In an election, about 500,000 people voted in all. What could be the exact number of people who voted in the election

One US dollar is currently worth 0.79 euro (€). If you exchange $522 for euros, how many euros will you have?

Alecsey [184]

it should be 412.38 but thats what i got on my math

5 0

2 years ago

The school jazz band consists of 2 male percussionists, 2 female percussionists, 3 male woodwinds, 2 female woodwinds, 4 male br

dusya [7]

Answer:

$\frac{1}{8}$ chance or 12.5% chance

Step-by-step explanation:

2 male percussionists

2 female percussionists

3 male woodwinds

2 female woodwinds

4 male brass players

3 female brass players

We're looking for a female woodwind. Now there is only 2 of them so we get the female woodwinds out of all the jazz band members or $\frac{2}{16}$ or $\frac{1}{8}$ or 12.5% chance.

6 0

2 years ago

The back of Monique’s property is a creek. Monique would like to enclose a rectangular area, using the creek as one side and fen

gogolik [260]

Answer:

4050 sq. feet.

Step-by-step explanation:

Fencing is done on three sides of the rectangular area.

Given that there are 180 feet of fence available.

Then 2L + W = 180 ........(1), where L = length and W = width, of the rectangular plot.

Now, the area of the plot is given by A = LW

Now, from equation (1), we ger A = L (180 - 2L) ..... (2)

Then differentiating with respect to L in the both sides we get,

$\frac{dA}{dL} = 180 - 4L =0$ {Since condition for Area to be maximum is $\frac{dA}{dL}=0$ }

⇒ L = 45 feet.

Now, from equation (2), we have $A_{max} =L(180-2L) = 45(180 - 90) =4050$ square feet.

3 0

2 years ago

Marlene rides her bike at a rate of 16 miles per hour. The time in hours that she rides is represented by the variable t, and th

White raven [17]

Let

t--------> the time in hours

d-------> the distance in miles

we know that

$d=16t$

this is a linear equation that represent the scenario

in this equation the independent variable is the time t and the dependent variable is the distance d

The distance's equation in function notation is equal to

$f(t)=16t$

Using a graph tool

see the attached figure

The domain of the function is the interval----------> [0,∞)

$t\geq0$

The range of the function is the interval-------> [0,∞)

$f(t)\geq0$

Statements

a) The independent variable, the input, is the variable d, representing distance

The statement is false

Because the independent variable is the variable t

b) The distance traveled depends on the amount of time Marlene rides her bike

The statement is true

Because the distance's equation in function notation is equal to

$f(t)=16t$

c) The initial value of the scenario is 16 miles per hour

The statement is false

Because $16$ represent the rate or the slope of the linear equation

d) The equation t = d + 16 represents the scenario

The statement is false

Because, the scenario is represented by the function $f(t)=16t$

e) The function f(t) = 16t represents the scenario

The statement is true

8 0

2 years ago

Read 2 more answers

Prove that a line that divides two sides of a triangle proportionally is parallel to the third side. Be sure to create and name

sattari [20]

Answer:

Given: A triangle ABC and a line DE parallel to BC.

To prove: A line parallel to one side of a triangle divides the other two sides proportionally.

Proof: Consider ΔABC and DE be the line parallel to Bc, then from ΔABC and ΔADE, we have

∠A=∠A (Common)

∠ADE=∠ABC (Corresponding angles)

Thus, by AA similarity, ΔABC is similar to ΔADE, therefore

AB/AD= AC/AE

⇒AD+DB/AD = AE+EC/AE

⇒1+DB/AD = 1+ EC/AE

⇒DB/AD = EC/AE

Therefore, a line parallel to one side of a triangle divides the other two sides proportionally.

⇒Therefore Proved

Hope this helps!!!

3 0

2 years ago