Which equation is an identity?

The Party Room at Penny's Pizza rents for an initial fee of $30 and then $5 per hour. Aislyn's bill for her Birthday party was $

Annette [7]

Initial fee- $30
$5 per hour
=$50

$5* 4(hours)=$20
$30+$20=$50

4 0

3 years ago

Read 2 more answers

Which of the following expressions has more than one term? (1 point)

IceJOKER [234]

'dz' because d and z are different values.

6 0

3 years ago

Read 2 more answers

324 ft

kotegsom [21]

The distance between the flagpole and the building is the number of feet between them

The building is 162 feet from the flagpole

<h3>How to determine the distance</h3>

The given parameters are:

Flagpole = 40 feet
Building Shadow = 324 feet

The flagpole's shadow is 50% longer than the flagpole.

So, the length (l) of the flagpole's shadow is:

$l = 40 * (1 + 50\%)$

$l = 60$

The length of the building's shadow (d) is then calculated as:

$60 : 40 =d : 324$

Express as fraction

$\frac{60}{40}= \frac{d}{324}$

$1.50 = \frac{d}{324}$

Solve for d

$d = 1.50 * 324$

$d = 486$

The distance (x) of the building from the flagpole is then calculated as:

$x = 486 - 324$

$x = 162$

Hence, the building is 162 feet from the flagpole

Read more about distance and bearing at:

brainly.com/question/11744248

7 0

2 years ago

anna, becky, christina, debbie, and esther are the five candidates for student representative for the school board. two students

Flauer [41]

Probability that he will choose debbie and esther as the two representatives is 1/20 .

<h3>What is the meaning of Probability ?</h3>

Probability is the stream in mathematics in which likeliness of an event to happen is studied.

The range of probability lies between 0 to 1 , where 0 indicates uncertainty and 1 indicates certainty.

It is given that anna, becky, christina, debbie, and esther are the five candidates for student representative for the school board.

two students will be selected, and they will alternate attending the school board meetings.

all five students are equally well qualified, so the school superintendent decides to draw names at random.

probability he will choose debbie and esther as the two representatives = ?

Probability of chosing debbie is 1/5

Probability of choosing Esther is also 1/5

Either of them if chosen first the probability is 1/5

and the either of them chosen second the probability is 1/4

Probability that he will choose debbie and esther as the two representatives = (1/5)*(1/4) = 1/20 .

To know more about Probability

brainly.com/question/11234923

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6 0

2 years ago

Find m<AED<br> help me with this hurry!!!

Nataly_w [17]

First lets find the value of x. We can do this by making m∠AEB and m∠DEC equal to each other in an equation because they are vertical angles (vertical angles are equal to each other).

Your equation should look like this: m∠AEB = m∠DEC

Plug in the values of m∠AEB and m∠DEC into the equation. Now your equation should look like this:

(3x + 21) = (2x + 26)

Subtract 2x from both sides.

x + 21 = 26

Subtract 21 from both sides.

x = 5

Now plug 5 for x in either ∠AEB or ∠DEC; I will plug it into ∠AEB.

m∠AEB = 3(5) + 21

15 + 21 = 36

m∠AEB = 36°, now since ∠AEB and ∠AED are forming a straight line, this means they are supplementary so they must add up to 180 degrees.

Make m∠AEB and m∠AED add up to 180 in an equation and solve for m∠AED.

36 + m∠AED = 180

Subtract 36 from both sides.

m∠AED = 144°

4 0

3 years ago