The length of a rectangle is 6 less than triple its width. If the perimeter is 84 feet, find the length and width of the rectangle.

Answer:

4

Step-by-step explanation:

Looking at the fractions, -3/4 and 1/2 and 1/4, you can see the LCD or least common denominator is 4.

Thus you get -3, 2, and 1 respectively by multiplying each fraction by 4.

Check the picture below.

let's change the decimal values to fractions, say 0.1 to 1/10 and 0.6 to 6/10 = 3/5, so then

[tex]\textit{vertex of a vertical parabola, using coefficients} \\\\ y=\stackrel{\stackrel{a}{\downarrow }}{-\frac{1}{10}}x^2\stackrel{\stackrel{b}{\downarrow }}{+\frac{3}{5}}x\stackrel{\stackrel{c}{\downarrow }}{+8} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right)[/tex]

[tex]\left(-\cfrac{~~ \frac{3}{5}~~}{2\frac{-1}{10}}~~,~~8-\cfrac{\left( \frac{3}{5} \right)^2}{4\left(-\frac{1}{10} \right)} \right)\implies \left(\cfrac{~~ \frac{3}{5}~~}{\frac{1}{5}}~~,~~8+\cfrac{\frac{9}{25}}{\frac{2}{5}} \right)[/tex]

[tex]\left( \cfrac{3}{5}\cdot \cfrac{5}{1}~~,~~8+\left[ \cfrac{9}{25}\cdot \cfrac{5}{2} \right] \right)\implies \left(3~~,~~8+\cfrac{9}{10} \right)\implies \stackrel{\stackrel{\textit{maximum height}}{\qquad \downarrow }}{\underset{\underset{\textit{horizontal distance}}{\uparrow \qquad \quad }}{\left( 3~~,~~8\frac{9}{10} \right)}}[/tex]

Step-by-step explanation:

19. 4x² - 13x + 3

4x² - 1x - 12x + 3

x(4x - 1) -3(4x - 1)

x-3 4x-1

Answer:

- 4x-7: m=-4

Axis interception points of - 4x - 7 intercepts: (-7/4, 0), Y intercepts: (0, - 7)

Answer:

$56.70

Step-by-step explanation:

45 x 6% = 2.7 Multiply price of meal with the percentage of sales tax

45 x 20% = 9 Multiply price of mean with the percentage of tip

$9 is the tip amount

$2.70 is the sales tax

$45 + $2.70 + $9 = $56.70. Add the price of the meal with the sales tax and tip amount to get the total cost of the meal.

Answer:

Step-by-step explanation:

its b

Answer: 12° can be a possible angle of rotational symmetry

Answer:

nolan is 15,

Step-by-step explanation:

3*7=21-6=15

solution:

age of Jason is 7

and Ashton is 3 times age of Jason=7*3=21

Nolan age=21-6=15

therefore the age of Nolan is 15 years

Answer: No, it's not

Step-by-step explanation:

19*2=38

50-38 = 12

Alex awnsered 29 which is $17.00 off.

Answer:

8.9274

Step-by-step explanation:

you need to square both sides then add it together and then find the square root of the new number

Answer:

the answer is is c I promise

Step-by-step explanation:

I just took the test

Answer:

-23.66666667

(⅓x²-8y)

Step-by-step explanation:

(⅓x²-8y) is the simplest form :)

Answer:

k < 3  should do it

Step-by-step explanation:

Answer:

-9.6

Step-by-step explanation:

92-44/17-21

Answer:

-12

Step-by-step explanation:

Formula:

[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Identify the values:

[tex]y_2=44[/tex]

[tex]y_1=92[/tex]

[tex]x_2=21[/tex]

[tex]x_1=17[/tex]

Plugin the values; solve:

[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\frac{44-92}{21-17}[/tex]

[tex]= \frac{-48}{4}[/tex]

[tex]\bold{m=-12}[/tex]

Therefore, the slope of the line containing the points (17,92) and

(21, 44) is -12.

Answer:

a) 15, b) 36

Step-by-step explanation:

Answer:

a is 15, b is 6

Step-by-step explanation:

a. 5x+3=17. subtract 3 on both sides then u get 5x=14 then you simply by dividing by 5 on each side which gives you x= 14/5 = 2.5 so ..... 5x+1= 15

b. first you rearrange the terms to -3y+5=6, then you subtract 5 from each side so it's 3y = 1. then divide both of the equation by the same term ( -3) to get y= -1/3. so 5 - 3y² = ..... 3× -1/3 = -1 and -1² = -1 so 5 - (-1) = 6

Answer:

12

Step-by-step explanation:

The sum of the money that was  between the three friends is $8100.

Let x represent the amount of money given to the three friends to share.

Keisha, Tracey, and Kerry-Ann shared the money in the  ratio 7:9:11 respectively.

Since Kerry-Ann received $3300, hence:

(11/27) * x = 3300

11x/27 = 3300

x = $8100

The sum of the money that was  between the three friends is $8100.

Find out more at: https://brainly.com/question/2263981

4.83

answer above answer above answer above

Answer:

Step-by-step explanation:

It's the third choice. Since the triangles are given as similar and they are right triangles, points A, B, and D are all on the hypotenuses of those 2 triangles and are co-linear. The slope between all points on a single line is constant.

Answer:  40 ounces or 0.3125 of a gallon

i didnt quite understand what you were asking but here is it broken down. :)

Answer:

y=7/9x+17/9

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(5-(-2))/(4-(-5))

m=(5+2)/(4+5)

m=7/9

y-y1=m(x-x1)

y-(-2)=7/9(x-(-5))

y+2=7/9(x+5)

y=7/9x+35/9-2

y=7/9x+35/9-18/9

y=7/9x+17/9

Answer: That would be distributive

Step-by-step explanation:

Answer: 2.5kg rice costs $4.75 and 1.5kg cornmeal costs $4.38

Rice:

1kg costs $1.90

2.5kg will cost 1.90 * 2.5

                   --> $4.75

Cornmeal:

1kg costs $2.92

1.5kg costs 2.92*1.5

               --> $4.38

Answer:

D

Step-by-step explanation:

(point D)

Answer:

Point D

Step-by-step explanation:

5 units right on the x axis, 3 units down on the y-axis.

Answer:

• For this one we need to split this problem into two equations:

• a (adults) + c (children) = 560

• 2a + c = $860

• Then we substitute 560 - a for c in the second equation.

• Then we plug this into the first equation:

Step-by-step explanation:

Answer:

yes but there will be a decimal

Step-by-step explanation:

Answer:

Both the median and mean are 13

Answer:

600

Step-by-step explanation:

V = s×s×s = s³

V = 10×10×10 =1,000

Surface area

6a² = 6(10²) =600