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ivanzaharov [21]
3 years ago
8

The cost of 6 sandwiches and 4 drink is $53. The cost of 4 sandwiches and 6 drinks is $47. How much does one sandwich cost?

Mathematics
1 answer:
Dmitry [639]3 years ago
8 0

Answer:

sandwich = 6.50

Step-by-step explanation:

Let s = sandwich price

d = drink price

6s + 4d = 53

4s + 6d = 47

Multiply the first equation by 3

18s + 12d = 159

Multiply the second equation by -2

-4s - 12d = -94

Add these equations together

18s + 12d = 159

-8s - 12d = -94

--------------------------

10s = 65

Divide by 10

s = 65/10

s =6.5

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In a baseball league consisting of 15 teams, each team plays each of the other teams three times. How many games will be​ played
denis23 [38]

Answer:

  315

Step-by-step explanation:

Each of the 15 teams plays each of the other 14, for a total of 210 games. However, that count includes both A playing B and B playing A. Hence, if the teams meet 3 times, the total number of games will be 3/2 this amount:

  (15)(14)(3/2) = 315 . . . league games

5 0
3 years ago
Find the volume of the cylinder.
Amanda [17]
The first one A) :)))))))
3 0
2 years ago
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Brian's gross earnings for the week of July 8, 2019, are $1227.38. His deductions comprise 23% of his total compensation.
artcher [175]

Question is Incomplete;Complete question is given below;

Brian's gross earnings for the week of July 8, 2019, are $1227.38. His deductions comprise 23% of his total compensation.

What is his net pay?

Enter the answer to the nearest hundredth, such as $1234.56.

Answer:

Brian's Net pay is $945.08.

Step-by-step explanation:

Given:

Gross earnings for the week = $1227.38

Deductions = 23%

We need to find the net pay.

Solution:

First we will find the amount deducted.

amount deducted is equal to Deductions on Gross pay.

framing in equation form we get;

amount deducted = \frac{23}{100}\times 1227.38 = \$282.2974

Now we can say that;

Net pay is equal to Gross earnings minus amount deducted in tax.

framing in equation form we get;

Net pay = 1227.38-282.2974 = \$945.0826

Rounding to nearest hundred  we get;

Net pay = $945.08

Hence Brian's Net pay is $945.08.

6 0
3 years ago
The area of a rectangular piece of cardboard is represented by
Liula [17]

This question is solved applying the formula of the area of the rectangle, and finding it's width. To do this, we solve a quadratic equation, and we get that the cardboard has a width of 1.5 feet.

Area of a rectangle:

The area of rectangle of length l and width w is given by:

A = wl

w(2w + 3) = 9

From this, we get that:

l = 2w + 3, A = 9

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

ax^{2} + bx + c, a\neq0.

This polynomial has roots x_{1}, x_{2} such that ax^{2} + bx + c = a(x - x_{1})*(x - x_{2}), given by the following formulas:

x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}

x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}

\Delta = b^{2} - 4ac

In this question:

w(2w+3) = 9

2w^2 + 3w - 9 = 0

Thus a quadratic equation with a = 2, b = 3, c = -9

Then

\Delta = 3^2 - 4(2)(-9) = 81

w_{1} = \frac{-3 + \sqrt{81}}{2*2} = 1.5

w_{2} = \frac{-3 - \sqrt{81}}{2*2} = -3

Width is a positive measure, thus, the width of the cardboard is of 1.5 feet.

Another similar problem can be found at brainly.com/question/16995958

5 0
2 years ago
Give another name plane L
horrorfan [7]

Answer:

Any one of these three works:

plane MOU

plane MNU

plane NOU

Step-by-step explanation:

A plane can be named by a single letter, such as L in this problem, or by any three non-collinear points that lie on the plane. Non-collinear points are points that do not all lie in a single line.

Points M, N, O, and U lie on plane L, so you can choose any 3 of the 4 points to name the plane with, but make sure all 3 points are non-collinear.

To name plane L with points, you cannot use points MNO together since they are collinear, but you can name it using point U plus any two of the points M, N, and O.

plane L can be named

plane MOU

plane MNU

plane NOU

Do not name it plane MNO

6 0
3 years ago
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