how long does it take to empty out the pool

Answer:

x=−8 and y=−4

Step-by-step explanation:

8x−17y=4;−8x+15y=4

add eqn1 and 2

to eliminate x

you will get y=-4

put it zin eqn 1

x=-8

Answer:

48.6

Step-by-step explanation:

If you use 8.1g of sugar for 1 cake then 6 cakes will be 48.6g of sugar

Just do 8.1*6 and you will get 48.6

Answer:

El caso de la adición es trivial.

La adición entre los números A y B es:

A + B

Entonces la adición entre los números 43 y -32 es:

43 + (-32)  

No hace falta realizar la suma para darnos cuenta de que el resultado tendra signo positivo, esto se da porque el módulo del número positivo es mayor que el del número negativo.

Así tenemos:

43 + (-32) = 43 - 32  = 11

Para el caso de la multiplicación podemos recordar:

(+)*(+) = (+)

(-)*(+) = (-)

(+)*(-) = (-)

(-)*(-) = (+)

Entonces el producto entre un número positivo y uno negativo (como es nuestro caso con 43 y -32) siempre tendrá un signo negativo.

Entonces podemos concluir que el signo de la multiplicación entre esos dos números va a ser negativo.

También podemos resolver la multiplicación de otra forma para ver esto:

43*(-32)

43*( (-1)*32)

43*(-1)*(32)

(-1)*(43*32)

Que es claramente un número negativo.

Answer:

28 - 3h

Step-by-step explanation:

We must do the work seen inside parentheses first.

Thus, we havve 4(7) - 3h, which simplifies to

28 - 3h

Answer:

27

Step-by-step explanation:

V=a^3=3^3=27

Answer:

b. 3/2

Step-by-step explanation:

Answer:

-30

Step-by-step explanation:

[tex]\boxed{slope = \frac{y1 - y2}{x1 - x2} }[/tex]

where (x₁, y₁) is the first coordinate and (x₂, y₂) is the second coordinate.

Slope

[tex] = \frac{12 - ( - 18)}{11 - 12} [/tex]

[tex] = \frac{12 + 18}{ - 1} [/tex]

= -30

Answer:

140

Step-by-step explanation:

hope i helped!

Well, we know that a triangle's angles add up to 180°, so 45 + 35 + x = 180, and x = 100.

The third angle is 100.

Answer:

The measurement of the third angle is 100 degrees.

Step-by-step explanation:

Just add 45 + 35 which equals to 80. Every triangle's angles equal to 180 degrees so subtract 80 from 180. That equals 100 degrees.

Equation: 45+35=80

180-80=100

Hope this helps! :)

Answer:

4√2 or 5.66

Step-by-step explanation:

x² + x² = 8²

=> 2x² = 64

=> x² = 32

=> x = √32 = 4√2 or 5.66

Answer:

There is no circle

Step-by-step explanation:

If you post the circle, I will help

Make sure to attach a file of the photo (Please no links)

Answer:its B. I took the test

Step-by-step explanation:

Answer:

The length of the radius is 2.95 units

The  length of the radius of the circle is 2.95 units.

A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.

Given that  blue segment below is a diameter of O

Diameter is five point nine.

We need to find the radius of the given circle.

Radius is equal to diameter by two

Radius= Diameter/2

Now put value of diameter in the above formula

Diameter = 5.9

Radius =5.9/2

=2.95

Hence, the  length of the radius of the circle is 2.95 units.

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Answer:

Enter cost and tip percent to get a tip amount and total dinner amount. Also split the total amount; divide among any number of people. ... Money, Pay, Taxes. > Tip ... Enter your meal or dinner cost along with the tip percentage. ... To calculate a gratuity or tip on any calculator it is a simple multiplication. ... All rights reserved

Step-by-step explanation:

After eating at your favorite restaurant, you know that the bill before tax is $52.60 and that the sales tax rate is 8%. You decide to leave a 20% tip for the waiter based on the pre-tax amount. How much ... To figure out the tip, you need to find 20% of $52.60. 0.2 \times 52.6

The amount that each person should pay is  $22.06   .

Percentages can be stated as essentially fractions where the denominator is 100. To show that a number is a percent, we use the percent symbol (%) beside the number. We can take as example, if you got 75 questions right out of 100 on a test (75/100), you would have scored 75%.

here, we have,

in the question ,

it is given that

total number of persons = 3 person + 1 = 4 persons

cost of the meal = $72.50

sales tax percent = 6.75%

tip percent = 15%

So , the amount of sales tax = 6.75% of cost = 0.0675 * 72.50 = $4.89

and , the amount of tip is = 15% of cost

= 0.15 * 72.50

= 10.87

So , the total amount payable is = cost + sales tax + tip

= 72.50 + 4.89 + 10.87

= 88.26

since the total number of persons is 4 ,

the amount per person is = 88.26/4 = 22.06

Therefore , The amount that each person should pay is  $22.06   .

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Answer:

I'm not sure if I'm correct but I think it's F=5

Step-by-step explanation:

6 times 5 = 30

Answer:

The system is:

x + y = 8

x - y = -14

And the solution is:

x = -3

y = 11

Step-by-step explanation:

We have two numbers x and y, such that:

x + y = 8   (the sum is equal to 8)

x - y = -14  (the difference is equal to -14)

This is the system of equations we need to solve.

To solve the system, we first need to isolate one of the variables in one of the equations, I will isolate x in the first equation:

x = 8 - y

Now we can replace this in the other equation to get:

(8 - y) - y = -14

8 - 2*y = -14

8 + 14 = 2*y

22 = 2*y

22/2 = y

11 = y

Now we can replace this in the equation "x = 8 - y"

To get:

x = 8 - 11  = -3

Then the solution to the system is:

x = -3 and y = 11

Answer:-4

Step-by-step explanation:

Answer:

It would be 1/2

Step-by-step explanation:

y = (1/2)x has the format y = kx, where k is the const. of prop.  In this particular case that const. of prop. is (1/2).

Answer:

i think you have to multiply the sides..

Step-by-step explanation:

Answer:

Step-by-step explanation:

1) PQ² + PR² = QR²

PQ² + 14² = 50²

PQ² + 196 = 2500

           PQ² = 2500 - 196 = 2304

            PQ = √2304

PQ = 48

Sin Q = [tex]\frac{opposite side}{hypotenuse}=\frac{14}{50}\\[/tex]

[tex]Cos Q = \frac{adjacent side}{hypotenuse}=\frac{48}{50}\\\\Tan Q = \frac{oppsite}{adjacent}=\frac{14}{48}\\\\\\\Sin R = \frac{48}{50}\\\\Cos R = \frac{14}{50}\\\\Tan R = \frac{48}{14}\\\\[/tex]

2) tan 48 = [tex]\frac{x}{17}[/tex]

x = 17 * tan 48  = 17 * 1.1106 = 18.8802

x = 18.8802

Answer:

13. 24ft = 8yd

14. 120in = 10 ft

15. 2 yd = 72 in

16. 5 yd = 180 in

17. 20yd = 60 ft

Step-by-step explanation:

24ft*12 in = 288 inches/36 inches(1yd) = 8yd

120in/12in = 10ft

2yd*36in = 72 in

5yd*36in = 180 in

20yd*36in = 720/12in = 60ft

1ft = 12inches

1 yd = 36 inches

Answer:

$3.98

the unit rate can be determined by dividing the total costs of the pistachio by the total pounds bought

Step-by-step explanation:

unit rate = total cost / total pounds bought

7.96 / 2 = $3.98

1.99 / 0.5 = $3.98

Answer:

x=14

Step-by-step explanation:

Answer:

x = 14

Step-by-step explanation:

2(x - 9) = 10

2x - 18 = 10

add 18 o each side of the equation:

2x = 28

divide both sides by 2:

x = 14

Answer:

Try A

Step-by-step explanation:

Answer:

Step-by-step explanation:

x = 6 (6 minutes)

5.3 x 6 + 23 = 54.8

5.3 x 6 = 31.8

31.8 + 23 = 54.48

2.  C.  23: the amount of the temperature increased each minute.

Let me know if this helps!

Answer:

C. [tex]\frac{Part}{Whole} =\frac{Percent}{100}[/tex]

Step-by-step explanation:

A good way to think about it is this. You know that 1/2 is 50%. It's common knowledge.

In this case 1 is the Part and 2 is the whole

[tex]\frac{Part}{Whole} = \frac{1}{2} = .50[/tex]

So to get 50% in decimal form we would have to divide it by 100 to move the decimal over two places

[tex]\frac{Percent}{100} = \frac{50}{100} = .50[/tex]

Therfore,

[tex]\frac{1}{2} = \frac{50}{100}[/tex]

or

[tex]\frac{Part}{Whole} =\frac{Percent}{100}[/tex]

Answer:

The answer is B.

Step-by-step explanation:

You can solve this problem by plugging in 2 for x in the given equations.

2(2) - 3 = 19 is false

3(2) + 2 = 8 is true

4(2) - 4 = -4 is false

5(2) + 1 = 10 is false