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3 years ago

One customer pays $25 to have 2 pizzas delivered. Another

Mathematics

1 answer:

Arisa [49]3 years ago

4 0

Answer:

7 pizzas

Step-by-step explanation:

Using the formula for slope (rise/run) we can calculate how much one pizza cost.

$\frac{58-25}{5-2} =\frac{33}{3} = 11$ dollars per pizza.

Take the $11 per pizza and divide it by $80 to get 7.2727 pizzas. Since you can not have .2727 of a pizza you round down to 7 pizzas.

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2 years ago

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Evaluate the expression x - 7. If x= 12.<br> 19<br> 6<br> 17<br> 5

ratelena [41]

Answer:

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Step-by-step explanation:

Given , value of x = 12

To find : Value of the given expression

Given expression = $\sf{x - 7 }$

plug the value of x

$\dashrightarrow{ \sf{ 12 - 7}}$

Subtract 7 from 12

$\dashrightarrow{ \sf{5}}$

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3 years ago

Evelyn drinks 8 glasses of water,which is 56 glasses of water a week.How many glasses of water does she drink in a year?(1 year

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3 years ago

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Factor 125x3 + 343y3

Annette [7]

Answer:

(5x + 7y)(25x² - 35xy + 49y²)

Step-by-step explanation:

125x³ + 343y³ ← is a sum of cubes and factors in general as

a³ + b³ = (a + b)(a² - ab + b² )

125x³ = (5x)³ ⇒ a = 5x

343y³ = (7y)³ ⇒ b = 7y

125x³ + 343y³

= (5x + 7y)((5x)² - (5x × 7y) + (7y)²)

= (5x + 7y)(25x² - 35xy + 49y²) ← in factored form

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2 years ago

Write an exponential model given the points ( 7, 12 ) and ( 8, 25 ). Round to the nearest hundredth.

inna [77]

Answer:

The exponential model is $y = 0.07\cdot e^{0.73\cdot x}$ .

Step-by-step explanation:

The exponential model can be modelled by the following mathematical expression:

$y = A\cdot e^{B\cdot x}$ (1)

Where:

$x$ - Independent variable.

$y$ - Dependent variable.

$A, B$ - Coefficients.

If we know that $(x_{1}, y_{1}) = (7,12)$ and $(x_{2}, y_{2}) = (8,25)$ , then we get the following system of equations:

$A\cdot e^{7\cdot B} = 12$ (2)

$A\cdot e^{8\cdot B} = 25$ (3)

If we divide (3) by (2), we calculate the value of $B$ :

$e^{B}=\frac{25}{12}$

$B = \ln \frac{25}{12}$

$B \approx 0.734$

And by (2), we determine the value of $A$ :

$A = 12\cdot e^{-7\cdot B}$

$A = 0.0704$

The exponential model is $y = 0.07\cdot e^{0.73\cdot x}$ .

4 0

2 years ago