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2 years ago

6

You order two tacos and a salad. The salad costs $3.00, and you leave a $2 tip. You pay a total of $8.00. How much does each tac

o cost?

1 answer:

Schach [20]2 years ago

5 0

Each taco will cost you $1.50.

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The decimal 0.3(repeating) represents 1/3. what type of number best describes 0.9(repeating), which is 3 times 0.9(repeating)? e

jekas [21]

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4 0

3 years ago

Read 2 more answers

Pre-Calculus - Systems of Equations with 3 Variables please show work/steps

inessss [21]

Answer:

x = 10 , y = -7 , z = 1

Step-by-step explanation:

Solve the following system:

{x - 3 z = 7 | (equation 1)

2 x + y - 2 z = 11 | (equation 2)

-x - 2 y + 9 z = 13 | (equation 3)

Swap equation 1 with equation 2:

{2 x + y - 2 z = 11 | (equation 1)

x + 0 y - 3 z = 7 | (equation 2)

-x - 2 y + 9 z = 13 | (equation 3)

Subtract 1/2 × (equation 1) from equation 2:

{2 x + y - 2 z = 11 | (equation 1)

0 x - y/2 - 2 z = 3/2 | (equation 2)

-x - 2 y + 9 z = 13 | (equation 3)

Multiply equation 2 by 2:

{2 x + y - 2 z = 11 | (equation 1)

0 x - y - 4 z = 3 | (equation 2)

-x - 2 y + 9 z = 13 | (equation 3)

Add 1/2 × (equation 1) to equation 3:

{2 x + y - 2 z = 11 | (equation 1)

0 x - y - 4 z = 3 | (equation 2)

0 x - (3 y)/2 + 8 z = 37/2 | (equation 3)

Multiply equation 3 by 2:

{2 x + y - 2 z = 11 | (equation 1)

0 x - y - 4 z = 3 | (equation 2)

0 x - 3 y + 16 z = 37 | (equation 3)

Swap equation 2 with equation 3:

{2 x + y - 2 z = 11 | (equation 1)

0 x - 3 y + 16 z = 37 | (equation 2)

0 x - y - 4 z = 3 | (equation 3)

Subtract 1/3 × (equation 2) from equation 3:

{2 x + y - 2 z = 11 | (equation 1)

0 x - 3 y + 16 z = 37 | (equation 2)

0 x+0 y - (28 z)/3 = (-28)/3 | (equation 3)

Multiply equation 3 by -3/28:

{2 x + y - 2 z = 11 | (equation 1)

0 x - 3 y + 16 z = 37 | (equation 2)

0 x+0 y+z = 1 | (equation 3)

Subtract 16 × (equation 3) from equation 2:

{2 x + y - 2 z = 11 | (equation 1)

0 x - 3 y+0 z = 21 | (equation 2)

0 x+0 y+z = 1 | (equation 3)

Divide equation 2 by -3:

{2 x + y - 2 z = 11 | (equation 1)

0 x+y+0 z = -7 | (equation 2)

0 x+0 y+z = 1 | (equation 3)

Subtract equation 2 from equation 1:

{2 x + 0 y - 2 z = 18 | (equation 1)

0 x+y+0 z = -7 | (equation 2)

0 x+0 y+z = 1 | (equation 3)

Add 2 × (equation 3) to equation 1:

{2 x+0 y+0 z = 20 | (equation 1)

0 x+y+0 z = -7 | (equation 2)

0 x+0 y+z = 1 | (equation 3)

Divide equation 1 by 2:

{x+0 y+0 z = 10 | (equation 1)

0 x+y+0 z = -7 | (equation 2)

0 x+0 y+z = 1 | (equation 3)

Collect results:

Answer: {x = 10 , y = -7 , z = 1

3 0

3 years ago

Give the equation of the line, perpendicular to the line with equation y=2x+1, that passes

katrin [286]

Answer:

y=-1/2x+2

Explanation:

8 0

3 years ago

Write an expression in simplest form for the perimeter of each figure.

Vlad [161]

Answer: $P=5y+11x$

Step-by-step explanation:

To solve this problem you must apply the proccedure shown below:

- By definition, the perimeter of the figure is the sum of the lenght of each side. Then, you must make the addition as following:

$P=2.8y+2x+2.2y+5x+4x$

Where $P$ is the perimeter of the figure.

- Add the like terms, then, you obtain the following expression in simplest form:

$P=5y+11x$

8 0

4 years ago

An isosceles trapezoid has a perimeter of 37 centimeters. Its shorter base measures 3 centimeters and its longer base measures 4

koban [17]

<u>Given:</u>

An isosceles trapezoid has a perimeter of 37 centimeters. Its shorter base measures 3 centimeters and its longer base measures 4 centimeters. The two remaining sides have the same length.

We need to determine the lengths.

<u>Length of the remaining sides:</u>

Let the length of the sides of the isosceles trapezoid be x.

Let a be the length of the shorter base.

Let b be the length of the longer base.

Thus, we have;

$a=3, b=4$

The formula to determine the length of the sides is given by

$Perimeter = a+b+c+d$

Substituting the values, we get;

$37=3+4+x+x$

$37=7+2x$

$30=2x$

$15=x$

Thus, the length of the sides of the isosceles trapezoid is 15 centimeters.

6 0

3 years ago