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Ivenika [448]
3 years ago
8

Four cookies and three cupcakes code $13.25. Five cookies and two cupcakes cost $11.75. Give the system of equations that could

be used to find the cost of one cookie and the cost of one cupcake. Solve the system.

Mathematics
1 answer:
Kaylis [27]3 years ago
7 0

Answer:

  • cookie: $1.25
  • cupcake: $2.75

Step-by-step explanation:

Let x and y represent the cost of a cookie and a cupcake, respectively.

  4x +3y = 13.25

  5x +2y = 11.75 . . . . . . the system of equations

___

By Cramer's rule:

  x = (3(11.75) -2(13.25))/(3(5) -2(4)) = 8.75/7 = 1.25

  y = (13.25(5) -11.75(4))/7 = 19.25/7 = 2.75

The cost of one cookie is $1.25; the cost of one cupcake is $2.75.

_____

Cramer's rule gives the solution to the system of equations ...

  ax +by =c

  dx +ey = f

as ...

  ∆ = bd -ea

  x = (bf -ec)/∆

  y = (cd -fa)/∆

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Answer:

Angle A = 48

Step-by-step explanation:

The steps are in this order

1. (3y+22) + (4y) = 106

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3. 7y = 84

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Then check the answer

5. 4(12) =

6. 48

7. 3(12) + 22

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3 years ago
Square root 2 is between 1.4 and 1.5
Gala2k [10]
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3 years ago
We draw a random sample of size 25 from a normal population with variance 2.4. If the sample mean is 12.5, what is a 99% confide
Helen [10]

Answer:

<h2>11.2≤\mu12.8 </h2>

Step-by-step explanation:

Confidence interval for the population mean is expressed by the formula;

CI = xbar ± Z(S/√n) where;

xbar is the sample mean = 12.5

Z is the z score at 99% confidence = 2.576

S is the standard deviation = √variance

S = √2.4 = 1.5492

n is the sample size = 25

Substituting the given values into the formula given above,

CI = 12.5 ± 2.576(1.5492/√25)

CI = 12.5 ± 2.576(0.30984)

CI = 12.5 ± 0.7981

CI = (12.5-0.7981, 12.5+0.7981)

CI = (11.2019, 12.7981)

Hence the 99% confidence interval for the population mean is 11.2≤\mu12.8 (to 1 decimal place)

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3 years ago
A computer store decides to increase the prices of all the items it sells by 15%. the store manager uses matrices to prepare the
Andrews [41]

The matrix exists as a set of numbers placed in rows and columns to create a rectangular array. The manager could achieve scalar multiplication on Matrix A, utilizing the scalar 1.15.

<h3>What is the matrix?</h3>

The matrix exists as a set of numbers placed in rows and columns to create a rectangular array. The numbers exist named the elements, or entries, of the matrix. Matrices contain wide applications in engineering, physics, economics, and statistics as well as in different branches of mathematics.

Increasing the price by 15% would mean we exist taking 100% of the value + another 15%

100 + 15 = 115%

115% = 115/100 = 1.15.

Multiplying every value in Matrix A by 1.15 will give the price raised by 15%.

Therefore, the correct answer is option c. by multiplying each entry of matrix a by 1.15.

To learn more about matrix refer to:

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7 0
2 years ago
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Sever21 [200]

Answer:

Step-by-step explanation:

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Reflection across the x axis changes the y value.

This is counterintuitive, but it is correct.

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Do you see what happened. All the values for x become - values because you are moving an equal distance in the -x direction

4 0
3 years ago
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