Answer:
38
Step-by-step explanation:
hope it helps u
wait need more answer?
sure just give Brainliest and follow me
to i get ur question and answer it fast
i can good luck<3
Answer:
x = no. of quarters
3x = no. of dimes
3x + 11 = no. of nickels
2(3x + 11) = no. of pennies
340 quarters
1020 dimes
1031 nickels
2062 pennies
Step-by-step explanation:
x = no. of quarters
3x = no. of dimes
3x + 11 = no. of nickels
2(3x + 11) = no. of pennies
x + 3x + 3x + 11 + 2(3x + 11) = 4453
x + 3x + 3x + 11 + 6x + 22 = 4453
13x + 33 = 4453
13x = 4420
x = 340 quarters
3x = 1020 dimes
3x + 11 = 1031 nickels
2(3x + 11) = 2062 pennies
Check: 340 + 1020 + 1031 + 2062 = 4453
u = 9 i - 6 j
v = -3 i - 2j
w = 19 i + 15 j
u • v = (9 i - 6 j) • (-3 i - 2j)
Distribute the dot products:
u • v = 9*(-3) (i • i) + 9*(-2) (i • j) + (-6)*(-3) (j • i) + (-6)*(-2) (j • j)
i and j are orthogonal unit vectors, so their dot products are 0, while i • i = j • j = 1. So we have
u • v = 9*(-3) + (-6)*(-2) = -27 + 12 = -15
In other words, the dot product can be computed by simply multiplying corresponding components, and taking the total.
u • w = 9*19 + (-6)*15 = 81
Answer:
64
Step-by-step explanation: