Answer:
i have made it in above picture
hope it helps
Answer:
The slope = 2
Step-by-step explanation:
Slope is rise over run.
The line rises 2 units up for every 1 unit it moves right.
Thus, the slope would be 2/1, which is the same as 2.
Let P = number of coins of pennies (1 penny = 1 cent)
Let N = number of coins of nickels (1 nickel = 5 cents)
Let D = number of coins of dimes (1 dime = 10 cents)
Let Q = number of coins of quarters (1 quarter = 25 cents)
a) P + N + D + Q = 284 coins, but P = 173 coins, then:
173 + N + D + Q =284 coins
(1) N + D + Q = 111 coins
b) D = N + 5 OR D - N =5 coins
(2) D - N = 5 coins
c) Let's find the VALUE in CENTS of (1) that is N + D + Q = 111 coins
5N + 10D + 25 Q = 2,278 - 173 (1 PENNY)
(3) 5N + 10D + 25Q = 2105 cents
Now we have 3 equation with 3 variables:
(1) N + D + Q = 111 coins
(2) D - N = 5 coins
(3) 5N + 10D + 25Q = 2105 cents
Solving it gives:
17 coins N ( x 5 = 85 cents)
22 coins D ( x 10 = 220 cents)
72 coins D ( x 25 = 1,800 cents)
and 173 P,
proof:
that makes a total of 85+2201800+172 =2,278 c or $22.78
Answer:
The percentage of the students scored higher than 89% is 15.87%
Step-by-step explanation:
we are given
The average test scores for a particular test in algebra was 84
so, mean is 84
a standard deviation of 5
so,
we have
x=89
now, we can use z-score formula
now, we can plug values
now, we can use calculator
and we get
So,
The percentage of the students scored higher than 89% is 15.87%
<span>The answer is: 2. 11
Crowbar is a Class A lever
Therefore the mechanical advantage of the crowbar can be given by either:
MA = Output distance/Input distance
OR
MA = Output force/Input force
Since, the question gives only the force, we can use the second formula.
MA = Output force/ Input Force
= 330 N / 30 N
= 11</span>
