The ratio of seventh graders to eighth graders at junior high school is 9:10. If there is 90 eighth graders, how many seventh graders would be there?

Answer:

Area of the shaded region = (6x + 3)

Step-by-step explanation:

Area of the shaded region = Area of the large rectangle - Area of the small rectangle

Area of the large rectangle = Length × Width

                                             = (x + 2)(x + 2)

                                             = (x + 2)²

                                             = x² + 4x + 4

Area of the small rectangle = (x - 1)(x - 1)

                                             = (x - 1)²

                                             = x² - 2x + 1

Area of the shaded region  = (x² + 4x + 4) - (x² - 2x + 1)

                                             = 6x + 3

Area of the shaded region = (6x + 3)

Answer:

1/50

Step-by-step explanation:

1/30 * 3/5 = 3/150

Reduce

1/50

Answer:

2/5

Step-by-step explanation:

Answer:

A. 3x +3

B. 10x + 4

C. 30x - 50

D. -12x - 21

Step-by-step explanation:

A. 3(x + 1)

1. Multiply 3 times x = 3x

2. Multiply 3 times 1 = 3

3. Put them together 3x + 3

4. Repeat process for other problems.

Let me know if you have any other questions :)

Answer:

b = - 5 , - 7 , 5 , 7

Step-by-step explanation:

Standard quadratic equation is of the form :

ax² + b x + c , where b = p + q and c = pq

Where p and q are factors of c.

Therefore , we will consider the factors of 6.

Factors of 6 = ( -1 , -6 ) , ( -2 , -3 ) , ( 1, 6 ) , ( 2 , 3)

x² + bx + 6

b = p + q

So, b = - 7 , -5, 7 , 5

Answer:

C = 6 pi ft

Step-by-step explanation:

Circumference is given by

C = 2*pi*r

C = 2 * pi *3

C = 6 pi ft

Answer:

what are you talking about dude.

Answer:

16

Step-by-step explanation:

the greatest common factor of 16 and 48 is 16

Factors for 16: 1, 2, 4, 8, and 16.

Factors for 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48.

Answer:

0

Step-by-step explanation:

When a number is not included or used, it can be considered 0.

This makes sense, because if it had a actualy value, it would effect the polynomial, and change the answer.

The only time it would  not effect the polynomial is when it 0.

Hope this makes sense :D

Answer:

y = x/2

Step-by-step explanation:

Let y represent the number the number of red balls and let x represent the number of blue balls. Since we have that the number of Red balls is half the number of the Blue ones, and the number of red balls equals x, we divide x by 2. So, x/2.

Since x/2 is equal to the number of blue balls and y is the number of blue balls, we write y = x/2.

So, our linear equation in two variables that represents "the statement the number of Red balls is half the number of the Blue ones"​ is

y = x/2

7 x 180 = 1260

1260/2 = 630 is the answer

Answer:

630

Step-by-step explanation:

Answer:

24.25 feet

Step-by-step explanation:

Answer:

144 = arc DF

Step-by-step explanation:

Inscribed Angle = 1/2 Intercepted Arc

72 = 1/2  arc DF

Multiply by 2

2*72 = arc DF

144 = arc DF

Answer:

I am almost 100% sure the answer is D.

Step-by-step explanation:

Deductive reasoning is the process of reasoning logically from given statements to make a conclusion. Deductive reasoning is the type of reasoning used when making a Geometric proof, when attorneys present a case, or any time you try and convince someone using facts and arguments.

Answer:

The answer is D

Step-by-step explanation:

This is because it cant be 13 or any smaller, and if the shorter side is 13 than it can't be any less than double itself, so it's D

Answer:

1. Ethan

2. 2.5 tons

3. 72 in

4. 5.7 mi

Step-by-step explanation:

1. Convert to pints by multiplying gallons by 4 to get quarts and quarts by 4 to get pints then compare.

2. Divide pounds by 2000 to get tons

3. Multiply by 12

4. Divide by 5280 to turn feet into miles

Answer:

71701,71702, 71703 etc

Step-by-step explanation:

Given :

[tex]7.17[/tex]×[tex]10^{4}[/tex] and 8.17×[tex]10^{5}[/tex]

Now

[tex]7.17[/tex]×[tex]10^{4}[/tex]=71700 and

8.17×[tex]10^{5}[/tex]=817000

There are so many numbers between 71700 and 817000

Like: 71701,71702, 71703 etc

Answer:

x=4 and y=−2

Step-by-step explanation:

Let's solve your system by substitution.

3x+8y=−4;2x−4y=16

Step: Solve 3x+8y=−4 for x:

3x+8y=−4

3x+8y+−8y=−4+−8y(Add -8y to both sides)

3x=−8y−4

3x/3=−8y−4/3 (Divide both sides by 3)

x=−8/3y+−4/3

Step: Substitute −8/3y+−4/3 for x in 2x−4y=16:

2x−4y=16

2(−8/3y+−4/3)−4y=16

−28/3y+−8/3=16 (Simplify both sides of the equation)

−28/3y+−8/3+8/3=16+8/3 (Add 8/3 to both sides)

−28/3y=56/3

−28/3y/−28/3=56/3/−28/3 (Divide both sides by (-28)/3)

y=−2

Step: Substitute−2 for y in x=−8/3y+−4/3:

x=−8/3y+−4/3

x=−8/3(−2)+−4/3

x=4 (Simplify both sides of the equation)

So the Answers are: x=4 and y=−2 or u can switch it around y=−2 and x=4

Respuesta:

200 mangos

Explicación paso a paso:

Dado :

Sea el número inicial de mangos = x

Primera venta:

3 / 5x + 2

Número a la izquierda = x - (3 / 5x + 2) = 2 / 5x - 2

Segunda venta:

1/3 (2 / 5x - 2) + 2 = 2 / 15x - 2/3 + 2

Cantidad restante:

2 / 5x - 2 - (2 / 15x - 2/3 +2)

2 / 5x - 2 - 2 / 15x + 2/3 - 2

0,2666666x - 3,3333

Tercera venta:

1/2 (0,2666666x - 3,3333) + 1 = 0,133333x - 1,666665 + 1

0.2666666x - 3.3333 - (0.133333x - 1.666665 + 1) = venta final

0,2666666x - 3,3333 - (0,133333x - 1,666665 + 1) = 24

0,2666666x - 3,3333 - 0,133333x + 1,666665 - 1 = 24

0,133333x - 2,666635 = 24

0.133333x = 24 + 2.666635

0,133333x = 26,666635

x = 26,666635 / 0,133333

x = 200.00026

x = 200 mangos

Answer:

x =6

Step-by-step explanation:

The angles are alternate interior angles and alternate interior angles are equal

7x = x+36

Subtract x from each side

7x -x = x+36-x

6x = 36

Divide by 6

6x/6 = 36/6

x = 6

Answer:

C

Step-by-step explanation:

the vertex of the blue is (-4,1)

the matching formula has the vertex in it (h,k)

y = (x-h)^2 + k

notice in the formula h is negative

so since the x value of the vertex is (-4), you make it positive in the formula

the y value is positive in the formula and so is the y value of the vertex (1)

Answer:

See below.

Step-by-step explanation:

sin(71) = x/23

x = sin(71) * 23

x = 21.75

Answer:

21.75 (2 digit after decimal)

Step-by-step explanation:

Sin theta = perpendicular/hypotenuse

sin 71=x/23

23 sin 71=x

x=21.747

Answer:

PQ' : Q'Q = 3 : 1

Step-by-step explanation:

As Given In Question

We Have A Triangle With Side PQ=8cm

PQ' = 3/4 * PQ

PQ' = 3/4 * 8

PQ' = 6 cm

& Q'Q = PQ - PQ'  

            = 8 - 6 = 2cm

so the line segment PQ is divided into PQ' : Q'Q = 3 : 1

Answer:

75.06239187

Step-by-step explanation:

1/2bh= Area of a Triangle

6^2+b^2=8.5^2 because we are missing a side we need to use the pythagorean theorem.

36+b^2=72.25

b^2=36.25

b=6.02

6.02+19= base

25.02

Now area

1/2bh

1/2 (25.02*6)

25.02*6= 150.1247

150.1247/2= 75.06239187 is Area

The above decimals before area are rounded.

Answer:

ratio is 1/2

Step-by-step explanation:

r=8/16 =1/2

Answer:

1/2

Step-by-step explanation:

16 * 1/2 = 8

8 * 1/2 = 4

4 * 1/2 = 2

Hope this helps!

Answer:

25/99 and the ones you selected

Step-by-step explanation:

Irrational numbers are decimals that do not repeat. 25/99 does not repeat but goes on forever. Same with the other choices like square root of 17 and 18, as well as 0.48...

Hope this helps!

:)

Answer:

Don't trust me but I would say B

Answer:

A triangle whose sides form a Pythagorean triple is called a Pythagorean triangle, and is necessarily a right triangle. The name is derived from the Pythagorean theorem , stating that every right triangle has side lengths satisfying the formula a2+ b2= c2; thus, Pythagorean triples describe the three integer side lengths of a right triangle.

Step-by-step explanation:

Answer: sqrt(2)/2  which is choice D

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

Explanation

(3pi/4) radians converts to 135 degrees after multiplying by the conversion factor (180/pi).

The angle 135 degrees is in quadrant 2. We subtract the angle 135 from 180 to find the reference angle

180-135 = 45

Then you can use a 45-45-90 triangle to determine that the ratio of opposite over hypotenuse is sqrt(2)/2

sine is positive in quadrant 2

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

Alternatively, you can use a unit circle. Refer to the diagram below. In red, I've circled the angle 3pi/4 radians. The terminal point for this angle has a y coordinate of sqrt(2)/2

Recall that y = sin(theta).

Answer:

the first one

Step-by-step explanation:

Answer:

20x

Step-by-step explanation:

Answer:

[tex]perimeter = 2(l + w) \\ = 2((4x + 2) + 2) \\ = 2(4x + 4) \\ =( 8x + 8) \: units \\ \\ area = l \times w \\ = (4x + 2) \times 2 \\ = (8x + 4) \: sq \: units[/tex]

The required values are :

[tex] \longrightarrow \mathrm{BC = 8 \: \: cm}[/tex]

and

[tex] \longrightarrow \mathrm{AC = 10 \: \: cm}[/tex]

[tex] \mathrm{✌TeeNForeveR✌}[/tex]