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sergij07 [2.7K]
3 years ago
11

.Shanice and Micaela are selling cheesecakes for a school fundraiser. Customers can buy pecan

Mathematics
1 answer:
belka [17]3 years ago
8 0

Answer:

Pecan cheesecake = $11

Strawberry cheesecake= $19

Step-by-step explanation:

To solve this, we will need to set up a system of equations:

Let's call "Pecan cheesecakes" 'x', and

"Strawberry cheesecakes" 'y'.

We can set up the equations once we have our variables:

276= 13x + 7y

295 = 13x +8y

We will need to subtract these equations from each other to get rid of the 'x' variable. This gives us:

295 = 13x+ 8y

        -

276 = 13x+ 7y

19 = y

Therefore, Strawberry cheesecakes cost $19. Plug this into an equation to get the value of 'x':

276= 13x + 7(19)

276 = 13x + 133

143 = 13x

x= $11.

Therefore, Pecan cheesecakes cost $11.

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Answer:

Reduced equaton is 5x-3y+\frac{28}{3}=0.

Step-by-step explanation:

Given parametric equation is,

x=3t-5 and y=5t+1

Now, x=3t-5\implies t=\frac{x+5}{3} substitute in second equation we get,

y=\frac{5}{3}(x+5)+1

y=\frac{5}{3}x+\frac{28}{9}

\implies 5x-3y+\frac{28}{3}=0

which is the corresponding rectangular equation after eliinating the parameter.

Now consider,

y=\frac{5}{3}x+\frac{28}{9}

Of which,

Slope : \frac{5}{3}

when,

x=0, y=\frac{28}{9}=3.1

x=1, y=\frac{43}{9}=4.8; x=-1, y=\frac{13}{9}=1.4

x=2, y=\frac{58}{9}=6.4;  x=-2, y=\frac{-2}{9}=-0.2

x=3, y=\frac{73}{9}=8.1; x=-3, y=\frac{-17}{9}=-1.8

x=4, y=\frac{88}{9}=9.8; x=-4, y=\frac{-32}{9}=-3.6

x=5, y=\frac{103}{9}=11.4; x=-5, y=\frac{-47}{9}=-5.2

ans so on. Thus sketching th curve will look like given,

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3 years ago
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WARRIOR [948]
The correct answer is x=5

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kupik [55]

Answer:

When i took it i chose C and was right. I'm not sure if we use the same school but it was my answer. Hope it helps.

Step-by-step explanation:

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Katena32 [7]

Hey there!!

Equation Given : x + 3x - 36

In order to solve this, we will need to combine the like terms.

What are like terms?

Like terms are terms which have the same variable, in the equation given, the variable mentioned is x and hence, the like terms are x and 3x.

Now, we will need to combine x and 3x.

Let's take x as 1x and 3x as 3x.

Now, we will need to add both these like terms.

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