leg is (8 mm)·(1/2) = 4 mm. The perimeter is 6·8 mm = 48 mm.

9. The area of the hexagon is

... A = 3√3/2·(8 mm)² = 96√3 mm² ≈ 166.277 mm²

10. The area of the circle is

... A = π·(4 mm)² = 16π mm² ≈ 50.265 mm²

11. The area of the hexagonal face is approximately ...

... 166.277 mm² - 50.265 mm² = 116.01 mm²

6 0
3 years ago
1. Kristen spent $131 on shirts at Target last week. She bought some fancy shirts for
Masja [62]

Answer:

Kristen bought 2 fancy shirts and 5 plain t-shirts.

Step-by-step explanation:

Given that,

Kristen spent $131 on 7 shirts.

Cost of one fancy shirt = $28

Cost of one plain t-shirt = $15

Let,

x be the number of fancy shirts

y be the number of plain t-shirts

x+y = 7       Eqn 1

28x+15y=131    Eqn 2

Multiplying Eqn 1 by 15

15(x+y=7)

15x+15y=105    Eqn 3

Subtracting Eqn 3 from Eqn 2

(28x+15y)-(15x+15y)=131-105

28x+15y-15x+15y=26

13x=26

Dividing both sides by 13

\frac{13x}{13}=\frac{26}{13}\\x=2

Putting x=2 in Eqn 1

2+y=7

y=7-2

y=5

Hence,

Kristen bought 2 fancy shirts and 5 plain t-shirts.

3 0
3 years ago
Help Me Please I Need It
Eduardwww [97]
What is the question?
3 0
3 years ago
Which side lengths form a right triangle?
Masja [62]

Answer: choice B

Explanation: Go through each answer choice and try the Pythagorean theorem to see if it works. This is because a right triangle’s side lengths are described by the Pythagorean theorem. one side^2 + second side^2 = longest side^2. In a right triangle, this equation will be true. Let me show you what I mean

For answer choice A:

(root 2)^2 + (root 3)^2 = (root 4)^2

2 + 3 = 4

5 = 4

5 does not equal 4. Therefore it cannot be A.

For answer choice B:

(root 8)^2 + (3)^2 = (root 17)^2

8 + 9 = 17

17 = 17

this is true! therefore this is a right triangle and it’s B

3 0
3 years ago
Other questions:
  • What is 1 divided by 10? Long divison way pls
    10·2 answers
  • What is the volume of the pyramid?
    11·1 answer
  • Can a irrational number be a rational number?
    6·1 answer
  • Find a ratio of 2 kg and 750 gram​
    7·1 answer
  • HURRY PLEASE! i need this asap
    12·1 answer
  • The path of a football kicked by a field goal kicker can be modeled by the equation y = –0.04x2 + 1.56x, where x is the horizont
    11·1 answer
  • Look at the figure. Find TW
    12·1 answer
  • Find the retail price if original cost is $45 and markup 20%
    5·2 answers
  • Ashley and joe each improved their yards by planting hostas and ornamental grass. They bought their supplies from the same store
    6·1 answer
  • 39.) A shirt that costs $30 is on sale for 20% off. What is the total cost of the<br> shirt?
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!