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hammer [34]
4 years ago
9

3. A local pizza restaurant has two options for birthday parties; the Premium Plan and the

Mathematics
1 answer:
Nitella [24]4 years ago
4 0

Answer:

Most likely C .

Step-by-step explanation:

The premium plan charges 20 dollars per cake. (+ 20) and $5 per child (5x) for pizza.

The premium plan would represent: 5x + 20

The basic plan would charge $6  per child for pizza.

This would be: 6x

In a equation when the cost of the premium plan is the same as the basic plan, 20 + 5x = 6x would be the best for modeling.  

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Which is a solution of the equation y=4x+3
Evgesh-ka [11]
If you plug in the respective numbers (x,y) you'll get the answer choice C. 19=4(4)+3 : 19=19
3 0
4 years ago
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You are saving money to buy a pair of pants that costs $53. You have saved $32. How much more money do you need to save?
Papessa [141]

Answer:

you need to save $21

4 0
2 years ago
A trailer will be used to transport several 40-pound crates to a store. The greatest amount of weight that can be loaded into th
docker41 [41]

Given :

A trailer will be used to transport several 40-pound crates to a store.

The greatest amount of weight that can be loaded into the trailer is 1,050 pounds.

An 82-pound crate has already been loaded onto the trailer.

To Find :

The greatest number of 40-pound crates that can be loaded onto the trailer.

Solution :

Weight left = 1050 - 80 = 970 pound.

Let, number of 40 pounds crates that can be loaded are x.

x  = \dfrac{970}{40}\\\\x = 24.25

Since, crate cannot be in fraction, so maximum crate that can be loaded is 24.

Hence, this is the required solution.

7 0
3 years ago
A 500 g model train car traveling at 0.8 m/s collides with a 300 g stationary car. The cars hook up and move off down the track
sdas [7]

Answer:

0.5ms^{-1}

Step-by-step explanation:

Let v be the speed after the collision of both the cars.

Now, momentum is given by: mass × velocity, then by equating the total momentum before and after the collision of the two cars, we get

500{\times}0.8+300{\times}0=(500+300)v

⇒400+0=800v

⇒400=800v

⇒v=0.5ms^{-1}

Thus, they are moving at the velocity of 0.5ms^{-1}

3 0
3 years ago
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Edwin and Anthony are building a rectangular deck in their backyard.The Longer side is 2 more than 1/3 the perimeter. The shorte
vlada-n [284]

Answer: The perimeter is 30ft.

Step-by-step explanation:

Let's define:

L = length of the longer side.

S = length of the shorter side.

P = perimeter

we know that for a common rectangle:

P = 2*S + 2*L

We aso know that:

L = 2ft + (1/3)*P

S = (1/10)*P

L = S + 9ft.

So we have a system, let's find the perimeter only using this system (So i will ignore the equation for the perimeter of a rectangle)

First, we can replace the third equation in the first equation, now we have a system with only two equations:

S + 9ft = 2ft + (1/3)*P

S = P/10

Now we can replace the second equation in the first equation, and get:

P/10 + 9ft = 2ft + P/3

Now let's solve this for P.

9ft - 2 ft = P/3 - P/10

7ft = P( 1/3 - 1/10) = P*( 10/30 - 3/30) = P*(7/30)

(30/7)*7ft = P = 30ft.

The perimeter is 30ft.

5 0
3 years ago
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