4.5(8 - x) + 36 = 102 - 2.5(3x + 24)

Answer:

The equation is y = 29x + 90. So, if you plug in 3,100.00 for y.

3,100.00 = 29x + 90

3,100.00 - 90 = 29x

3,010.00 = 29x

3,010.00/29 = 29x/29

x = 103 guests

Answer:

Mr. Webster's garden is greater than Ms. Turner's garden by 282 sq. yards.

Step-by-step explanation:

Representing the length of the garden by l and width of the garden by w.

For turner's garden, given that l= 24 yards and w= 17 yards.

As the area, A, of the rectangular garden having  length l and width w is

So, the area of Ms. Turner's garden, = 24x17=408 sq. yards

For turner's garden, given that l= 5 yards and w= 138 yards.

So, by using equation (i),

the area of Mr. Webster's garden, = 5x138=690 sq. yards

Here, [tex]A_2 > A_1[/tex], and  

= 690-408= 282 sq. yards.

Hence, Mr. Webster's garden is greater than Ms. Turner's garden by 282 sq. yards.

Answer:

The equation in option A is correct.

Step-by-step explanation:

Given the equation

[tex]\:y=x^4+13x^2+12[/tex]

Let us find the solution by setting y=0

[tex]x^4+13x^2+12=0\:\:\:\:\:[/tex]

[tex]\mathrm{Rewrite\:the\:equation\:with\:}u=x^2\mathrm{\:and\:}u^2=x^4[/tex]

[tex]u^2+13u+12=0[/tex]

if [tex]ab=0\:\mathrm{then}\:a=0\:\mathrm{or}\:b=0\:\left(\mathrm{or\:both}\:a=0\:\mathrm{and}\:b=0\right)[/tex]

[tex]u+1=0\quad \mathrm{or}\quad \:u+12=0[/tex]

[tex]u=-1,\:u=-12[/tex]

[tex]\mathrm{Substitute\:back}\:u=x^2,\:\mathrm{solve\:for}\:x[/tex]

[tex]x^2=-1,\:x^2=-12[/tex]

solving

[tex]x^2=-1[/tex]

[tex]\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}[/tex]

[tex]x=\sqrt{-1},\:x=-\sqrt{-1}[/tex]

[tex]x=i,\:x=-i[/tex]            ∵ [tex]\:\sqrt{-1}=i[/tex]

solving

[tex]x^2=-12[/tex]

[tex]\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}[/tex]

[tex]x=\sqrt{-12},\:x=-\sqrt{-12}[/tex]

[tex]x=2\sqrt{3}i,\:x=-2\sqrt{3}i[/tex]

Hence, the solutions are:

[tex]x=i,\:x=-i,\:x=2\sqrt{3}i,\:x=-2\sqrt{3}i[/tex]

Therefore, the equation in option A is correct.

Answer: 6

Step-by-step explanation:

Answer:

F. [tex]\sqrt{x}[/tex]

Step-by-step explanation:

if you replace x with 2 and plug these into your calculator, you can see that [tex]\sqrt{x}[/tex] has the least value

Answer:

30 inches

Step-by-step explanation:

using a^2+b^2=c^2

72^2=5184

30^2=900

5184+900=6084

√6084=78

Answer:

30

Step-by-step explanation:

Answer:

x = 25 ; m∠A = 148°

Step-by-step explanation:

∠A ≅ ∠B (alternate exterior angles)

(6x - 2)° = (4x + 48)°

2x = 50

x = 25

m∠A = 6(25) - 2 = 148°

Answer:

1) 11x + 9x

= 20x

2) 8y - 7y

= 1y

= y

3) 5t - 7t

= -2t

4) -n + 4n

= 3n

5) 5w² + 12w²

= 17w²

6) 2x² - 9x²

= -7x²

7) -4y² + 9y²

= 5y²

8) 6c - 4 + 2c - 7

= 8c - 11

9) 5 - 3x + y + 6

= 11 - 3x + y

Answer: What is the question?

Step-by-step explanation: The slope is 1x and the equation is y=x+3

Answer:

parallelogram, rectangle, rhombus

Step-by-step explanation:

have a wonderful day

Parallelogram, rectangle, rhombus  names accurately describe figure PQRS.

A quadrilateral is a four-sided polygon, having four edges and four corners.

The given figure PQRS is a quadrilateral.

A parallelogram is a two-dimensional geometrical shape whose sides are parallel to each other.

A rectangle is a special case of a parallelogram in which each pair of adjacent sides is perpendicular.

A rhombus is a quadrilateral whose four sides all have the same length.

The figure satisfies the properties of parallelogram, rectangle and rhombus.

Hence, parallelogram, rectangle, rhombus  names accurately describe figure PQRS.

To learn more on Quadrilateral click:

https://brainly.com/question/29934440

#SPJ3

The addition of the fraction 8 2/3 + 1 7/9 is 10 4/9.

A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers.

In this case, the addition of the fraction will be:

= 8 2/3 + 1 7/9

= 8 6/9 + 1 7/9

= 9 13/9

= 9 + 1 4/9

= 10 4/9

Learn more about fractions on:

brainly.com/question/17220365

#SPJ1

Answer:

Step-by-step explanation:

4

Answer:

its C. yw

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

i did the test

Answer:

First x=-13 (The sum of a number and three is divided by five. The result is negative two.)

Second x=-10 (Half of a number is added to four. This sum is equivalent to negative one.)

Third x=-3.5 (The sum of a number and two is equal to the quotient of six and negative four.)

Fourth x=3.25 (The difference between four times a number and five has a result of negative eight.)

Fifth  x=12 ( The difference between a number and five is multiplied by negative two. The  resulting product equals fourteen. )

Step-by-step explanation:

We will consider number = x

1. Half of a number is added to four. This sum is equivalent to negative one.

[tex]\frac{1}{2}x+4=-1[/tex]

Now solving to find value of x

[tex]\frac{1}{2}x+4=-1\\\frac{1}{2}x=-1-4\\\frac{1}{2}x=-5\\x=-5*2\\x=-10[/tex]

So, value of x=-10

2. The sum of a number and three is divided by five. The result is negative two.

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

Solving:

[tex]\frac{x+3}{5}=-2\\x+3=-2*5\\x+3=-10\\x=-10-3\\x=-13[/tex]

So, value of x=-13

3. The difference between four times a number and five has a result of negative eight.

[tex]4x-5=-8[/tex]

Solving:

[tex]4x-5=8\\4x=8+5\\4x=13\\x=13/4\\x=3.25[/tex]

So, value of x=3.25

4. The difference between a number and five is multiplied by negative two. The  resulting product equals fourteen.

[tex](x-5)*-2=-14[/tex]

Solving

[tex](x-5)*-2=-14\\-2x+10=-14\\-2x=-14-10\\-2x=-24\\x=-24/-2\\x=12[/tex]

So, value of x=12

5. The sum of a number and two is equal to the quotient of six and negative four.

[tex]x+2=\frac{6}{-4}[/tex]

Solving:

[tex]x+2=\frac{6}{-4}\\x+2=-\frac{3}{2}\\x= -\frac{3}{2}-2\\x=\frac{-3-2*2}{2} \\x=\frac{-3-4}{2} \\x=\frac{-7}{2} \\x=-3.5[/tex]

So, value of x=-3.5

Now arranging based on values of x

x=-10, x=-13, x=3.25, x=12, x=-3.5

First x=-13 (The sum of a number and three is divided by five. The result is negative two.)

Second x=-10 (Half of a number is added to four. This sum is equivalent to negative one.)

Third x=-3.5 (The sum of a number and two is equal to the quotient of six and negative four.)

Fourth x=3.25 (The difference between four times a number and five has a result of negative eight.)

Fifth  x=12 ( The difference between a number and five is multiplied by negative two. The  resulting product equals fourteen. )

Answer:

the fraction would be

84/100

Answer:

84/100

Step-by-step explanation:

84% is out of a hundred.

11 is the value of the square

Answer:

I think its B

Step-by-step explanation:

I'm sorry if I'm wrong. I'm busy

Answer:

????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????:P

Answer:

C

Step-by-step explanation:

Answer:

Option C

Step-by-step explanation:

By looking at the points for (x,y) in the tables, we notice that the only graph that has the points at (-1,-3), (1,2) and you can assume the other points will be on the graph from the table.

Answer:

Step-by-step explanation:

Answer: 20 weeks in 1 week

in 2 weeks 40

Step-by-step explanation:

This proves that the equation is true

Answer:

Obvious 500 is higher than -400m

Answer:

is reflected across the line x=4

Answer:

4. y = 15x

5. y = 0.375x ([tex]y=\frac{3}{8}x[/tex])

Step-by-step explanation:

15 * 1 = 15

6/16 = 0.375

24

34

22i

-34

yup your welcome

Answer:

It's not similar :)

hope this helps<3

The triangles are not similar because the sides are not proportional.

Similar triangles are those triangles which has the same shape but different size.

The length of sides and angles are proportional in similar triangles.

So we know that length of sides are proportional.

If we find the ratio of corresponding sides of the two triangles, then they must be equal to a common value.

We have only the length of two sides of each triangle.

If those sides are proportional, we must have an angle of each triangle to be equal.

Here, the angles formed by the intersecting lines are vertical angles and are thus equal.

Let's look if the sides are proportional.

20 / 36 = 5/9

24 / 42 = 4/7

Sides are not proportional.

Hence the given triangles are not similar.

Learn more about Similar Triangles here :

https://brainly.com/question/14926756

#SPJ2

Answer:

For example, the solution to the equations 2x + 3y = 15 and x - y = -10 is x = -3 ... Equation 2: 4x + 2y = 20

Answer:

x=0, y=0 this is so easy

Answer: 8

Step-by-step explanation: if Coach Rhodes solves 4 more than twice Coach South then that would mean Coach South solves 8.

Twice 8 equals 16, plus 4 equals 20.

Answer:

2

The y intercept is the point at which a line crosses the y axis. In the graph the y axis is crossed at 0, 2 or just 2

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

You take the end points for the graphs and ignore the bumpy areas since it is taking the average and that is irrelevant to the question. naomi is 6 m/10 min which is 36 mph and maya is 12 mph. 36-12=24.

Answer:

Step-by-step explanation: