1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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)/∆

You might be interested in
15 times 18 + 12 divided by 3 +9
inessss [21]

Answer:

283 is the answer

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Can someone please help me on this one!!!!
VashaNatasha [74]
This appears to be about rules of exponents as much as anything. The applicable "definitions, identities, and properties" are
  i^0 = 1 . . . . . as is true for any non-zero value to the zero power
  i^1 = i . . . . . . as is true for any value to the first power
  i^2 = -1 . . . . . from the definition of i
  i^3 = -i . . . . . = (i^2)·(i^1) = -1·i = -i
  i^n = i^(n mod 4) . . . . . where "n mod 4" is the remainder after division by 4


1. = -3^4·i^(3·2+0+2·4) = -81·i^14 = 81

2. = i^((3-5)·2+0 = i^-4 = 1

3. = -2^2·i^(4+2+2+(-1+1+5)·3+0) = -4·i^23 = 4i

4. = i^(3+(2+3+4+0+2+5)·2) = i^35 = -i

5 0
3 years ago
HELP!! 4. (01.02 MC)<br> Which number line shows the solution to -3- (-1)? (1 point)<br> o
statuscvo [17]

Answer:

<em>The third choice gives the correct sequence.</em>

Step-by-step explanation:

<u>The Number Line</u>

To represent numbers in the line, we use arrows starting from the mark for zero up to the given number. If the number is positive, the arrow points to the right and if the number is negative, the arrow points to the left.

The number -3 must be represented as an arrow to the left side of length 3. Subtracting something from the number should also point to the left side, but if the number is negative, then the new arrow points to the right side.

To subtract -1, the arrow should point to the right starting from -3

The third choice gives the correct sequence.

6 0
3 years ago
A cylinder has a base radius of 5 inches and a height of 6 inches. What is its volume in cubic inches, to the nearest tenths pla
yuradex [85]

Answer:

V≈471.24

or to the nearest tenth is

471.2

7 0
2 years ago
Read 2 more answers
Please solve thank you​
Irina-Kira [14]

Answer: probably A

Step-by-step explanation:

7 0
2 years ago
Other questions:
  • Solve the equation. 3/4x+3-2x = -1/4+1/2x+5​
    13·1 answer
  • It is given thag 2(3+x) = 6+2x. this is an example of the ____ property.​
    15·1 answer
  • Would 3×1/8 be 3/8 is this right can somebody help me with this plz
    14·2 answers
  • Derek has a bird that weighs 3 pounds. Use the double line diagram below to help you determine approximately how many kilograms
    12·2 answers
  • If the diameter of a circle is 12cm, what is the circumference of the circle?
    5·1 answer
  • Can someone help me please
    6·1 answer
  • Alex has locked himself out of his house! Thankfully, there is an upstairs window open, but he needs to use a ladder to try to g
    14·2 answers
  • Calculate the quotient below and give your answer in scientific notation.<br> 2.64*10^-3\8.0*10^0
    7·1 answer
  • Ryan keeps his loose change in a milk jug. The jug contains 25 pennies, 15 nickels, 15 dimes, and 5 quarters. If Ryan shakes out
    7·1 answer
  • Translate this expression:<br> 8 less than y
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!