En un colegio hay 627 alumnos y sabemos que hay el doble de chicas que de chicos. De las chicas, a todas menos a 15, les gustan mucho las matemáticas. ¿Cuántas chicas disfrutan con las matemáticas en este colegio?

Answers

Answer 1

Answer:

Hay 403 chicas que disfrutan las matemáticas en este colegio.

Step-by-step explanation:

Podemos obtener las siguientes pistas tras una lectura cuidadosa del enunciado:

1) Existen 627 alumnos entre hombres y mujeres en el colegio.

2) La cantidad de chicas es el duplo de la cantidad de chicos.

3) Solo a 15 chicas les disgusta las matemáticas.

Matemáticamente hablando, podemos construir las siguientes tres fórmulas:

[tex]x+y = 627[/tex] (1)

[tex]y = 2\cdot x[/tex] (2)

[tex]m = y - 15[/tex] (3)

Donde:

[tex]x[/tex] - Cantidad de chicos en el colegio, adimensional.

[tex]y[/tex] - Cantidad de chicas en el colegio, adimensional.

[tex]m[/tex] - Cantidad de chicas que disfrutan de las matemáticas en el colegio, adimensional.

Al eliminarse [tex]y[/tex] en (1), se puede hallar la cantidad de chicos en el colegio:

[tex]x + 2\cdot x = 627[/tex]

[tex]3\cdot x = 627[/tex]

[tex]x = 209[/tex]

Hay 209 chicos en el colegio.

Por (2) podemos determinar la cantidad de chicas:

[tex]y = 2\cdot (209)[/tex]

[tex]y = 418[/tex]

Hay 418 chicas en el colegio.

Finalmente, se calcula la cantidad de chicas del colegio que disfrutan las matemáticas por (3):

[tex]m = 418-15[/tex]

[tex]m = 403[/tex]

Hay 403 chicas que disfrutan las matemáticas en este colegio.


Related Questions

The volume of a right rectangular solid is 384 ft3. Find the height of the solid, if the length is 3 times the width, and the height is twice the perimeter of the base.

Answers

Answer:

height is 32 ft

Step-by-step explanation:

384 = LWH?

(3W) (W) (H) = (3 x 2) (2) (16 x 2) = (6) (2) (32) = (12) (32) = 384 cubic ft

Must show all work for 15 points

Answers

Answer:

Hey there!

a)

10x-1=4x+2

6x-1=2

6x=3

x=1/2 cm.

10x-1=4 cm.

So the width of the rectangle is 10/4, or 2.5 cm.

b)

l=3w

2l+2w=24

2(3w)+2w=24

6w+2w=24

8w=24

w=3

l=9

The are is 27 units squared.

Let me know if this helps :)

Consider the Conditional Statement shown.
If a student plays the trumpet, then the student is in the school band.
Which is a counterexample to this Conditional Statement.
A student can play the trumpet, but not be in the school band
O A student can be in the band, but not play the trumpet
O A student may play the trumpet and still be in the school band
A student may not be in the band and not play the trumpet

Answers

Answer:

  A student can play the trumpet, but not be in the school band

Step-by-step explanation:

A counterexample would prove the conditional false. That will be the case when the condition is met, but the conclusion is wrong. Such a case is ...

  A student can play the trumpet, but not be in the school band

How I can solve this quadratic equation using the quadratic formula? x2 + 4x = 5.

Answers

Answer:

Step-by-step explanation:

x^2 + 4x - 5 = 0

-4/2 + (sqrt(16 - 4(1)(-5)))/2

-2 + (sqrt(16+20)/2

-2 + (sqrt(36)/2

-2 + 6/2

-2 + 3

-2 + 3 = 1

-2 - 3 = -5

Create a problem with at least 6 terms(numbers) that
would equal to -10. Try to create something different
than what others have created.

Answers

Answer:7+3=10 4+6=10 2+8=10 12-2=10 14-4=10 20-10=10 10+0=10

Step-by-step explanation:

it’s equals 10 it’s the shorter answer

hat is the value of x in the equation 4 x plus 8 y equals 40, when y equals 0.8? 4.6 8.4 10 12

Answers

Step-by-step explanation:

4x + 8y = 40

4x + (8×0.8) = 40

4x + 6.4 = 40

4x = 33.6

4x÷4 = 33.6 ÷ 4

x = 8.4

Answer:

8.4

Step-by-step explanation:

:D

Evaluate a−b+3c when .a=4, b=−2, and c=3. a−b+3c =4−( )+3∙ =4+ + =

Answers

Answer:

15

Step-by-step explanation:

4-(-2)+3(3)

4+2+9

15

Steps to solve:

a - b + 3c; a = 4, b = -2, c = 3

~Substitute

4 - (-2) + 3(3)

~Simplify

4 + 2 + 9

~Add

6 + 9

~Add

15

Best of Luck!

1. Simplity the following into lowest term
3x - 2 - 2x​

Answers

The answer is X-2 ........

Answer:

x-2

best of luck!

A graph of the Soaring Cupcake’s cost per cupcake is shown below. The graph shows a relationship between the number of cupcakes purchased, n, and the total cost of the order, t. The Soaring Cupcake charges a $15 initial fee and then $3.00 for every cupcake purchased. What is the total cost for 15 cupcakes? What is the total cost for 10 cupcakes? How many cupcakes can you order for $30? Write a function rule in function notation for the situation using the variables t and n: A.) Does an input value of 4 make sense for this situation, why? B.) Does an input value of 5.2 make sense for this situation, why?

Answers

Answer:

1) $60

2) $45

3) 5 cupcakes ;; function for situation is 30(n)=3n+15

3A) No

3B) No

Step-by-step explanation:

the function is f(x)=3x+15 where x= cupcakes

To find total cost for 15 cupcakes, simply look at the graph or if you don't trust your eyeballing skills, you would calculate it by:

f(15)=3x+15 meaning plug 15 into the equation which equal $60

same for 10 cupcakes

f(10)=3(x)+15 equals $45

# of cupcake order for $30

using the graph we can see that for $30 we can purchase 5 cupcakes

the function for the situation is 30(n)=3n+15

A) No it would not make sense because after substituting 4 for the n, it does not equal to 30

B) Yes it would make sense because substituting 5.2 for n, it equal to $30.6 or $30

How would you go about simplifying 5,759 over 999?

Answers

Answer:

it can't be simplified.

Step-by-step explanation:

U can’t simplify it so yea

can someone please simply teach me what mean, median, and mode is pls pls pls

Answers

Mean is when you sum up all the numbers in a data set and divide that sum with the total amount of numbers in the data set.

Median is the middle number of a data set.

Mode is the number that shows up the most in a data set.

Best of Luck!

Answer:

The mean is the average of a data set. The mode is the most common number in a data set. The median is the middle of the set of numbers.

Step-by-step explanation:

i hope you get it.

In order to get a grade of a 2 on your objective summary, what must you include
?

Answers

The answer will need to be 1 because 1/2 will equal 2

Tai’s baby brother weighs 3,745 grams. What is his weight in kilograms? A. 0.3745 kg B. 3.745 kg C. 37.45 kg D. 374.5 kg

Answers

Answer:

My answer to the question is 3.745kg.

Option B

The required weight of Tai's baby brother weighs 3,745 grams in kilograms is 3.745 kg. Option B is correct.

Given that,
Tai’s baby brother weighs 3,745 grams. What is his weight in kilograms is to be determined.

What is a kilogram?

A kilogram is the standard unit of measurement of weight.

What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,

Here,
1 kilogram = 1000 gram
1 gram = 1 / 1000 kilogram
Multiply both side by 3,745
3,745 gram = 3,745 / 1000 kilogram
3,745 gram = 3.745 kilogram

Thus, the required weight of Tai's baby brother weighs 3,745 grams in kilograms is 3.745 kg. Option B is correct.

Learn more about arithmetic here:

brainly.com/question/14753192

#SPJ2



Maria earns $80 per day working at a gas station. Write an algebraic expression to represent the amount of money she will earn in d days.

Answers

Answer:

The algebraic expression is 80d

Step-by-step explanation:

Maria's earnings per day = $80

Number of days= d

Total earnings for d days:

80d

Where,

80 is earnings per day

d is number of days

The algebraic expression is 80d

Algebraic equation is

y= 80d

Where

y= total income earned in d days

The expression is different from am equation because of the equal to sign(=)

Tickets to the movies are $7 for adults and $4 for children. If 272 tickets
sold $1694, then how many of each type were sold?

Answers

Answer:

202 tickets for adults were sold and 70 tickets for children are sold.

Step-by-step explanation:

Solve this question using simultaneous linear equation.

•Let the number of tickets sold for adults be a

•Let the number of tickets sold for children be b

The question stated that 272 tickets were sold altogether. So:

[tex]a + b = 272[/tex]

Now, make sure that only one of the unknown values remain on the left hand side. For example:

[tex]a = 272 - b[/tex]

I will refer to the above equation as equation 1.

Now, the question also stated that the tickets sold $1694. This means that:

[tex]7a + 4b = 1694[/tex]

I will refer to this equation as equation 2.

Now, substitute equation 1 into equation 2 by replacing the a in equation 2 with the values on the right hand side in equation 1. For example:

[tex]7(272 - b) + 4b = 1694[/tex]

Then just solve the equation by finding the value of b.

[tex]7(272 - b) + 4b = 1694 \\ 1904 - 7b + 4b = 1694 \\ 1904 - 3b = 1694 \\ 1904 - 1694 = 3b \\ 210 = 3b \\ b = 210 \div 3 \\ = 70[/tex]

Lastly, find the value of a. Just take the value of b and then substitute into equation 1.

[tex]a = 272 - b \\ = 272 - 70 \\ a = 202[/tex]

A building contractor estimated the cost of construction on a house would be between
$235.000 and $297,000. He has already spent $164,000. How much more can he spend
and remain within his budget?
Help please

Answers

Answer:

  $133,000

Step-by-step explanation:

The upper end of the contractor's budget is $297,000. If he has already spent $164,000, he can spend as much as ...

  $297,000 -164,000 = $133,000

without exceeding his budget.

He can spend $133,000 more and remain within budget.

__

Additional comment

Of course, he'd like to come in at the low end of the cost range, so would be very happy to spend only $71,000 more.

what is the additive of p when p = -19.57​

Answers

The additive inverse of a number is just the opposite of the given number. For example; 2 and the additive inverse is -2.

If we apply this to the number we are given, we get 19.57

Best of Luck!

Lani’s father is paying for a $20 meal. He has a 15%-off coupon for the meal. After the discount, a 7% sales tax is applied to the discounted price. What does Lani’s father pay for the meal? $_________

Answers

Answer: 18.19$

Explanation:

20$ x 15/100 = 3$ = discount price

20$ - 3$ = 17$ = discounted price

But 7% sales tax is added to the discounted price.

17 x 7/100 = 1.19$

17$ + 1.19$ = 18.19$ = price for the meal

Answer:

18.19

Step-by-step explanation: hope this helps

True or False: If your expression contains more than one set of parentheses, you should evaluate all of them before doing anything else.

Answers

I believe this is true if you follow PEMDAZ

h -7/J = k solve for J

Answers

Answer:

see I need help for chemistry pls anyone here helps me I must submit before 10:30

6x + 2y = 18 -4x - 2y = -6

Answers

Answer:

x=6, y = -9

Step-by-step explanation:

6x + 2y = 18

-4x - 2y = -6

Add the two equations together to eliminate y

6x + 2y = 18

-4x - 2y = -6

------------------------

2x +0y = 12

Divide by 2

2x/2 = 12/2

x = 6

Then find y

6x+2y = 18

6*6 +2y = 18

36+2y = 18

Subtract  36 from each side

36+2y-36 = 18-6

2y = -18

Divide by 2

2y/2 = -18/2

y = -9

X=6 y=9
Because you need to place both equation over each other and choose to solve for x or y

HELLPPPPPPP ASAPPPP PLEASEEEE

Answers

Answer:

2. f(-7)= -3(-7)-2

     21-2

      =19

10. h(1)= | 1-7(1) |

     |-6|

     =6

11. h(-7) =|1-7(-7)|

    |1-49|

     |-48|

     =48

12. [23-h(9) =|1-7(-9)|]

      h(9) =|1-7(9)|

      |-62|

         23-62

              =39

Step-by-step explanation:

3(x−2)=9 :solve for x?

Answers

Answer:

x=5

Step-by-step explanation:

3(x−2)=9

Divide both sides by 3.

x-2=9/3

Divide 9 by 3 to get 3.

x−2=3

Add 2 to both sides.

x=3+2

Add 3 and 2 to get 5.

x=5

Answer:

5

Step-by-step explanation:

Help plzzzz I need help ASAP thank you

Answers

Answer:

D

Step-by-step explanation:

D shows the answer you are looking for

Find the surface area of the
triangular prism.

Answers

138 because take 6×8×.5×2 + 7×10×.5+ 7×8×.5 + 6×7×.5 to get 138 square neters

FIRST TO ANSWER GETS BRAINLIEST

Answers

Step-by-step explanation:

3x - y = 74

4y = x

Replace x in the first expression by 4y

3x - y = 74 ➡ 3(4y) - y = 74

12y - y = 74

11y = 74

y = 74/11 we can use this to find x

4y = x

4 × 74/11 = x

296/11 = x

4 - 3x = 8 - 4x Plz answer this question

Answers

Answer:x=4

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

4−3x=8−4x

4+−3x=8+−4x

−3x+4=−4x+8

Step 2: Add 4x to both sides.

−3x+4+4x=−4x+8+4x

x+4=8

Step 3: Subtract 4 from both sides.

x+4−4=8−4

x=4

Answer:

x=4

Step-by-step explanation:

4-3×=8-4x

4-8=-4x+3x

-4=-×

x=4

(both side have negative so you just cancel out the negative sign)

Admission to the fair costs $5. Each ticket for a ride costs $1.50. You have $20 to spend at the fair on admissions and rides. Express the number of tickets you can buy as an inequality.

Answers

you can but over 40 that’s would be the number

In a drama classroom, 75% of the students are chosen to perform a play. Of those choosen, 15% have singing roles. What is the probability that a student chosen for the play has a singing role?

Answers

Answer:

1/5 or 0.2

Step-by-step explanation:

probability=No of students with singing roles/No of people in the play15/75=1/5 or 0.2

What are the next 3 numbers in the pattern: 10, 11, 13, 16, 20 ... *

Answers

Answer:

  25, 31, 38

Step-by-step explanation:

The first differences are increasing by 1 each time. The next differences will be 5, 6, 7, so the next numbers will be 25, 31, 38.

Answer:

The answer is 25 and 31. The pattern is adding the numbers 1, 2, 3 every time it goes up. For example. 10+ 1 = 11, 11 + 2 = 13, 13 + 3= 16, 16+ 4 = 20... and so on. Thus you would add 20 + 5 and get the answer 25. THEN you would add 25 + 6 and get 31.

Answers: 25, 31

Hope that helps

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