Francis surveyed a random sample of 70 7070 students at Franklin High School about their favorite season. Of the students surveyed, 18 1818 chose fall as their favorite season. There are 1816 18161816 students at Franklin High School. Based on the data, what is the most reasonable estimate for the number of students at Franklin High School whose favorite season is fall? Choose 1 answer: Choose 1 answer:

9514 1404 393

Answer:

Step-by-step explanation:

Using the least common denominator, we have ...

  [tex]2-\dfrac{x+1}{x-2}-\dfrac{x-4}{x+2}\\\\=\dfrac{2(x-2)(x+2)-(x+1)(x+2)-(x-4)(x-2)}{(x-2)(x+2)}\\\\=\dfrac{2(x^2-4)-(x^2+3x+2)-(x^2-6x+8)}{x^2-4}\\\\=\dfrac{(2-1-1)x^2+(-3+6)x+(-8-2-8)}{x^2-4}=\boxed{\dfrac{3x-18}{x^2-4}}[/tex]

The values of a and b are ...

  a = 3

  b = -18

Answer:

Purchase rate of the house is $480000.

Step-by-step explanation:

Let the purchase rate of the house = $p

Current value of the house = $648000

If the current rate of the house has increased by 35% of the purchase rate,

Current rate = Purchase rate +  35% of the purchase rate

648000 = p + (35% of p)

648000 = p + [tex]p\times \frac{35}{100}[/tex]

648000 = p + 0.35p

648000 = (1.35)p

p = [tex]\frac{648000}{1.35}[/tex]

p = $480000

Therefore, purchase rate of the house is $480000.

Answer:

B

Step-by-step explanation:

mixed number: 300 1/2 (reduced or equivalent)

decimal: 300.5 (reduced or equivalent)

percentage: 30,050% (reduced or equivalent)

Give me brainllest

Answer:

300.5 or 300[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

Just divide.

Solution :

In the figure, the box plot represents the lengths of the songs of the two digital music players that is in minutes.

From the figure, we can see that for the music player Y, the interquartile range of the data is small.

And the interquartile range of data is more for the music player X.

So, we can conclude that the interquartile range of data is greater for Music player X than the interquartile range data of music player Y.

Answer:

$493.01

Step-by-step explanation:

463.28 + 28.35 + 78.88 - 77.50

Answer:

493.01

Step-by-step explanation:

463.28 + (28.35+78.88) = 570.51

Deposits means to add money.

570.51 - 77.50 = 493.01

Answer:

D) 11,13,22

Step-by-step explanation:

If 3y>27, then y>9. Therefore, D is the correct answer (C is not correct BTW because 9 isn't included in the inequality).

Answer:

1 ladrillo cuesta 1 dólar.    1 brick costs 1 dollars.

1 kg de cemento cuesta 3 dólares: 1 kg cement costs 3 dollars

1 kg de arena cuesta $ 16: 1 kg sand costs $ 16

Step-by-step explanation:

Spanish

Deje que los ladrillos, la arena y el cemento se denoten por b, sy c. Luego, de acuerdo con la condición dada

20b + 5s + 10c = $ 130 --- ecuación 1

1c = 3b ------ ecuación 2

1s = 4c + 4b ------ ecuación 3

Poniendo la ecuación 2 en la ecuación 3

1s = 4 (3b) + 4b

1s = 16b ---------- ecuación 4

20b + 5s + 10 (3b) = $ 130

50b + 5s = 130 --- ecuación 5

Poniendo la ecuación 4 en la ecuación 5

50 b + 5 (16b) = 130

50 b + 80b = 130

130 b = 130

b = 130/130 = $ 1 ------- ecuación a

1 ladrillo cuesta 1 dólar.

Poner el valor de costo de 1 ladrillo en estas ecuaciones

1c = 3b ------ ecuación 2

1s = 4c + 4b ------ ecuación 3

1c = 3 (1) = $ 3 -------- ecuación b

1 kg de cemento cuesta 3 dólares

1s = 4c + 4b

1 s = 4 (3) + 4 (1)

1 s = 12 + 4

1s = $ 16 ------ ecuación c

1 kg de arena cuesta $ 16

Poner valores de la ecuación a, b, c en la ecuación 1

20b + 5s + 10c = $ 130

20 (1) + 5 (16) + 10 (3) = 130

20 + 80 + 30 = 130

130 = 130 ------------ por lo tanto probado

English

Let the bricks , sand and cement be denoted by b, s and c. Then according to the given condition

20b+ 5s+ 10c= $130--- equation 1

1c= 3b------ equation 2

1s= 4c+4b------ equation 3

Putting equation 2 in equation 3

1s= 4(3b) + 4b

1s= 16b---------- equation 4

20b+ 5s+ 10(3b)= $130

50b + 5s= 130--- equation 5

Putting equation 4 in equation 5

50 b + 5 (16b) = 130

50 b+ 80b= 130

130 b= 130

b= 130/130= $1------- equation a

1 brick costs 1 dollars.

Putting the cost value of 1 brick in these equations

1c= 3b------ equation 2

1s= 4c+4b------ equation 3

1c= 3(1)= $3-------- equation b

1 kg cement costs 3 dollars

1s= 4c+4b

1s= 4(3) + 4(1)

1s= 12+4

1s= $16 ------ equation c

1 kg sand costs $ 16

Putting values from equation a, b, c in equation 1

20b+ 5s+ 10c= $130

20 (1) + 5 (16) + 10 (3)= 130

20 + 80 + 30 = 130

130 = 130   ------------ hence proved

Answer:

income statement

Step-by-step explanation:

There are 4 types of financial statements

The income statement records the net profit or loss of company in a particular period. it records the revenues and expenses.

the balance sheet contains information about the asset, liabilities and equity of a company

the statement of cash flows records the inflow and outflow of cash in an organisation

the statement of changes in equity records changes in equity

Answer:

2 and 3

Step-by-step explanation:

30 is 20% of 150

I hope this helps

Have a great day

Answer:

Step-by-step explanation:

-1/2(10 + 1/4)​

10+1/4 = 41/4

Since the denominator is 4, you multiply 10 by 4 to make it equivalent since 10 is a whole number and 1/4 is a fraction

-1/2(10.25)= -41/8 or 5.125

Answer:

tangent

Step-by-step explanation:

SOH( sin = opposite/hypotenuse)

CAH(cosine = adjacent/hypotenuse)

TOA(tan = opposite/adjacent)

you are trying to find x and the numbers given to you are  opposite of x and adjacent to x. that means you need to use toa

We will use Tangent of the angle.

In trigonometry, the tangent of an angle is the ratio of the length of the opposite side to the length of the adjacent side.

Given that, a right triangle, with perpendicular = x and an acute angle = 28° and base = 14

Since, we know that, tan α = opposite side / adjacent side

In other two trigonometric ratios, we need the length of hypotenuse, which is not given.

Hence, We will use the Tangent of the angle.

Learn more about tangent, click;

https://brainly.com/question/19064965

#SPJ2

Answer:

21

Step-by-step explanation:

: P

Answer:

21

Step-by-step explanation:

umm that's kindergarten math-

Answer:

La variación de temperatura en el día es 9°C.

Step-by-step explanation:

Cuando tenemos dos valores, uno máximo M y uno mínimo m, la variación entre esos valores es la diferencia (la resta) entre el valor máximo M y el valor mínimo m

variación = M - m

En este caso sabemos que la temperatura mínima es -2°C

La temperatura máxima es 7°C

La variación sera entonces:

Variación = 7°C - (-2°C)

Recordar la regla de los signos:

(-)*(-) = (+)

Entonces:

Variación = 7°C - (-2°C) = 7°C + 2°C = 9°C

La variación de temperatura en el día es 9°C.

Answer:

ENGLISH

One of the angles must equal 90 degrees and the other two angles must add up to 90 degrees.

SPANISH TRANSLATION

Uno de los ángulos debe ser igual a 90 grados y los otros dos ángulos deben sumar 90 grados.

9514 1404 393

Answer:

  linear

Step-by-step explanation:

We notice that adjacent x-values all differ by 1.

Similarly, we notice that all y-values differ by 0.5. When differences are constant, the function is linear.

Answer:

10 feet

Step-by-step explanation:

a^2+b^2=c^2

15^2+B^2=365

225+b^2=365

b^2=100

b=10

Answer:

-9n - 3

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

Answer:

73.5

Step-by-step explanation:

Part/whole=percent/100

?/500=2.1%/100

500 divided by 100 is 5, so 2.1% times 5 is 10.5, which is the amount of interest made per year.

So, 10.5 times 7 is 73.5

Answer:

5 and 7

Step-by-step explanation:

Answer:

59.0

Step-by-step explanation:

c=31

b=90

90+31=121

180-121=59

56 rounded to the nearest 3 sf=59.0

please mark as brainliest if correct

thank you

Answer:

12.333 m

Step-by-step explanation:

The ratio x/BC is the tangent of angle theta:

 7.4

-------- = tan theta = 0.6

 BC

                                                                         7.4

Interchanging 0.6 and BC, we get    BC =  ------------ = 12.333 m

                                                                          0.6

Answer:

1.48

Step-by-step explanation:

Formula:

degrees × (π)/180

85 × (π)/180

85π/180

17/36π

1.483

Rounded to nudredths: 1.48

Answer:

1.48

Step-by-step explanation:

Step-by-step explanation:

I dont know how to do this sorry

Answer:

i think it's 15%

Step-by-step explanation:

Answer:

B. Distribute

Step-by-step explanation:

The first step is to apply the distributive property.

Please let me know if I was correct

Step-by-step explanation:

Mam nice drawing at your backside Mam nice drawing at your backside