Answer: Please Give Brainliest. Thank You!
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The number of seventh-graders that must join the club in order to meet the president's wishes is 10.
Since there are 45 eighth graders and 20 seventh graders in a school club and the president of this club wants 40% of the club’s members to be seventh graders, we need to find the number of seventh graders that will be added to the school club to make their percentage 40 %.
Let the number of seventh-graders to be added be x.
So, the new number of seventh-graders is 20 + x and the new number of people in the club is 45 + 20 + x = 65 + x
Thus, the percentage of seventh graders in the club is thus
[tex]\frac{20 + x}{65 + x} X 100[/tex] %
Since this percentage equals 40 %, we have that
[tex]\frac{20 + x}{65 + x} X 100[/tex]% = 40 %
[tex]\frac{20 + x}{65 + x} = \frac{40}{100} \\\frac{20 + x}{65 + x} = 0.4[/tex]
Cross-multiplying we have
[tex]20 + x = 0.4(65 + x)[/tex]
Expanding the bracket, we have
[tex]20 + x = 26 + 0.4x[/tex]
Subtracting 20 from both sides we have
[tex]x = 26 - 20 + 0.4x\\x = 6 + 0.4x[/tex]
Subtracting 0.4x from both sides, we have
[tex]x - 0.4x = 6\\0.6x = 6[/tex]
dividing both sides by 0.6, we have
x = 6/0.6
x = 10
So, the number of seventh-graders that must join the club in order to meet the president's wishes is 10.
Learn more about percentages here:
https://brainly.com/question/23127071
Write the following integers along the maze so they are
increasing from start to finish. The shaded box in the maze will
have the answer to the question.
5, -14, -39, -3, 61, -60, -23, -72, -48, -11, 100, -45, 10,
-57, -1, -29, -64, -37, 0, -65, 74, 98, -28, -7,-63, -49,
--21, -54, 27, 53,-9, -32, -16,35, -30, -18, -52, 86, -46, 42,
-56, -41, -22, -43, 19
START
What is the distance between the two points in simplest radical from? P(2,8) and B(1,3)
Answer:
√26Step-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]
What is the approximate volume of the whole sphere? Use pie=3.14 and round to the nearest whole cubic unit.
a. 42 cubic units
b. 126 cubic units
c. 4,187 cubic units
d. 73,385 cubic units
if you could awnser this as soon as possible that would be great :)
Answer:
c. 4187 cubic units
Step-by-step explanation:
V = 4/3 π r³
= 4/3(3.14)(10)³
= 4186.6666666
Please answer answer question now
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
In a chocolate chip cookie recipe flour,brown sugar, and chocolate chips are mixed in the ratio 5:3:4 if the total volume of the three ingredients is 720 ML how many mL of Chocolate chips are in the mix
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.
The addition formula for cosine is shown below.
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
Figure p was rotated about the origin (0,0) by 180. Which figure is the image of p?
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
1 liter of ink can print 5000 pages of text. If you had 100 gallons of ink then how many pages could you print?
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
The cone in the figure below has a volume of 72π cubic centimeters and a height of 6
centimeters. What is the radius of the base of the cone, in centimeters?
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
solve equation show all steps 3/8x=36
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
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Hi my lil bunny!
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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]
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If this helped you, could you maybe give brainliest..?
Also Have a great day/night!
❀*May*❀
please answer this
simplify it too
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
Anyone know the answer to this... Thanks
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.
Write the following fractions as mixed number: 46/9, and 32/5
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).
What shape best describes the cross-section cut at an angle to the base of a right rectangular prism? Trapezoid Parallelogram Square Rectangle
Answer:
Parallelogram
Step-by-step explanation:
Answer:
Parallelogram
Step-by-step explanation
Help!!! Help!!! Help!!!
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
The area of a rectangular ceiling tile is 756 square inches. The perimeter is 114 inches. What are the dimensions of the tile?
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
Which graph below has a midline of about -1, an amplitude of 2, and a period of 3pi
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.
x=1 2 3 4 5. y=5 7 9 11 13 what's the rule
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
An angle measures 2 more than the measure of its complementary angle
Answer:
let x be the complementary angle
then x + 2 is the angle
x+2 +x =90
2x = 88
x = 44°
x + 2° = 46°
50 percent of 120 is the same as 80 percent of what number?
A) 42
B) 45
C) 48
D) 52
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
Pls help me... Need proper working .. Answer all questions and explain a bit, a bit..... OK?if anything that you don't understand.... Ask me.
Step-by-step explanation:
for no .5.no.6...you must understand that if u want to get speed,distance must multiple with time
John used 1 3/4 kg os salt to melt the ice on the sidewalk. He then used another 3 4/5 kg on the driveway. How much salt did he use in all? PLEASE SHOW YOUR WORK I WILL MARK YOU BRAINIEST AND PLEASE EXPLAIN HOW YOU GOT YOUR WORK.
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.
Ratios, Rates, and Percents
17:30
Question 16
Problem
Patricia traveled an average speed of 65 miles per hour for 4.5 hours and then traveled at an average speed of 60 miles per hour for 1.5 hours. What was the total distance in
miles that Patricia traveled during this time?
Answer:
382.5 :)
Step-by-step explanation:
took test
D.2 please help I’ll mark brainliest
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
Factorize Completely
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Hi my lil bunny!
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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*❀
tolong donk cari apa jawabannya
Answer:
= 49
Step-by-step explanation:
[tex]\frac{-7^{7} }{-7^{5} }[/tex]
= -7⁷⁻⁵
= -7²
= -7*-7
= 49
If 42% of a number Nis 8.4, what is the value of N?
O 10
O 20
O 24
O 32
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]
Is 7/12 rational or irrational
Answer:
7/12 is a rational
Step-by-step explanation:
because it is containing a quantity which are expressible
Help please! its very time sensitive!!
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
The sum of 2 numbers is 250. One of them is greater than 150. Which of these is definitely true about the other number? a) It is equal to 100. b) It has to be less than 100. c) It has to be greater than 100. d) It has to be a number between 150 and 250. Please answer fast and do explain how you got the answer...
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!!!