1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
andrezito [222]
2 years ago
8

Kathi and Robert Hawn had a pottery stand at the annual skippack craft fair. They sold some pottery at the original price of $11

.50 each but later decreased the price of each by $4.00. If they sold all $741.00, find how many they sold at the original price and how they sold at the reduced price.
Mathematics
1 answer:
enyata [817]2 years ago
5 0
11.50-3.00=8.50
some of the pieces of pottery were sold at 11.50 and some of the pieces of pottery were sold at 8.50.

let x = number of pieces of pottery sold at 11.50.
let y = number of pieces of pottery sold at 8.50.

since a total of 99 pieces of pottery were sold, and since the total revenue collected was 931.50, you get the following equations.

x + y = 99
11.50 * x + 8.50 * y = 931.50

the first equation says that the total number of pieces of pottery sold was 99.

the second equation says that the total money collected was 931.50, when x were sold at 11.50 and y were sold at 8.50.

these two equations need to be solved simultaneously.

we'll solve by elimination.

multiply both sides of the first equation by 11.50 and leave the second equation as is to get:

11.5 * x + 11.5 * y = 1138.5
11.5 * x + 8.50 * y = 931.5

subtract the second equation from the first to get:

3.00 * y = 207

divide both sides of that equation by 3 to get y = 69.

since x + y = 99, this means that x has to be equal to 30.

your solution is that x = 30 and y = 69.

this means that the number of pieces of pottery sold at 11.50 is 30 and the number of pieces of pottery sold at 8.50 is 69.

30 * 11.50 + 69 * 8.50 is equal to 931.50.

solution looks good.

they sold 30 at the original price and 69 at the reduced price.
You might be interested in
What steps are involved in multiplying and dividing rational expressions?
zysi [14]

Answer:

Q and S do not equal 0.

Step 1: Factor both the numerator and the denominator. ...

Step 2: Write as one fraction. ...

Step 3: Simplify the rational expression. ...

Step 4: Multiply any remaining factors in the numerator and/or denominator. ...

Step-by-step explanation:

~Riley~

Have a Good day!

7 0
3 years ago
Read 2 more answers
(10 points) Joe’s parents bought him a new car for his birthday. They paid $6990 for a car that was originally priced at $7599.
Andru [333]

Answer:

91.99%

Step-by-step explanation:

To find what percentage of $7599 is $6990, we simply need to divide $7599 by $6990 and multiply by 100:

6990 / 7599 * 100 = 91.99%

Therefore, they paid 91.99% of the original price.

5 0
3 years ago
You have 10 marbles in a bag: 3 blue, 2 green, 4 yellow, and 1 purple. If you close your eyes and choose a marble at random, wha
Naily [24]

Answer:

3/10

Step-by-step explanation:there are 10 marbles all together three blue ones

4 0
3 years ago
Read 2 more answers
If x+a is a factor of 2x²+2ax+5x+10,find a.
vazorg [7]

If x+a is a factor of the polynomial, it means that -a is a root of the polynomial.

In fact, if a polynomial p(x) has a root x_0 (i.e. p(x_0)=0), then the polynomial is divisible by (x-x_0)

In your case, you know that the polynomial is divisible by (x+a)=(x-(-a)), so -a is a solution.

Let's evaluate p(-a) and set it to zero:

2(-a)^2+2a(-a)+5(-a)+10 = 0 \iff 2a^2-2a^2-5a+10=0 \iff -5a+10 = 0 \iff a = 2

We can check the answer: if a=2 the polynomial becomes

2x^2+2(2)x+5x+10 = 2x^2+9x+10

And we're claiming that -a=-2 is a root of this polynomial:

2(-2)^2+9(-2)+10 = 2\cdot 4 - 18 + 10 = 0

5 0
3 years ago
There are n employees on The Game Shop's sales team. Last month, they sold a total of 504 games. One of the sales team members,
murzikaleks [220]
The expression you would need to know how many games Chris sold is: 

(504 divided by n) -17

4 0
3 years ago
Other questions:
  • the number of subscriptions to an interior design magazine was 16,450 in 1996. Since then, the number of subscriptions has incre
    12·1 answer
  • A white tailed deer can sprint at speeds up to 30 miles per hour America bison can run at speeds up to 3,520 feet per minute whi
    7·1 answer
  • HELP format is y=mx+b!!!!
    5·2 answers
  • Casie jumped off of a cliff into the ocean while on vacation. Her height as a function of time is modeled by the equation h = −1
    11·2 answers
  • It takes two apples to make an apple pie. If a chef bought nine apples, the last pie
    11·1 answer
  • Which inequality is represented by this graph
    6·1 answer
  • Solve the quadratic by factoring.<br> 4x2 – 13x + 7 = 4
    12·1 answer
  • Which relation is also a function
    6·1 answer
  • Denise Rose the number cube that has sides labeled 1 to 6 and then flips a coin what is the probability that she rolls in odd nu
    5·1 answer
  • 517.8 is what percent of 384?Round to the nearest hundredth.
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!