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3 years ago

Maria ate 1/3 of a pie . Her sister ate 1/5 of that . What fraction of the whole pie did her sister eat

Mathematics

2 answers:

masha68 [24]3 years ago

7 0

1/3+1/5
1•5/3•5+1•3/5•3
5/15+3/15
=8/15

STatiana [176]3 years ago

4 0

Answer:

1/15

Step-by-step explanation:

1/5 of 1/3 is 1/5 x 1/3 which is 1/15

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The profit y (in dollars) for a business from selling x coats is represented by y=56x . Graph the equation.

Agata [3.3K]

Answer:

The graph of the equation is also attached.

From the graph, it is clear that at x = 0, the value of y = 0

Hence, the line passes through the origin with the y-intercept 0.

Step-by-step explanation:

The slope-intercept form of the line equation

$y = mx+b$

where

m is the slope

b is the y-intercept

Given that the profit y (in dollars) for a business from selling x coats is represented by the equation

$y=56x$

comparing with the slope-intercept form of the line equation

m = 56

Determining the y-intercept

We know that the value of the y-intercept can be determined by setting x = 0 and determining the corresponding value of y.

substitute x = 0 in the equation

y = 56(0)

y = 0

Thus, the y-intercept b = 1

Thus,

The equation y = 5x has:

The slope m = 56

The y-intercept b = 1

The graph of the equation is also attached.

From the graph, it is clear that at x = 0, the value of y = 0

Hence, the line passes through the origin with the y-intercept 0.

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3 years ago

The midpoint of a line segment is the point halfway between its endpoints. True or False?

horrorfan [7]

This is true. You can remember by it saying mid, as in middle.

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3 years ago

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If the first step of solving a system of equations by subsistution is to solve one equations for one of the variables, how do ch

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Choose two equations and use them to eliminate one variable.Choose another pair of equations and use them to eliminate the same variable.Use the resulting pair of equations from steps 1 and 2 to eliminate one of the two remaining variables.

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3 years ago

For the following demand equation compute the elasticity of demand and determine whether the demand is elastic, unitary, or inel

adelina 88 [10]

Answer:

Demand is inelastic at p = 9 and therefore revenue will increase with

an increase in price.

Step-by-step explanation:

Given a demand function that gives q in terms of p, the elasticity of demand is

$E=|\frac{p}{q}\cdot \frac{dq}{dp} |$

If E < 1, we say demand is inelastic. In this case, raising prices increases revenue.
If E > 1, we say demand is elastic. In this case, raising prices decreases revenue.
If E = 1, we say demand is unitary.

We have the following demand equation $D(p)=-\frac{3}{4}p+29$ ; p = 9

Applying the above definition of elasticity of demand we get:

$E(p)=\frac{p}{q}\cdot \frac{dq}{dp}$

where

p = 9
q = $-\frac{3}{4}p+29$
$\frac{dq}{dp}=\frac{d}{dp}(-\frac{3}{4}p+29)$

$\frac{d}{dp}\left(-\frac{3}{4}p+29\right)=-\frac{d}{dp}\left(\frac{3}{4}p\right)+\frac{d}{dp}\left(29\right)\\\\\frac{d}{dp}\left(-\frac{3}{4}p+29\right)=-\frac{3}{4}$