The vertices of an isosceles triangle are A(-4, 0), B(-10, -2) and C(-6, -6).

Mary wants to buy one large pizza, one medium pizza, and three drinks. The drinks cost $p$ dollars each, the medium pizza costs

Korolek [52]

Answer:

$30-8p$

Step-by-step explanation:

Let p represent cost of each drink.

We have been given that the medium pizza costs two times as much as one drink, so the cost of medium pizza would be $2p$ .

We are also told that the large pizza costs three times as much as one drink, so the cost of la pizza would be $3p$ .

We have been given that Mary wants to buy one large pizza, one medium pizza, and three drinks.

Since the cost of one drink is p, so cost of 3 three drinks would be $3p$ .

The total cost of one large pizza, one medium pizza, and three drinks would be $2p+3p+3p=8p$

Mary started with $30, so amount left after all of her purchases would be 30 minus total cost of all purchases.

$30-8p$

Therefore, Mary will have $30-8p$ dollars left after making all of her purchases.

4 0

3 years ago

Here are three stories:

aev [14]

Answer:

1)

a) 6x+3 = 27

b) x=4

c) We know that x is price of each ticket, so The price of each ticket is $4. They bought 6 tickets, so total cost of ticket = 24 and $3 for parking so, total money spent = $27.

2)

a) 3x + 6 = 27

b) x= 7

c) We know that x is amount of juice poured, so 3 friends of Diego will get 7 ounces of Juice, while Diego will get 6 ounces of juice.

3)

a) 27x + 3 = 6

b) x= 1/9

c) We know that x is time spend on each picture, so Jada spend 1/9 hour on each picture

Step-by-step explanation:

1. A family buys 6 tickets to a show. They also pay a $3 parking fee. They spend $27 to see the show.

a) Decide which equation represents each story. What does x represent in each equation?

Let x be price of one ticket.

The equation will be: 6x+3 = 27

b. Find the solution to each equation. Explain or show your reasoning,

Now solving the equation:

6x+3=27

6x=27-3

6x=24

x=24/6

x=4

So, we get x = 4

c. What does each solution tell you about its situation?

We know that x is price of each ticket, so The price of each ticket is $4. They bought 6 tickets, so total cost of ticket = 24 and $3 for parking so, total money spent = $27.

2. Diego has 27 ounces of juice. He pours equal amounts for each of his 3 friends and has 6 ounces left for himself.

a) Decide which equation represents each story. What does x represent in each equation?

Let x be amount of juice poured.

The equation will be: 3x+6 = 27

b. Find the solution to each equation. Explain or show your reasoning,

Now solving the equation:

3x+6=27

3x=27-6

3x=21

x=21/3

x=7

So, we get x = 7

c. What does each solution tell you about its situation?

We know that x is amount of juice poured, so 3 friends of Diego will get 7 ounces of Juice, while Diego will get 6 ounces of juice.

3. Diego has 27 ounces of juice. He pours equal amounts for each of his 3 friends and has 6 ounces left for himself.

a) Jada works for 6 hours preparing for the art fair. She spends 3 hours on a sculpture and then paints 27 picture frames.

Let x be time spend on each picture frame.

The equation will be: 27x+3=6

b. Find the solution to each equation. Explain or show your reasoning,

Now solving the equation:

27x+3=6

27x=6-3

27x=3

x=3/27

x=1/9

So, we get x = 1/9

c. What does each solution tell you about its situation?

We know that x is time spend on each picture, so Jada spend 1/9 hour on each picture

8 0

3 years ago

Read 2 more answers

Steve has at most $80 to spend at a store. He wants to buy a movie that costs $22. He also wants to buy DVDs that cost $7.00 eac

Degger [83]

Answer:

80 is less than or equal to 22+7x

8 DVDs

Step-by-step explanation:

I don't have the inequality signs sorry if you don't know its the symbol thats opening to the left with a line underneath

80 is less than or equal to 22+7x

subtract 22

58 is less than or equal to 7x

divide and flip the sign to the right

x is greater than or equal to 8.29

so he can buy 8 DVDs in total

5 0

3 years ago

Using b=1+r, what does b=

alisha [4.7K]

Answer:

Adding 12 to the circle area is equal to the square area.

Or

s2 = 12 + A

Where

s = side of square

A = area of circle

So

s2 = 12 + 36

s2 = 48

Solve this for s to get the side length

4 0

3 years ago

A number between 10 and 20 is both a foctor of 60 and<br>a multiple of 6.<br>What is the number?

Kisachek [45]

Answer:

12

Step-by-step explanation:

List out factors of 60 =

1 x 60 = 60

2 x 30 = 60

3 x 20 = 60

4 x 15 = 60

5 x 12 = 60

6 x 10 = 60

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30 and 60 are factors of 60.

List out multiples of 6 from 10 to 20.

12 and 18.

Since 12 is seen on one of the factors of 60 and a multiple of 6 between 10 and 20, the answer is 12.

6 0

3 years ago