Answer:
11 cents
Step-by-step explanation:
1 penny = 1 cent
1 nickel = 5 cents
2×1 nickel = 10 cents
1 penny + two nickels
= 1 cent + 10 cents
= 11 cents
I don’t see any multiple choice but d3 -343 is factored as (d-7)(d^2+7d+49)
Answer:
a>4 or a < 8
Step-by-step explanation:
We can start with the inequality on the left
-a + 2(4+3a) > 28
expand using the distributive property
-a + 8 + 6a > 28
5a + 8 > 28
subtract 8 from both sides to isolate the variable and its coefficient
5a > 20
divide both sides by 5 to isolate a
a > 4
moving on to the inequality on the right
2a - (3a+4) > -12
treat the minus sign as a -1
2a + (-1)(3a+4) > - 12
expand
2a - 3a - 4 > - 12
-a - 4 > -12
add 4 to both sides to isolate a and its coefficient
-a > - 8
multiply both sides by -1 but change the sign because we are multiplying by a negative number
a < 8
Answer:
Step-by-step explanation:
I have 30 coins, all nickels, dimes, and quarters, worth $4.60. There are two more dimes than quarters. How many of each kind of coin do I have.
..
let quarters be x
dimes = x+2
...
dimes + quarters = x+x+2=2x+2
...
nickels = 30-(2x+2)
...
5(30-(2x+2))+10(x+2)+25x=460
5(30-2x-2)+10x+20+25x=460
150-10x-10+10x+20+25x=460
160+25x=460
-160
25x=460-160
25x=300
/25
x=300/25
x=12 ---- quarters
x+2= 12+2=14 dimes
30-(2x+2)=4 nickels
...
check
4*5+14*10+12*25=20+140+300=460
Answer: $2000 + 0.08s ≥ $2500
Step-by-step explanation:
The expression that will be used to calculate the earnings of Liz will be:
= b + (c × s)
Where:
b = base salary = $2,000
c = commission rate = 8% = 8/100 = 0.08
s = the sales that the commission rate will be applied against.
The inequality to find amounts of sales that will meet Liz goal will be:
= b + (c × s)
= $2000 + (0.08 × s) ≥ $2500
= $2000 + 0.08s ≥ $2500
