On the Back!5. Manny has 85 cents in nickels and dimes. He has 10 coins altogether.
The equations at right relate the number of nickels, x, and the
number of dimes, y. Graph each equation. How many nickels and
how many dimes does Manny have?
R 5-2
Copyright by Savvas Learning Company

Answers

Answer 1

Answer: Manny has 5X+10Y=85
7 dimes and 3 nickels

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Eric bought lunch for him and his friends at Papa's Pizza. His bill was $50 with tax. If he used a 15% off coupon and then left a 20% tip based on the discounted ticket, how much did he have left out of $100 bill?

Answers

Answer:

$49

Step-by-step explanation:

We have been given that Eric bought lunch for him and his friends at Papa's Pizza. His bill was $50 with tax. If he used a 15% off coupon and then left a 20% tip based on the discounted ticket.

First of all, we will find amount of bill after 15% discount by finding 85% of $50 as:

$\text{Bill after 15 percent discount}=\$50* (85)/(100)$

$\text{Bill after 15 percent discount}=\$50* 0.85$

$\text{Bill after 15 percent discount}=\$42.5$

Amount paid in tip would be 20% of $42.5, so total amount paid after 20% tip would be 42.5 plus 20% of $42.5.

$\text{Total amount of bill after tip}=\$42.5+\$42.5* (20)/(100)$

$\text{Total amount of bill after tip}=\$42.5+\$8.5$

$\text{Total amount of bill after tip}=\$51$

Now, we will subtract $51 from $100 to find amount of change that is $\$100-\$51=\$49$

Therefore, Eric will get $49 in change.

Answer:

Step-by-step explanation:

50*0.85 (15% off) = 42.5, 42.5*1.20 (20% tip) = 51, 100-51 = 49

Represent the following sentence as an algebraic expression, where "a number" is the letter x. The product of 8 and a number.

Answers

Answer:

x times 8 I'm pretty sure

The distributive property states that the product of a term and a sum is equal to

Answers

Answer:

Sum of products

Step-by-step explanation:

This is saying a(b + c), and this equals ab + ac so it is a sum of products.

Suppose that the 100 people in society C all know the same 10 facts, while the 10 people in society D specialize, with each person knowing 5 unique facts as well as 5 facts also known by the other 9 members of the society. If the standard of living is roughly equivalent to the average number of social facts known per person, how many times better is the standard of living in society D

Answers

Answer:

29 times

Step-by-step explanation:

Given :

Society C ;

Population = 100

Number of facts known = 10

Average fact known per person = known fact / population = 10 / 100 = 0.1

Society D:

Population = 19

Common fact = 5

Specialized fact = 5 * 10 = 50

Total facts = 55

Average fact known per person = 55 / 19 = 2.8947368 fact per person

Number of times society D is better :

2.8947368 / 0.1 = 28.947 times

Approximately 29 times

Percy solved the equation x2 + 7x + 12 = 12. His work is shown below. Is Percy correct? Explain.

Answers

Percy is not correct because he applied the zero product property to a factored expression that was not equal to 0. He should have subtracted 12 from both sides to get x2 + 7x = 0 before factoring. The correct solutions are 0 and -7

What does Percy's work look like?

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