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vfiekz [6]
4 years ago
14

Two large topping pizzas cost $25.00. what is the constant of proportionality (k)?

Mathematics
1 answer:
Gemiola [76]4 years ago
5 0
2k = 25

Divide 2 on each side

k = 12.5

Each pizza would cost $12.50

Hope this helps!

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Solve for x. 60° 8x-4
erma4kov [3.2K]

I can't do anything with this equation.


5 0
4 years ago
Read 2 more answers
Is integer x<−20 ? x2+40x+391=0 x2=529 Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer
sukhopar [10]

Answer:

Both statements (1) and (2) TOGETHER are sufficient to answer the question asked; but NEITHER statement ALONE is sufficient.

Step-by-step explanation:

Solving the equation of statement (1) with the quadratic formula:

x_{1,2}=\frac{-b\pm\sqrt{b^2-4ac}}{2a}

x^2+40x+391=0\\x_{1,2}=\frac{-40\pm\sqrt{40^2-4(1)(391)}}{2(1)}\\x_{1,2}=\frac{-40\pm\sqrt{1600-1564}}{2}\\x_{1,2}=\frac{-40\pm\sqrt{36}}{2}\\x_{1}=\frac{-40+6}{2}=\frac{-34}{2}=-17\\x_{1}=\frac{-40-6}{2}=\frac{-46}{2}=-23\\

In this equation, one of the values of x is bigger than -20 but the other is smaller, this statement doesn't give enough information to answer the question.

Solving the quadratic equation of the statement (2):

x^2=529\\x_{1,2}=\pm\sqrt{529} \\x_1=\sqrt{529}=23\\x_2=-\sqrt{529}=-23

Again, one of the values of x is bigger than -20 and the other is smaller than -20. But if the information of this statement is considered along with the other x must be equal to -23, that is the value that appears as an answer in both equations, and with this information is possible to answer the question.

7 0
3 years ago
What is 0.329 in expanded form?
andrey2020 [161]
3/10 + 2/100 + 9/1000

5 0
3 years ago
Suppose that the mean time that visitors stay at a museum is 94.2 minutes with a standard deviation of 15.5 minutes. The standar
Maurinko [17]

Answer:

94.2 -0.994*3.1 = 91.1186

94.2 +0.994*3.1 = 97.2814

And the 68% confidence interval is given by (91.1186, 97.2814)

Step-by-step explanation:

For this case we know that mean time that visitors stay at a museum is given by:

\bar X = 94.2

The standard deviation is given by:

s= 15.5

And the standard error is given by:

SE = \frac{s}{\sqrt{n}} =3.1

And we want to interval captures 68% of the means for random samples of 25 scores and for this case the critical value can be founded like this using the normal standard distribution or excel:

z_{\alpha/2}= \pm 0.994

We can find the interval like this:

\bar X \pm ME

And replacing we got:

94.2 -0.994*3.1 = 91.1186

94.2 +0.994*3.1 = 97.2814

And the 68% confidence interval is given by (91.1186, 97.2814)

7 0
3 years ago
Use point-slope form to write the equation of a line that passes through the point (-1, -7) with slope 3 4 - -​
Readme [11.4K]

Answer:

y = 3/4x - 6 1/4

Step-by-step explanation:

I hope that the slope 3 4 - - means 3/4

Slope = 3/4

Using slope = 3/4 and the point (-1, -7) substitute into y = mx + b and solve for "b"

y = mx + b

-7 = 3/4(-1) + b

-7 = -3/4 + b

-7 + 3/4 = b             3/4 as a decimal = .75

-7 + .75 = b

-6.25 = b

The equation of the line is y = 3/4x - 6.25  or y = 3/4x - 6 1/4

8 0
3 years ago
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