Answer:
Larger number:
16
Smaller number
3
Step-by-step explanation:
Larger number: 16
Smaller number: 3
Explanation:
Suppose the larger number is
a
and the smaller number is
b
.
You solve the following system of equations:
a⋅b=48
a−13=b
Since b is a −13, you can plug that into a⋅b=48, so...a⋅(a−13)=48
a 2−13a=48
a2−13a−48=0
Factor the polynomial:
(a−16)(a+3)=0
a=16 or a=−3a is positive so a=16.
We can now solve for b by plugging in a, so...16−13=b3=b We have a=16 and b=3, meaning that the larger number is 16 and the smaller number is 3.
Answer:
b. option Is the correct answer right
Answer:
The number of tiles the rug will cover is 54 tiles
Step-by-step explanation:
Here we have,
Total area covered by the rug = 18 ft²
Size of one tile = 1/3 ft²
Therefore the number of tiles that can fit into the the area is given by;
Total area of the rug ÷ Area of one tile
= 18 ft² ÷ 1/3 ft²
Here we note that we are dividing a number by a fraction which is the same as multiplying the number by the inverse of the fraction as follows
= 18 × 3/1 ft²/ft² = 54 tiles
The number of tiles the rug will cover = 54 tiles.
