-y + 9x = 0 Direct and inverse variation. constant of variation (k)​

Answer  it is 65

Step-by-step explanation:

Answer:

x = 5y

Step-by-step explanation:

Let the age of Carl's grandfather be x

Let the age of his son be y

If Carl's grandfather is exactly 5 times older than Carl, this can be expressed as;

x = 5y

Hence the required expression is x = 5y

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:

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:

Step-by-step explanation:

(6 * 4) + 2(10 * 5) + (10 * 6)

Multiply 6 by 4 to get 24.

24 + 2(10 * 5) + (10 * 6)

Multiply 10 by 5 to get 50, then multiply by 2 to get 100.

24 + 2(50) + (10 * 6)

24 + 100 + (10 * 6)

Multiply 10 by 6 to get 60.

24 + 100 + 60

Add 24 to 100 to get 124.

124 + 60

Add 124 to 60 to get 184.

184 cm²

The surface area of the prism is 184 cm².

Answer:

140

Step-by-step explanation:

hope i helped!

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:

Yes, because the slopes of the equations are different so the system of equations will have one solution.

Step-by-step explanation:

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:

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

Step-by-step explanation:

Area for a triangle is

1/2(bxh) B-Base H-Height

So

1/2(7x8)

1/2(56)

=28

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:

1. =71.7

2. =8717.39

Step-by-step explanation: Hope this help :D

Answer:

9,309

Step-by-step explanation:

550 + (8,730) + 2 + 4 + (23)

= 550 + 8,730 + 2 + 4 + 23

= 9,309

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:

2πr³

Step-by-step explanation:

The volume (V) of a cylinder is calculated as

V = πr²h ← r is the radius and h the height

Here h = 2r, hence

V = πr² × 2r = 2πr³

Answer:

yes

Step-by-step explanation:

Answer:

27

Step-by-step explanation:

V=a^3=3^3=27

Answer:

-4x+52

Step-by-step explanation:

So we know that Samantha has 52 jelly beans and that she'll eat 4 jelly beans per minute in X minutes.

It'd be 4*x=4x

Usually, it'd be 52-4x

But you can create an equivalent

Lets say x=5

So she'd eat 20 jelly beans

52-20=32

BUT

-20+52=32

So, the answer would be D

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

Step-by-step explanation:

[tex]( {11}^{ - 2} ) ^{7} = {11}^{ - 2 \times 7} \\ = {11}^{ - 14} [/tex]

Answer:

21

Step-by-step explanation:

Answer:-4

Step-by-step explanation:

Answer:

1 = Supplementary

2 = Vertical

3 = Congruent

4 = Supplementary

5 = Complementary

6 = Adjacent

7 = never

8 = always

9 = sometimes

10 = 79°

11 = 28°

12 = 133°

Step-by-step explanation:

Answer:

       5/6 or 4/6

Step-by-step explanation:

6-2=

4/6 -with out two

5/6 -including two

Answer:

The answer is 400

Step-by-step explanation:

Withdraw means to take out, deposit means to put in. So you adding and subtracting all the numbers. 400-50+70-20= 400

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