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IgorLugansk [536]

2 years ago

12

A concession stand sold pizza slices, ice cream cones, and tacos at a basketball game. Pizza slices were sold for $2.75, ice cre

am cones were sold for $2.25, and tacos were sold for $1.75. The total number of pizza slices, ice cream cones, and tacos sold was 121, and the total amount of money from these items was $260.75. If $87.50 was made just from selling tacos, how many ice cream cones were sold?

1 answer:

slega [8]2 years ago

8 0

The answer would be 13

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Write the linear equation in slope intercept form 1,3 and -3,-5

oksian1 [2.3K]

For this case we have that by definition, the equation of the line of the slope-intersection form is given by:

$y = mx + b$

Where:

m: It's the slope

b: It is the cut-off point with the y axis

We have two points through which the line passes:

$(x_ {1}, y_ {1}) :( 1,3)\\(x_ {2}, y_ {2}): (- 3, -5)$

We found the slope:

$m = \frac{y_ {2} -y_ {1}} {x_ {2} -x_ {1}}$

Substituting we have:

$m = \frac {-5-3} {- 3-1} = \frac {-8} {- 4} = 2$

Thus, the equation is of the form:

$y = 2x + b$

We substitute one of the points and find the cut-off point:

$3 = 2 (1) + b\\3 = 2 + b\\3-2 = b\\b = 1$

Finally, the equation is:

$y = 2x + 1$

ANswer:

$y = 2x + 1$

3 0

3 years ago

4a + 3b - 2a - 6b<br> .. help lol

ycow [4]

Answer:

2a-3b

Step-by-step explanation:

6 0

2 years ago

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The volume of a cylinder is 4,000pi in.³ .The

miskamm [114]

Answer:

The answer to your question is r = 4 in

Step-by-step explanation:

Data

Volume = 4000 π in³

height = 250 in

radius = ?

Process

1.- Look the formula to calculate the volume of a cylinder

Volume = πr²h

2.- Solve for r²

r² = Volume / πh

3.- Substitution

r² = 4000π / π(250)

4.- Simplification

r² = 16

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5.- Result

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8 0

2 years ago

A. Use composition to prove whether or not the functions are inverses of each other. B. Express the domain of the compositions u

Kryger [21]

Given: $f(x) = \frac{1}{x-2}$

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A.)Consider

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$f(\frac{2x+1}{x} )=\frac{1}{(\frac{2x+1}{x})-2}$

$f(\frac{2x+1}{x} )=\frac{1}{\frac{2x+1-2x}{x}}$

$f(\frac{2x+1}{x} )=\frac{x}{1}$

$f(\frac{2x+1}{x} )=1$

Also,

$g(f(x))= g(\frac{1}{x-2} )$

$g(\frac{1}{x-2} )= \frac{2(\frac{1}{x-2}) +1 }{\frac{1}{x-2}}$

$g(\frac{1}{x-2} )= \frac{\frac{2+x-2}{x-2} }{\frac{1}{x-2}}$

$g(\frac{1}{x-2} )= \frac{x }{1}$

$g(\frac{1}{x-2} )= x$

Since, $f(g(x))=g(f(x))=x$

Therefore, both functions are inverses of each other.

B.

For the Composition function $f(g(x)) = f(\frac{2x+1}{x} )=x$

Since, the function $f(g(x))$ is not defined for $x=0$ .

Therefore, the domain is $(-\infty,0)\cup(0,\infty)$

For the Composition function $g(f(x)) =g(\frac{1}{x-2} )=x$

Since, the function $g(f(x))$ is not defined for $x=2$ .

Therefore, the domain is $(-\infty,2)\cup(2,\infty)$

8 0

3 years ago

If invisible braces cost $500 more than metal braces. Metal braces cost $4,800. How much do invisible braces cost?

Gnesinka [82]

Invisible braces would cost 5300. I think that’s it. Hope that helped

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2 years ago

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