Answer:
Step-by-step explanation:
First, turn the word problem into an equation:
n(a number) was divided by 2
followed by this quotient beying multiplied by 4
*4
the product was added to 9
*4+9
the total sum was 25
*4+9 = 25
use PEMDAS to solve the equation
subtract 9 on both sides
*4 = 16
cancel the 2 and the 4 using factorization
n*2 = 16
divide 2 on both sides
n = 8
Answer:
I and IV
Step-by-step explanation:
Since 1-sin(θ)² = cos(θ)², the given equation is equivalent to ...
√(cos(θ)²) = |cos(θ)| = cos(θ)
This will be true where the cosine is non-negative, in the first and fourth quadrants.
Answer: 3/2
Step-by-step explanation:
Let's consider the points (6,9) and (4,6).
The difference in the y coordinates is 3, and the diffeence in the x coordinates is 2.
So, the slope is 3/2.
10d+ 25q+5n= 805
D= n+8
Q= n+ 5
10d+ 25q+5n= 805
10(n+8)+25(n+5)+5n=805
10n+80+25n+125+5n=805
40n+205=805
40n=805-205
40n= 600
N=600/40
N= 15
D= n+8
D= 15+8
D= 23
Q=n+5
Q=15+5
Q=20
So 15 nickels ,23 dimes and 20quarters .
To check
15(0.05)= $0.75
23(0.10)=$2.30
20(0.25)=$5.00
Add it
5.00+2.30+0.75=8.05
7.30+.75=8.05
8.05=8.05
Answer:
x = 49
Step-by-step explanation:
Given
= 
( cross- multiply )
5(x - 16) = 3(x + 6) ← distribute parenthesis on both sides
5x - 80 = 3x + 18 ( subtract 3x from both sides )
2x - 80 = 18 ( add 80 to both sides )
2x = 98 ( divide both sides by 2 )
x = 49
