54 nickels and 27 dimes
1 dime = 10 cents = $0.1
1 nickel = 5 cents = $0.05
setting up 2 equations
let n = amount of nickels and d = amount of dimes, then
n + d = 81 → (1)
0.05n + 0.1d = 5.4 → (2)
multiply (2 ) by 10
0.5n + d = 54 → (3)
subtract (3) from (1) to eliminate d
0.5n = 27 ( divide both sides by 0.5 )
n = = 54
substitute n = 54 in (1)
54 + d = 81 ( subtract 54 from both sides )
d = 27
Mary has 54 nickels and 27 dimes
Answer:
for every 2 followers benjamin has, lauren has 5 followers
Step-by-step explanation:
find the common factor for their followers (11), then divide them by that:
22/11=2
55/11=5
The amount of change Lucy receives if she paid with few $20 bills is $12.84
<h3>How to find amount of change to receive</h3>
- Cost of each pair of pants = $21.79
- Number of pairs of pants = 4
Total cost of pants = $21.79 × 4
= $87.16
- Amount paid to the cashier = few $20 bills
If the total cost of the pants exceeds $80, then she paid with 5 $20 bills
5 $20 bills = $100
Her change = $100 - $87.16
= $12.84
Learn more about cost:
brainly.com/question/2021001
9.
<2 and <6 are right angles by the definition of perpendicular lines.
Since corresponding angles are congruent, m || n.
11.
In a triangle, the measures of the three angles add to 180 degrees.
If one angle is a right angle, then that angle measures 90 degrees. The other two angle measures plus 90 degrees add to 180 degrees, so the other two angle measures add to 90 degrees. In a right triangle there is a right angle and two other angles that are complementary.
Now look at your problem.
One angle is a right angle.
The other two angles are complementary, so their measures add to 90 deg.
8x + 2 + 9x + 3 = 90
17x + 5 = 90
17x = 85
x = 5