4) The length of a rectangle is 7 inches more than the width. The perimeter of the rectangle
is 178 inches. Find the width of the rectangle.

Answer:

a) y = 4/3x + 26/3

b) 4x - 3y + 26 = 0

c) x-int: (-6 1/2, 0)

   y-int: (0, 8 2/3)

Step-by-step explanation:

a) to get points into the point-slope form you first find the slope by taking the difference of the y-values over the difference of the x-values;

slope (m) = (6 - 2) / (-2 - -5)  =  4/3

plug 4/3 into 'm' and select one of the two points to plug in their 'x' and 'y' values so you can find 'b' (the y-intercept)

y = mx + b

6 = 4/3(-2) + b

6 = -8/3 + b

b = 6 + 8/3 = 18/3 + 8/3 or 26/3 (or 8.67)

so, put it all together to get the p-s form of y = 4/3x + 26/3

b) general equation is Ax + By + C = 0

take y = 4/3x + 26/3 and multiply each side by 3 to remove denominators

you get: 3y = 4x + 26;  rearrange to get 4x - 3y + 26 = 0

c) y-intercept is (0, 8 2/3); derived during step (a)

to get x-intercept, plug zero in for 'y' and solve for 'x':

0 = 4/3x + 26/3

-4/3x = 26/3

cross-multiply and get 12x = -78

x = -78/12 or -39/6 or -6 1/2

Answer:

One book would cost $13.

Step-by-step explanation:

To solve this all you have to do is divide 65 by 5. Since 65 divided by 5 is 13, 13 is your answer. So one book would cost $13.

I hope this helps you.

Answer:The third one is!!

Step-by-step explanation:

The commutative property of addition says that changing the order of addends does not change the sum. Here's an example: 4 + 2 = 2 + 4 4 + 2 = 2 + 4 4+2=2+4

9514 1404 393

Answer:

  y = 4x -7

Step-by-step explanation:

Rearranging the slope-intercept for equation, we can find the intercept:

  y = mx +b

  y -mx = b . . . . . subtract mx

We know the slope of the parallel line is the same as that of the given line (m=4), so we only need to find 'b'.

  b = 9 -4(4) = -7

The desired equation is ...

  y = mx +b

  y = 4x -7

Answer:

He will earn $6 in interest in 9 months.

Step-by-step explanation:

This is a simple interest problem.

The simple interest formula is given by:

[tex]E = P*I*t[/tex]

In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

After t years, the total amount of money is:

[tex]T = E + P[/tex]

Initial deposit of $400.

This means that [tex]P = 400[/tex]

2% annual interest

This means that [tex]I = 0.02[/tex]

How much interest will he earn in 9 months?

An year has 12 months, this means that [tex]t = \frac{9}{12} = \frac{3}{4} = 0.75[/tex]

This is E. So

[tex]E = P*I*t = 400*0.02*0.75 = 6[/tex]

He will earn $6 in interest in 9 months.

Answer:

420

Step-by-step explanation:

35x12

Answer:

4.75

Step-by-step explanation:

19/4 = 4.75

Answer:

Etymology

the study of the origin of words and the way in which their meanings have changed throughout history.

Step-by-step explanation:

Answer:

5x+32y+76

Step-by-step explanation:

First, distribute.

4 x 2x = 8x

4 x 8y = 32y

4 x 9 = 36

Then, combine like terms.

8x - 3x = 5x

36 + 40 = 76

And that leaves 5x+32y+76

Answer: how about 105/3 = 35, therefore the middle number is 35, and the 3 numbers are 33, 35, and 37.

Step-by-step explanation:

Answer:

The correct answer is 98.

cuatro es la respuesta....espero eso ayude

Answer:

∠A = 88°

Step-by-step explanation:

= 180° - (50° + 38°)

= 180° - 88°

= 92°

∠A + 92° = 180°

∠A = 180° - 92°

∠A = 88°

Answer:

290d + 245

Step-by-step explanation:

Hello! So what you do first is make two equations, then combine them.

For the food booths, the equation would be 15(4d) + 150

For the game booths, the equation would be 23(10d) + 95

Now simplify them.

Food booths: 60d + 150

Game booths: 230d + 95

Next, we combine the two equations to get one equation.

60d + 150 + 230d +95

Simplify even more...

290d + 245

This is going to be your equation. I don't know the number of days the fair went so I can't go any futher on this question. Hope this helps though!

Answer:

314ft^2

Step-by-step explanation:

The area of a circle is found using this equation:

A=3.14r^2

r = radius

so if we know the radius is 10ft, we can put that into the equation and it will read:

A=3.14(10)^2

^2 means squared, for clarification.

Using PEMDAS we know to do exponents first

A=3.14(100)

Now multiply

A=314

and don't forget to add your units and square!

A=314ft^2

Answer:

A=78ft

Step-by-step explanation:

The area of a trapezoid is A=(a+b)/2 *h

a=long base

b=short base

h=height

For your trapezoid, it will look like this:

a=15ft

b=11ft

h=6ft

Let's add those into the equation:

A=(15+11)/2 *6

Okay, let's solve it! Using PEMDAS, we know parenthesis are first.

A=26/2 *6

Now we divide!

A=13*6

Multiply! And don't forget to add your unit.

A=78ft

Answer:

choice #4, total=31.14 mm^2

Step-by-step explanation:

14x2=28 is area of rectangle

1^2xPi=area of small circle

3.14=area of small circle

total=31.14 mm^2

Answer:

[tex]A'' = (6, -34)[/tex]

Step-by-step explanation:

Given (Points)

[tex]C = (-3,8)[/tex]

[tex]A = (3,-9)[/tex]

[tex]P = (-1,-10)[/tex]

Transformations:

Dilation: Center (0,0); Scale factor = 5

Translation: (x, y) --> (x-9,y +11).

Required

Determine the image of A

[tex]A = (3,-9)[/tex]

Apply the first transformation:

i.e. dilation by a scale factor of 5

[tex]A'=A * 5[/tex]

[tex]A'=(3,-9) * 5[/tex]

[tex]A'=(3* 5,-9* 5)[/tex]

[tex]A'=(15,-45)[/tex]

Apply the second transformation:

i.e. translation: (x, y) --> (x-9,y +11).

[tex]A'=(15,-45)[/tex]

[tex]A'' = (15 - 9, -45 + 11)[/tex]

[tex]A'' = (6, -34)[/tex]

Hence, the image of A is (6,-34)

Answer:46.6%

Step-by-step explanation: multiply 42 by 100 than divide that by 90

Answer:

Answer:

28.26

Step-by-step explanation:

A = r^2

So the equation is. Area of circle = pi(3.14) * radius(3) to the power of 2 (^2)

A = 3.14(3)^2

A = 3.14(9)

A = 28.26

Answer:

674.6

Step-by-step explanation:

If the hundreths place is 4 or less, then you stay the same in the tenths place, if it is 5 or more, you go up 1 in the tenths place

Answer:

c p = -86.4

aww man I got to explain too I used this app called math - way they will explain it

Answer:

(8-3)(-7) =8×-7=-56 (-3)×(-7)=+21

Step-by-step explanation:

then -56+21= 77

Answer:

70/100 ⋅ 80

0.7 ⋅ 80

7/10 ⋅ 80

Step-by-step explanation:

Brainliest please??

Answer:

[tex] \frac{\pi^{c} }{3} [/tex]

Step-by-step explanation:

Measure of the length of an arc of a circle is given as:

[tex]l = \frac{ \theta}{2\pi} \times 2\pi r \\ \\ \pi = \frac{ \theta}{2\pi} \times 2\pi \times 3 \\ \\ 3 \theta = \pi^{c} \\ \\ \theta = \frac{\pi^{c} }{3} \\ [/tex]

Answer:

$37.35

Step-by-step explanation:

You find the sales tax by turning 3.65% to 0.0375. Then you multiply that by 36. Then you will get 1.35. You add 1.35 to 36 and get your answer of $37.35.

Answer:

y=mx+b is slope intercept form

Step-by-step explanation:

letter B :)