Megan spent half of her paycheck on an iPad. Over the weekend she earned $12 from babysitting. If she has $514.50 now. Write and equation and solve to find out how much was her paycheck

Answer:

The shorter side is 6.

The perimeter is 26.4 inches.

The area is 43.2 inches[tex]^{2}[/tex]

Step-by-step explanation:

The ratio 5;6 and the given longer side is 7.2 in.

Since it is the longer side, the '6' in the ratio is 7.2 in.

Let x be the shorter side

5:6 = x : 7,2

Divide 7.2 to 6.

7.2 ÷ 6 = 1.2

Then multiply 1.2 to 5.

1.2 * 5 = 6

So the shorter side is 6.

L = 7.2

W = 6

Now to find the perimeter, let's use the formula

P = 2L + 2W

Let's put the values in the formula

P = 2(7.2) + 2(6)

P = 14. 4 + 12

P = 26.4

The perimeter is 26.4 inches

To find the area, let's use the formula

A = LW

A = (7.2)(6)

A = 43. 2 inches[tex]^{2}[/tex]

Answer:

shorter side= 6

p= 26.4  

a= 43.2

Step-by-step explanation:

Answer:

-5x+12=5x-5

12=5x+5x-5

12+5=10x

17=10x

17/10=×

Answer:

C

Step-by-step explanation:

324 = 4 [tex](3)^{2x}[/tex] ( divide both sides by 4 )

81 = [tex]3^{2x}[/tex] , that is

[tex]3^{4}[/tex] = [tex]3^{2x}[/tex]

Since bases on both sides are equal, both 3, then equate exponents

4 = 2x ( divide both sides by 2 )

2 = x → C

Answer:

24

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

your answer is 4 because

2*4 = 8

5*4 = 20

7*4 = 28

8*4 = 33

9514 1404 393

Answer:

  d.  32°

Step-by-step explanation:

Vertical angles are congruent, so ...

  5x +2 = x +26

  4x = 24

  x = 6

  (x +26)° = (6+26)° = 32°

The measure of the angle is 32°.

_____

Additional comment

Vertical angles share a vertex. This means B and E are two names for the same point.

Answer:

  x ≤ 5 5/8

Step-by-step explanation:

  8x +15 ≤ 60 . . . . . . given

  8x ≤ 45 . . . . . . . . . subtract 15

  x ≤ 5 5/8 . . . . . . . . divide by 8

The graph is a solid dot at x = 5 5/8, with shading extending to the left.

Answer:

(2, - 1 )

Step-by-step explanation:

The solution to the system is at the point of intersection of the 2 lines.

They intersect at (2, - 1 ) ← solution

Answer:

1427832.087y4441x6.7

If a kayak rental shop rents 28 kayaks per week when it charges $25 per day. For each $5 increase in price, the shop loses four kayak rentals per week. 720 is the  maximum weekly revenue

Two or more expressions with an Equal sign is called as Equation.

It is given that a kayak rental shop rents 28 kayaks per week when it charges $25 per day

For each $5 increase in price, the shop loses four kayak rentals per week. we need to find  How much should the kayak rental shop charge to maximize weekly revenue

R(x)=(25+5x)(28-4x)

=5(5+x)4(7-x)

=20(5+x)(7-x)

=-20(5+x)(x-7)

when x=1 it is maximum

Price when x =1 is 25+5(1)=30

To calculate maximize revenue

R(1)=(25+5)(28-4)

=30(24)

=720

Hence the maximum weekly revenue is $720.

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Step-by-step explanation:

the first one is:

2 so not th second one

Answer:

Step-by-step explanation: We can solve this in two ways:  Solve the equations directly, or graph the lines and find the point they intersect (which will be the only point at which they are equal.

Solve The Equations:

y = 2x+9

y = -x-3

Set them equal to each other (to find x such that both equations will return the same value for y).

-x-3 = 2x + 9

-3x = 12

x = -4

Use x=-4 in either equation to find y:

y = -x-3

y = -(-4)-3

y = 1

===

The point is (-4,1).  That is the point that satisfies both equations:

1)  y = 2x+9

    y = 2(-4)+9

   y = 1, and

2)  y = -x-3

    y = -(-4)-3

    y = 1

=====

We can also solve by graphing and finding the point at which the two lines intersect.  A graph is attached.

Answer:

8

Step-by-step explanation:

Using the Heron's formula we can find that the total area of the triangle is 84 inches.

Then, to find the height of the triangle, you have to multiply the area by 2 since the formula for the area of a triangle is (h*b)/2

Now, when we multiply 84 and 2 we get 168, so you have to divide 168 by 21 to find 8.

Answer:

11

Step-by-step explanation:

2x - 6 = 16 (Based on similarity)

2x = 16 + 6

2x = 22

x = 22/2

x = 11

Answer:

y = j - rx/c

Step-by-step explanation:

Answer:

-18=2x-3(-1/3x+3)

-18=2x+x-9

-18=3x-9

-18+9=3x

3x=-9

x=-9

y=-3(-1/3)+3

y=1+3

y=4

Answer:

2812.5

Step-by-step explanation:

Answer:

(-8.-9) and (14,13).

Step-by-step explanation:

y=x-1

y=117/x-5

As the 2 terms in x are both equal to y:

x-1 = 117/x-5

(x-1)(x-5) = 117

x^2 - 6x + 5 - 117 = 0

x^2 - 6x - 112 = 0

(x + 8)(x - 14) = 0

x = -8, 14.

When x = -8, y = -8-1 = -9

When x = 14, y = 14-1 = 13.

The required coordinate points are (-8.-9) and (14,13).

Given the following equations

y=x-1

y=117/x-5

Equating both function will give

x-1 = 117/x-5

(x-1)(x-5) = 117

x^2 - 6x + 5 - 117 = 0

x^2 - 6x - 112 = 0

(x + 8)(x - 14) = 0

x = -8, 14.

When x = -8, y = -8-1 = -9

When x = 14, y = 14-1 = 13.

Hence the required coordinate points are (-8.-9) and (14,13).

Learn more on intersection of function here: https://brainly.com/question/343077

Answer:

Step-by-step explanation:

D

Step-by-step explanation:

according to me option A 2 or 5

Answer:

250 dollars

Step-by-step explanation:

t = tickets

t = 200

Two and a half rolls tickets = (200 x 2) + 200/2) = 400 + 100 = 500

500 tickets x 50 cents = 25000 cents

convert cents to dollars (move decimole point over left 2 units)

25000 = 250 dollars

Answer:

Step-by-step explanation:

domain is always the x-values, the first number of an ordered pair. and yes, the x and y values increase at a constant rate.

problem #1:

x   /   y

-2     -1

-1      -3

0      -5

1       -7

problem #4:

(5, 1) (6, 2) (7, -3) (8, 4) (9, 5)

hope this all helped ;)

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Answer:

listed below

Step-by-step explanation:

x values are domain and y values are range

1) Domain = {-2, -1, 0, 1}

Range = {-7, -5, -3, -1}

4) Domain = {5, 6, 7, 8, 9}

Range = {-3, 1, 2, 4, 5}

Answer:

x=−3 and y=7

Step-by-step explanation Solve: 7x+2y=−7for x:

7x+2y=−7

7x+2y+−2y=−7+−2y(Add -2y to both sides)

7x=−2y−7

7x

7

=

−2y−7

7

(Divide both sides by 7)

x=

−2

7

y−1

------------

−2

7

y−1forxin11x+5y=2:

11x+5y=2

11(

−2

7

y−1)+5y=2

13

7

y−11=2(Simplify both sides of the equation)

13

7

y−11+11=2+11(Add 11 to both sides)

13

7

y=13

13

7

y

13

7

=

13

13

7

(Divide both sides by 13/7)

y=7

------------------------

Substitute7foryinx=

−2

7

y−1:

x=

−2

7

y−1

x=

−2

7

(7)−1

x=−3(Simplify both sides of the equation)

Blue boxed text is ur answer

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Answer:

9

a

3

b

2

(

3

b

−

5

a

)

Step-by-step explanation:

Answer:

5,_5,5,

_8,_3,5,

Step-by-step explanation:

from 5 u get _8,from _5 you get _3 and so on

Answer:

b

Step-by-step explanation:

Answer:

h=81

Step-by-step explanation:

Dont know how to explain but this is the answer