Find the average yearly salary of an architect and a lawyer. The average yearly salary of an architect is $____ thousand

Answer:

There is 1 cat to 3 pumpkins

1 : 3

1 to 3

[tex]\( \displaystyle \frac{1}{3} \)[/tex]

Step-by-step explanation:

A ratio says how much of one thing there is compared to another thing.

There are 2 cats and 6 pumpkins, so we say:

"There are 2 cats to 6 pumpkins"

Ratios can be shown in different ways:

Use the ":" to separate the values:   2 : 6

Use the word "to":   2 to 6

[tex]\textsf{write it like a fraction}:\ \( \displaystyle \frac{2}{6} \)[/tex]

This ratio can be reduced to its simplest form by divide both numbers by 2.  So the ratio in its simplest form is:

There is 1 cat to 3 pumpkins

1 : 3

1 to 3

[tex]\( \displaystyle \frac{1}{3} \)[/tex]

Answer:

= 114/8-56/8

= 14.25-56/8

= 14.25-7

= 7.25

Step-by-step explanation:

This is Bedmas so remember brackets, exponents, addition, multiplication and subtraction.

I hope this helps!!

Answer:

46/8 is the answer

hope it help

Answer:

if you go to a gift shop,percents off prices of items? if you buy lunch there, and your school gives you how much of percent of your payment will go towards lunch? if your school gives you percent of what will go to each such as 5 percent will go to the bus 50 percent will go to your ticket?

Answer:

27+72x

Step-by-step explanation:

ous5ourskhrskysr

Answer:

  a triangular prism

Step-by-step explanation:

The 6 vertices are the vertices of the two triangular faces. The 3 rectangles join those to make a triangular prism.

Answer:

yeah

Step-by-step explanation:

give me the pic and ill solve

the area of the square is 144 square meters. the length is 12 m

$3.13 is the answer like it please thanks

Answer:

The Answer is C 165$

Step-by-step explanation:

Final price = original price x ((100 - % off) / 100)

final price = 220 x ((100 - 0.25) / 100)

*This answer may be wrong (part a), so make sure to double check with someone trustworthy. Feel free to tell me if I had made any mistakes, and I will fix them. Congrats if you read through my whole answer! Good luck!

Answer (a):

Coordinate: (0, 65)

Slope: -25

Step-by-step explanation:

Hint: In the graph, make one space represent 5 units to make the graph simpler (be careful on step #4 when plotting)

1.) Find the y - intercept to find a coordinate the line goes through.

2.) Rewrite the equation -25x + y = 65 in slope - intercept form.

y = 25x + 65

65 is the y - intercept at (0, 65)

3.) The slope is -25, so the slope is negative. To have a slope of 25, we can use the rise/run formula for the slope.

4.) Go 25 units to the left (to get to -25) and one unit down. Plot this point in the graph.

5.) After you have plotted these two points down (y - intercept and slope), draw a line through it.

Answer (b):

$140

Step-by-step explanation:

1.) We plug in 3 in x because it has three charms.

2.) New equation: -25(3) + y = 65

                               -75 + y = 65

3.) We add 75 to both sides to isolate y.

    -75 + y = 65

   +75 + y = 65 + 75

         y = 140

The parallel lines XY and AC is an illustration of similar triangles

The value of YC is 12 units

From the question, we have:

Parallel lines XY || AC

This means that:

BA : BX = YC : BY

Substitute known values in the above ratio

15 : 10 = YC : 8

Express the ratio as fractions

[tex]\frac{15}{10} = \frac{YC}{8}[/tex]

This gives

[tex]1.5 = \frac{YC}{8}[/tex]

Multiply both sides by 8

[tex]YC = 12[/tex]

Hence, the value of YC is 12 units

Read more about similar triangles at:

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Answer:

a=10

Step-by-step explanation:

Using Pythagoras theorem

[tex] {(a + 2)}^{2} + {( a- 5)}^{2} = {(a + 3)}^{2} [/tex]

[tex] {a}^{2} + 4a + 4 + {a}^{2} - 10a + 25 = {a}^{2} + 6a + 9[/tex]

simplify:

[tex] {a}^{2} - 12a + 20 = 0[/tex]

(a-2)(a-10)=0

hence a= 2 or a=10 however we must reject 2 as the lengths of the triangle cannot be negative eg. the side for a-5 will be equivalent to -3 cm which is not possible for lengths to become negative

Answer:

3p²+2p-8

3p²+6p-4p-8

3p(p+2)-4(p+2)

= (3p-4)(p+2)

Answer:

5

Step-by-step explanation:

The equation looks like 4x=20
Divide each side by 4 to get x=5
Thus x+5

Answer:

Domain:(∞,-∞)

Step-by-step explanation:

Well, I think this is correct because (-3,3) defines the limit. The parabola shows that there are infinite ranges of values within it. It is pretty much straightforward. All values must fit in from (-3,∞) to (-∞,3)
let me know if im wrong im just refreshing my thinking process at this moment.

Step-by-step explanation:

a,it doesn't have variable

b,2x-3=2

2x=2+3

2x=5

2x/2=5/2

x=5/2

Answer:

Step-by-step explanation:

You have to assume that the triangles are congruent or at least similar. If they are not, the question isn't possible.

If that is so, then <M and <X are equal.

You can find < M by stating that 20 degrees.

That's because <L + <M + <N = 180 degrees. All triangles have 180 degrees.

<L = 70                  Given

<N= 90                  So marked.

70 + <M + 90 = 180

<M = 20 degrees.

<X = <M

<X = 20

Answer:

What does the circle look like?

Step-by-step explanation:

To find the area use 3.14 times the radius squared.

Give me the picture of the circle so I can solve it.

heightAnswer:

12

Step-by-step explanation:

(x representing the smallest size)

x + 4x = 60

5x = 60

x = 12

the height is 12

to confirm:

12 x 4 = 48

48 + 12 = 60

The given rational function has a vertical asymptote at x = 12, and the

graph has x and y-intercept at the negative x and y-axis.

Response:

(a) The point (5, -2) is not on the graph

(b) f(x) = -1

(c) If f(x) = 2, x = 30

(d) Domain = (-∞, 12) ∪ (12, ∞)

(e) x-intercept is at x = -6, which is the point (-6, 0)

(f) The y-intercept is at y = -0.5, which is the point (0, -0.5)

(g) A zeros of f, is x = -6

The possible given function is presented as follows;

[tex]f(x) =\mathbf{\dfrac{x + 6}{x - 12}}[/tex]

(a) When x = -2, we have;

[tex]f(-2) = \dfrac{(-2) + 6}{(-2) - 12} = \dfrac{4}{-14} = \mathbf{-\dfrac{2}{7}}[/tex]

Therefore;

The point ([tex]-\frac{2}{7}[/tex], -2) is on the graph, which gives;

(b) If x = 3, we have;

[tex]f(3) =\mathbf{ \dfrac{3 + 6}{3 - 12}} = \dfrac{9}{-9} =-1[/tex]

(c)  If f(x) = 2, we have;

[tex]f(x) =2 = \mathbf{ \dfrac{x + 6}{x - 12}}[/tex]

2·(x - 12) = x + 6

2·x - x = 6 + 2 × 12 = 30

x = 30

(d) The  domain which is the list of possible x-values, which is expressed as follows;

Domain; -∞ < x < 12, and 12 < x < ∞

Which gives;

(e) The x-intercepts are;

[tex]0 = \mathbf{ \dfrac{x + 6}{x - 12}}[/tex]

(f) The y-intercept

[tex]At \ the \ y-intercept, \ f(x) = \dfrac{0 + 6}{0 - 12} = -\dfrac{1}{2} = \mathbf{ -0.5}[/tex]

(g) The zeros of the graph, f, are the points at which the graph crosses the x-axis which at the point x = -6

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Answer:

Angle BPQ = 64°

Step-by-step explanation:

4x + 12 +2x = 90

6x + 12 = 90

     - 12    -12

6x = 78

x = 13°

BPQ = ((4(13) + 12)°

           (52 + 12)°

            64°

Answer:

[tex]5x + 3[/tex]

Step-by-step explanation:

(5 × x) - Product of 5 and x

=5x

increased by 3

5x +3

Answer:

  (d)  Adjacent angles share a side

Step-by-step explanation:

Adjacent angles share a side and a vertex. They have no interior points in common.

__

In the attachment, 'a' and 'b' are adjacent angles.

Answer:

See the attached file

There is also this app "desmos" it helps in this just put the equation in there

Answer:

Read below

Step-by-step explanation:

Slope-intercept form: y = mx + b

where:

1. Rewrite 3x - 4y = -12 into slope-intercept form:

3x - 4y = -12 [subtract 3x from both sides]

3x - 3x - 4y = -12 - 3x

-4y = -3x - 12 [divide both sides by -4]

-4y ÷ -4 = -3x - 12 ÷ -4

[tex]\implies y =\dfrac{3}{4}x + 3[/tex]

Note: with the slope-intercept form, we can quickly see that the y-intercept is (0, 3)

2. Randomly choose x-values that can help you graph the equation:

When x = -8:

[tex]y =\dfrac{3}{4}x + 3\\\\y =\dfrac{3}{4}(-8) + 3\\\\y =-\dfrac{24}{4} + 3\\\\y =-6 + 3\\\\\implies y=-3[/tex]

coordinate: (-8, -3)

When x = -4:

[tex]y =\dfrac{3}{4}x + 3\\\\y =\dfrac{3}{4}(-4) + 3\\\\y =-\dfrac{12}{4} + 3\\\\y =-3 + 3\\\\\implies y=0[/tex]

coordinate: (-4, 0)

When x = 8:

[tex]y =\dfrac{3}{4}x + 3\\\\y =\dfrac{3}{4}(8) + 3\\\\y =\dfrac{24}{4} + 3\\\\y =6 + 3\\\\\implies y=9[/tex]

coordinate: (8, 9)

Graph these coordinates and draw a linear (straight) line through them.

Answer:

192 would be your answer.

The reflection mapping of the equation p(-2, 4) is [tex]\mathbf{R_{y =1}(P)=(-2,-2)}[/tex]

To solve this question, we must understand what is reflection mapping is all about.

In mathematical concepts, a reflection is indeed a mapping via a Euclidean plane to itself. The isometry of this usually has a hyperplane with designated fixed points that are commonly referred to as axis.

From the given information, we have:

The given points P = (-2, 4)

Required to find:

[tex]\mathbf{R_{y =1}(P)}[/tex]

Hence, the image of P under the axis(point of reflection line) is y = 1

Thus,

[tex]\mathbf{(x,y) = (x,2k-y)}[/tex]

[tex]\mathbf{(x,y) = (-2,2(1)-4)}[/tex]

[tex]\mathbf{(-2,4) = (-2,-2)}[/tex]

Therefore, we can conclude that the [tex]\mathbf{R_{y =1}(P)=(-2,-2)}[/tex]

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