Exploring Diagonals of a Parallelogram

Puedes separar los grupos en:

los que solo toman clases de piano; p

los que solo toman clases de violin: v

los que toman clases de piano y violin; 5

A) para determinar cuántos estudiantes no toman ni piano ni violin, podemos hallar el número total de estudiantes que toman clases solo de piano y los que toman solo de violín y los que toman ambas clases, de la siguiente forma:

Estudian solo piano, p = 14 - 5= 9

Estudian solo violín, v = 29 - 5 = 24

Estudian ambos: 5

Total de estudiantes que toman clases de esos instrumentos : 9 + 24 + 5 = 38

Por tanto, hay 40 - 38 = 2 estudiantes que no toman clases de piano ni violín.

B) ¿cuántos estudiantes toman clases de piano o violín?

Son los que tocan solo piano, o solo violín o ambos y los  hallamos arriba:  9 + 24 + 5 = 38.

Respuesta: 38

C) ¿Cuántos estudiantes tocan solo violín?

También lo encontramos arriba: son 29 - 5 = 24

Respuesta: 24

Answer:

9 / 14 for a brown , 3 / 14 for a blue

Step-by-step explanation:

1) summarize all cards 9 (brown) + 2 (yellow) + 3 (blue)= 14 cards.

2) probability depends on how many cards of a particular color, how more cards, then more probability.  

3) 9 brown cards, so probability = 9 brown cards to divide all cards 14.  

Answer:

77,553,214.66666667

Step-by-step explanation:

calculater

Answer:

77553214 2/3

Step-by-step explanation:

i squeezed out the baby yet i have no idea who the father is

Answer:

To stay within budget, she must use 4.5 gigabytes.

Step-by-step explanation:

Giving the following information:

Under her cell phone plan, Sofia pays a flat cost of $58.50 per month and $4 per gigabyte. She wants to keep her bill at $76.50 per month.

First, we need to establish the total cost formula:

Total cost= 58.5 + 4*x

x= number of gigabytes

Now, we isolate x:

76.5= 58.5 + 4x

18/4= x

4.5= x

To stay within budget, she must use 4.5 gigabytes.

What is help needed on?

Answer: This is written in Expanded form.

Step-by-step explanation: The number is 6,915, to write a number in expanded form, write it's place values by the number it's in.

Ex: Expanded form of 5,731: 5,000 + 700 + 30 + 1

Answer:

=−14x+18

Step-by-step explanation:

happy to help ya :)

Answer:

112

Step-by-step explanation:

so you split the question by doing 18 - 2 then do 4 + 3 then you mutiply the answer

Answer: No, she is right

Step-by-step explanation:

[tex]\frac{2x^2+7x+3}{4x+12}[/tex]

Factor the trinomial, what two numbers multiply to equal 6 but add to equal 7. That is 6 and 1.

[tex]\frac{2x(x+3)+(x+3)}{4(x+3)}[/tex]

The (x+3) will cancel

[tex]\frac{2x+1}{4}[/tex]

Answer:

The plant grew [tex]12\frac{1}{14}[/tex] inches

Step-by-step explanation:

Operations with Fractions

Felipe planted seeds for a science project. One of the plants grew 6 2/7 inches in the first week and 5 11/14 inches in the second week.

We are required to find the total growth during the two weeks. We have to find the sum of:

[tex]6\frac{2}{7}+5\frac{11}{14}[/tex]

Let's convert both fractions to improper form:

[tex]6\frac{2}{7}+5\frac{11}{14}=6+\frac{2}{7}+5+\frac{11}{14}[/tex]

Adding the integers:

[tex]6\frac{2}{7}+5\frac{11}{14}=11+\frac{2}{7}+\frac{11}{14}[/tex]

Now we find the LCM of 7 and 14 is 14, thus:

[tex]6\frac{2}{7}+5\frac{11}{14}=11+\frac{4}{14}+\frac{11}{14}[/tex]

[tex]6\frac{2}{7}+5\frac{11}{14}=11+\frac{15}{14}=11+\frac{14+1}{14}[/tex]

[tex]6\frac{2}{7}+5\frac{11}{14}=11+1+\frac{1}{14}[/tex]

[tex]6\frac{2}{7}+5\frac{11}{14}=12+\frac{1}{14}[/tex]

Rewriting as a mixed number:

The plant grew [tex]12\frac{1}{14}[/tex] inches

Answer:

292.9

Step-by-step explanation:

Answer:

i dont know but my Friends do

Hey, did you get the expressions for both figure A and B? If so could you pls write them down below.

9514 1404 393

Answer:

  A.  x² -4

  B.  2x² +8

Step-by-step explanation:

The area of the larger square is the square of its side length, so is x².

A. The area of each of the smaller squares is 1² = 1. There are 4 of them, so their total area is 4×1 = 4. The shaded area is that much less than the area of the larger square, so is ...

  x² - 4

__

B. The smaller squares have side length 2, so their area is 2² = 4. There are two of them, so the total area of the smaller squares is 2×4 = 8.

The two large squares have a total area of ...

  2 · x² = 2x²

So, the total shaded area is ...

  2x² + 8

Answer:

Step-by-step explanation:

Shelter A has 500 beds and is 90% occupied.

Number of occupied beds:

The ratio of beds occupied in Shelter A to Shelter B is 15:16

Number of occupied beds in Shelter B is 480 which is 60% of total. Total number of beds is:

Answer:

Answer:there are 900 beds in shelter B

Step-by-step explanation:

Shelter A has a capacity of 300 beds and is 80% occupied. This means that the number of beds in Shelter A that would be

80/100 × 300 = 0.8 × 300 = 240 beds.

Let x represent the capacity of Shelter B. Shelter B is 45% occupied. It means that number of beds in Shelter B that would be occupied is

45/100 × x = 0.45 × x = 0.45x beds.

Total occupancy of shelter A and shelter B would be

240 + 0.45x

The ratio of the occupancy of shelter A to shelter B is 16:27

Total ratio of occupancy = 16 + 27 = 43

Therefore

27/43 × (240 + 0.45x) = 0.45x

27(240 + 0.45x) = 0.45x × 43 = 19.35x

6480 + 12.15x = 19.35x

6480 = 19.35x - 12.15x = 7.2x

x = 6480/7.2 = 900

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given the expression to calculate the radius r of the base of a cone is given by the equation

r=(3V/piH)

v is the volume = 5in^3

H = 4in

pi = 3.14

Substitute

r = 3(5)/3.14(4)

r = 15/12.56

r = 1.19

r = 1in to the nearest inch

Answer:

140 cm^2

Step-by-step explanation:

(5 apothems cut the pentagon into 5 rectangles 8 x 3.5)

3.5 x 8 x 5 = 140 cm^2

Answer:

he worked 40 hours on the the weekdays

Step-by-step explanation:

Answer:

0.30 of a book / hour or 3/10 of a book per hour.

Step-by-step explanation:

Usually I tell people to put the numbers into decimals. Unfortunately for this question, it won't work. So we have any choice but to do it with fractions.

r = amount / time

amount = 1/4

time = 5/6

r = [tex]\frac{\frac{1}{4} }{\frac{5}{6} }[/tex]

Invert the denominator and multiply

r = [tex]\frac{1}{4} * \frac{6}{5}[/tex]

r = 6 * 1 / (5*4) = 6/20 = 3/10

The answer is 3/10 of a book per hour

5/6 of an hour is almost an hour.

1/4 of a book is 0.25 of a book.

3/10 of a book is 0.30 of a book. So it looks like it is just about right.

AnswerWE  NEED MORE

Step-by-step explanation:

Answer:

2.1

Step-by-step explanation:

Find the number in the tenth place 1 and look one place to the right for the rounding digit 4. Round up if this number is greater than or equal to 5 and round down if it is less than 5.

Answer:

91.00

Step-by-step explanation:

I got you

Answer:

c

Step-by-step explanation:

Answer:it’s A

Step-by-step explanation:

Answer:-1 1/3 because 5 1/3+-4 1/6 is like subtracting them as a positive and you get 1 1/6 then subtract 2 1/2 to get -1 1/3

Step-by-step explanation:

Answer:

Z = 0.75x + 0.25y

Step-by-step explanation:

Two bear types are identified :

Black bears and Grizzly bears

9 out of 12 = black bears ; Hence, 3 are grizzled

For the model:

For a bear population of Number x

Total bear population = black bear, x + grizzled bear, y

Proportion of black bear = 9/ 12 = 0.75

Grizzled bear = 1 - 0.75 = 0.25

Total bear population , Z= 0.75x + 0.25y

Hence,

Z = 0.75x + 0.25y

Answer:

2199.11 (with pi)

2198 (with 3.14)

Step-by-step explanation:

A=2πrh+2πr²

A=2π(14)(11)+2π(14)²

A=2π(154)+2π(196)

A=2(483.56)+2(615.44)

A=967.12+1230.88

Answer:

1.284x + 2.24 is the answer.

Step-by-step explanation:

Simply, all we have to do is distribute the 0.4 to the 3.21x and the 5.6.

(0.4 × 3.21x) + (0.4 × 5.6)

= 1.284x + 2.24

#teamtrees #WAP (Water And Plant)

Answer: = 1.284x + 2.24

explanation: This question is easily solved through the process of distribution.

(0.4 × 3.21x) + (0.4 × 5.6) = 1.284x + 2.24

Sorry for the late answer hope this helped!

Answer:

#1 : x= -16.5

#2 : x= 3.6

#3 : x= -75

#4 : x= 10 1/3

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Hope it helps :)

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