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Schach [20]
3 years ago
11

Cheese pizzas cost $7 and pepperoni pizzas cost $9. You order a total of 40 pizzas and the bill is $310. How many of each pizza

did you order
Mathematics
1 answer:
Anon25 [30]3 years ago
8 0

Answer: cheese pizzas = 25 , Pepperoni pizzas = 15

Step-by-step explanation:

Let x = Number of cheese pizzas, y =  Number of pepperoni pizzas.

As per given,

x+y=40\ \ \ (i)\\\\ 7x+9y=310\ \ \ (ii)

Multiply 7 on both sides of (i), we get

7x+7y=280\ \ \ (iii)

Eliminate (iii) from (ii), we get

2y= 30\\\\\Rightarrow\ y=15

Put value of y in (i) ,  x+15=40\Rightarrow\ x= 40-15= 25

Hence, cheese pizzas = 25 , Pepperoni pizzas = 15

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Cell phone Plan A costs $70 per month and comes with a free $500 phone. Cell phone Plan B costs
Agata [3.3K]

Answer:

25 Months

Step-by-step explanation:

Let's make the equations first,

Plan A: 70x   Plan B: 50x+500...

Now we make it into an equivalent equation:

70x=50x+500...

Then we solve:

70x=50x+500-50x -50x20x=500...

÷20 ÷20x=25...

To check if it's correct, we just plug it in:

70(25)=50(25)+500...

1750=1750...

Brainliest Answer please? Hope this helps! Good luck!

8 0
3 years ago
Please answer with explanation, I don't understand.<br><br> <img src="https://tex.z-dn.net/?f=%5Csqrt%7Bx%5E2-14x%2B49%7D%20%3Dx
Crank

Answer: x ≥ 7

Step-by-step explanation:

You have to square both sides of the equation. You can manipulate an equation or function any way imaginable as long as it is done equally and helps the problem become easier. If we square this, the radical will cancel and we will get two trinomials equal to each other.

x^2-14x+49=(x-7)^2\\x^2-14x+49=x^2-14x+49

We can see the two expressions are exactly equal to each other. All real numbers are solutions, besides a few. These few are when the radical is equal to a negative number. So lets set up an inequality stating that the radical must be greater than or equal to 0.

x^2-14x+49\geq 0\\(x-7)^2 \geq 0\\x \geq 7

6 0
2 years ago
Let f(x)=e^x and G(x)=x+6. What are the domain and range of g(f(x))?
Lena [83]

Answer:

Domain and Range of g(f(x)) are 'All real numbers' and {y | y>6 } respectively

Step-by-step explanation:

We have the functions, f(x) = eˣ and g(x) = x+6

So, their composition will be g(f(x)).

Then, g(f(x)) = g(eˣ) = eˣ+6

Thus, g(f(x)) = eˣ+6.

Since the domain and range of f(x) = eˣ are all real numbers and positive real numbers respectively.

Moreover, the function g(f(x)) = eˣ+6 is the function f(x) translated up by 6 units.

Hence, the domain and range of g(f(x)) are 'All real numbers' and {y | y>6 } respectively.

3 0
2 years ago
= 2 - 4
jekas [21]

Answer:

Please find attached the required inverse of a function chart

Step-by-step explanation:

The inverse of a function is found by reversing the operations of the  function

The inverse of the function f(x) = 2·x - 4 is found as follows;

x = 2·x - 4

x + 4 = 2·x

x = (x + 4)/2 = x/2 + 2

Therefore, the inverse of the function f(x) = 2·x - 4 is f(x) = x/2 + 2

The inverse function is plotted by generating data points as follows;

{}x         {}          f(x)

0                2

1                  2.5

2                 3

3                  3.5

4                   4

5                   4.5

6                   5

7                   5.5

8                   6

9                   6.5

10                  7

11 {}                   7.5

12{}                    8

13                 8.5

14                  9

15                  9.5

16               10

5 0
3 years ago
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