I slept the correct operator for the following exponential expression*

a pizza place charges $15 for a pepperoni pizza and $12 for a cheese pizza. the goal is to sell $540 in pizza for the day. The s

Ede4ka [16]

The pizza place should sell 45 cheese pizza in order to reach daily goal.

Step-by-step explanation:

Let, x=pepperoni pizzas and y= cheese pizzas.

And 15x+12y=540

If pizza place runs out of pepperoni pizza, then x=0 we need to find how many cheese pizza (y) must be sold to achieve the goal.

Putting x=0 and finding y,

$15x+12y=540\\15(0)+12y=540\\12y=540\\y=\frac{540}{12} \\y=45$

So, The pizza place should sell 45 cheese pizza in order to reach daily goal.

Keywords: Word Problems

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6 0

3 years ago

Factor: 128 + 2d^3 <br><br> cubes lol

BARSIC [14]

The factorization if the given expression 128 + 2d³ is 2(64 + d³).

<h3>Factorization</h3>

128 + 2d³

There are two parameters in the expression;

128
2d³

The common factors between 128 and 2d³ is 2

So,

128 + 2d³

= 2(64 + d³)

Learn more about factorization:

brainly.com/question/25829061

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4 0

2 years ago

1. What is the value of the expression 3^-4?. a) -81. b) -12. c) -1/81. d) 1/81. 2. What is the value of the expression 1/4^3?.

hjlf

Answer:

1.

Option d is correct

2.

Option c is correct

3.

Option a is correct

4.

Option d is correct

5.

Option c is correct

Explanation:

Using exponent rule:

$a^{-n} = \frac{1}{a^n}$

1.

Given the expression:

$3^{-4}$

Apply the exponent rules:

$\frac{1}{3^4} = \frac{1}{81}$

Therefore, the value of the given expression is, $\frac{1}{81}$ .

2.

To find the value of the expression $\frac{1}{4^3}$

then;

$\frac{1}{4^3} = \frac{1}{64}$

Therefore, the value of the given expression is, $\frac{1}{64}$ .

3.

Find the the value of the expression $\frac{2}{4^3}$

then;

$\frac{2}{4^3} = \frac{2}{64}$

Simplify:

$\frac{1}{32}$

Therefore, the value of the given expression is, $\frac{1}{32}$ .

4.

Given the expression:

$K^{-3} = \frac{1}{27}$

we can write this as:

$K^{-3} = \frac{1}{3^3}$

Apply the exponent rules:

$K^{-3} = 3^{-3}$

On comparing both sides we have;

K = 3

Therefore, the value of K is, 3

5.

Given the expression:

$3^N= \frac{1}{81}$

we can write this as:

$3^N= \frac{1}{3^4}$

Apply the exponent rules:

$3^N = 3^{-4}$

On comparing both sides we have;

N = 4

Therefore, the value of N is, -4

3 0

4 years ago

Read 2 more answers

11. The completion of a chemical reaction is expressed by the equation y = 300 - 4x - XP, where y is

alina1380 [7]

Answer:

The reaction ca occur at 10 degree Celsius or -14 degree Celsius.

Step-by-step explanation:

We are given the following in the question:

The completion of a chemical reaction is expressed by the equation

$y = 300 - 4x -x^2$

where y is the number of seconds needed to complete the reaction and x is the temperature in degrees Celsius at which the reaction occurs.

We have to find the temperature at which the reaction occurs, if the completion time of reaction is 160 seconds.

Putting y = 160

$160 = 300 - 4x -x^2\\x^2 + 4x - 140 = 0\\x^2 + 14x -10x -140 = 0\\x(x+14)-10(x+14)=0\\(x-10)(x+14) = 0\\(x-10) =0, (x+14) =0\\x = 10, x = -14$

Thus, the reaction ca occur at 10 degree Celsius or -14 degree Celsius.

5 0

3 years ago

Paula completely covered a square wall using 87.5 ft2 of wallpaper without any overlap. Which measurement is closest to the side

Semmy [17]

The answer is B) 44ft

8 0

3 years ago

I slept the correct operator for the following exponential expression*​

I slept the correct operator for the following exponential expression*