Answer: Explanation:First, let's call the number of 2 cent coins: tNext, let's call the number of 5 cent coins: fWe can then write to equations from the information in the problem.Equation 1: t+f=40Equation 2: 0.02t+0.05f=1.55Step 1) Solve the first equation for t:t+f=40t+f−f=40−ft+0=40−ft=40−fStep 2) Substitute (40−f) for t in the second equation and solve for f:0.02t+0.05f=1.55 becomes:0.02(40−f)+0.05f=1.55(0.02×40)−(0.02×f)+0.05f=1.550.80−0.02f+0.05f=1.550.80+(−0.02+0.05)f=1.550.80+0.03f=1.550.80−0.80+0.03f=1.55−0.800+0.03f=0.750.03f=0.750.03f0.03=0.750.030.03f0.03=25f=25Step 3) Substitute 25 for f in the solution to the first equation at the end of Step 1 and calculate t:t=40−f becomes:t=40−25t=15The Solution Is:There are:15 two cent coins25 five cent coins
Step-by-step explanation:
Answer:
31.77 yd/sec
Step-by-step explanation:
<u>Conversions:</u>
- 1 mile = 1760 yards
- 1 hour = 3600 seconds
<u>Given:</u>
Therefore, to convert 65 mph to yards per second:
The distributive property combines multiplication with addition and multiplication with subtraction together in order to simplify the equation. It is named as such because the number outside of the open and close parenthesis are distributed to the terms inside. Say for example, the equation given is 5(2x - 3). According to the distributive property, you distribute 5 by multiplying to each of the terms inside the parentheses. The solution would be: 5*2x + 5*-3 = 10x - 15. As you can see, it involved multiplication with addition and subtraction. Generally, you just have to add all the terms while making sure you carry the sign of the integer along when you multiply them just as shown in my example.
Answer:
6x + 4 - 1/100 = 77.5
Step-by-step explanation:
Inc shipping all shirts 77.49
Shirt individual cost = 12.25
We find the division first = 77.49-3.99 = 73.5 = 73 1/2
Then we divide 73.5 / 12.25 = 6
Then we have our equation
6x + 4 - 1/100 = 77.5
Y = mx + b
where m is the gradient (slope)
-4y = 11 - 8x
4y = 8x - 11
y = 2x - 11/4
m = 2
The correct answer is A.
