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Igoryamba
3 years ago
13

Marisol sells wedding cakes. She charges a flat fee of $245 to make the wedding cake, plus an additional $120 per tier of cake.

What linear equation can be used to graph the price (y) of one of Marisol's wedding cakes?
Mathematics
1 answer:
leva [86]3 years ago
8 0

Answer:

120x + 245 = y

x = number of additional tiers

(edited to be in the proper order)

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(x + 40)<br> (3x)<br> What is value of x
EastWind [94]

Answer:

Step-by-step explanation:

multiply both sides  by 3x

3[x+40]x[x+40]

3x +120+x(square)+40x

43x+120+x(square)

quadractic equation

x(square)+43x+120

(x+40x+)(3x+120)

x(1+40)3(1+40)

x:3 or 40

7 0
3 years ago
Consider the force field and circle defined below.
grin007 [14]

By Green's theorem,

\displaystyle\int_{x^2+y^2=9}\vec F(x,y)\cdot\mathrm d\vec r=\iint_D\left(\frac{\partial(xy)}{\partial x}-\frac{\partial(x^2)}{\partial y}\right)\,\mathrm dx\,\mathrm dy=\iint_Dy\,\mathrm dx\,\mathrm dy

where C is the circle x^2+y^2=9 and D is the interior of C, or the disk x^2+y^2\le1.

Convert to polar coordinates, taking

\begin{cases}x=r\cos\theta\\y=r\sin\theta\end{cases}\implies\mathrm dx\,\mathrm dy=r\,\mathrm dr\,\mathrm d\theta

Then the work done by \vec F on the particle is

\displaystyle\iint_Dy\,\mathrm dx\,\mathrm dy=\int_0^{2\pi}\int_0^3(r\sin\theta)r\,\mathrm dr\,\mathrm d\theta=\left(\int_0^{2\pi}\sin\theta\,\mathrm d\theta\right)\left(\int_0^3r^2\,\mathrm dr\right)=\boxed0

4 0
3 years ago
Choose the different ways that a graph can be misleading.
Goryan [66]

Answer:

i. The y -axis starts at zero but has different intervals.

ii. Different bar widths are used on the same graph.

iii. The y -axis doesn't start at zero.

Step-by-step explanation:

A graph is a plot showing accurate representation and presentation of correlation among variables of a given data. It is a tool that can be used to summarize all information about a given data for easy understanding and deductions.

A misleading graph is one that has an inappropriate representation of data, thus a wrong conclusion would be deduced or obtained from this type of graph. Misleading graph is majorly due to inconsistency, and errors in plot (axis or scale used).

3 0
3 years ago
Read 2 more answers
The sum of 3 consecutive even integers is 50 more than the smallest one. Find the integers.
Yuliya22 [10]
Let's imagine the integers are a, b, and c. Since we know the sum of these numbers is 50 more than the smallest (which is a), our equation would look like this:

a + b + c = a + 50

We need a common variable, though, which we don't have right now. Since we know that these are 3 consecutive <em>even </em>integers, we know that:

b = a +2, which means that the second number is 2 more than the first number.
Using that same logic, we know that c = b +2 and since we know what b equals, we can sub that into this:

c = b + 2
c = (a + 2) + 2
c = a +4

So now instead of having this:

a + b + c = a + 50 

We have this:

a + (a + 2) + (a + 4) = a + 50
3a + 6 = a + 50

Subtract a + 6 from both sides:

3a + 6 - (a + 6) = a + 50 - (a + 6)
2a = 44

Divide both sides by 2

2a/2 = 44/2
a = 22

The smallest integer is 22 which means the set would be:
22, 24, and 26


4 0
3 years ago
Find the product of (-94) and 47.
Natasha2012 [34]

Answer:

I think it's -4418

7 0
3 years ago
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