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guapka [62]
2 years ago
11

A woman bought some large frames for $19 each and some small frames for $9 each at a closeout sale. If she bought 18 frames for

$222, find how many of each type she bought.
Mathematics
1 answer:
MAXImum [283]2 years ago
8 0

Answer: 6 large frames and 12 small frames

Step-by-step explanation:

We define the following:

x = number of large frames

y =  number of small frames

Make the following equations:

x + y = 18

19x + 9y = 222

Use system of equations to solve. We find the value of x first.

y = 18 - x

⇒ 19x + 9(18 - x) = 222

⇒ 19x + 162 - 9x = 222

⇒ 10x + 162 = 222

⇒ 10x = 60

⇒ x = 6

Find value of y:

6 + y = 18

y = 12

∴ 6 large frames and 12 small frames were purchased.

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Lisa sold $75 worth of play tickets.Adult tickets cost $4 each and children’s ticket cost $4 each.How many children’s tickets co
Helga [31]
Yes, there are many possible answers. An equation that can model your situation is:
4a+4b=75, with a being the amount of adult tickets sold, and b being the amount of children’s tickets sold.
Because both tickets cost 4 dollars, you would multiply the amount of tickets sold, by the price (in dollars) of the ticket.
So, you can find possible answers by substituting the amount of adult tickets sold. Say, 4 adults bought tickets. You could then substitute a for 4. So the equation would look like this.
4(4)+4b=75
16 + 4b = 75
4b = 75 - 16
4b = 59
Divide each side by four
B = 14.75

The reason you got a decimal number is because 75 cannot be divided by 4 evenly. So, in this context, you could say that 15 children bought tickets. One child had an issue, and Lisa gave them a 25% discount. This would explain why there are only 75 dollars worth in tickets. I hope I helped, this is my first question I have ever answered so I’m not entirely sure if this was helpful or not. Hope you figure this out!
3 0
3 years ago
The measure of the inscribed angle is equal to ___ the measure of its intercepted arc.
slamgirl [31]

Answer:

the measure of the inscribed angle is equal to the measure of its intercepted arc.

5 0
3 years ago
Read 2 more answers
Shaq painted 600 portraits in 8 hours at that rate how many portraits would he paint in 4 minutes?
Deffense [45]

Answer: In 4 minutes he will make 5 portraits

Step-by-step explanation:

\large \boldsymbol{} 600p-8h=480 min  \\\\ x \ p-4  min   \\\\ x=\dfrac{600\cdot 4}{480} =\dfrac{2400}{480} =5  \ portraits \\\\ \rm Answer : 5

3 0
3 years ago
4. Identify the graph of the solution set of 9 > 3 + 2x.
Ray Of Light [21]

Answer:

A

Step-by-step explanation:

9 > 3 + 2x

6 > 2x

3 > x

or

x < 3

and that means 3 is NOT included (otherwise there must be a smaller or equal sign). hence A is the right answer.

7 0
3 years ago
I need help I got this wrong
wlad13 [49]
<h2>Solution : </h2>

y = -2|x +1|

→ |x + 1| = -y/2

→ x+1 = y/2

and

x + 1 = -y/2

→ x + 1 belongs to R

→ x belongs to R

Domain = R

Range = y = -2(R)

→( -∞ , 0)

3 0
3 years ago
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