I’m guessing that this is for systems of equations?
n - nickels
d - dimes
These are the equations you start off with.
n = 5d-2
0.95 = 0.10d+0.05n
Substitute the top equation for n into the variable n in the bottom equation.
0.95 = 0.10d+0.05(5d-2)
Solve for d.
0.95 = 0.10d+0.25d-0.10
1.05 = 0.35d
3 = d
Substitute d into the top equation and solve for n.
n = 5(3)-2
n = 15-3
n = 12
There are 3 dimes and 12 nickels in the coin purse! Hope this helped <3
−<span>8.85174904141 is log 1/2^462</span>
Answer:
Step-by-step explanation:
At first, let's add - 9 to both the sides. So,
Now, using the definition of absolute value, we can change the equation to..
By, subtracting 3 from both the sides,
Now, divide both the sides by 6,
We now have 2 values of x. They are...
____________
Hope it helps!
To remember the ratios, use the mnemonic sohcahtoa.
S = O/H
C = A/H
T = O/A
In this case, we want S, sin. The side opposite angle X would be 24. The hypotenuse is 26, so the ratio is 24/26. <span />
Answer:
x=14, y=37
Step-by-step explanation:
We know that (4y-10)° and 3x° are supplementary angles, meaning the total sum of the angles add up to 180°. (4y-10)° is also corresponding to the blank angle below (9x+12)°, making it a vertical angle. Since (4y-10)°=(9x+12)° because they are vertical angles, then that means we can solve for x:
Original Equation: (4y-10)°+3x°=180
New Equation: (9x+12)°+3x°=180
9x+12+3x=180
12x+12=180
12x=168
x=14
So x is 14
Because x=14, then y is:
4y-10+3(14)=180
4y-10+42=180
4y+32=180
4y=148
y=37
So y is 37
