Un embalse estaba lleno a finales del mes de mayo. En el mes de junio se consumieron 3/10 de sus reservas y a finales de julio solo quedaba la mitad. ¿Qué fracción del embalse se consumió durante el mes de julio?

Answers

Answer 1

The English translation of the question is

A reservoir was full at the end of May. In the month of June 3/10 of its reserves were consumed and at the end of July only half remained. What fraction of the reservoir was consumed during the month of July?

Answer:

1/5 of the Reservoir will be consumed in the month of July.    

Step-by-step explanation:

We are given

Full reservoir at the end of month May. In the month of June 3/10 of the reservoir was consumed.

Amount present in the Reservoir at the end of the month June will be = 1 -3/10

                                                                                                          = 7/10

Now this 7/10 of the Reservoir will be used for the next month which is July

It is given that at the end of July only 1/2 of the Reservoir is remained that means the amount that was left at the end of the Month June will be used for the month July. So the amount consumed in the month of July will be

    Amount consumed  =  7/10 - 1/2

                                     = 2/10 = 1/5

Therefore 1/5 of the reservoir will be consumed in the month of July.    


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Alex dumped out his piggy bank and there were only
nickels, dimes, and quarters.
There were three times as many dimes as nickels, and 40
more quarters than nickels.
If the total amount of money was $17.20, how many of each
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Answers

Answer:

12 nickels

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52 quarters

Step-by-step explanation:

Let x = no. of nickels

3x = no. of dimes

x + 40 = no. of quarters

5x = value of the nickels since each nickel is 5 cents

10(3x) = 30x = value of the dimes since each dime is 10 cents

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the path of a toy rocket is modelled by the equation y=-x^2+6x+2, where x is the horizontal distance, in metres, travelled and y is the height, in metres, of the toy rocket above the ground. what is the maximum height of the toy rocket? at what horizontal distance does the maximum height occur?

Answers

Answer:

The path of a toy rocket is defined by the relation y=-3x^2+11x+4, where x is the horizontal distance, in meters, traveled and y is the height, in metres, above the ground.

Determine the zeros of the relation.

-3x^2 + 11x + 4 = 0

---

3x^2 - 11x -4 = 0

Factor:

3x^2 - 12x + x - 4 = 0

---

3x(x-4) + x-4 = 0

---

(x-4)(3x+1) = 0

---

 

x = 4 or x = -1/3

============================

f(x) = -3x^2+11x+4

How far has the rocket traveled horizontally when it lands on the ground?

4 ft.

==================

What is the maximum height of the rocket above the ground, to the nearest hundredth of a meter?

---

max occurs when x = -b/2a = -11/(2*-3) = 11/6

height = f(11/6) = 14.083 ft

Use substitution to solve the system of equations.
3 - 5y = 36
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Answers

Answer:

(-4, -8)

Step-by-step explanation:

x - 5y = 36; 2x + y = -16

first, rearrange the first equation by adding 5y to both sides to isolate x

x = 5y + 36

then plug that in for x in the second equation and solve for y:

2(5y +36) + y = -16               distribute 2 to (5y + 36)

10y + 72 + y = -16                 combine like terms by adding 10y and y

11y + 72 = -16                        subtract 72 from both sides

11y = -88                                divide both sides by 11

y = -8

next, plug y in and solve for x

x - 5(-8) = 36

x + 40 = 36                          subtract 40 from both sides

x = -4

finally, check the solution by plugging x and y into both equations to see if they equal the expected value

(-4) - 5(-8) = -1 + 40 = 36 = 36 ✓

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Answer:

I beleive  

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Step-by-step explanation:

Please help! how do i know if it’s sin, cos, or tan if they’ve already given me all three numbers ?

Answers

Answer:

Here you can use any!

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Answer:

Step-by-step explanation:

if Juanita has 52 dollars and this sum represents 20%

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Answer:

the answer is A -1/3 x

Step-by-step explanation:

hope this helps :)

I need help on this if anyone don’t mind

Answers

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Answer:

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Step-by-step explanation:

For this to have infinitely many solutions, the left side and right side must simplify to the same expression. The left side is already simplified, so we need to find the right numbers for the right side.

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Answer:

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Answer:C

Step-by-step explanation:

Answer:

C. 3, 2, 0, -1, -3

Step-by-step explanation:

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Answers

Answer:

y = 95° (being corresponding angle)

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Answer:

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Step-by-step explanation:

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Answers

Answer:

I think it is 3????

Step-by-step explanation:

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Answers

Answer:

if i am correct the answer is A

Step-by-step explanation:

The quotient of 3 and -30 is a rational number. The correct answer would be an option (B).

What is the Quotient?

A quotient is defined as the outcome of dividing an integer by any divisor that can be said to be a quotient. The dividend contains the divisor a specific number of times.

The quotient of 3 and -30 is:

3 ÷ (-30) = -0.1

Therefore, the quotient is a rational number. Option B is correct.

A rational number is a number that can be expressed as a ratio of two integers, where the denominator is not zero. In this case, -0.1 can be expressed as the ratio of the integer -1 and the integer 10, where the denominator 10 is not zero.

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i hope i was correct with using one step equations and was early to help you :)
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Answers

Answer:

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Answers

Answer:

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Answers

Answer:

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Step-by-step explanation:

To convert a percent into a fraction, you have to put the value of the percent over 100.

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Answers

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Answers

Answer:

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Step-by-step explanation:

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Answers

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The given inequality can be solved as follows,

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Answer:

24 ft

Step-by-step explanation:

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Answer:

-12x + -4y = 8 would be the full equation so -12x goes in the box

Step-by-step explanation:

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Answers

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Answers

For number 9, you would use the formula a^2+b^2=c^2, also “^” means exponents. C would be 35 because the angle is pointing right at it, keep that in mind. We have to find out the other angle so A would be X and B would be 20, it does not mater if you go b^2+a^2=c^2 or a^2+b^2=c^2. Now the equation is x^2+20^2=35^2, now you did the math you would get x^2+400=1225. You have to leave x alone so you would subtract 400 from 1225, now you have x^2=825. To cancel out the exponent for X, to do the square root of x^2, when you do that you cross out the square root and the exponent so all you have is X. Finally, what you do to one side you do to the other. The square root of 825 is 28 but if you round up it is 29 (you will see in the picture I send.) So, x=28

Hi! So what you will need to know is pythagorean theorm.

What the theorm basically says is a^2 + b^2 = c^2.

-- The (a,b,c) are referring to the sides of the triangles (3 letters for 3 sides).

Take note that "c" is always the side opposite of the right angle.

The other known side could be "a" or "b"

Taking a look at problem 9, identify the "c" value. The "c" value would be 35.

Then indentify the value of "b" or "a". "a" would = 20.

Plug it into the equation:

20^2 + b^2 = 35^2

400 + b^2 = 1225

solve for b.

1. subtract 400 from both sides.

b^2 = 825

b = [tex]\sqrt{825}[/tex]

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