Answer:
a. £2,500
b. £3,125
Step-by-step explanation:
The computation is shown below:
a. The original monthly expenditure is
Let us assume the original monthly expenditure be x
Monthly expenditure = x -15% of x
£2,125 = x - 0.15x
£2125 = 0.85x
x = £2125 ÷ 0.85
= £2,500
b. Now the monthy income is
Let us assume the monthly income be y
£2,500 = 80% of monthly income
£2,500 = 80% of y
y = £2,500 ÷ 80%
= £3,125
If its 3/4 than it would have to be 12 cups in total
Q1. The answer is <span>1 over 5 to the 3rd power.
</span>5 to the 5th is 5⁵
5 to the 8th is 5⁸
5 to the 5th over 5 to the 8th is

To simplify, we will use two rules:

Therefore:


is the same as 1 over 5 to the 3rd power.
Q2. The answer is <span>(53)−4.
The exponents are multiplied when are expressed in the form:
</span>

So,

Other choices are incorrect:
<span>one third to the 4th times one third to the 7th is </span>

3 to the 7th over 3 to the 15th is

<span>45 ⋅ 42 is </span>
Answer: Dilation is a transformation that proportionally reduces or enlarges a figure.
Step-by-step explanation:
- A dilation a transformation that changes the size of the shape by using scale factor in particular ways .
It stretches or shrinks the actual figure. It produces similar figures.
Since the corresponding sides of similar figures are in proportion.
⇒ It proportionally reduces or enlarges a figure.
Hence, A dilation is a transformation that proportionally reduces or enlarges a figure.
210/360 = 7/12, meaning the shaded area is 7/12 of the entire circle.
The circle has radius 12 in, so its total area is π (12 in)^2 = 144π in^2.
Then the area of the shaded region is 7/12 of this, or
7/12 * (144 π in^2) = 84π in^2 ≈ 263.89 in^2