1.
a. let k = constant
k = y/x
so k = 14/2 = 7
b. the equation would be y = 7x
2. a. k = y/x = 25/5 = 5
b. y = 5x
c. 50 = 5x, x = 50/5 = 10
First are you in connections academy? I am, I had this disscussion before.
Addition:John asks for 2/8 of Riley's cake. Jake gives John 3/6 of his cake. How much cake does John have all together? 2/8+3/6=3/4. 3/4ths in the decimal form is 0.75. That is a Terminating decimal.
Subtraction:Chris threw away 7/12 of his pizza. His buddy James threw away 5/8 of his pizza.How much pizza did they throw away? 7/12-5/8=-1/24. the decimal form is:0.041666667. Hope That helps!!!! :)
The volume of a cuboid is = length × width × height.
Let the width of Olivia's lunch box be 'x'.
Hence the length of Olivia's lunch box shall be 'x + 2'
Also the height of the box is given as 3 inches.
The volume of the box is 240 in³
Substituting in the formula we get

Dividing by 3 on both sides

Exapnding we get

Subtracting 80 from both sides

Factoring

We get
x= -10 or x = 8
But x cannot be negative
So x = 8
Hence the width of the box is 8 inches.
Answer:
PQ ≈ 14.14 units
Step-by-step explanation:
calculate the distance d using the distance formula
d = 
with (x₁, y₁ ) = P (0, 4 ) and (x₂, y₂ ) = Q (10, - 6 )
PQ = 
= 
= 
= 
≈ 14.14 units ( to 2 dec. places )
Answer: (B) 1.12
Step-by-step explanation:
8 weeks = 56 days
56 days x 20 grams = 1120 grams
1120 grams = 1.12 kilograms