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
fredd [130]
1 year ago
13

Write a system of equations to describe the situation below, solve using an augmented matrix, and fill in the blanks.This mornin

g, Mike processed two catering orders at the sandwich shop where he works. The first order was for 1 tray of club sandwiches, at a cost of $9. The second order, which cost $69, was for 5 trays of club sandwiches and 4 trays of vegetarian sandwiches. How much do the trays cost?A tray of club sandwiches costs $? and a tray of vegetarian sandwiches costs $?
Mathematics
1 answer:
Georgia [21]1 year ago
8 0

Answer:

\begin{gathered} \text{ A tray of club sandwiches cost \$9} \\ A\text{ tray of vegetarian sandwiches cost \$6.} \end{gathered}

Step-by-step explanation:

Given the information, create the following augmented matrix:

The first order was for 1 tray of club sandwiches, at a cost of $9. The second-order, which cost $69, was for 5 trays of club sandwiches and 4 trays of vegetarian sandwiches.

\begin{gathered} 5x+4y=69 \\ x=9 \end{gathered}

Into an augmented matrix:

\begin{bmatrix}{5} & {4} \\ {\placeholder{⬚}} & {1}\end{bmatrix}\begin{bmatrix}{69} & {} \\ {9} & {}\end{bmatrix}

Solve.

Let x be the cost of a tray of club sandwiches.

Let y be the cost of a tray of vegetarian sandwiches.

\begin{gathered} x=9 \\ Substitute\text{ on the first equation} \\ 5(9)+4y=69 \\ 4y=69-45 \\ y=\frac{24}{4} \\ y=6 \end{gathered}

You might be interested in
Find the value of the missing coefficient in the factored form of 27f^3 + 125g^3. 27f^3+125g^3=(3f+5g)(9f^2-?fg + 25g)^2
7nadin3 [17]

Answer:

15

Step-by-step explanation:

The formula for factoring a sum of cubes is:

a^3+b^3=(a+b)(a^2-ab+b^2)

We have a=3f and b=5g here.

So a*b in this case is 3f*5g=15fg.

The ? is 15.

6 0
3 years ago
How do I solve this?
andreev551 [17]

Answer:

x is in the range [-1,4]

Step-by-step explanation:

I haven't worked with absolute value inequalities in awhile, but let's take a wack at this.

We are given the following inequality:

| 2x - 3 | <= 5

This implies two possible cases:

[1] -5 <= 2x -3

Or

[2] 2x - 3 <= 5

So let's solve x for both of these cases:

[1] -5 <= 2x - 3

 -2 <= 2x

 -1  <= x

[2]  2x - 3 <= 5

 2x <= 8

  x <= 4

So from these cases, we can say the following is true:

x >= -1  and x <= 4

Thus, we can write this in the form

-1 <= x <= 4

Or in interval notation:

{ x is element of reals | -1 <= x <= 4}

Also written as

x is in the range [-1,4]

Where the closed brackets represent 1 and 4 as possible answers whereas parenthesis would imply they were not.

Cheers.

4 0
3 years ago
in a coordinate plane the midpoint of AB is (4,-3) and A has coordinate (1,5). if B has coordinate (x,y) find the value x+y​
Aloiza [94]

Answer:

Please check the explanation.

Step-by-step explanation:

The midpoint (a, b) of line joining points (x₁, y₁) and (x₂, y₂)

a = x₁ + x₂ / 2

b = y₁ + y₂ / 2

Given that the midpoint of AB is (4, -3).

i.e. (a, b) = (4, -3)

Given that A has coordinate (1, 5).

i.e. (x₁, y₁) = (1, 5)

We have to determine the coordinates of B.

i.e. (x₂, y₂) = B

Thus,

4 = (1 + x₂)/2

(1 + x₂) = 4 × 2

1 + x₂ = 8

x₂ = 7

and

-3 = (5 + y₂)/2

(5 + y₂) = -3 × 2

5 + y₂ = -6

y₂ = -11

so (x₂, y₂) = (7, -3) = B

Thus, the coordinates of B = (x₂, y₂)  = (7, -3)

Therefore,

x₂ + y₂ = 7 + (-3)

          = 7 - 3

          = 4

Hence, the value of x₂ + y₂ = 4

4 0
3 years ago
(3x + 1/2 ) + ( 7x - 4 1/2 ) simply the expression
ololo11 [35]

(3x + 1/2 ) + ( 7x - 4 1/2 )

3x+7x + 1/2 - 4 1/2

10x -4

5 0
3 years ago
In questions 1a-1d, choose yes or no to tell if the number 1/2 will make each equation true.
Tresset [83]

Answer:

Step-by-step explanation:

1a = yes

1b = no, you don’t add the denominators together when adding.

1c = yes

1d = yes

4 0
3 years ago
Other questions:
  • Prove tan3A= (cos(2A)-cos(4A))/ (sin(4A)- Sin(2A)) ...?
    13·1 answer
  • What's 5 + 5 × 10 - 88 + 200 - 1​
    9·2 answers
  • Is 5/12 or 8/10 larger?
    6·1 answer
  • You are taking a​ multiple-choice test that has 8 questions. Each of the questions has 4 answer​ choices, with one correct answe
    10·1 answer
  • Whats the answer to c/3+3=5
    11·2 answers
  • What is an expression that is four times as large as 52 minus 9.
    11·2 answers
  • FREE BRAINLIEST!! ill also answer questions that you have posted if you answer these 2 questions correctly!! ((Answer both quest
    9·2 answers
  • Solve the multi-step word problems. Identify any hidden questions. (1.) The teacher collected $15 from 6 students last week for
    12·2 answers
  • Ignore everything I wrote but I’m supposed to be writing two-column proofs and I need help with these
    12·1 answer
  • One can convert temperature from kelvin into fahrenheit using the formula . what is the temperature in kelvin corresponding to f
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!