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lys-0071 [83]
4 years ago
7

(HELP ASAP PLEASE)

Mathematics
2 answers:
umka2103 [35]4 years ago
8 0

So first, set up an equation for each shop, for the first one you can write 4x+28 (since it is 4 dollars for each cupcake and 28 dollars for the cake) and for the second shop you can write 55+x ( 55 dollars for cake and a dollar for each cupcake.) now you can set the 2 equations equal to each other because they want the number for cupcakes where the price will be equal. So 4x+28=55+x and then solve. I don’t want to completely tell you the answer but if you are stuck, you can tell me and I will gladly help.

umka21 [38]4 years ago
5 0

Answer:

9 cupcakes and 64$

Step-by-step explanation:

try the math

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<h2><u>The solution set to inequality is:</u></h2>

\boxed{-1.5\left(4x+1\right)>4.5-2.5\left(x+1\right)\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x

<em><u>Solution:</u></em>

<em><u>Given inequality is:</u></em>

-1.5(4x + 1) > 4.5 -2.5(x + 1)

We have to find the solution set to inequality

From given,

-1.5(4x + 1) > 4.5 -2.5(x + 1)\\\\\mathrm{Multiply\:both\:sides\:by\:}10\\\\-1.5\left(4x+1\right)\cdot \:10>4.5\cdot \:10-2.5\left(x+1\right)\cdot \:10\\\\-15\left(4x+1\right)>45-25\left(x+1\right)

Expand

-60x -15 > 45 -25x - 25\\\\Simplify\\\\-60x-15>-25x +20

\mathrm{Add\:}15\mathrm{\:to\:both\:sides}\\\\-60x-15+15>-25x+20+15\\\\Simplify\\\\-60x>-25x+35\\\\\mathrm{Add\:}25x\mathrm{\:to\:both\:sides}\\\\-60x+25x>-25x+35+25x\\\\Simplify\\\\-35x>35\\\\\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}\\\\\left(-35x\right)\left(-1\right)

<em><u>Thus the solution set is:</u></em>

-1.5\left(4x+1\right)>4.5-2.5\left(x+1\right)\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x

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