Pamela is going on a road trip with some friends. If they drive at an average rate of 60 miles per hour, how far will they travel in 3 1/2 hours?

area of the whole figure

= (x + 1)(2x + 3)

= x(2x + 3) + 1(2x + 3)

= 2 {x}^{2} + 3x + 2x + 3

= (2x)^(2} + 5x + 3

area of the unshaded region

= x(2x)

= 2x²

area of the shaded region

= 2x² + 5x + 3 - 2x²

= (2x² - 2x² ) + 5x + 3

= 5x+ 3

THEREFORE,

THE AREA OF THE FRAME IS C. 5x + 3

Answer:

23.3 and 11.05

Step-by-step explanation:

hope it helped!

Step-by-step explanation:

i) answer =1

ii) 2 -3m + 6n -2 x 3 3-m

Answer:

( i ) [tex]\boxed{1}[/tex]

( ii ) [tex]\boxed{2^{6n - 3m - 2}\times 3^{3 - m}}[/tex]

.

Step-by-step explanation:

( Part i )

[tex]\left(\frac{1}{x^{a - b}} \right)^{a + b}\left(\frac{1}{x^{b + a}} \right)^{b - a}[/tex]

[tex]= \left(\frac{1}{x^{(a - b)(a + b)}} \right)\left(\frac{1}{x^{(b + a)(b - a)}} \right)[/tex]

[tex]= \left(\frac{1}{x^{a^2 - b^2}} \right)\left(\frac{1}{x^{b^2-a^2}} \right)[/tex]

[tex]= \frac{1}{x^{a^2 - b^2 + (b^2 - a^2)}}[/tex]

[tex]= \frac{1}{x^0}[/tex]

[tex]= \frac{1}{1}[/tex]

[tex]= \boxed{1}[/tex]

.

( Part ii )

[tex]\frac{2^{m + n}\times 3^{2m + 3} \times 4^{2n -1}}{6^{2m + n}\times 12^{m - n}}[/tex]

[tex]=\frac{2^{m + n}\times 3^{2m + 3} \times 2^{2(2n -1)}}{(2\times3)^{2m + n}\times (3\times 2^2)^{m - n}}[/tex]

[tex]=\frac{2^{m + n}\times 3^{2m + 3} \times 2^{4n -2}}{2^{2m + n}\times3^{2m + n}\times 3^{m - n}\times 2^{2(m - n)}}[/tex]

[tex]=\frac{2^{m + n + 4n - 2}\times 3^{2m + 3}}{2^{2m + n + 2m - 2n}\times3^{2m + n + m - n}}[/tex]

[tex]=\frac{2^{m + 5n - 2}\times 3^{2m + 3}}{2^{4m - n}\times3^{3m}}[/tex]

[tex]= 2^{m + 5n - 2 - (4m - n)}\times3^{2m + 3 - 3m}[/tex]

[tex]= \boxed{2^{6n - 3m - 2}\times 3^{3 - m}}[/tex]

.

Happy to help :)

Answer:

The width is - 4 the lengeth is - 7

Step-by-step explanation:

w*l = 28in²

w = ?

l = w+3

w=2

2+3 = 5

5*2 = 10

w = 3

3+3 = 6

6*3 = 18

w = 4

4+3 = 7

7*4 = 28

So,

W = 4 L = 7

Answer:

3,300

Step-by-step explanation:

Answer:

B=55

Step-by-step explanation:

2x+3x+2x+5=180

7x=175

X=25

B= 2x+5

B=2*25 +5

B=55

Answer:

C: (1, 2.5)

Step-by-step explanation:

The point is not exactly on 2 or 3 on the y axis. So it is at 2.5. and when you read a graph you need to look at it from x to y so it should be C: (1, 2.5).

Answer:

X=56 Y=56

Step-by-step explanation:

Answer: 350

Step-by-step explanation: If you multiply the amount of workers by two, then you divide the amount of time by two, and vice versa. So, in other words, whatever number you multiply the workers by, divide the time by that same number. I hope this helps!

Answer: 6, 4.5

Step-by-step explanation:

Answer:

A right 4 down 5

Step-by-step explanation:

counting the grid spaces from any point for example R and going to the point R' (R prime) will give you the translation

Answer: x=8

Step-by-step explanation: Solve for the x by simplifying both sides of the equation, then isolate the variable.

I hope this help you out!

Answer:

The answer is D, or the bottom one.

[tex]\left \{ {{5x^2+6y^2=50} \atop {7x^+2y^2=10}} \right.[/tex]  is equivalent to [tex]\left \{ {{35x^2+42y^2 = 350} \atop {-35x^2-10y^2=-50}} \right.[/tex].

An equivalent relation of [tex]\left \{ {{5x^2+6y^2=50} \atop {7x^+2y^2=10}} \right.[/tex]  is to determine.

Relation between two values is defined as the how the value associate with others.

Here,
⇒  [tex]\left \{ {{5x^2+6y^2=50} \atop {7x^+2y^2=10}} \right.[/tex]  
⇒ multiply by 7 in first equation and by -5 in second equation.

⇒ [tex]\left \{ {{35x^2+42y^2 = 350} \atop {-35x^2-10y^2=-50}} \right.[/tex]

Thus, [tex]\left \{ {{5x^2+6y^2=50} \atop {7x^+2y^2=10}} \right.[/tex]  is equivalent to [tex]\left \{ {{35x^2+42y^2 = 350} \atop {-35x^2-10y^2=-50}} \right.[/tex].

Learn more about relation here:
https://brainly.com/question/15395662

#SPJ5

Answer:

$112.50

Step-by-step explanation:

13.50 / 6 = 2.25; this is how much it cost per pound

2.25 * 50 = 112.50

Answer:

Mattie's perspective on her grandfather's strong-headed opinions gives readers an understanding of the influence he has on her. Mattie's perspective on the events of 1793 gives readers an understanding of the experiences and uneasiness of the time

Answer:

x = 81/4

Step-by-step explanation:

multiply both sides by 4

4x + 15 = 96

subtract 15 from both sides

4x = 81

divide both sides by 4

x= 81/4

i hope that's right

Answer:

81/4

Step-by-step explanation:

Answer:

hosta = 2 $,,, geranium = 5 $

Step-by-step explanation:

if we make two eq.

1) .... 54 = 2h + 10g

2) ...... 40 = 10h + 5g

if we multiply 1st by -5 it turns to

3) ..... -270 = -10h - 50g

cancel both 10h

add eq. .. becomes : -230 = -46g

g = 5

substitute in any find , that h = 2

Answer: Y=-5

Step-by-step explanation:

The reason is because if you look down the y axis from the origin you can see the location where the line crosses over the y axis in this case it was at (0,-5)

Answer:

y = 5x + 14

Step-by-step explanation:

y represents the total money their parents give them. X represents the number of chores. 5 is the sum of 3 + 2 since Jack gets $3 for each chode while Bella gets $2 for each chore. 14 is the set amount of money the receive each week since 8 + 6 is 14.

Answer:

The negative solution = x = -4

Step-by-step explanation:

Let the number be = x

The square of number = x²

The difference between the square of a number and 28 = x²-28

Given that the difference of the square of a number and 28 is equal to three times that number.

Thus, the equation becomes

[tex]x^2-28=3x[/tex]

subtract 3x from both sides

[tex]x^2-28-3x=3x-3x[/tex]

[tex]x^2-3x-28=0[/tex]

[tex]\left(x+4\right)\left(x-7\right)=0[/tex]

[tex]x+4=0\quad \mathrm{or}\quad \:x-7=0[/tex]

[tex]x=-4,\:x=7[/tex]

Thus, the negative solution = x = -4

Answer:

green part is 4m²

pink part is 91m²-4m² = 87m²

Answer:

here u go

area of the shaded part is 87m^2

Answer:

Two extraneous solutions

Step-by-step explanation:

Answer:

where is the question here n a graph ?????

Answer:

‍♀️ i think if its a positive make it a negative and a negative make it a positive

Answer:

She would get less chocolate donuts then the cream filled donuts

Step-by-step explanation:

so I have 6 glazed donuts I bought, I also bought 2 chocolate donuts, if you subtract that you'd have 18 chocolate donuts

Answer:

1 2/3

Step-by-step explanation:

-4 1/3 ÷ -2 3/5

-13/3 ÷ -13/5

-13 x 5/ 3x -13

-65/-39

1 2/3

Answer:

25.12

Step-by-step explanation:

Answer:

No, because people who are the same age can have different zip codes!!

I took a test with this question and got it correct!!

Step-by-step explanation: