The students in Mr. Taylor's class are part of different clubs. 8 boys in reading club 4 girls in reading club 2 boys in drama club 12 girls in drama club Which of the following statements is correct? A. For every boy in the drama club, there are two boys in the reading club. B. For every boy in the drama club, there are six boys in the reading club. C. For every girl in the reading club, there are three girls in the drama club. D. For every girl in the reading club, there are four girls in the drama club.

B. 15ft, 36ft, 39ft

use pythagorean theorem

a²+b²=c²

225+1296=1521

for mean you add every number and divide it by the amount of numbers in the data set

for median you put the numbers in order and find the middle number, if there is no middle get the mean for the two middle numbers

range is basically the lowest and highest number

Answer:

Mean= Average

Median= Middle number after numbers are lined up in order

Mode= Repeated Number

Step-by-step explanation:

Answer:

500?

Step-by-step explaination

Wait don't you just add 200 and 300? Or is there some special equation for finding out gigabytes??

500 gigs.

Just add 200 + 300.

(I hope this question isn’t serious..)

Answer:

2 in.

Step-by-step explanation:

If we cut squares from all 4 corners and make it into a open rectangular box, the length of the square cut will become the height of the rectangular prism.

If we cut 1 inch side square:

The 11 inch side will become 11 - 2(1) = 9 and 14 inch side will become 14 - 2(1) = 12. Height is 1. So Volume would be 9 * 12 * 1 = 108

If we cut 2 inch side square:

The 11 inch side will become 11 - 2(2) = 7 and 14 inch side will become 14 - 2(2) = 10. Height is 2. So Volume would be 7 * 10 * 2 = 140

If we cut 3 inch side square:

The 11 inch side will become 11 - 2(3) = 5 and 14 inch side will become 14 - 2(3) = 8. Height is 3. So Volume would be 5 * 8 * 3 = 120

If we cut 4 inch side square:

The 11 inch side will become 11 - 2(4) = 3 and 14 inch side will become 14 - 2(4) = 6. Height is 4. So Volume would be 3 * 6 * 4 = 72

Hence, the greatest volume is when we cut 2 inch side square.

The answer is 2in hope this helps

Answer:

Step-by-step explanation:

[tex]-2(x+3)=-10[/tex]          divide both sides by (-2)

[tex]\dfrac{-2(x+3)}{-2}=\dfrac{-10}{-2}[/tex]

[tex]x+3=5[/tex]            subtract 3 from both sides

[tex]x+3-3=5-3[/tex]

[tex]x=2[/tex]

Answer:

x = 2

Step-by-step explanation:

It is given an expression with variable x

-2(x + 3) = -10​

To find the steps to solving expression

Le expression be,

-2(x + 3) = -10​

-2x + (-2 * 3) = -10

-2x - 6 = -10

-2x = -10 + 6

-2x = -4

2x = 4

x = 4/2 = 2

Therefore x = 2

Answer:

D Buy at a local store where the item’s regular

price is $22.50 and it is on sale for 10% off.

Step-by-step explanation:

Answer:

1.8.10=1.80000000000

7.2.10=7.2000000000

Step-by-step explanation:

[tex]To find out how much 1.8 * 10^11 is greater than 7.2 * 10^10, you can subtract the two values:(1.8 * 10^11) - (7.2 * 10^10)To simplify this expression, you need to have the exponents match. You can do this by rewriting 7.2 * 10^10 as 0.72 * 10^11:(1.8 * 10^11) - (0.72 * 10^11)Now, subtract the coefficients:(1.8 - 0.72) * 10^11Calculate the subtraction:1.08 * 10^11So, 1.8 * 10^11 is 1.08 * 10^11 greater than 7.2 * 10^10[/tex]

Answer:

72 ft

Step-by-step explanation:

4 x 4 = 16 ft

4 x 7 = 28

28/2 = 14

14 x 4 = 56 ft

56 + 16 = 72 ft

Answer:

47736

Step-by-step explanation:

First, subtract 0.064 from 1.000.  You should get 0.936.

Second, multiply 51000 by this 0.936:

0.936(51000) = 47736

51000 decreased by 6.4% is 47736.

To find 6.4% of 51000 and then subtract that value from 51000, follow these steps:

First, calculate 6.4% of 51000.

This can be done by converting the percentage to a decimal and then multiplying:

6.4% = 0.064

0.064 × 51000

= 3264

Next, subtract this value from the original number:

51000 - 3264

= 47736

So, 51000 decreased by 6.4% is 47736.

Complete question:

What is the value of 51000 decreased by 6.4%?

Answer:

(x + 7)² + (y + 3)² = 4

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

here (h, k) = (- 7, - 3) and r = 2, so

(x - (- 7))² + (y - (- 3))² = 2², that is

(x + 7)² + (y + 3)² = 4

Point (a, -b) will be in the third quadrant, (-a, b) will be in the first quadrant, (-a, -b) will be in the fourth quadrant, and (b, a) will be in the fourth quadrant.

The original point (a, b) is in the second quadrant, which means the value of 'a' is negative and 'b' is positive. For the point (a, -b), the x-coordinate remains the same (negative) and the y-coordinate becomes negative, so this point will be in the

third quadrant

. For (-a, b), both the x and y coordinates change sign. The 'x' becomes positive and 'y' remains positive, landing this point in the

first quadrant

. For (-a, -b), both coordinates are positive, which puts this point in the

fourth quadrant

. Lastly, for (b, a), the 'x' coordinate is positive and 'y' coordinate is negative (since 'a' is negative), which means this point will be in the

fourth quadrant

as well.

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Points resulting from the transformation of (a, b) in the second quadrant lie in various quadrants based on their signs. (a, -b) is in the fourth quadrant, (-a, b) is in the third quadrant, and both (-a, -b) and (b, a) are in the first quadrant.

Given that point (a, b) is in the second quadrant, we need to determine the quadrants of the points (a, -b), (-a, b), (-a, -b), and (b, a).

To summarize, if the original point is in the second quadrant of the Cartesian coordinate system, the points (a, -b) is in the fourth quadrant, (-a, b) is in the third quadrant, (-a, -b) is in the first quadrant, and (b, a) is in the first quadrant as well.

Answer:

Step-by-step explanation:

Use PEMDAS:

P Parentheses first

E Exponents

MD Multiplication and Division (left-to-right)

AS Addition and Subtraction (left-to-right)

[tex]4^2\times2^3-(14-16)\div2\\\\=16\times8-(-2)\div2\\\\=128+2\div2\\\\=128+1\\\\=129[/tex]

Answer:

i think its the first one but i'm not sure

Step-by-step explanation:

Answer: The slope is  [tex]\frac{-2}{5}[/tex] and the y-intercept is [tex]\frac{-1}{3}[/tex]

Step-by-step explanation:

We know that the intercept form of a linear function is given by :-

[tex]y=mx+c[/tex], where m is the slope of the line and c is the y intercept point.

The slope of a function is given by :-

[tex]m=\dfrac{\text{change in y}}{\text{change in x}}\\\\\\\Rightarrow\ m=\dfrac{\frac{-2}{15}-\frac{-1}{30}}{\frac{-1}{2}-\frac{-3}{4}}\\\\\\\Rightarrow\ m=\dfrac{\frac{-3}{30}}{\frac{1}{4}}=\dfrac{-2}{5}[/tex]

Put the value of m in the general intercept equation , we get

[tex]y=\frac{-2}{5}x+c[/tex]

Put [tex]x=\frac{-1}{2}[/tex] and [tex]y=\frac{-2}{15}[/tex] in it , we get

[tex]\frac{-2}{15}=\frac{-2}{5}\times \frac{-1}{2}+c\\\\\Rightarrow\ c=\frac{-2}{15}\times\frac{5}{1}=\frac{-1}{3}[/tex]

Hence, The slope is  [tex]\frac{-2}{5}[/tex] and the y-intercept is [tex]\frac{-1}{3}[/tex]

The first equation

6x^2 -18x-24=0

-the graph opens up

6(x^2 -3x -4)=0

6(x^2 -3x +9/4-4-9/4)=0

6(x-3/2)-25x6/4=

6(x-3/2)-75/2

-Vertex is at (3/2, -75/2)

-Axis of symmetry is x=3/2

Second equation

3r^2 -16r -12=0

-the graph opens up

...

Answer: Read the explanation

Step-by-step explanation: (27+32)^2 does NOT equal 45^2, which means its not a right triangle.

(9+40)^2 DOES equals 41^2. Therefor making it a right triangle

Answer:

27ft, 32ft, 45ft : Not a Right triangle

9ft, 40ft,41ft:      Right triangle

Step-by-step explanation:

45^2  (?)  27^2 + 32^2

2025 (?) 729 + 1024

2025 ≠ 1753; Not a Right triangle

41^2 (?) 9^2 + 40^2

1681 (?) = 81 + 1600

1681 = 1681 ; Right triangle

When the sign is ≤ or ≥ (less/greater than or equal to), the dot is filled in.

When the sign is < or >, the dot is not filled in and looks like this o

To find out which number line represents the solution set, simplify the inequality and isolate x

[tex]-\frac{1}{2}x\geq4[/tex]    Multiply -2 on both sides to get rid of -1/2

[tex](-2)(-\frac{1}{2}x)\geq4(-2)[/tex]

x ≤ -8       (The sign flips when you multiply/divide a negative number on both sides of the inequality)

so you get x is greater than or equal to -8, so you have a filled in circle on -8, and the arrow should be going to the right since x is greater than -8

answer : second choice / b

we have

-1/2x >_ 4

Solve the inequality

Multiply by both sides-----> remember change inequality sign

x<_ -4(2)

x<_ -8

the solution is the interval-----------> (-∞,-8]

using a graph tool

see the attached figure

the solution is the shaded area:

Answer:

The area of the hexagon is [tex]1,014\sqrt{3}\ ft^{2}[/tex]

Step-by-step explanation:

we know that

The area of a regular hexagon is equal to

[tex]A=\frac{1}{2}Pa[/tex]

where

P is the perimeter

a is the apothem

Find the length side of the hexagon

Let

b-----> the length side of the hexagon

Remember that

The formula to calculate the length side given the apothem is equal to

[tex]b=\frac{2a}{\sqrt{3}}[/tex]

we have

[tex]a=13\sqrt{3}\ ft[/tex]

substitute

[tex]b=\frac{2(13\sqrt{3})}{\sqrt{3}}[/tex]

[tex]b=26\ ft[/tex]

Find the perimeter P

[tex]P=6b=6(26)=156\ ft[/tex]

Find the area of the hexagon

[tex]A=\frac{1}{2}(156)(13\sqrt{3})=1,014\sqrt{3}\ ft^{2}[/tex]

Answer:

-17/10 is 1.7 is a rational number

Step-by-step explanation:

In mathematics, a rational number is any number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. Since q may be equal to 1, every integer is a rational number. ... Moreover, any repeating or terminating decimal represents a rational number.

Rational numbers are numbers that can be expressed as a fraction with an integer numerator and denominator, where the denominator isn't zero. -17/10 is a rational number because it fits this definition, as -17 is the integer numerator and 10 is the integer denominator.

The number -17/10 refers to a specific type of number known as a rational number. Rational numbers are numbers that can be written as a fraction where both numerator and denominator are integers and the denominator is not zero. Therefore, -17/10 is indeed a rational number because it can be expressed as a fraction as the definition suggests. The numerator is -17 and the denominator is 10, both of which are integers and the denominator is not zero. Thus, when dealing with content-loaded rational numbers like -17/10, you can be confident that you are indeed working with a rational number.

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Answer:

y1 = √x - 3

y2 = √x - 1

Step-by-step explanation:

To quickly solve this problem, we can use a graphing tool or a calculator to plot the equations.

Please see the attached image below, to find more information about the graph s

The equations are:

y1 = √x - 3

y2 = √x - 1

y3 = √(x+1)

y4 = √(3x-3)

Based on the image below, the possible choices would be

the functions

y1 = √x - 3

y2 = √x - 1

Answer:

12. 785.375 in^2

13. 20.666 in.

14. 9cm

Step-by-step explanation:

12. The surface area of a cylinder is given by the surface area of each end plus the surface area of the side:

Surface area = 2 π r^2 + 2 π r h

we know that r = diameter / 2 = 10in/2 = 5in

height = 20 in

Then:

Surface area = 2 π r^2 + 2 π r h =  2 π (5in)^2 + 2 π (5in) (20in) = 785.375 in^2

13. A rectangular prism has 2 ends and 4 sides. Opposite sides have the same area. The surface area is the sum of the areas of all six sides. Then we have:

Area=2b+ph  

where:  

b= area of a base  = 6 in^2

p= perimeter of a base  = 18 in

h= height of the prism

Area = 384 sqrt units

Solving for "h" we have:

Area=2b+ph -> h = (area - 2b)/p = 20.666 in

Then: Area= 20.666 in.

14. We know that the surface area of a cylinder is:

Surface area = 2 π r^2 + 2 π r h

Solving for "h" we have:

h = (Surface area - 2 π r^2)/ 2 π r

Where r = 4cm

Surface area = 326.73 cm^2

h = (Surface area-2πr^2)/2πr=(326.73 cm^2-2π(4cm)^2)/2π(4cm) = 9cm

h =9cm

Answer:

the answer will be the letter W

Step-by-step explanation:

Answer:

W

Step-by-step explanation:

Think about folding the two triangles up in W. You can then fold the outermost rectangles up to form a triangular prism.

Also, notice that the folded figure has two blue triangles and no other picture has two blue triangles besides W.

He does not have enough money in his checking account

Answer:

B

Step-by-step explanation:

Answer:

30.) B

I wasn't able to figure 29 out as some of the tables are cut off.

Hope this helps you out!

Answer:

16

Step-by-step explanation:

f (x)= -5x+1.

Let x = -3

f(-3) = -5(-3) +1

      =15 +1

     = 16

Answer:

f(- 3) = 16

Step-by-step explanation:

To evaluate f(- 3) substitute x = - 3 into f(x)

f(- 3) = ( - 5 × - 3) + 1 = 15 + 1 = 16

Answer:

B. He would still need 51.50

Step-by-step explanation:

First I added up all the deposits Emilio made

so: 621.96+83.11+52.89+307.84=1065.8

then i subtract 129 from the total (1065.8)

which equals 936.8 and I add the 11.5 interest.

which equals 948.3 which is 51.70 less than 1000. Therefore, Emilio still need 51.70 in order to meet his saving accounts goal.

Answer:=40

He needs 4 more games because 4*10

Step-by-step explanation:

Gustafo needs to score 16 more goals to reach 40 goals. Since he scores 4 goals per game on average, he will need 4 more games to reach his goal.

To determine the number of games Gustafo needs to reach at least 40 goals, we first have to find out how many goals he still needs to score. Right now, Gustafo has 24 goals. So, 40 (the total number of goals he needs) - 24 (the goals he already has) = 16 goals he still needs to score.

Since Gustafo scores an average of 4 goals per game, we then divide the number of goals he still needs to score by his average goals per game to find out how many games it will take. So, 16 (goals needed) ÷ 4 (average goals per game) = 4 games. Thus, Gustafo needs to play 4 more games to reach at least 40 goals before the season is over.

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Answer:

What do you mean "new coordinates"?

Step-by-step explanation:

Sorry just confused.

Answer:

y=14

Step-by-step explanation:

y=2(10)-6

y=14

Answer:

8/15 square inches

Step-by-step explanation:

Just multiply the 2 fractions to get the area.

A=L*W

A=area

L=length

W=width

Answer:

try and plug in number like 15 like and then find the answer that makes the 125

Step-by-step explanation:

Answer:

28/66 or 0.42 or 42%

Step-by-step explanation:

first find a

66-38=a

a=28