Answer: x=40
Step-by-step explanation x-0.3x=28
Add similar elements x-0.3x=0.7x
0.7x=28
Multiply both sides by 10
0.7x · 10= 28 · 10
Refine
7x=280
Divide both sides by 7
Simplify
x = 40
Answer:
perimeter = 15.42 cm
Explanation:
Semi-circle is defined as half a circle.
The formula used to compute the perimeter of the semi circle is:
perimeter = πr + 2r
where:
π is a constant = 3.14
r is the radius = 3 cm
Substitute with the givens in the above formula to get the perimeter as follows:
perimeter = π(3) + 2(3)
perimeter = 3π + 6
perimeter = 3(3.14) + 6
perimeter = 15.42 cm
Hope this helps :)
B. cause it is in sections
Answer :
6 : Margaret has 30 50-cent coins and 26 10-cent coins
let 'x' represent the number of 50-cent coins, then '56-x' represents the number of 10-cent coins
17.60 = 0.5x + 0.1(56-x)
solving for 'x' we have x=30
56-30 = 26
7 : Total money = $29.40
mich money = m dollar,
amy money = (3/4)m dollars,
Total = m + 3m/4 = 29.40,
4m+3m = 4*29.4,
7m = 117.6,
m = 117.6/7 = 16.8
Hence,
Michelle's money = $16.80
Amy money = $12.60
8 : (a) The amount of milk in a carton is normally distributed with a mean of 260 millilitres (mL) and a standard deviation of 8 mL. Every milk carton is labelled with the serving size as 250 mL. (i) What is the probability that a randomly selected carton has more than the labelled serving? [3 marks) (ii) Determine the amount of milk in a carton for which only 7.08% of cartons fall below this amount. [3 marks (iii) Find an interval around the mean y = 260mL such that 95% of all milk cartons fall within this interval. (5 marks)
9 : a=3, b=5
So b+2 = a+4 = 4a-b
b=a+2
3a=b+4
b=2a-1
Hence
2a-1=a+2
10 : original dimensions of rectangle, length = 18cm and width = 10cm
Let length and width = L and W.
from statement "A rectangle has perimeter 56 cm. If 4 cm is taken from the length and added to the width, the rectangle becomes a square", you can deduce
2L + 2W = 56 ( its sides make up its perimeter )
L - 4 = W + 4
L = W + 8
sub L = W + 8 into 2L + 2W = 56
2 ( W + 8 ) + 2W = 56
2W + 16 + 2W = 56
4W = 40
W = 10
sub W = 10 into L = W + 8
L = 10 + 8 = 18
The answer would be a.) The volume is the product of the area of the base 2x(2x+4) and the height 2x-2
Showed work if needed:
2x(2x-4) × 2x-2 = 4x-8x × 2x-2
= 4x-16x-2
= 4x+(-16x)-2
= -12x-2
=24
