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kherson [118]
3 years ago
12

one third of the Juniors in the Linwood high school marching band play the trumpet the band has 50 members and the table shows w

hat percent of the band members are freshman sophomores Juniors and seniors how many Juniors play the trumpet​
Mathematics
2 answers:
Ahat [919]3 years ago
7 0

Answer:

4 Juniors play the trumpet

Step-by-step explanation:

Given the following information:

percent of the band members that are Juniors: 24%

In 50 members of the band, 50*24/100 = 12 are Juniors. One third of them play the trumpet, that makes 12*(1/3) = 4 members.

baherus [9]3 years ago
5 0

Answer:

12

Step-by-step explanation:

You must first divide 50 by 100 to get what 1% of 50 would be (0.5). You can then take 0.5 and multiply it by 24 and you will get 12.

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Find the value of x and the measure of each labeled angle. (8x - 20ºX (5x + 37)​
11111nata11111 [884]

According to above figure, the angles (8x - 20)° and (5x + 37)° are pairs of vertical opposite angles, so

  • 8x - 20 = 5x + 37

  • 8x - 5x = 37 + 20

  • 3x = 57

  • x = 57 ÷ 3

  • x = 19
5 0
3 years ago
Discounts and what is the outcome
Pachacha [2.7K]

Answer:

with discount+tax= $23.15

Step-by-step explanation:

board game is 25

discount: 15%

tax: 7.5%

discount means you take off that amount

tax means you add that amount

discount: 15% off

tax: +7.5%

to find 15% of 25 multiply 25 by 15% (15/100=0.15)

25*0.15

= 3.75

then subtract that from 25

25-3.75

=21.25

tax:

0.075*25

=1.875

~1.9

21.25+1.9

=23.15

5 0
3 years ago
I need help with a proof. i only need number 3, 6, & 7. please help!!!
lesya692 [45]

Answer:

boottytff tgggfgv dugddcv

3 0
3 years ago
Emily's younger brother, Kenny, begged her to make him a superhero costume for Halloween this year, so of course Emily did! Emil
iris [78.8K]

Answer:

20 inches

Step-by-step explanation:

Since the cape is trapezoid shaped and has an area of 600 in², the area of a trapezoid is given by

A =1/2(a + b)h where a = length along the top of the cape = 24 in, b =  length along the bottom of the cape = 36 in and h = height of the cape

So, h = 2A/(a + b)

= 2 × 600 in²/(24 in + 36 in)

= 1200 in²/60 in

= 20 in

So, the height of the cape is 20 inches

6 0
3 years ago
The equation giving a family of ellipsoids is u = (x^2)/(a^2) + (y^2)/(b^2) + (z^2)/(c^2) . Find the unit vector normal to each
Fynjy0 [20]

Answer:

\hat{n}\ =\ \ \dfrac{\dfrac{x}{a^2}\hat{i}+\ \dfrac{y}{b^2}\hat{j}+\ \dfrac{z}{c^2}\hat{k}}{\sqrt{(\dfrac{x}{a^2})^2+(\dfrac{y}{b^2})^2+(\dfrac{z}{c^2})^2}}

Step-by-step explanation:

Given equation of ellipsoids,

u\ =\ \dfrac{x^2}{a^2}+\dfrac{y^2}{b^2}+\dfrac{z^2}{c^2}

The vector normal to the given equation of ellipsoid will be given by

\vec{n}\ =\textrm{gradient of u}

            =\bigtriangledown u

           

=\ (\dfrac{\partial{}}{\partial{x}}\hat{i}+ \dfrac{\partial{}}{\partial{y}}\hat{j}+ \dfrac{\partial{}}{\partial{z}}\hat{k})(\dfrac{x^2}{a^2}+\dfrac{y^2}{b^2}+\dfrac{z^2}{c^2})

           

=\ \dfrac{\partial{(\dfrac{x^2}{a^2})}}{\partial{x}}\hat{i}+\dfrac{\partial{(\dfrac{y^2}{b^2})}}{\partial{y}}\hat{j}+\dfrac{\partial{(\dfrac{z^2}{c^2})}}{\partial{z}}\hat{k}

           

=\ \dfrac{2x}{a^2}\hat{i}+\ \dfrac{2y}{b^2}\hat{j}+\ \dfrac{2z}{c^2}\hat{k}

Hence, the unit normal vector can be given by,

\hat{n}\ =\ \dfrac{\vec{n}}{\left|\vec{n}\right|}

             =\ \dfrac{\dfrac{2x}{a^2}\hat{i}+\ \dfrac{2y}{b^2}\hat{j}+\ \dfrac{2z}{c^2}\hat{k}}{\sqrt{(\dfrac{2x}{a^2})^2+(\dfrac{2y}{b^2})^2+(\dfrac{2z}{c^2})^2}}

             

=\ \dfrac{\dfrac{x}{a^2}\hat{i}+\ \dfrac{y}{b^2}\hat{j}+\ \dfrac{z}{c^2}\hat{k}}{\sqrt{(\dfrac{x}{a^2})^2+(\dfrac{y}{b^2})^2+(\dfrac{z}{c^2})^2}}

Hence, the unit vector normal to each point of the given ellipsoid surface is

\hat{n}\ =\ \ \dfrac{\dfrac{x}{a^2}\hat{i}+\ \dfrac{y}{b^2}\hat{j}+\ \dfrac{z}{c^2}\hat{k}}{\sqrt{(\dfrac{x}{a^2})^2+(\dfrac{y}{b^2})^2+(\dfrac{z}{c^2})^2}}

3 0
3 years ago
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