9514 1404 393
Answer:
- 340 quarters
- 1020 dimes
- 1031 nickels
- 2062 pennies
Step-by-step explanation:
x is the number of quarters
__
a) d = 3x . . . . . . the number of dimes is 3 times the number of quarters
b) n = d + 11 = 3x +11 . . . . there are 11 more nickels than dimes
c) p = 2n = 2(3x +11) = 6x +22 . . . . there are twice as many pennies as nickels
d) The total number of coins is ...
x + d + n + p = 4453
x + (3x) +(3x +11) +(6x +22) = 4453
13x +33 = 4453
13x = 4420
x = 4420/13 = 340 . . . . number of quarters collected
3x = 1020 . . . . . . . . . . . .number of dimes collected
1020 +11 = 1031 . . . . . . . number of nickels collected
2·1031 = 2062 . . . . . . . . number of pennies collected
There were 340 quarters, 1020 dimes, 1031 nickels, and 2062 pennies collected.
_____
<em>Check</em>
340 +1020 +1031 +2062 = 4453 . . . as required
The functions in order from least to greatest according to their average rates of change are function f at the interval [1,2], function h at the interval [0,2] and function g at the interval [2,3]
<h3>How to order the functions?</h3>
The rate of change is calculated using:
For function g at the interval [2,3], we have:
This gives
For function h at the interval [0,2], we have:
Where:
h(2) = 3(3)^2 - 9 = 18
h(0) = 3(3)^0 - 9 = -6
This gives
For function f at the interval [1,2], we have:
This gives
Hence, the functions are function f at the interval [1,2], function h at the interval [0,2] and function g at the interval [2,3]
Read more about average rates of change at:
brainly.com/question/8728504
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ANSWER
C. 2.402
EXPLANATION
Given that:
We want to evaluate:
Use the product rule of logarithms.
The third choice is correct.
3/8 = 1/8 +1/8 + 1/8 ; 3/8 = 1/8 + 2/8 ; 2 1/8 = 1 +1 + 1/8 = 8/8 + 8/8 + 1/8.
Hope this helps!
$6.60 i think, i subtracted the total ($14.40) with the cost of the beads ($7.80) and came to the remaining cost of $6.60 to be spent
