It was team color t-shirt day at Emily's school. The chart shows the number of students in her class and the color t-shirt that they wore.
T-shirt Colors
Color Worn
White
Blue
Red
Orange 2
Black
5
Gray
What percentage of the total students in Emily's class wore a black shirt?
O 10%
O 20%
O 30%
O 45%

Answer:

b is the correct answer

Answer:

dx/dt = 5√5/2

Step-by-step explanation:

Given:

dx/dt = 25 feet per second

According to Pythagoras theorem:

x² + 90² = y²

We know that x = 30 ft

So,

x² + 90² = y²

30² + 90² = y²

y = 30√10

So,

x² + 90² = y²

By taking differentiate:

2x dx/dt = 2y dy/dt

[x/y][dx/dt] = dy/dt

dx/dt = 5√5/2

Answer:

The answer is A.

Step by step explanation

x²-1

Where

Roots (-1,0) (1,0)

Domain x€R

Range f(x)€ [-1,+infinity]

Minimum (0,-1)

Vertical intercept (0,-1)

Answer:

1. 58 = 5x-2, 60 = 5x, x = 12

2. 134 = 16x+22, 112 = 16x, x = 7

3. 125 = 7x-1, 126 = 7x, x = 18

4. 133+9x+2 = 180, 9x=45, x=6

5. 8x-77 = 3x+38, 5x = 115, x=23

6. 11x-47 = 6x-2, 5x = 45, x=9

7. 13x-21 = 5x+75, 8x = 96, x=12

8. 5x+3+9x-33 = 180, 14x = 210, x=15

9. 8x-31 = 6x+3, 2x = 34, x=17

5y+35+6(17)+3 = 180, 5y = 40, y = 8

10. 29x-3+15x+7 = 180, 44x = 176, x=4

13y-17+15(4)+7 = 180, 13y = 130, y=10

1. x = 12

2. x = 7

3. x = 18

4. x = 5

5. x = 23

6. x = 9

7. x = 12

8. x = 15

9. x = 17; y = 8

10. x = 4; y = 10

To find the value of each missing variable(s), we would need to apply our knowledge of algebra. However, recall the following rules of angles in parallel lines:

Let's solve the given problems as shown below given that line l is parallel to line m:

1. [tex]58 = (5x - 2)[/tex] (corresponding angles)

solve for x

[tex]58 = 5x - 2\\58 + 2 = 5x - 2 +2[/tex] (addition property of equality)

[tex]60 = 5x \\\frac{60}{5} = \frac{5x}{5}[/tex](division property of equality)

[tex]12 = x\\x = 12[/tex]

2. [tex]134 = 16x+22[/tex] (alternate exterior angles)

[tex]\\134 - 22 = 16x +22-22[/tex] (subtraction property of equality)

[tex]134 - 22 = 16x +22-22\\112 = 16x\\\frac{112}{16} = \frac{16x}{16}[/tex](division property of equality)

[tex]7 = x\\x = 7[/tex]

3. [tex]7x - 1 = 125[/tex] (alternate angles)

[tex]7x - 1 + 1 = 125 + 1\\7x = 126\\\frac{7x}{7} = \frac{126}{7} \\x = 18[/tex]

4. [tex](9x+2) + 133 = 180[/tex] (same-side interior angles)

[tex]9x+2 + 133 = 180\\9x + 135 = 180\\9x + 135 - 135 = 180 - 135\\9x = 45\\\frac{9x}{9} = \frac{45}{9} \\x = 5[/tex]

5. [tex]3x+38 = 8x-77[/tex] (alternate exterior angles)

[tex]77 + 38 = 8x - 3x\\115 = 5x\\\frac{115}{5} = \frac{5x}{5} \\23 = x\\x = 23[/tex]

6. [tex]6x-2 = 11x-47[/tex] (corresponding angles)

[tex]6x-2 = 11x-47\\47 - 2 = 11x - 6x\\45 = 5x\\x = 9[/tex]

7. [tex]5x+75 = 13x - 21[/tex] (alternate angles)

[tex]5x+75 = 13x - 21\\21 + 75 = 13x - 5x\\96 = 8x\\12 = x\\x = 12[/tex]

8. [tex](5x+3)+(9x-33)= 180[/tex] (same-side interior angles)

[tex]5x+3+9x-33= 180\\14x - 30 = 180\\14x - 30 + 30 = 180 + 30\\14x = 210\\x = 15[/tex]

9. [tex]8x-31 = 6x+3[/tex] (alternate angles)

[tex]8x - 6x = 31 + 3\\2x = 34\\x = 17[/tex]

Solve for y

[tex](5y + 35) + (6x + 3) = 180[/tex] (same-side interior angles)

[tex]5y + 35 + 6x + 3 = 180\\[/tex]

Plug in the value of x

[tex]5y + 35 + 6(17) + 3 = 180\\5y + 35 + 102 + 3 = 180\\5y + 140 = 180\\5y = 180 - 140\\5y = 40\\y = 8[/tex]

10. [tex](29x-3)+(15x+7) = 180[/tex](supplementary angles)

Solve for y

[tex]13y - 17 = 29x - 3[/tex] (alternate exterior angles)

Plug in the value of x

[tex]13y - 17 = 29(4) - 3\\13y - 17 = 116 - 3\\13y - 17 = 113\\13y = 113 + 17\\13y = 130\\y = 10\\[/tex]

Learn more about parallel lines here:

https://brainly.com/question/16227989

Answer:

3

Step-by-step explanation:

multiplication rule of exponents is to multiply the bases (sq rt 3) and add the exponents

(sq rt 3)^2 = 3

add exponents and power of 1

Answer:

multiplying by 3

Step-by-step explanation:

20x3=60 60x3=80. and the rest is the same.

Answer:

y>=-4x+2

Step-by-step explanation:

Answer:

Greater than 2

Step-by-step explanation:

Have trust

Answer:

its d

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

The "quotient" is what you get after you divide 2 number, and in this case, you are dividing m/6.

Answer:

Step-by-step explanation:

Polynomial with a degree of 3 (due to 3 intersection points). Since the end of the graph is approaching positive infinity, we also know the equation of this graph has a positive coefficient.

(I don't know if you're in calculus yet, but...) We also know that there is a local min and local max, as well as inflection points as the graph changes concavity.

This is an example of a polynomial funciton because the graph of a polynomial function is a smooth continuous curve. Also, I had to graph a polynomial function in one of my past assignments, so I know its appearance.

Answer:

2.50

Step-by-step explanation:

Answer:

2.5 so $2.50 is your awnser

Answer:

Keith: 15, Carlos: 30, Yolanda: 23

Step-by-step explanation:

Let x be the amount of money Keith has. Then Yolanda has x+8 money and Carlos has 2x money. These all add up to 68.

x+(x+8)+2x=68

4x+8=68

4x=60

x=15

x represents how much money Keith has.

So Keith has 15 dollars, Carlos has 30 dollars, and Yolanda has 23 dollars.

Answer:

N(T(t)) = 24(8t + 3)² - 112(8t + 3) + 95 (this is can be the answer for the 1st cloumn since your teacher said "You do not need to simplify your answer)

N(T(5)) = 24(8(5) + 3)² - 112(8(5) + 3) + 95

N(T(t)) = 24(43)² - 112(43) + 95

N(T(t)) = 39 655

answe for 2nd coloumn

(5, 39655)

answer for 3rd coloumn

5 hours

answer for 4th col is

39,655 bacteria

Answer:

75/100

=15/20

3/4

The probability is3/4

Step-by-step explanation:

Answer:

3/4

Step-by-step explanation:

Hope this helped have an amazing day!

Answer:

x = 3

Work below

Step-by-step explanation:

5x + 12 = 27

-12. -12

5x = 15

/5 /5

x = 3

Hope this helps!!

Answer:

3

Step-by-step explanation:

5x+12=27

subtract 12 from 12 and 27 to cancel the 12 you wan your number that has a letter by its self 12-12=0 12-27=15 then you divide what ever number that has a number by whatever number your left with so 15/5=3

Answer: 3x+y=7  answer for that one is x=7/3-y/3

4x+2y=16 the answer for that is x=4-y/2

Step-by-step explanation:

Answer: B.Side side side similarity theorem

Step-by-step explanation:

Hope this helps <3

^^^^ B.Side side side similarity theorem is correct

i just took the test and it was right!

[tex]2x*(5x^{2} +17+10)[/tex] is the answer I think

Answer:

43.25

Step-by-step explanation:

Since sides DF and FE are congruent, their opposite angles D and E are also congruent.

m<D + m<E + m<F = 180

x + x + 93.5 = 180

2x = 86.5

x = 43.25

Answer: 43.25

Answer:

correct answer = 2.367x107

wrong answer =  2.387x107

to find difference do big-small

or 2.387x107-2.367x107= (2.387-2.367)x107= 0.02x107=2.14

Given:

Population is 2005 = 35,700

growth rate = 4% = 0.04

To find:

The population in 2030.

Solution:

The general exponential growth model is

[tex]y=a(1+r)^t[/tex]

where, a is initial value, r is growth rate and t is time in years.

Let the initial year is 2005. So, number of years between 2005 to 2030 is

[tex]2030-2005=25[/tex]

Putting a=35,700, r=0.04 and t=25 in the above model.

[tex]y=35,700(1+0.04)^{25}[/tex]

[tex]y=35,700(1.04)^{25}[/tex]

[tex]y=35,700(2.665836)[/tex]

[tex]y=95170.3452[/tex]

Approximate the value to the nearest whole number.

[tex]y\approx 95,170[/tex]

Therefore, population of the district will be about 95,170.

Amount in 2030 is $95,169

Given that:

Amount invested = $35,700

Growth rate = 4% = 0.04

Time invested = 2030 - 2005

Time invested = 25 year

Find:

Amount in 2030

Computation:

A = P[1+r]ⁿ

Amount in 2030 = 35700[1+0.04]²⁵

Amount in 2030 = 35700[1.04]²⁵

Amount in 2030 = 35700[2.6658]

Amount in 2030 = $95,169

Learn more:

https://brainly.com/question/24132206?referrer=searchResults

Answer: B. False.

They are in face Congruent! :)

Answer:

x<7

I Believe

Let's assume the sons age as x.

Age of the man is 2x

Five years ago,

The man's age=9x

The sons age=4x

Then find the equation.

hope it was helpful.

I am not solving all cuz that u understand how to frame a equation.

Answer:

I think it is b

Step-by-step explanation:

it is 3a times all of the numbers in parenthases

hope you pass your test

HAPPY NEW YEAR

Answer:

the answer is 15a+12ac+6ab

Step-by-step explanation:

3a(5+4c+2b)

(3a)(5+4c+2b)

(3a)(5)+(3a)(4c)+(3a)(2b)

15a+12ac+6ab

6ab+12ac+15a

hope this helps!