1/8 of all=mystery
mystery=3
'of' means multiply
therefor
1/8 times all=3
multiply both sides by 8/1 to clear fracion
all=24
Answer: a. yes, one pair of opposite sides could measure 10in., and the other pair could measure 13 in.
Step-by-step explanation: i just took it
Answer:
B. No solutions
Step-by-step explanation:
8x+2y=14
8x+2y=4
These linear equations are in standard form, and the Ax values are the same (8x) and the By values are the same (2y). The only value that is the different is the C values (14 and 4), which will be the cause of a no solution for this system of equations.
I can’t see the image but may just be my phone
Answer:
50 quarters and 28 nickels
Step-by-step solution:
We have two variables we are solving for. We will call them Q for the number of quarters and N for the number of nickels.
We know that the total number of coins is equal to 78, and we know that the total amount the coins are worth is equal to $13.90. With this information, we can set up a system of equations:
Q + N = 78
0.25Q + 0.05N = 13.90
Now we can solve for either Q or N in the first equation and solve by substitution by plugging the value into the second equation. Let's solve for Q:
Q = 78 - N
Now plug in 78-N for Q:
0.25(78-N) + 0.05N = 13.90
Distribute and combine like terms:
19.50 - 0.25N + 0.05N = 13.90
19.50 - 0.20N = 13.90
-0.20N = -5.60
N = 28
Now we know that there are 28 nickels. We can plug this into one of the original equations to solve for Q:
Q + 28 = 78
Q = 50
There are 50 quarters. We can verify our answer by plugging the values for A and N into the other equation (optional step to check work):
0.25(50) + 0.05(28) = 13.90
12.5 + 1.40 = 13.9
13.9 = 13.9
Our answer is correct.
