Answer:
78 nickels and 22 dimes
Step-by-step explanation:
Nickels = n, Dimes = d
<u>Number of coins = 100</u>
<u>Total sum in the piggy bank = $6.60 </u>
<u>Consider the first equation in the second:</u>
- 5(100 -d) + 10d = 660
- 500 - 5d + 10d = 660
- 5d = 110
- d = 110/5
- d = 22
- n = 100 - 22
- n = 78
<u>Answer:</u> nickels 78 and dimes 22
Answer:
0.444... (or 44.44...%)
Step-by-step explanation:
The experimental probability is the probability of an event actually happening. The experimental probability of a man having a beard here is 44.444...% (8/18).
Answer:
Total pints of cream will they need for the pasta = 7 pints
Step-by-step explanation:
Given - Pasta Place needs to make pasta with garlic cream sauce for 80 guests at a party. One batch of pasta calls for 3 cups of cream and feeds 10 people. The restaurant already has 5 pints of cream in the fridge.
To find - How many more pints of cream will they need for the pasta?
Solution -
10 people = 3 cups of cream
⇒80 people = 8×3 = 24 cups of cream
Now,
We know that,
1 cup = 0.5 pints
⇒24 cup = 24×0.5 = 12 pints.
Now,
Given that, The restaurant already has 5 pints of cream in the fridge.
So,
Total pints more needed = 12 - 5 = 7 pints.
∴ we get
Total pints of cream will they need for the pasta = 7 pints
Answer:
Given : ∠ABC is a right angle, ∠D BC is a straight angle.
To prove :∠AB D is a right angle.
Proof: ∠ ABC = 90°[ Given]
∠ D BC= 180° [ D BC is a straight line]
now, ∠ AB D and ∠ AB C are adjacent angles forming linear pair.
∠ AB D +∠ AB C =180° [By linear pair axiom]
⇒∠ AB D + 90= 180°
⇒∠ AB D=180°-90°
⇒∠ AB D=90°
∠AB D is a right angle
Hence proved.
