which system of inequalities is shown in the graph?
A)
[tex]y \leqslant 5 \: \: and \: \: y \geqslant 3x - 2[/tex]
B)
[tex]y > 5 \: \: and \: \: y < 2x - 3[/tex]
C)
[tex]y > 5 \: \: and \: \: y \geqslant 2x - 3[/tex]
D)
[tex]y \leqslant 5 \: \: and \: \: y > 3x - 2[/tex]

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Step-by-step explanation:

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Answer:

2 1/7 pieces

Step-by-step explanation:

A factory makes rectangular sheets of cardboard, each with an area 2 1/2 square feet. Each sheet of cardboard can be cut into smaller pieces of cardboard measuring 1 1/6 square feet. How many smaller pieces of cardboard does each sheet of cardboard provide?

Each sheet of cardboard = 2 1/2 square feet

Each smaller pieces of cardboard = 1 1/6 square feet

Number of smaller pieces of cardboard per sheet of cardboard = Each sheet of cardboard ÷

Each smaller pieces of cardboard

= 2 1/2 square feet ÷ 1 1/6 square feet

= 5/2 ÷ 7/6

= 5/2 × 6/7

= (5*6) / (2*7)

= 30/14

= 15/7

= 2 1/7 pieces

Number of smaller pieces of cardboard per sheet of cardboard = 2 1/7 pieces

Answer:

B)

ASA

Step-by-step explanation:

Angle K, Side KN, Angle N

Step-by-step explanation:

Given the expressions

1)

[tex]\sqrt[5]{16} * \sqrt[5]{2} \\= 16^{1/5} * 2^{1/5}\\= 2^{4(1/5)} * 2^{1/5}\\= 2^{4/5} * 2^{1/5}\\= 2^{4/5+1/5}\\= 2 ^{5/5}\\= 2^1\\= 2\\\\[/tex]

2)

[tex]\frac{\sqrt[4]{243}}{\sqrt[4]{3}} \\= \frac{243^{1/4}}{3^{1/4}}\\= \frac{3^{5/4}}{3^{1/4}}\\=3^{5/4-1/4}\\= 3^{4/4}\\= 3[/tex]

3)

[tex](3+\sqrt{2} )(4+\sqrt{7} )\\= 3(4) + 3\sqrt{7} + 4\sqrt{2} + \sqrt{14} \\= 12 + 3\sqrt{7} + 4\sqrt{2} + \sqrt{14} \\[/tex]

Answer:

c = d/a - b

General Formulas and Concepts:

Pre-Algebra

Step-by-step explanation:

Step 1: Define

a(c + b) = d

Step 2: Solve for c

Answer:

The correct options are;

a) Is

b) Passes through the middle of the plotted scatter data points on the graph

b) Is not

e Does not pass through the middle of the plotted scatter data points on the graph

Step-by-step explanation:

Whereby the graph with the line of best fit on the left was drawn by Sylvia and the graph with the line of best fit on the right was drawn by Patrick, we have;

The line of best fit is a line that gives the relationship of the data points within a graph to each other, such that the line of best fit provides an approximation of the data on a graph

The line of best fit is the line that passes through the mid region of all the scatter points within a graph, and closeness of the data points on the scatter plot to the line of best fit, the higher the level of correlation between the line of best fit and the data.

Therefore, we have;

Sylva's line is a line of best fit because her line passes through the middle of the plotted scatter data points on the graph. Patrick's line is not a line of best fit as his line does not pass through the middle of the plotted scatter data points on the graph.

Answer: Sylvia’s line  is  a line of best fit because her line  is close to most of the data points . Patrick’s line  is not  a line of best fit as his line  is not close enough to all the data points .

Answer:

3355

Step-by-step explanation:

55 x 61 = 3355

Answer:

The answer is -8/3.

Step-by-step explanation:

First, you have to make y the subject :

8x + 3y = 9

3y = -8x + 9

y = (-8/3)x + 3

In a linear equation, y = mx + b, m represent gradient (slope). So in this equation the slope is -8/3.

Answer:

I'm need you to retake to picture for me luv, I cant see the numbers

Answer:

36.48$

48x24/100=11.52

48-11.52=36.48

Answer:

d > 6 3/4

Step-by-step explanation:

Given that:

72 hot dogs in 10 minutes is required to break Record ;

Consumption after 1 minute = 11 1/4 hot dogs

Number of hotdogs consumed per minute for the next 9 minutes = d

Number of consumption per minute required to break record :

d = (72 - 11 1/4) / 9

d = (60 3/4) ÷ 9

d = (243 / 4) * 1/9

d = 243 / 36

d = 6 3/4 hotdogs per minute

Hence, to break record. Consumption must be > 72 hotdogs in 10 minutes

Hence,

d > 6 3/4

Answer:

The sign on the end result is +

Step-by-step explanation:

Given

[tex]-4*(-8/9)*2.78*(1\ 1/3)*(-2/5)*(-6.2)*(0.2873)*(3\ 1/11)[/tex]

Required

Determine the sign of the result

To do this, we simply write out the product of the sign of individual digit.

[tex]-4*(-8/9)*2.78*(1\ 1/3)*(-2/5)*(-6.2)*(0.2873)*(3\ 1/11)[/tex] becomes

[tex]- * - * + * + * - * -* + * +[/tex]

Group the product in 2's

[tex](- * -) *( + * +) *( - * -)* (+ * +)[/tex]

As a general rule:

[tex]- * - = +[/tex]

[tex]- * + = -[/tex]

[tex]+ * - = -[/tex]

[tex]+ * + = +[/tex]

Apply this rule on the above;

[tex](- * -) *( + * +) *( - * -)* (+ * +)[/tex] becomes

[tex]+ * + * + * +[/tex]

Group in 2's

[tex](+ * +) * (+ * +)[/tex]

Apply the rule

[tex]+ * +[/tex]

Finally, this gives:

[tex]+[/tex]

Hence, the sign on the end result is +

Answer:

21 miles per gallon of gas

Step-by-step explanation:

Solving the above question:

25 gallons of gas = 525 miles

1 gallon of gas = x miles

Cross Multiply

25 gallons × x miles = 525 miles × 1 gallons

x miles = 525 miles/25 gallons

x = 21 miles

Therefore, the miles that Haden's car travelled per gallon of gas is 21 miles per gallon of gas

Answer:

The 35 pound bag

Step-by-step explanation:

If you divide the price of the 25 pound bag by the number of pounds it has you get 0.81 dollars per pound

20.25 / 25 = 0.81

However if you divide the price of the 35 pound bag by the number of pounds it has you get 0.79 dollars per pound

27.65 / 35 = 0.79

This means you get more dog food for less in the larger 35 pound bag

Answer:

The general form equation is: y(x)= a(1-r)^x such that r is the decay percent. Then, the decay percent is 75%. The equation represents exponential growth because the growth factor is greater than 1.

Answer:

use calculator

Step-by-step explanation:

but I think the answer is 75%

Answer:36.5

Step-by-step explanation:

Answer:

60% discount is the better buy

Step-by-step explanation

Step one

Original price =$40

Let us compute the various discounts and compare the prices

For 60%

=60/100*40

=0.6*40

=$24

New price = 40-24= $16

For 35%

=35/100*40

=0.35*40

=$14

New price = 40-14= $26

Answer:

[tex]7 \frac{1}{2}[/tex]

Step-by-step explanation:

(-3) ÷ (-2/5) = [tex](-3) * \frac{-5}{2}[/tex]

                 [tex]= \frac{15}{2}\\\\= 7 \frac{1}{2}[/tex]

Answer:

$79.375

Step-by-step explanation:

Given that:

Bill before tax = $63.50

Tax = 7%

Tip added = 18%

Hence,

Tax = 7% of bill before tax

Tax amount = 0.07 * 63.50

Tax amount = $4.445

Tip amount = 0.18 * 63.50

Tip amount = $11.43

Total meal cost :

Before tax cost + tax amount + tip amount

$(63.50 + 4.445 + 11.43) = $79.375

Answer:

12 is 90% of what number? 13.33

12% of 72 is what number? 8.64

Answer:

The slope is 3/2 or 1.5

Step-by-step explanation:

To find the slope, simply divide the rise by the run. The rise of this line can be found by subtracting one y coordinate by another (it doesn't matter which by which). The run can be found by subtracting one x coordinate by another (it doesn't matter which by which).

So, let's say, for the y coordinates, I choose to subtract 3 by 0. 3 - 0 = 3. 3 is your rise.

For the x coordinates, I can choose to subtract -5 by -7. -5 - (-7) = 2. 2 is your run.

The slope is rise/run, so your answer is 3/2, which, in decimal form, is 1.5.

Hope this helped!

Answer:

y = -x - 3

Step-by-step explanation:

Sorry it’s late but hope this helps. Pls give brainliest.