The trick here is to relate the NUMBER of coins to each other in one equation, and then the VALUE of the coins in another equation. If I have 1 dime, that 1 dime is worth 10 cents. The number of dimes is obviously not equal to the value. Let's call quarters q and dimes d. The number of these 2 types of coins added together is 80 coins. So q + d = 80. Now, we know that quarters are worth .25 and dimes are worth .1, so we express a quarter's worth as .25q; we express a dime's worth as .1d. The value of the coins we have is 14.90. So that equation is .25q + .1d = 14.90. Let's solve the first equation for q. q = 80 - d. We can now use that as a substitution for q into the second equation, giving us an equation with only 1 unknown, d. .25(80-d) + .1d = 14.90. Distributing through the parenthesis we have 20 - .25d + .1d = 14.90. Combining like terms gives us - .15d = - 5.1. We will divide both sides by - .15 to get that the number of dimes is 34. If we had a total of 80 coins, then the number of quarters is 80 - 34, which is 46. 46 quarters and 34 dimes
Answer:
70 members in 2016
Step-by-step explanation:
In 2016
Let the number of members= x
They all paid y amount
Total fees= 42
Xy= 42...... equation 1
In 2017
Members= x+20
They paid y-0.1
Total fees = 45
(X+20)(y-0.1)= 45…equation 2
Xy -0.1x +20y -2= 45
Using values from equation 1
42-0.1(42/y) +20y -2= 45
-4.2/y+20y-5= 0
20y² -4.2 -5y = 0
100y² -25y -21= 0
Solving quadratically
Y= 0.6 or -0.35
We are dealing with price so y Is
definitely a positive number
Y= 0.6
If y= 0.6
Solving for x
Xy= 42
X= 42/0.6
X=70
There were exactly 70 members in 2016
Answer:
Dr. Nemur appears to be uncomfortable around me. Sometimes when I try to talk to him, he just looks at me strangely and turns away. I was angry at first when Dr. Strauss told me I was giving Dr. Nemur an inferiority complex. I thought he was mocking me and I’m oversensitive at being made fun of.
What does this excerpt tell the reader about Charlie?
He is relieved that the doctors understand him.
He takes pleasure in mocking others.
He is concerned about how he appears to others.
He is worried about losing his intelligence.Step-by-step explanation:
About 15 type of dinner
C + S = 6
14.8C + 17 S = $91
=> 14.8C + 17 ( 6 - C ) = 91
Can you solve from here?
Hope I can help you:)
Answer:
yes
Step-by-step explanation:
took the same quiz got it right