The length of a rectangular cement patio is 3 feet less than three times the width. The sum of the length and width of the patio is 21 feet. Find the length of the patio.

Answers

Answer 1

Answer: The length is 15 feet.

Step-by-step explanation:

L = 3w - 3 (length is 3 feet less than three times the width)21 = w + (3w -3)21 = 4w - 3 (add like terms)24 = 4w (substract 3 from both sides)6 = w <-- width

But, the problem is asking for the length...

L = 3w - 3L = 3(6) - 3L = 18 - 3L = 15 ft


Related Questions

Best buy is having 20 percent off deals on TVs. if the TV cost $415 in total, how much would you pay with the discount? ​

Answers

Answer:

$332.00

Step-by-step explanation:

what is 1+(-5) find the solution​

Answers

Answer:

kanye west x jeffree star

Step-by-step explanation:

Step by step explanation

Answers

Answer:

[tex]\huge\boxed{\sf x =\frac{7}{2} , y = -3}[/tex]

Step-by-step explanation:

2x + 4y = -4 ------------------------(1)

3x + 5y = -3 ------------------------(2)

Multiply Eq. (1) by 3

3(2x + 4y) = -4 * 3

6x + 12y = -12 ---------------------(3)

Multiply Eq. (2) by 2

2(3x + 5y) = -3 * 2

6x + 10y = -6 ---------------------(4)

Subtract Eq. (4) from (3)

6x + 12y - ( 6x + 10y ) = -12 - (-6)

6x + 12y - 6x - 10y = -12 + 6

12y - 10y = -6

2y = -6

Divide 2 to both sides

y = -6 / 2

y = -3

Put y = -3 in Eq. (1)

2x + 4(-3) = -5

2x - 12 = -5

Add 12 to both sides

2x = -5 + 12

2x = 7

Divide 2 to both sides

x = 7 / 2

So,

x = 7 / 2 , y = -3

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

I NEED HELP REALLY BAD

Answers

The answer is 40 degrees.

helpp!!! very easy question

Answers

Answer:

The answer is D, E, F  or it is also D to F

Step-by-step explanation:

9514 1404 393

Answer:

  A and B

Step-by-step explanation:

Speed is the change in distance divided by the change in time. That is, it is the slope of the distance vs. time curve. A steeper slope corresponds to a greater speed.

Between A and B, the slope is (30-0)/(1-0) meters/time-unit = 30 m/u.

Between B and C, the slope is (30-10)/(4-1) = 20/3 = 6 2/3 m/u.

Between C and D, the slope is 0.

Between D and F, the slope is (50-10)/(10-6) = 40/4 = 10 m/u.

The greatest slope is between A and B.

The object has the greatest speed between points A and B.

can someone please help!!! pls do not comment to get points, i will report

Answers

Answer:

25) A 26) B 27) y=-3/5-6 28) y=-15/18+4 29) y=5/4+12 30) y=-4x+3

Step-by-step explanation:

25) the line perpendicular would have the equation of y=-1/4x+b. In A, I plug in those to coordinated and they both have b as equal to -2 so they are both in the same line.

26) Find the slope of those two points (-1). Parallel lines means same slope but different y-intercepts and only B has a slope of -1.

27) Substitute those two points into the formula equation y=mx+b and solve for b

28) Solve for the slope and then solve for b by substituting

29) Write that equation into slope intercept form (y=5/4x-1). Parallel lines has the same slope but different y-intercepts. Use that slope of 5/4 and substitute those coordinates

30) Write the equation into slope intercept form (y=1/4x-5). Perpendicular lines have opposite reciprocal slopes. Find the opposite reciprocal of that slope and then substitute those coordinates

Hopefully I was able to help

4
Drag each value and expression to the correct location on the equation. Not all values and expressions will be used.
A patch of farmland is currently worth $78,125. The expected increase in its market value can be modeled by the function below, where tis the
time in years.
P(t) = 78,125 0.025:
How many years will it take for the farmland's market value to reach $125,000?
6.4
In(1.6)
0.025
18.8
13.6
years
years
Reset
Next

Answers

Answer: t = 18.8 years

Step-by-step explanation: The modeled function is an exponential function:

[tex]P(t)=78,125e^{0.025t}[/tex]

which is farmland worth along time.

To determine when the farmland will be worth $125,000:

[tex]125,000=78,125e^{0.025t}[/tex]

[tex]e^{0.025t}=\frac{125,000}{78,125}[/tex]

[tex]e^{0.025t}=1.6[/tex]

Apply natural logarithm:

[tex]ln(e^{0.025t})=ln(1.6)[/tex]

And then, power rule:

[tex]0.025t=ln(1.6)[/tex]

[tex]t=\frac{ln(1.6)}{0.025}[/tex]

t ≈ [tex]\frac{0.47}{0.025}[/tex]

t ≈ 18.8

After 18.8 years, the farmland will reach market value of $125,000.

Answer:

Step-by-step explanation:

For all Plato users.

HEEEEEEEEEEELPPPPPPPPP PLEASEEEEEEE URGENT 15 POINTS+ MORE

Answers

Answer:

y - 70, x - 73 should be the answer

Step-by-step explanation:

Help pleasee!!!!!!!!

Answers

Answer:

5

Step-by-step explanation:

40/8 is 5 and that is my explanation

10y + x = -100
can someone help me get Y by it self

Answers

Step-by-step explanation:

10y+x=-100

10y= -100 - x

y= -100 - x/ 10

y= -10 - x/10

If x = 3 and y = 8 , evaluate the following expression: y − x

Answers

Answer:

5

Step-by-step explanation:

y-x

8-5 = 5

The value of the expression y - x is 5.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

y - x

The value of y - x when x = 3 and y = 8.

= y - x

= 8 - 3

= 5

Thus,

The value of the expression is 5.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ2

You want to estimate how many fish there are in a pond. Suppose you cature 140 fish, tag them, and throw them back into the pond. After a couple of days, you go back to the pond and capture 420 fish, of which 28 are tagged.

Answers

Answer:

2,100

Step-by-step explanation:

Calculation to Estimate the number of fish in the pond.

Estimated Number of fish=420 fish*140 fish/28

Estimated Number of fish=58,800/28

Estimated Number of fish=2,100

Therefore the Estimated number of fish in the pond will be 2,100

The total number of fish in the pond is 2100

Let y represent the total fish in the pond.

Data obtained from the question Tagged fish in pond = 140Captured fish = 420Captured tagged fish = 28Total fish = y =?

The estimated fish in pond can be obtained as follow:

Tagged in pond / Total in pond = captured tagged fish / Captured fish

140 / y = 28 / 420

Cross multiply

y × 28 = 140 × 420

y × 28 = 58800

Divide both side by 28

y = 58800 / 28

y = 2100

Thus, the estimated fish in the pond is 2100

Learn more about estimation:

https://brainly.com/question/9583992

answer this. please.

Answers

Answer:

D

Step-by-step explanation:

I would say D because youre trying to find red and blue so green and brown dont matter to the problem. If 12÷6= 2 then. do 60÷2=30 so they can be drawn about 30 times

4x^2 - 12x - 3

what would the answer be if x = 7

Answers

Answer:

4(7)^2-12(7)-3

4×49-84-3

112-3

109

Answer: Your correct and final answer should be 109.

Step-by-step explanation:

All you need to do solve this problem is substitute for X using 7. {After you you plug just use PEMDAS and solve from left to right or use a calculator}

4(7)^2 -12(7) -3

4×49 -84 -3

112-3 = 109

I found the answer on multiple sites but can somebody please help me with the explanation as I did not find that anywhere.

Answers

Answer:

Explanation thing

Step-by-step explanation:

The larger the angle, the farther the opposite side is .  (For example, the angle representing Dallas shows the rank of distance from Abilene and Austin)

\dfrac{23}{50} 50 23 ​ start fraction, 23, divided by, 50, end fraction of Xander's friends prefer to stay home on Friday nights. What percent of Xander's friends prefer to stay home on Friday nights? \%%

Answers

Answer:

46%

Step-by-step explanation:

Given that:

23/ 50 of Xander's friend prefer to stay at home;

Total number of friend's = 50

Number who prefer to stay home = 23

Hence, percentage who prefer to stay at home :

(23 /50) * 100%

0.46 * 100%

= 46%

The hypotenuse of a triangle is 37 millimeters long. One of the legs is 24.5 millimeters long. What is the measure of the missing leg? Round to the nearest tenth, if necessary.

Answers

Answer: 27.7 millimeters

Step-by-step explanation:

Let the missing leg be represented by x.

We will use Pythagoras formula to solve this. The measure of the missing leg will be:

x² = 37² - 24.5²

x² = 1369 - 600.25

x² = 768.75

x = ✓768.75

x = 27.7

The missing leg is 27.7 millimeter

Super store buys a basketball for $8.00 and marks it up by 40% . Find the markup amount and the selling price .


PLEASE HELP ITS DUE IN 20 MIN !

Answers

If your cost is $8.00 and you wish to markup that price by 40%, 80% + 40% = 120%. Divide the $8.00 cost by 120% and get the retail price of $15.00. Therefore, the markup amount is $7.00 ($15.00 - $8.00 = $7.00) and the selling price is $15.

Answer:

please give the other person brainliest

Step-by-step explanation:

PLEASE HELP URGENT!!

An irregular polygon is shown below:

A: 21 Square Inches

B: 22 Square Inches

C: 26 Square Inches

D: 29 Square Inches

Answers

Answer:

[tex]26\:\mathrm{in^2}[/tex]

Step-by-step explanation:

The irregular polygon is made of a large rectangle with two smaller rectangles cut out of it. Therefore, we can find the area of the large rectangle and subtract these two smaller rectangles:

[tex]10\cdot 5-2\cdot3\cdot4=50-24=\fbox{$26\:\mathrm{in^2}$}[/tex].

55) A shirt that usually costs $30 is on sale for $20. Find the percent of
the discount.

Answers

Find the amount of the discount and divide by the original price:

30-20 = 10

10/30 = 0. 333

Multiply by 100 for percent:

0.333 x 100 = 33.3333%

Round the answer as needed.

Answer:

Percentage of Discount :---

[tex] \frac{(30 - 20)}{30} \times 100 = \frac{10}{30} \times 100=\boxed{33.33\%}[/tex]

at the neighborhood block party, k'neisha noticed that every 5 minutes, the shadow of a nearby pine tree got six inches longer. at 4:00 pm, the shadow was 12 feet long. How long was the shadow at 5:00 pm

Answers

Answer:

18 feet

Step-by-step explanation:

60 mins an hour

5 mins + 6 inches

60/5=12

12*6 = 72

12 feet +72 inches

72 inches = 6 feet

18 feet

A wind blowing in the direction 0o causes an airplane to drift up 15o from its' original heading of 90o. The ground speed is 336km/hr. Find the airspeed of the plane

Answers

Answer:

324.6 km/hr

Step-by-step explanation:

Since the plane drifts up 15° from its original heading of 90°, it is at a bearing of 90° - 15° = 75°.

Now, since its ground speed is 336 km/hr, its air speed, v is the horizontal component of its ground speed since the wind is blowing in the 0° direction. So, v = (336 km/hr)sin75°

= 324.55 km/hr

≅ 324.6 km/hr

Determine which quadrilaterals match the figure parallelogram, rhombus, rectangle, or square? Select all
that apply.
X
W
Z
Given: m 2WXY = 130°,m XWZ = 50°, ZWZY = 130°
A
parallelogram
B.
rectangle
C
square
D
rhombus

Answers

Answer:

(A) Parallelogram is the right answer.

if you have to do 198 assignments in 27 days how many assignments should you do daily?

Answers

You would need to do about 7.33

Answer:

8 assignments a day

Step-by-step explanation:

please help me it's in like 10 minutes..................

Answers

Answer:

The annual interest rate is 12.05%

Step-by-step explanation:

HELP ME IM USING ALL MY POINTS MULTIPLE QUESTONS PLZ

Answers

hope it will help you.........

Answer:

UV=UZ+ZV

Step-by-step explanation:

UV=3y-5+2z+2

=3y+2y-3

but UV =27=3y+2y-3

30 =3y+2y

bisect means cut in to two equal parts so

3x+3=3y+6

3x-3y=6-3

3x-3y=3

then combine the two equation

30 =3y+2y this is 30=5y which is y=6

3 = 3x-3y so enter y=6 into this equation

3=3x-3*6

3=3x-18

3x=21

x=7

What is the value of x?

Answers

Answer:  10^2 = x^2 plus 6^2

100= x^2 + 36

64=x^2

8

Step-by-step explanation:

Which type of function is shown in the table below?

Answers

Answer:

Linear function

Step-by-step explanation:

None of the X values repeat so its Linear

In five games of bowling. Gabes combined score was 380. Find his score per game. Round to the nearest tenth of a cent when necessary
HELP PLEASE

Answers

Wouldn’t it be 380 ÷ 5

Which would be 76
Or am I missing something

What is the smallest degree of rotation that will map a regular 15-gon onto itself

Answers

Answer:

13

Step-by-step explanation:

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