The math department is putting together an order for new calculators. The student are asked what model and color they prefer

Answer:

=1

Step-by-step explanation:

(-2-√3)(-2+√3)

=-2(-2+√3)-√3(-2+√3)

=4-2√3+2√3-√9

=4-3

=1

Answer:

4/7

Step-by-step explanation:

12 vanilla / 21 total

12/21 = 4/7 (divide both sides by 3)

Answer:

3/7

Step-by-step explanation:

9 / 21 = 3/ 7

Answer: n = 75; p = 30

Explanation: (a) 5p + 4n = 450 where p is for pen and n is for notebook.

(b) 10p + 3n = 525

We can use the elimination method to solve these two equations.

1. Multiply the first equation by 2 so that 10p will cancel out:

2(5p + 4n = 450)

- 10p + 3p = 525

10p + 8n = 900

- 10 p + 3n = 525

5n = 375

2. Divide by 5 to get n alone: n = 75

3. Plug 75 into the first equation: 5p + 4(75) = 450

5p + 300 = 450

4. Subtract 300 from 450: 5p = 150

5. Divide by 5 to get p alone: p = 30

We can test if this is correct by plugging our answers into the second equation:

10(30) + 3(75) = 525

300 + 225 = 525

525 = 525

This is a true statement, which means that our answers are correct.

Answer:

3,6,9

Step-by-step explanation:

123 456 789

Answer:

85

Step-by-step explanation:

hi plz mark brainlist

Answer:

2nd Quadrant

Step-by-step explanation:

ordinate = y cordinate

abcissa = x cordiante

(-7,3)

( -,+) lies in second quadrant)

Hope u understand

Please mark as brainliest

Thank You

Answer:

m = 7

Step-by-step explanation:

- 3(12 - m) = - 1(m - 8)

- 36 - (- 3m) = - m - 8

- 36 + 3m = - m - 8

- 36 + 3m + m = - m + m - 8

- 36 + 4m = - 8

- 36 + 36 + 4m = - 8 + 36

4m = 28

4m ÷ 4 = 28 ÷ 4

m = 7

2(n-10)≤ 28 or n ≤ 24

Answer:

2x-10≤22

Step-by-step explanation:

2x≤22+10=32

x≤16

Answer:

540 inches

Step-by-step explanation:

1 yard equals 36 inches.  Thus, a 15-yard hose has the measurement in inches of (36)(15) = 540

2 Answers:

Parallel lines always have equal slope, but different y intercepts.

==========================================================

Explanation:

Let's solve the second equation for y

3y - x = -7

3y = -7+x

3y = x-7

y = (x-7)/3

y = x/3 - 7/3

y = (1/3)x - 7/3

The equation is in y = mx+b form with m = 1/3 as the slope and b = -7/3 as the y intercept. We see that the first equation, where y was already isolated, also has a slope of m = 1/3. The two equations of this system have the same slope. Choice C is one of the answers.

However, they don't have the same y intercept. The first equation has y intercept b = -4, while the second has b = -7/3. This means that they do not represent the same line. They need to have identical slopes, and identical y intercepts (though the slope can be different from the y intercept of course) in order to have identical lines. So we can rule out choice D and E because of this.

Because the two equations have the same slope, but different y intercepts, this means the lines are parallel. Choice B is the other answer.

Parallel lines never touch or intersect, which in turn means there is no solution point. A solution point is where the lines cross. We can rule out choice A.

I recommend using your graphing calculator, Desmos, GeoGebra, or any graphing tool (on your computer or online) to graph each equation given. You should see two parallel lines forming. I used GeoGebra to make the graph shown below.

Each student reserved 2.2 pounds each

Step-by-step explanation:

I divided 22 by 10 and got 2.2 as for each student I am not sure if your teacher wants it simplified to the nearest whole number but if that's the case each student got 2 pounds of candy

Answer:

The answer is 9 3/5

I hope this helps :)

Answer:

La gráfica con la rectas citadas se encuentran contenidas en la imagen adjunta.

Step-by-step explanation:

Dado que las rectas [tex]r[/tex] y [tex]s[/tex] son polinomios de primer orden, basta con conocer dos puntos distintos de cada una:

Recta r

[tex]A(x,y) = (0, 0)[/tex], [tex]B(x,y) = (1, 2)[/tex]

Recta s

[tex]C(x,y) = (0, 1)[/tex], [tex]D(x,y) = (1, 3)[/tex]

A continuación, ubicamos los puntos en un plano cartesiano y trazamos las rectas respectivas:

Given:

The histogram of a survey that represents the amount of electricity used by residents in a local community.

To find:

The approximate number of participants in the survey.

Solution:

Using the given histogram, we get the frequency table:

Electricity usage              Frequency

          50                                 23

         150                                 34

        250                                 25

        350                                 26

        450                                 42

Sum of frequencies is:

[tex]23+34+25+26+42=150[/tex]

It means the total number of participants in the survey is 150.

Therefore, the correct option is (a).

Answer:

11 cups

Step-by-step explanation:

Answer:

11 cups

Step-by-step explanation:

3 + 3 + 2 + 1 + 2 = x

6 + 3 + 2 = x

6 + 5 = 11

11 cups

or you can just solve directly.

--Applepi101

Answer:

[tex]134.041\ \text{in}^3[/tex]

Step-by-step explanation:

r = Radius of sphere = Radius of basketball = 4 inches

h = Height of cylinder = 8 inches

Volume of unoccupied space will be the difference in volume between the cylinder and the basketball

[tex]\Delta V=\pi r^2h-\dfrac{4}{3}\pi r^3\\\Rightarrow \Delta V=\pi r^2(h-\dfrac{4}{3}r)\\\Rightarrow \Delta V=\pi\times 4^2(8-\dfrac{4}{3}\times 4)\\\Rightarrow \Delta V=134.041\ \text{in}^3[/tex]

Unoccupied volume in the container is [tex]134.041\ \text{in}^3[/tex].

Answer: [tex]1536\ m^3[/tex]

Step-by-step explanation:

Given

Box A has a volume of [tex]24\ m^3[/tex]

Box B is similar to box A such that box A dimension is multiplied by 4 to get the box B

So, each length is 4 times the box A and volume is the cube of the side.

Thus, the volume of box B is [tex]4\times 4\times 4[/tex] the volume of box A

The volume of box B is  

[tex]=4\times 4\times 4\times 24\\=1536\ m^3[/tex]

Answer:

i dont really know for sure, but try P (-8, 6) Q (-5, 2) and R (2, 1) sorry if its wrong

Step-by-step explanation:

Answer:

r ≥ 20

Step-by-step explanation:

r/3 - 9 ≥ - 2

r/3 ≥ 7

Multiply both sides by 3

r ≥ 21

Answer: Good deal

Step-by-step explanation:

r/3-9≥2

r ≥ 20

r/3 - 9 ≥ - 2

r/3 ≥ 7

3 r ≥ 20

Answer:

x = 289 degrees

Step-by-step explanation:

The sum of angle measures in a hexagon is 720 degrees. One can apply this information here, by forming an equation. Add up all of the angle measures, including parameter (x), simplify and use inverse operations to solve for the numerical value of the parameter (x).

100 + 102 + 108 + 121 + x = 720

Simplify,

431 + x = 720

Inverse operations,

431 + x = 720

-431        -431

x = 289

Answer:

A

Step-by-step explanation:

Just graph it

Answer:

x = 2

Step-by-step explanation:

0.2x + 0.3 = 0.1x + 0.5 ( subtract 0.1x from both sides )

0.1x + 0.3 = 0.5 ( subtract 0.3 from both sides )

0.1x = 0.2 ( divide both sides by 0.1 )

x = 2

Given:

Dimensions of the rectangular table are 40 inches by 25 inches.

To find:

The length of the diagonal of the table.

Solution:

Diagonal of a rectangle is:

[tex]d=\sqrt{l^2+w^2}[/tex]

Where, l is the length and w is the width of the rectangle.

Putting [tex]l=40,w=25[/tex] in the above formula, we get

[tex]d=\sqrt{(40)^2+(25)^2}[/tex]

[tex]d=\sqrt{1600+625}[/tex]

[tex]d=\sqrt{2225}[/tex]

[tex]d\approx 47.17[/tex]

Therefore, the length of the diagonal is about 47.17 inches.

Answer:

1)4,5,8

2)3,6,7

3)1 and2,5 and 6,3 and 4,7 and 8,1 and6,3and 8,2 and5,4 and 7

Answer:

9 , 4 , 1 , 2

Step-by-step explanation:

Given that Hiro picked up 4 digit cards and the cards will make Multiple of 10

The numbers on the digit cards that will most likely make Multiple of 10 are :

9 , 4 , 1 , 2

Answer:       [tex]2^{8065}[/tex]