Use the matrix tool to solve the system of equations. Choose the correct ordered pair. 4x-7y=-12 and -2+6y=11 plz help!!​

This question bus incomplete because it lacks the appropriate options.

Complete Question

The total cost of a new calculator is

$81.05. This price includes a 10% student discount. Followed by a 6.5% sales tax. What was the original price of the calculator, not including the tax or the discount?

A. $77.69

B. $83.99

C. $78.80

D. $84.56

Answer:

D. $84.56

Step-by-step explanation:

From the question, we are given the following values

Total cost of a new calculator = $81.05

Student discount = 10%

Sales tax = 6.5%

The formula to use is

Total price = Original price ( 1 ± r)

Where r = rate of the discount or sales tax

Step 1

Find the original price of the calculator without the discount

Because we are calculating using discount we are using the minus sign

Total price = $81.05

r = 10% = 0.1

Total price = Original price ( 1 - r)

$81.05 = Original price (1 - 0.1)

$81.05 = Original Price × 0.9

Original price = $81.05÷ 0.9

= $90.055555556

Approximately, the original price without the 10% discount is $90.06

Step 2

Find the Original price without the sales tax

Because we are calculating using sales tax we are using the plus sign

Total price = $90.06

This is because the Original price without the discount = Current total price with sales tax for step 2

r = 6.5% = 0.065

Total price = Original price ( 1 + r)

$90.06 = Original price (1 + 0.065)

$90.06 = Original Price × 1.065

Original price = $90.06÷ 1.065

= $84.563380282

Approximately, the original price without the 10% discount and 6.5% sales tax is $84.56

Answer:

O y = -3

Step-by-step explanation:

The line is horizontal.

x = -3 and x = 3 are vertical lines, so they are incorrect.

The line passes through (3, -3).

                                         (x ,  y)

Put y as -3.

y = 3

(-3) = 3

Line y = 3 is incorrect.

(-3) = -3

Line y = -3 is correct.

Answer:

O y = -3

Step-by-step explanation:

Equations beginning with 'x=' would form a vertical line, not a horizontal line.

The point (3,-3) would satisfy y = -3.

-3 = -3

O y = -3 should be the correct answer.

Answer:

B - 150 yd

Step-by-step explanation:

Obviously the first step is to find the missing measurement. To do this, you use the Pythagorean theorem; a² + b² = c².

In this case, let's label the the missing side A, the height B, and the hypotenuse C.

X² + 15² = 25²

Then you must figure out what 15² and 25².

15² = 225

25² = 625

The next step is to subtract 15² (225) from 25² (625), which will give you the result of X².

625 - 225 = 400.

Now you know X² = 400, you can find the square root of 400 to give you the length of the triangle.

√400 = 20.

The missing length of the triangle is 20 yards.

Now it's just a matter of finding the area by using the formula;

A = [tex]\frac{bh}{2}[/tex]

Or,

(20 × 15) ÷ 2 = 150.

And there's your answer. Don't forget to add the units.

answer

2.5 x-0.6=4.9

Step-by-step explanation:

The height of a window is 0.6 feet less than 2.5 times its width.

If the height of the window is 4.9 feet.

Substitute in [1] we have;

2.5x-0.6 = 4.9

Therefore,  an equation can be used to determine x, the width of the window is, 2.5x-0.6 = 4.9

Answer:

Or B

Step-by-step explanation:

for those you look for letters only

Answer:

See below,

Step-by-step explanation:

Input         Output

B    H       Perimeter (2B + 2H)

3      1             8

5      3           16

14    12          52

I hope this helps.

Answer:

-2n + 6

Step-by-step explanation:

When we simplify the equation, we add like terms. 5n - 7n is 2n and 6 doesn't have anything to add/subtract to, so we have -2n + 6

Answer:

Step-by-step explanation:

Width =w

Length = 2w + 3

Perimeter = 2*(length +width)

                = 2*(2w +3 + w )

                 = 2*(3w + 3)

                = 6w + 6

b) Perimeter = 30 units

6w + 6 = 30    

Subtract 6 form both sides

6w = 30- 6

6w = 24

Divide both sides by 6

6w/6 = 24/6

w = 4

l = 2w + 3

 = 2*4 + 3

 = 8 + 3

 = 11

Length = 11 units

Width = 4 units

Answer:

- x

Step-by-step explanation:

[tex](x + 3)(x - 4) \\ = x(x - 4) + 3(x - 4) \\ = {x}^{2} - 4x + 3x - 12 \\ = {x}^{2} - x - 12 \\ middle \: term \: = - x[/tex]

74+x+85+33= 180 (bc the sum of the angles of a triangle is 180º)

192=180-x

192-180=-x

12=-x

-12=x

Answer:

question 3: 1/3 question 4: 5/7 question 5: 2/3

Answer:

1/3

5/7

2/3

Step-by-step explanation:

The numbers greater than 4 on a fair dice are 5 and 6.

2 numbers out of 6 or 2/6

2/6 = 1/3

Total parts = 7 + 12 + 18 + 5 = 42

12 are orange marbles.

42 - 12 = 30

30 marbles are red, yellow, and purple.

30/42 = 15/21 = 5/7

The numbers greater than 2 on a fair dice are 3, 4, 5, and 6.

4 numbers out of 6 total numbers.

4/6 = 2/3

Answer:

6/7 ÷ 3/14

= 6/7 × 14/3

= 2/7 × 14           (we cancelled 3 with 6)

=  2×2                (we cancelled 7 with 14)

= 4

hope it helps

Step-by-step explanation:

Answer:

[tex]\frac{6}{7} / \frac{3}{14} = \frac{6}{7} x \frac{14}{3} = (6)(14) / (7)(3) =\frac{84}{21} = 4[/tex]

Step-by-step explanation:

Hope this helps you!! ( BTW this means / Divide ).

Answer:

the interest is 5.42

Step-by-step explanation:

Answer:

Interest = 5.42

Step-by-step explanation:

Answer:

1/36

Step-by-step explanation:

If a cube rolls and it landed on one it’s 1/6 if u rolled he same cube and got one too then it’s still 1/6 so now u just multiply them

Hope this helps

Answer:

1/36.

Step-by-step explanation:

Each event of a die being rolled is an independent event, which means that each time you roll the die does not affect the next time you roll it.

The probability of getting a 1 on the first roll is going to be 1/6, since there is only one 1 on the 6-sided die.

The probability of getting a 1 on the second roll is also going to be 1/6, for the same reason.

So, if both rolls are going to be 1s, the probability that will happen is (1/6) times (1/6), which is 1/36.

Hope this helps!

Answer:

A

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer: A.) 2 <= X <= 6

B.) 13 < = X < = 39

Step-by-step explanation:

Given that a factory can work its employees no more than 6 days a week, that is, less than or equal to 6 days a week

And also, no less than 2 days per week. That is, greater than or equal to 2 day a week.

Let X represent the number of days an employee can work per week.

According to the first statement,

X < = 6

According to the second statement,

X >= 2

An inequality to represent the range of days an employee can work will be

2 < = X <= 6

To represent the range in hours, first convert the number of days to hour. Given that an employee can work

1 day = 6.5 hours

2 days = 2 × 6.5 = 13 hours

5 days = 6 × 6.5 = 39 hours

Therefore, the range will be

13 < = X < = 39

Answer:

x> 3       and       x    <5

OR

3 < x <5

Step-by-step explanation:

To solve the compound inequality, we will follow the steps below:

We will first break it into two inequalities.

That is;

5 < 2x - 1<9

5 < 2x - 1     AND         2x - 1<9  

Then we will solve separately

5 < 2x - 1

add 1 to both-side of the equation

5 +1  < 2x - 1 +1

6   < 2x

Divide both-side of the inequality by 2

6 /2  < 2x/2

3 < x

x>3

we will now solve the other inequality

2x - 1<9  

add 1 to  both-side of the equation

2x - 1+1<9 +1

2x <   10

divide both-side of the inequality by 2

2x /2<   10/2

x < 5

Therefore  x> 3       and       x    <5

or

3 < x <5

Answer:

[tex]x = (5 \: . \: 3)[/tex]

Step-by-step explanation:

To solve a compound inequality, seperate it into two inequalities:

[tex]2x - 1 > 5 \\ 2x - 1 < 9[/tex]

Solve the inequality for x:

[tex]x > 3 \\ 2x - 1 < 9[/tex]

Solve the inequality for x:

[tex]x > 3 \\ x < 5[/tex]

Find the intersection:

[tex]x = (5 \: . \: 3)[/tex]

Answer:

x^2 - 10 = (p - 9)(x)

Step-by-step explanation:

Please indicate exponentiation with the symbol " ^ ":  p(x) = x^2 - 1.

To obtain (p - 9), start with p(x) = x^2 - 1 and subtract 9:

(p - 9)(x) = x^2 - 1 - 9 = x^2 - 10 = (p - 9)(x)

Answer:

33.33 %

Step-by-step explanation:

Difference:

=> 27 - 18 = 9

%age Increase:

=> [tex]\frac{9}{27} * 100 %[/tex]

=> 33.33 %

Answer:

33.3 %

Step-by-step explanation:

Hey there! :)

Answer:

a) Blue.

b) 1/2.

Step-by-step explanation:

Find the probabilities for each color:

Blue: 1/8

Yellow: 3/8

Green: 4/8 or 1/2

a) The color that the spinner is the least likely to land on has the smallest probability, which in this instance, is blue.

b) The probability of the spinner landing on green can be determined by:

# of green sections /total

Therefore:

4 / 8

Simplify the fraction:

4 / 8  = 1 / 2.

Answer:

a) Blue

b) 1/2

Step-by-step explanation:

a) The colors on the spinner are blue (B), green (G), and yellow (Y).

(B) = 1/8

(G) = 4/8

(Y) = 3/8

The spinner is least likely to land on the color blue.

b) The probability that the spinner lands on the color green is 4/8. The spinner has 8 equal sections, 4 of the sections are green.

4/8 can be simplified to 1/2.

Answer:

AC = 2.30

Step-by-step explanation:

Given: ΔABC, AC = BC, AB = 3 CD ⊥ AB , CD = [tex]\sqrt{3}[/tex].

Since CD ⊥ AB, thus CD divides AB into two equal parts.

From ΔACD, applying the Pythagoras theorem;

[tex]AC^{2}[/tex] = [tex]AD^{2}[/tex] + [tex]CD^{2}[/tex]

      = [tex]1.5^{2}[/tex] + [tex](\sqrt{3}) ^{2}[/tex]

      = 2.25 + 3

      = 5.25

AC = [tex]\sqrt{5.25}[/tex]

     = 2.2913

∴ AC = 2.30

Answer:

c

Step-by-step explanation:

4x^2(6x^2-3x)

=24x^4-12x^3

Answer: C. 24x⁴ - 12x³

Step-by-step explanation:

The area of a rectangle is length × width.

4x² × (6x²– 3x) to answer this, we multiply 4x² for each term inside the parentheses.

4x² × 6x² = 24x⁴    (4 × 6 = 24 and x² × x² = x⁴)

4x² × -3x = -12x³    (4 × -3 = -12 and x² × x = x³)

So the answer is 24x⁴ - 12x³

Answer:

2 1/4

Step-by-step explanation:

13/4 is 3 1/4 because 13 divided by 4 is 3 with a remainder of 1. So from there you subtract 1 from the whole number 3 and are left with 2 1/4. I hope that makes sense! :)

Answer:

2 1/4

Step-by-step explanation:

13/4 = 3 1/4

1 = 1

3 - 1 = 2 1/4

Answer:

43

Step-by-step explanation:

Answer:

all real numbers less than or equal to 4

which agrees with the first answer option listed

Step-by-step explanation:

The parabola opening down means that its two branches go on towards negative values with no limit. The maximum y-value that this parabola can reach is therefore the y-value of its vertex which is 4, given that the vertex coordinates are (3, 4).

Therefore, the Range of y-values can have any real number that is smaller than or equal to 4

Answer:

  all real numbers less than or equal to 4

Step-by-step explanation:

The leading coefficient is negative, so the vertex is a maximum. The y-value of the vertex (4) is the upper limit of the range.

The range is all real numbers less than or equal to 4. (first choice)

Answer:

A

Step-by-step explanation:

Let width  =w in

Length = 3w - 2 in

Perimeter of rectangle = 36 inches

2* (length + width ) = 36

2*(3w -2 + w) = 36

2* (4w -2 ) = 36

2*4w - 2*2 = 36

8w - 4 = 36

Add 4 to both sides

8w - 4 + 4 = 36 +4

           8w = 40

Divide both sides by 8

8w/8 = 40/8

w = 5

Width = 5 in

Answer:

Car 1 consumes 30 gallons of gas.

Car 2 consumes 20 gallons of gas.

Step-by-step explanation:

£99. semoga membantu maksih

Answer:

The answer is 99 dollars

Step-by-step explanation:

Not showing workout...

Just showing how

1) Multiply 1.1452 * 270

2) Multiply 0.89 * 270

3) Subtract the second step from the first step

Hope this helps....

Answer:

x  ≥ 17,500

Step-by-step explanation:

To solve this problem, we will follow the  steps below:

let x be the cost of the next year's model

Writing the question in a mathematical format yield

$14,000 ≤ 80% of  x

This implies ;

80% of  x   ≥$14,000

80% ×   x  ≥$14,000

[tex]\frac{80X}{100}[/tex]   ≥  $14,000

multiply both-side of the inequality by 100

[tex]\frac{80X}{100}[/tex]  × 100 ≥  $14,000  × 100

at the left hand-side of the inequality 100 will cancel-out 100 leaving us with just 80x

80x  ≥  $1,400,000

Divide both-side of the equation by  80

80x /80 ≥  $1,400,000/80

x  ≥ 17,500