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

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.

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

Answers

Answer:

The annual interest rate is 12.05%

Step-by-step explanation:

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:

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

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:

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)

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]

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

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

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

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

Answers

Answer:

13

Step-by-step explanation:

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:

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

\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%

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

HEEEEEEEEEEELPPPPPPPPP PLEASEEEEEEE URGENT 15 POINTS+ MORE

Answers

Answer:

y - 70, x - 73 should be the answer

Step-by-step explanation:

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:

Help pleasee!!!!!!!!

Answers

Answer:

5

Step-by-step explanation:

40/8 is 5 and that is my explanation

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

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

I NEED HELP REALLY BAD

Answers

The answer is 40 degrees.

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.

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 1+(-5) find the solution​

Answers

Answer:

kanye west x jeffree star

Step-by-step explanation:

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

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].

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

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

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.

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