The total number of nickels we have is 15.
Given we have 27 coins, made up of nickels, dimes and quarters.
there total value is $3.30
we have 3 times as many quarters as dimes.
total nickels = ?
let, x = number of dimes
3x = number of quarters
y = number of nickels
then, x ₊ 3x ₊ y = 27
therefore, 4x ₊ y = 27 .. eq(1)
total value of coins in cents = 330
10(x) ₊ 25(3x) ₊ 5(y) = 330
10x ₊ 75x ₊ 5y = 330
85x ₊ 5y = 330
17x ₊ y = 66 ..eq(2)
Subtracting (1) from (2):
13x=39
x=3
So the number of dimes is x=3; the number of quarters is 3x=9; and since the total number of coins is 27, the number of nickels is 15.
hence the total number of nickels is 15.
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W can be represented in the following equation: 14/tan 38°=w
Since tan 38 equals 0.78128563, we divide 14 by 0.78128563 which gives a value of 17.91
W= 17.91
W+X (which is the whole lenght) can be represented in the equation: w+x=14/tan 19°
So
17.9+X=14/0.34432761
we isolate for x and obtain
X= 40.65-17.9
X=22.75 (which we round to 22.8)
So the answer is option 4:
w = 17.9; x = 22.8
Answer:
X = (J+M)/K
Step-by-step explanation:
Undo what has been done to the variable, in reverse order. The variable has been multiplied by K and M subtracted from the result. So, we first add M (to undo the subtraction), then we divide by K (to undo the multiplication).
KX = J +M . . . . . . M added to the given equation
X = (J + M)/K . . . . the result of that is then divided by K
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Since these are all capital letters, we might assume they represent vectors and/or matrices. If so, the "divide by K" step needs to be "multiply on the left by K^-1, the matrix inverse of K."
Then your solution looks like
X = K⁻¹·(J + M)