Raul’s sister is 6 years older than he is. What is Raul’s age if Raul’s sister is 19 years old? r=?

Answer:4-2+3 Step-by-step explanation:8

Answer: $81.60

Step-by-step explanation:

When we have an original price OP, and a markup of X% (this is how much increases the price with respect to the original price)

The retail price will be:

RP = OP + (X%/100%)*OP

RP = OP*(1 + X%/100%)

In this case, we have:

Original price = OP = $68

markup = X% = 20%

Replacing these in the above equation, we get:

RP= $68*(1 + 20%/100%) = $68*(1 + 0.20)

RP = $68*(1.20) = $81.60

Then the retail price of this particular item is $81.60

Answer:

y= - x - 1

Step-by-step explanation:

You can see it goes through -1 on both axis' and it's the opposite way, making it -x

Answer:

30 times

Step-by-step explanation

Answer:

30

Step-by-step explanation:

Answer:

80 persons haf fish and 152 persons had chicken

Step-by-step explanation:

Given data

let the number of persons that had fish be x and chicken be y

so

12x+9y=2544------------------1

x+y= 232------------------------2

from 2

x= 232-y

substitute the value of x in 1

12(232-y)+9y=2544

2784-12y+9y=2544

2784-3y=2544

3y= 2784-2544

3y=240

y= 240/3

y=80

put y= 80 in 2

x+80= 232

x= 232-80

x=152

Hence 80 persons haf fish and 152 persons had chicken

Answer:

[tex]h = x^2+3x-5[/tex]

Step-by-step explanation:

Given

[tex]V = x^4 + 11x^3 + 34x^2 + 5x - 75[/tex]

[tex]L = x + 5[/tex]

[tex]W = x + 3[/tex]

Required

Determine the height (h) of the prism

Volume is calculated as:

[tex]V =lwh[/tex]

Substitute values for V, l and w

[tex]x^4 + 11x^3 + 34x^2 + 5x - 75 = (x + 5) * (x + 3) * h[/tex]

Factorize the expression on the left-hand side

[tex](x+3)(x^3+8x^2+10x-25)= (x + 5) * (x + 3) * h[/tex]

Further, factorize:

[tex](x+3)(x+5)(x^2+3x-5)= (x + 5) * (x + 3) * h[/tex]

Divide both sides by (x+3)(x+5)

[tex]\frac{(x+3)(x+5)(x^2+3x-5)}{(x+3)(x+5)}= \frac{(x + 5) * (x + 3) * h}{(x+3)(x+5)}[/tex]

[tex]\frac{(x+3)(x+5)(x^2+3x-5)}{(x+3)(x+5)}= h[/tex]

[tex](x^2+3x-5)= h[/tex]

[tex]x^2+3x-5= h[/tex]

[tex]h = x^2+3x-5[/tex]

The height of the prism is [tex]x^2+3x-5[/tex]

Answer:

The second line cuts the x-axis at x = -5/2.

Step-by-step explanation:

The given line:

[tex]3x-2y=12[/tex]

Intersects a second line at x = 2.

This second line is perpendicular to the first.

And we want to find the second line's x-intercept.

First, rearrange the first line into slope intercept form:

[tex]-2y=-3x+12[/tex]

So:

[tex]\displaystyle y=\frac{3}{2}x-6[/tex]

We can see that the slope of the first line is 3/2.

It intersects the second line at x = 2.

So, the y-value of both the first and second line at x = 2 is the same.

Find the y-value by using the first line:

[tex]\displaystyle y=\frac{3}{2}(2)-6=3-6=-3[/tex]

So, a point on both lines is (2, -3).

Since the second line is perpendicular to the first, its slope it the first's negative reciprocal.

The negative reciprocal of 3/2 is -2/3.

So, the slope of the second line is -2/3.

And we determined that it passes through (2, -3).

Then by the point-slope form:

[tex]y-y_1=m(x-x_1)[/tex]

Substitute:

[tex]\displaystyle y-(-3)=-\frac{2}{3}(x-2)[/tex]

Distribute:

[tex]\displaystyle y+3=-\frac{2}{3}x+\frac{4}{3}[/tex]

So:

[tex]\displaystyle y=-\frac{2}{3}x-\frac{5}{3}[/tex]

The second line will cut the x-axis when y = 0.

So:

[tex]\displaystyle 0 =-\frac{2}{3}x-\frac{5}{3}[/tex]

Multiply both sides by -3:

[tex]0=2x+5[/tex]

Solve for x:

[tex]\displaystyle x=-\frac{5}{2}[/tex]

The second line cuts the x-axis at x = -5/2.

Answer:

h = [tex]\frac{3v}{\pi r^{2} }[/tex]

Step-by-step explanation:

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

The answer is 17,000 it is simple addition. Ur name says Ur in highschool. I am in sixth grade. I just solved it. Just do me a favor and try next time.

Answer: slope= 2, y-intercept= 3

Answer:

B. y = 3x + 1

Step-by-step explanation:

We can look at the table like a bunch of values, where (x) is what is inserted into the equation, and (y) is what comes out.

Now, simply insert the (x) values into each equation and see if they work out or not.

y = (1/3)(-1) + 1 does not equal -2, meaning this equation is defunct.

y = 3(-1) + 1 = -2; y = 3(0) + 1 = 1. This must be the equation as it works for the (x) values given. You can try the other equations, but a simple look at them is all you need to prove them false.

Answer:

c

Step-by-step explanation:

mabye not but meh

Answer:

2nd choice

Step-by-step explanation:

1. dilation factor: 1/2

2. rotation: about origin anti-clockwise 180°

Δ ABC - Δ A'B'C', because AA'B'C' is obtained by dilating AABC by a scale factor of 1/2 and then rotating it about the origin by 180 degrees.

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

We have to find the statement which is correct for triangle ABC and triangle A'B'C'.

Let us find the coordinates of triangle ABC

A=(2, 2), B=(2, 10) and C=(8, 12)

After transformation the triangle A'B'C'.

Coordinates A' = (-1, -1), B(-1, 5) and C'(-4, 6)

The scale factor is 1/2.

A dilation is a transformation which preserves the shape and orientation of the figure, but changes its size.

Δ ABC - Δ A'B'C', because AA'B'C' is obtained by dilating AABC by a scale factor of and then rotating it about the origin by 180 degrees.

Hence, Δ ABC - Δ A'B'C', because AA'B'C' is obtained by dilating AABC by a scale factor of 1/2 and then rotating it about the origin by 180 degrees.

To learn more on Graph click:

https://brainly.com/question/17267403

#SPJ7

Answer:

theta = 22.6 degrees

Step-by-step explanation:

Here, we want to find the value of theta

To do this , we use the appropriate trigonometric identity

Let us identify the given sides of the triangle

we have the hypotenuse, which is the longest side of the triangle, given as 13 and the third side called the adjacent, given as 12

The trigonometric identity that relates the hypotenuse to the adjacent is the cosine

Mathematically;

cosine of an angle is the ratio of the adjacent to the hypotenuse

Thus, we have it that;

cos theta = 12/13

theta = arc(cos) 12/13

theta= 22.6

Answer:

x=5

y=-5.8

Step-by-step explanation:

4x-3x=1x

1x=5

x=5

8(5)-5y=11

40-5y=11

40-11=29

-5y=29

29/-5=-5.8

y=-5.8

Answer:

x = negative 3

Step-by-step explanation:

i just know lol

Answer:

4

because it is the greatest power in the polynomial

Answer:

Step-by-step explanation:

Just make the graph and compare them. Graph B. can be seen below

Answer: Well B

Step-by-step explanation:

Calculating, the rate was found out to be

y= 2.5x

Let y1= 0, y2= 10

x1= 0, x2= 4

(y2-y1)/(x2-x1) = (y- y1)/(x- x1)

(10-0)/(4-0) = (y-0)/(x-0)

10/4 = y/x

y= (10/4)x= 2.5x

Answer:

126 = 3x

Step-by-step explanation

Answer:

(14 + 4)c, or 18c

Step-by-step explanation:

Answer:

(14 + 4)c, or 18c

Step-by-step explanation:

Answer: I believe it is 2

slope=y2-y1/x2-x1

y2-y1= (0,-3)

x2-x1= (4,5)

m=5-(-3)/4-0

m=2

Answer:

Step-by-step explanation:

x/5=5/2

x=25/2

x=12.5

Answer: 38

Step-by-step explanation:

Answer:

6 elephants and 3 kangaroos in the zoo.

Step-by-step explanation:

Number of animals = 9

Number of legs seen = 30

But an elephant has 4 legs, while a kangaroo has 2 legs.

Let the number of elephant be represented by E, and the number of kangaroo by K.

So that,

E + K = 9 .................. 1

4E + 2K = 30 ............. 2

Multiply equation 1 by 2 to have

2E + 2K = 18 ............ 3

Subtract equation 3 from 1

2E = 12

E = 6

Substitute the value of E in equation 1

E + K = 9

6 + K = 9

k = 3

Thus, there were 6 elephants and 3 kangaroos in the zoo.

Answer:

Ang mga Babae sa Relihiyon at Pilosopiya sa Asya. Limang Ugnayan. emperador-mamamayan. ama-anak na lalaki.

Answer:

Any fraction that will reduce to -3/2 will be equivalent to -3/2.

Examples:

-6/4

-24/16

Answer:

-6/4

Step-by-step explanation:

You can just multiply them by any factor. Remeber that what you do to the bottom you do to the top.

So,

-3/2 x 2

-6/4 (this is a fraction equivalent to it.

hope this heped :)