14-7 = 7
7 more red roses than pink roses
Answer:
(a) x = -2y
(c) 3x - 2y = 0
Step-by-step explanation:
You can tell if an equation is a direct variation equation if it can be written in the format y = kx.
Note that there is no addition and subtraction in this equation.
Let's put these equations in the form y = kx.
(a) x = -2y
- y = x/-2 → y = -1/2x
- This is equivalent to multiplying x by -1/2, so this is an example of direct variation.
(b) x + 2y = 12
- 2y = 12 - x
- y = 6 - 1/2x
- This is not in the form y = kx since we are adding 6 to -1/2x. Therefore, this is <u>NOT</u> an example of direct variation.
(c) 3x - 2y = 0
- -2y = -3x
- y = 3/2x
- This follows the format of y = kx, so it is an example of direct variation.
(d) 5x² + y = 0
- y = -5x²
- This is not in the form of y = kx, so it is <u>NOT</u> an example of direct variation.
(e) y = 0.3x + 1.6
- 1.6 is being added to 0.3x, so it is <u>NOT</u> an example of direct variation.
(f) y - 2 = x
- y = x + 2
- 2 is being added to x, so it is <u>NOT</u> an example of direct variation.
The following equations are examples of direct variation:
Answer:
7 cookies
Step-by-step explanation:
We have 3 brothers
First , Second, Third
Let the total number cookies be represented by A
1 cookie = 1
Working backwards, we start from the third brother
If we work backwards
It means he gave everything away
We start from the youngest
He was given 1/2 of what was left and 1/2 a cookie
This means,
1/2 + 1/2 = 1
The second brother
He got half of what is left and 1/2 a cookies
Half of what is left from brother
= What the youngest brother got + 1/2 + 1/2 a cookie
= 1 + 1/2 + 1/2
= 1.5 + 1/2
= 2 cookies
For the first brother
He got 1/2 of the cookies + 1/2 cookie
= 1.5 × 2 + 1/2 + 1/2 cookies
= 3 1/2 + 1/2
= 4 cookies
The first brother got 4 cookies
The second brother got 2 cookies
The third broth got 1 cookies
Answer:
Ball Bearing Volume = (4 / 3) * PI * radius ^3
Volume = (4 / 3) * 3.14159265 * (.35)^3
Volume = (4 / 3) * 3.14159265 * 0.042875
Volume = 0.17959438 cc
1 cc of steel = 7.8 g
Volume of 1 kg of steel = 1,000 cc / 7.8 g per cc
1 kg = 128.205 cc
Number of ball bearings we can make = 128.205 / 0.17959438
Equals 713.86
Step-by-step explanation:
Answer: The number is 10.
Step-by-step explanation:
Let x be the required number.
Given: 11 is multiplied to the number then 24 is subtracted from that and the result is 86.
The mathematical statement for the given situation,
11x -24 = 86
To solve the equation, Add 24 on both sides , we get
11x - 24 +24 = 86+24
⇒ 11x = 110
Divide both sides by 11, we get
x = 10
hence, the number is 10.
