The two numbers are 6 and 10
<em><u>Solution:</u></em>
Let "x" be the smaller number
Let "y" be the larger number
Given that difference between two numbers is 4
larger number - smaller number = 4
y - x = 4 ----- eqn 1
Also given that three times the smaller number is equal to two times the larger less two
three times smaller number = 2 times larger number less two
3x = 2y - 2 ---- eqn 2
From eqn 1,
y = 4 + x --- eqn 3
Substitute eqn 3 in eqn 2
3x = 2(4 + x) - 2
3x = 8 + 2x - 2
x = 6
From eqn 3,
y = 4 + 6 = 10
Thus the two numbers are 6 and 10
Answer:
10
Step-by-step explanation:
40 × 0.25 = 10
hope it's helpful
Answer: 1. $45*1.07 | $45(1.07) 2. (0.85)*32 represent the final price of the cake in dollars because (0.85) is the 15% off in decimals.
Step-by-step explanation:
1 if you multiply 45 by 1.07 it will be 48.15 and that's the final cost of the book, same with $45(1.07) is just another way to represent the multiplication.
2 As I said the 0.85 represent the 15% off, and when you multiply it will be less.
Answer:
Step-by-step explanation:
These angles will be equal when each of them measures 45 degrees. On the unit circle, 45 degrees and reference angles of 45 degrees are the only places where sin and cos are the same. This means that
sin(4x + 10) = 45 and cos(6x) = 45
If we add the angles together (the angles being 4x+10 and 6x) we get a 90 degree angle. Thus,
4x + 10 + 6x = 90 and
10x = 80 so
x = 8. Let's try it out:
sin(4(8) + 10) = sin(42) = .6691306064 and
cos(6(8)) = cos(48) = .6691306064
Yay!!!!!
This is a GS with first term -5 and common ratio = 5.
an = a1. r^(n -1)
= -5 . 5^(n - 1)
Its D
