There are 45 eighth graders and 20 seventh graders in a school club. The president of this club wants 40% of the club’s members to be seventh graders. How many more seventh-graders must join the club in order to meet the president’s wishes? (Assume that the number of eighth-graders remains the same.)

Answer:

c. 4187 cubic units

Step-by-step explanation:

V = 4/3 π r³

= 4/3(3.14)(10)³

= 4186.6666666

Answer:

240 mL.

Step-by-step explanation:

The following data were obtained from the question:

Ratio of Flour = 5

Ratio of brown sugar = 3

Ratio of chocolate = 4

Total volume = 720 mL

Next, we shall determine the total ratio. This can be obtained as follow:

Total ratio = ratio of flour + ratio of brown sugar + ratio of chocolate

Total ratio = 5 + 3 + 4

Total ratio = 12

Finally, we shall determine the volume of the chocolate chips in the mixture as shown below:

Volume of chocolate chips = ratio of chocolate /total ratio x total volume

Ratio of chocolate = 4

Total ratio = 12

Total volume = 720 mL

Volume of chocolate chips =..?

Volume of chocolate chips = ratio of chocolate /total ratio x total volume

Volume of chocolate chip = 4/12 x 720

Volume of chocolate chip = 240 mL

Therefore, the volume of the chocolate chips in the mixture is 240 mL.

Answer:

Step-by-step explanation:

Sin(A) = 8/10

Cos(A) = 6/10

Sin(B) = 15/17

Cos(B) = 8/17

Cos(A+B) = 6/10 * 15/17 - 8/10  * 8/17

Cos(A +B) = 90/170 - 64/170

Cos(A + B) = 26/170

Answer:

Step-by-step explanation:

[tex]P(2,8) \: , B(1,3)\\x_1=2\\y_1=8\\x_2 =1\\y_2 =3\\\\d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\ d = \sqrt{(1-2)^2+(3-8)^2} \\\\d = \sqrt{(-1)^2+(-5)^2}\\\\ d = \sqrt{1+25}\\\\ d = \sqrt{26}[/tex]

●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●

 Hi my lil bunny!

❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙

Factor [tex]2x^3-3x^2-17x+30[/tex]

[tex]2x^3-3x^2-17x+30[/tex]

= [tex]( x - 2) ( x + 3) ( 2x - 5)[/tex]

So your answer would be : [tex]( x - 2) ( x + 3) ( 2x - 5)[/tex]

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●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●

If this helped you, could you maybe give brainliest..?

Also Have a great day/night!

❀*May*❀

x = 1 2 3 4 5

Rule:

x = (n+1)

Where n is the number

y = 5 7 9 11 13

Rule:

y = (n+2)

Where n is the number

Must click thanks and mark brainliest

Step-by-step explanation:

for no .5.no.6...you must understand that if u want to get speed,distance must multiple with time

Mentally, rotating the Cartesian Plane 180º, we find that the figure that was in the 4th quadrant goes to the 2nd quadrant.

So, answer B

Answer:

coefficients are the number attached to the variables :75d+8w+25

75 , 8 and the constant is 25. the variables are d and w

if he works for 5 days(d) and installed 48 windows(w)

75 d + 8 w+25

75(5)+8(48)+25= 784 dollars

if Javier get increase of 40 dollars for snack, only the constant  change, because the coefficient depends on work days and the number of windows installed, and since only the increase in his stipend, therefor the increase will be the constant value only.

Answer:

75... but I don't see it down there

Step-by-step explanation:

equation:

0.5(120) = 0.8(x)

60 = 0.8x

60/8 = 0.1x

7.5 = 0.1x

x = 75

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

Parallelogram

Step-by-step explanation:

Answer:

Parallelogram

Step-by-step explanation

Answer:

let x be the complementary angle

then x + 2 is the angle

x+2 +x =90

2x = 88

x = 44°

x + 2° = 46°

Answer:

500,000 pages

Step-by-step explanation:

1 / 5000 = 100 / x

x = 5000(100)

x = 500,000

Answer:

1892705 pages of text.

Step-by-step explanation:

g=Gallon

L=Liters

P=Pages

1L=5000p

1g=3.78541L

100g·3.78541L=378.541L

378.541L·5000=1892705

Answer:

x = 96

Step-by-step explanation:

3/8x = 36

You have to multiply both sides of the equation by the inverse of the fraction to cancel it out.

(8/3)(3/8x) = (36)(8/3)

x = 96

●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●

Hi my lil bunny!

❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙

Let's solve your equation step-by-step.

[tex]\frac{3}{8}x=36[/tex]

Step 1: Multiply both sides by 8/3.

[tex]( \frac{8}{3} ) * ( \frac{3}{8}x) = ( \frac{8}{3} ) * ( 36)\\x = 96[/tex]

Answer : [tex]\boxed {x = 96}[/tex]

❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙

●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●

If this helped you, could you maybe give brainliest..?

Also Have a great day/night!

❀*May*❀

Answer:

Area= 97.9 km²

Step-by-step explanation:

Angle at w = 180-119-34

Angle at w = 27°

Side XV= x

x/sin27= 26/sin119

x= sin27(26/sin119)

x= 0.454(26/0.8746)

x= 13.5 km

Side WX = y

y/sin 34= 26/sin119

y= sin34(26/sin119)

y= 0.559(26/0.8746)

y= 16.6 km

S= (16.6+13.5+26)/2

S= 56.1/2

S=28.05

Area = √(28.05(28.05-26)(28.05-13.5)(28.05-16.6))

Area=√(28.05(2.05)(14.55)(11.45))

Area=√(9579.772744)

Area=97.8763

Area= 97.9 km²

Answer:

the last one

Step-by-step explanation:

The two on the right bounce up and down around -1. Two up and two down from -1. But only the one on the bottom right takes 3 pi to come back to the same place it started.

Explanation:

[tex]\displaystyle y = 2cos\:(\frac{2}{3}x - \frac{\pi}{2}) - 1 \\ y = 2sin\:\frac{2}{3}x - 1 \\ \\ y = Acos(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow -1 \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{\frac{3}{4}\pi} \hookrightarrow \frac{\frac{\pi}{2}}{\frac{2}{3}} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{3\pi} \hookrightarrow \frac{2}{\frac{2}{3}}\pi \\ Amplitude \hookrightarrow 2[/tex]

OR

[tex]\displaystyle y = Asin(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow -1 \\ Horisontal\:[Phase]\:Shift \hookrightarrow 0 \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{3\pi} \hookrightarrow \frac{2}{\frac{2}{3}}\pi \\ Amplitude \hookrightarrow 2[/tex]

You will need the above information to help you interpret the graph. So, first off, you MUST figure the period out by using wavelengths. So, looking at where the graph hits [tex]\displaystyle [-4\frac{1}{2}\pi, -1],[/tex] from there to [tex]\displaystyle [-1\frac{1}{2}\pi, -1],[/tex] they are obviously [tex]\displaystyle 3\pi\:units[/tex] apart, telling you that the period of the graph is [tex]\displaystyle 3\pi.[/tex] Now, the amplitude is obvious to figure out because it is the A-term, but of cource, if you want to be certain it is the amplitude, look at the graph to see how low and high each crest extends beyond the midline. The midline is the centre of your graph, also known as the vertical shift, which in this case the centre is at [tex]\displaystyle y = -1,[/tex] in which each crest is extended two units beyond the midline, hence, your amplitude. So, no matter how far the graph shifts vertically, the midline will ALWAYS follow.

*If you wanted to know the equation(s) of the graph, look above. If you have any questions on how the equation(s) came about, do not hesitate to ask.

I am delighted to assist you at any time.

Answer:

b

Step-by-step explanation:

Answer:

d) it has to be greater than 150 and 250

Step-by-step explanation:

It  says in the question it is greater than 150. So the number will be between 150 and 250.

Mark it as Brainliest pls

Hope it helps!!!

Answer:

At 2

Step-by-step explanation:

I think it is because it slants down instead of going up. That is the reason why I say my answer is at 2.

HOPE THIS HELPED

Answer:

7/12 is a rational

Step-by-step explanation:

because it is containing a quantity which are expressible

Answer:

[tex]5 \frac{1}{9}[/tex]

[tex]6 \frac{2}{5}[/tex]

Step-by-step explanation:

We can convert these improper fractions into mixed numbers by seeing how many times the denominator goes into the numerator.

In [tex]\frac{46}{9}[/tex], 9 goes into 46 5 times, with a remainder of 1. So:

[tex]5 \frac{1}{9}[/tex].

In [tex]\frac{32}{5}[/tex], 5 goes into 32 6 times with a remainder of 2, so:

[tex]6 \frac{2}{5}[/tex].

Hope this helped!

Answer:

5 1/9 and 6 2/5

Step-by-step explanation:

The simplest way to convert improper fractions into mixed fractions is by long division (see attached).

Answer:

B

Step-by-step explanation:

sin(theta) = sqrt(1-cos^2(theta)

sin(theta)=sqrt(1-1/2)=sqrt(1/2)=sqrt(2)/2 but as theta is in IV quadrant, sin(theta) will be negative

Answer:

6 cm

Step-by-step explanation:

The volume of a cone = (1/3) πr²h

72π = (1/3) π r² 6

72 = (1/3) r² 6

Divide both sides by 6

12 = (1/3) r²

Multiply both sides by 3

36 = r²

So r (radius) = 6 cm

Answer:

678.24 in³

Step-by-step explanation:

V=hπr²

V=8(9)π

V=72(3.14)

V=226.08

Multiply by 3.

226.08*3=678.24

I hope this helps!

pls ❤ and give brainliest pls

Answer:

= 49

Step-by-step explanation:

[tex]\frac{-7^{7} }{-7^{5} }[/tex]

= -7⁷⁻⁵

= -7²

= -7*-7

= 49

Answer:

111/20 = 5.55

Step-by-step explanation:

He used a total of 1  3/4 and  3  4/5 salt.

Convert both these mixed numbers into fractions.

=> 7/4 + 19/5

Take the LCM of the denominators

=> 35/20 + 76/20

Add the numerators

=> 111/20 = 5.55

He used a total of 111/20 or 5.55 kgs of salt.

Answer:

382.5 :)

Step-by-step explanation:

took test

Here we need to use what we know about rectangles to make a system of equations.

By solving that system we found that the tile has a length of 36 inches and a width of 21 inches.

Remember that for a rectangle of length L and width W, the perimeter is:

P = 2*(L + W)

And the area is:

A = W*L

Here we know that the perimeter is 114 inches, then we can write:

114in = 2*(L + W)

We also know that the area is 756 in^2, then we can write:

756 in^2 = L*W

So we found two equations, which means that we have a system of two equations with two variables:

114in = 2*(L + W)

756 in^2 = L*W

To solve this, the first step is to isolate one of the variables in one of the equations, we can isolate L in the first equation:

114in = 2*(L + W)

114in/2 = (L + W)

57in = L + W

57in - W = L

Now that we have an expression equivalent to L, we can replace it in the other equation to get:

756 in^2 = L*W

756 in^2 = (57in - W)*W

Now we can solve this for W.

756 in^2 = W*57in - W^2

W^2 - W*57in + 756 in^2 = 0

The solutions are given by the Bhaskara's formula:

[tex]W = \frac{57in \pm \sqrt{(-57in)^2 - 4*1*(756in^2)} }{2*1} = \frac{57in \pm 15in}{2}[/tex]

Then the two possible values of the width will be:

W = (57in + 15in)/2 =  36 in

W = (57in - 15in)/2 = 21 in

Suppose that we choose the second solution, W = 21in

Now using the equation 57in - W = L we can find the value of L

L = 57in - W = 57in - 21in = 36in

L = 36in

Then we found that the tile has a length of 36 inches and a width of 21 inches.

If you want to learn more, you can read:

https://brainly.com/question/11137975

Answer:

x^2 +3x

Step-by-step explanation:

The outer rectangle has an area of

A = l*w = (4x)*(x+2) = 4x^2 +8x

The inner rectangle has an area of

A = (3x+5)*x = 3x^2 +5x

Subtract the inner rectangle from the outer rectangle

Shaded area = 4x^2 +8x - ( 3x^2 +5x)

Distribute the minus sign

                       =4x^2 +8x -  3x^2 -5x

Combine like terms

                       = x^2 +3x

Answer:

20

Step-by-step explanation:

Of means multiply and is means equals

42% * N = 8.4

.42 N = 8.4

Divide each side by .42

N = 8.4/.42

N =20

Answer:

Step-by-step explanation:

Let the number be 'x'

42% of x = 8.4

[tex]\dfrac{42}{100}*x=8.4\\\\x=8.4*\dfrac{100}{42}\\\\x=\dfrac{840}{42}\\\\x= 20[/tex]