Turn -1 3/5 into an improper fraction. Then keep switch and flip the problem so that you are multiplying the two fractions.
-8/5 x -3/2
24/10
Simplify by taking a 2 out of the top and bottom
12/5 is your answer
Hope this helps!
Answer: x = 7
Step-by-step explanation:
The two angles depicted in the image are vertical angles since they are a pair of opposite angles made by two intersecting lines. Vertical angles are always congruent meaning that the two angles in the picture are equal. Therefore:
9x + 16 = 12x - 5
-3x + 16 = -5
-3x = -21
x = 7
For problems like this we must take what we know and make a system of equations which is a fancy name for a group of equations that can be used to solve one another.
The first equation we can make is the one which takes into account the total amount we have: 10D + 5N + P = 110 (where D is the number of dimes, N is the number of nickels and P is the number of pennies.
Because we have three variables, we need three equations to solve for each one. The problem states that we have three times as many nickels as pennies so we can write the equation N = 3P.
The final equation we can make is from the statement saying there are two less dimes than pennies, we can write this as D+2=P
Now we must use all these equations to solve for a single variable.
D+2=P
N=3P
10D + 5N + P = 110
Lets solve for P by changing everything to Ps by substituting the top two equations into the bottom one to get:
10(P-2) + 5(3P) + P = 110
10P - 20 +15P + P = 110
26P = 130
P=5
We can plug this into the smaller equations to find
N=3P=3(5)=15 and D+2=P, D+2=5, D=3
Dimes: 3
Nickels: 15
Pennies: 5
i belive it is -7 this may be your answer
I believe it would be b.
explanation: use this rule: (x^a)^b = x^ab