Members of alachua district choir were given the choice between romanticism or gothic style singing which style they preferred sing for the state competition

Answer:

C

Step-by-step explanation:

r = 1/15

a branliest from the answer will be appreciated

Step-by-step explanation:

1/x-9= 6

cross multiply

1= 6×{x-9}

1= 6x - 54

collect like terms

1+54= 6x

55= 6x

x= 55/6 or 9.1667

Answer:

2100

Step-by-step explanation:

60%=0.6

35%=0.35

0.6*0.35=0.21

0.21*10000=2100

Answer: 1¼ pounds

Step-by-step explanation:

Since 20 pounds of beans are distributed equally into 16 bags to give out at the food bank, the amount of pounds of beans that are in each bag will be gotten by dividing 20 by 16 which will be:

= 20 pounds / 16

= 1¼ pounds

Therefore, there are 1¼ pounds of beans in each bag.

Answer:

Rectangle 11.59 sqft

Rectangle 36 sqft

Polygon 47.59 sqft

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

Use the slope formula when given two points

Slope formula = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

( the x and y values are determined by the given points )

Given the points ( 0 , 5 ) and ( 1 , 3 )

Plug in the x and y values of the given points into the formula

( remember y values on top x values on bottom )

[tex]slope=\frac{5-3}{0-1} \\5-3=2\\0-1=-1\\slope=\frac{2}{-1} =-2[/tex]

Hence, the answer is D

Answer:

a) hundreds

b) tens

c) hundreds

d) hundreds

Answer:

This is easy!!

Step-by-step explanation:

1. hundreds

2. tens

3. hundreds

4. hundreds

Hope this Helps!!

Answer:

thats right.

Step-by-step explanation:

the first place after the decimal is tenths, second, hundredths, third thousands, and so on

Answer:

B. +3 - 1 + 5 - 4

Step-by-step explanation:

The plus means going up and the negative means you are going down.

You are going up 3 floors (+3)

You are going down 1 floor ( -1)

You are going up 5 floors (+5)

You are going down 4 floors (-4)

Let me know if this helps!

Answer:

4

Step-by-step explanation:

2 ÷ 1/2 = 4

Answer:

Step-by-step explanation:

How many meters are equal to 4,581 centimeters?

100cm = 1m

4581 cm = x

Use how the placement of the decimal point changes when dividing by a power of 10 to help you

Answer:

there is none

Step-by-step explanation:

Answer:

(c)

Step-by-step explanation:

Given

See attachment for A and B

Required

Compare A and B

First, we get the initial population of A and B.

The initial population is at when [tex]t =0[/tex]

From the table of bacteria A, we have:

[tex]Initial = 100[/tex] when [tex]t = 0[/tex]

From the graph of bacteria B, we have:

[tex]Initial = 75[/tex] when [tex]t = 0[/tex]

Since the initial of bacteria B is less than that of bacteria A, then (a) is incorrect.

Next, calculate the slope of A and B i.e. the rate

Slope (m) is calculated as:

[tex]m = \frac{y_2 - y_1}{t_2 - t_1}[/tex]

Where

y = Number of bacteria

t = time

For bacteria A:

[tex](t_1,y_1) = (0,100)[/tex]

[tex](t_2,y_2) = (2,140)[/tex]

So, the slope is:

[tex]m_A = \frac{140 - 100}{2 - 0}[/tex]

[tex]m_A = \frac{40}{2}[/tex]

[tex]m_A = 20[/tex]

For bacteria B:

[tex](t_1,y_1) = (0,75)[/tex]

[tex](t_2,y_2) = (1,100)[/tex]

So, the slope is:

[tex]m_B = \frac{100- 75}{1 - 0}[/tex]

[tex]m_B = \frac{25}{1 }[/tex]

[tex]m_B = 25[/tex]

Since [tex]m_B > m_A[/tex], then the rate of bacteria B is greater than that of bacteria A.

Hence, (d) cannot be true

Next, we determine the equation of both bacteria

This is calculated using:

[tex]y = m(t - t_1) + y_1[/tex]

For bacteria A, we have:

[tex]y = m_A(t - t_1) + y_1[/tex]

Where:

[tex](t_1,y_1) = (0,100)[/tex]

[tex]m_A = 20[/tex]

So:

[tex]y = 20(t - 0) +100[/tex]

[tex]y = 20(t) +100[/tex]

[tex]y = 20t +100[/tex]

For bacteria B, we have:

[tex]y = m_B(t - t_1) + y_1[/tex]

Where:

[tex](t_1,y_1) = (0,75)[/tex]

[tex]m_B = 25[/tex]

So:

[tex]y = 25(t - 0) + 75[/tex]

[tex]y = 25(t) + 75[/tex]

[tex]y = 25t + 75[/tex]

At 3 hours, the population of bacteria A is:

[tex]y = 20t +100[/tex]

[tex]y = 20* 3 + 100[/tex]

[tex]y = 60 + 100[/tex]

[tex]y = 160[/tex]

At 3 hours, the population of bacteria B is:

[tex]y = 25t + 75[/tex]

[tex]y=25 * 3 + 75[/tex]

[tex]y=75 + 75[/tex]

[tex]y=150[/tex]

After 3 hours, bacteria B is 150 while A is 160.

This implies that (c) is correct because the population of B is less than that of A, at 3 hour

Lastly, to check if they will ever have equal population or not, we simply equate both equations.

So, we have:

[tex]y = y[/tex]

[tex]25t + 75 =20t + 100[/tex]

Collect like terms

[tex]25t - 20t = 100 - 75[/tex]

[tex]5t = 25[/tex]

Solve for t

[tex]t = 25/5[/tex]

[tex]t = 5[/tex]

They will have equal population at 5 hours.

Hence, b is incorrect

From the above computation, only (c) is correct

example: Two polygons are congruent if they are the same size and shape - that is, if their corresponding angles and sides are equal.

Answer:

Two polygons are congruent if they are the same size and shape - that is, if their corresponding angles and sides are equal. Move your mouse cursor over the parts of each figure on the left to see the corresponding parts of the congruent figure on the right.

Step-by-step explanation:

Answer:

i think its X=108

Step-by-step explanation:

Answer:

x=118°

Step-by-step explanation:

a straight line is 180°

therefore 180-62=x

Answer:

George, Marie, James

Step-by-step explanation:

Thats it

Answer:

length= 6x

width= x

AREA= 135

solution

AREA = length times width

135 = 6x multiplied by x

135=6x^2

x^2 as subject of formula

x^2=135/6

x^2=22.5

square root both sides

x=4.74

width = 4.74

Answer:

9

Step-by-step explanation:

Answer:

x=6+2√3 or x=6−2√3

Step-by-step explanation:

Let's solve your equation step-by-step by using completing the square.    

5x^2−57x=3x−120

Step 1: Subtract 3x from both sides.

5x^2−57x−3x=3x−120−3x

5x^2−60x=−120

Step 2: Since the coefficient of 5x^2 is 5, divide both sides by 5.

5x2−60x/5 = −120 /5

x2−12x=−24

Step 3: The coefficient of -12x is -12. Let b=-12.

Then we need to add (b/2)^2=36 to both sides to complete the square.

Add 36 to both sides.

x2−12x+36=−24+36

x2−12x+36=12

Step 4: Factor left side.

(x−6)2=12

Step 5: Take square root.

x−6=±√12

Step 6: Add 6 to both sides.

x−6+6=6±√12

x=6±√12

x=6+2√3 or x=6−2√3

[tex] - \frac{4 {m}^{2} }{1 + {m}^{4} + {m}^{8} } [/tex]

is your answer

Answer:

jshdgdhdhdhdhdhdhd English project work

Answer: 5√2

Step-by-step explanation:√50--->√2*√25

√25--->5

5*√2=5√2

Answer:

Time = period of loan

Interest amount = $15

Interest rate = 10%

Step-by-step explanation:

Given:

Charge on loan = interest = $15

Interest rate on loan = 10%

Loan period = 2 weeks

The interest formula is given by the relation :

Interest = Principal * rate * time

Using the interest equation given :

The known variables Given in the question are :

Time = period of loan

Interest amount = $15

Interest rate = 10%

Answer:

C

Step-by-step explanation:

sin = 5/13

cos = 12/13

tan = 5/12

Answer:

50degrees

Step-by-step explanation:

The sum of angle in the triangle XYZ is 180degrees, hence;

<X + <Y + <Z = 180

Given

m<X = 80degree

m<Y = m<Z

Required

m<Z

Substitute the given angle

80 + m<Z + m<Z = 180

80 + 2m<Z = 180

2m<Z = 180 - 80

2m<Z = 100

m<Z = 100/2

m<Z = 50degrees

Hence the measure of angle Z is 50degrees

Answer:

I Believe it's D

Step-by-step explanation:

Answer:

$0.21

Step-by-step explanation:

So, first let's find the cost of a single cup.

16/13.60 = 1/0.85

Now, we know that each cup is approximately $0.85. Next, we must convert cups into quarts. 1 cup = 0.25 quarts.

1/0.85 = 0.25/0.21

Answer:

cos(2x)

Step-by-step explanation:

The simplified expression is

How to evaluate trigonometric expression?

A Trigonometric expression consists of sin, cos and various other parameters which can be simplified using identities.

Given expression:

cos(x){cos(x)-tan(x)sin(x)}

Evaluation:

[tex]cos(x)(cos(x)-\dfrac{ sin(x)*sin(x)}{cos(x)})[/tex]

[tex]cos(x)(\frac{cos^{2} x-sin^{2}x}{cos(x)} )[/tex]

[tex]cos^{2}x-sin^{2}x[/tex]

[tex]cos2x[/tex]

Therefore, the given expression simplifies to cos2x.

To know more about trigonometric expressions refer:https://brainly.com/question/12542599

#SPJ2

Answer:

The oil needed is 0.51.

Step-by-step explanation:

Since you know that the gas to oil ratio is 50:1 and you have to find the oil needed for 25.5L of gas, you can write the numbers in the ratio as a fraction and let's consider that x is the amount of oil needed:

[tex]\frac{50}{1} = \frac{25.5}{x}[/tex]

Now, you have to solve this using cross multiplication:

50*x=25.5*1

50x=25.5

Finally, your have to isolate the variable x:

x=25.5/50

x=0.51

According to this, the answer is that the oil needed is 0.51.