HELP PLS!!

A landscaper wants to create a rectangular patio in a backyard. He wants it to have a total area of 148 square feet and it should be 8 feet longer than it is wide. What dimensions should he use for the patio? Round to the nearest tenth of a foot if necessary

Answers

Answer 1

Answer:

L=16.8

w = 8.8

Step-by-step explanation:

L = x +8

w = x

x(x+8) = 148

x^2 + 8x = 148

x^2 + 8x - 148 =0

a = 1

b = 8

c = - 148

x = [tex]\frac{-8 +/- \sqrt{8^2 + 4*1*(-148)} }{2}[/tex]

(x - 8.8)(x + 16.8) =  0

(x + 16.8) is an extraneous root.

x = 8.8 which is the width

L = 16.8


Related Questions

Pls help me with this question.

Answers

Answer:

x=1

Step-by-step explanation:

[tex] \frac{5(x + 6) - 15(2 - x)}{3x - 1} = 10 \\ [/tex]

[tex] = > 5(x + 6) - 15(2 - x) = 10(3x - 1)[/tex]

[tex]5x + 30 - 30 + 15x = 30x - 10[/tex]

[tex] = > 20x = 30x - 10 \\ = > 20x - 30x = - 10 \\ = > - 10x = - 10 \\ = > x = 1[/tex]

hope it helps:)

Start by expanding the numerator.

5x+30-30+15x / 3x-1 = 10

Simplify.

20x / 3x-1 = 10

Multiply both sides by the denominator.

20x = 30x-10

Divide both sides by 20.

x = 3/2-1/2

Subtract the fractions.

x = 1

A rectangular field is 10m longer than wide. The area of the field is 2000m². Find the perimeter of the field.

Answers

Answer:

180m

Step-by-step explanation:

Let L = length of field,

W = width of field,

A = field area = 2000 m^2

Lenght = Width + 10m

Let Lenght= x

Width=y

A = X ×Y = (Y + 10)Y= 2000

Y^2 + 10Y- 2000 = 0

Solving using Quadratic eqn with plot

Y= 40 or -50 but we go for the positive root

Width=40m

Length= 40m +10m

= 50m

Perimeter= 2(l+w)

=2(50+40)

180m

Hence, the perimeter is 180 m

CHECK THE ATTACHMENT FOR THE QUADRATIC PLOT

Let x denote the number of broken pencils in a randomly selected 50-count box from a local office supply store. The variable x has the
following probability distribution:


a)
0.82; if we were to select many boxes of pencils randomly, the number of broken pencils would typically vary about 0.82 from the
mean
b)
0.31; if we were to select many boxes of pencils randomly, we would expect about 0.31, on average, to contain broken pencils
c)
0.65; if we were to select many boxes of pencils randomly, the number of broken pencils would typically vary about 0.65 from the
mean
d)
0.52; if we were to select many boxes of pencils randomly, we would expect about 0.52 to have no broken pencils
e)0.13; if we were to select many boxes of pencils randomly, we would expect about 0.13, on average, to contain broken pencils

Answers

Answer:

0.82

Step-by-step explanation:

I literally took the test

You run the same speed every day. Saturday you ran 4 miles in 32 minutes. On Sunday you ran 3 miles in m minutes.
36 minutes
12 minutes
28 minutes
24 minutes

Answers

Answer: 24 minutes, all you have to do is 4/32 which equals 8 then you do 3x8 which equals 24 :)

Step-by-step explanation:

4 miles =32

3 miles=m

32×3=4m

96=4m

m=96/4

=24

if g(x) =x -7, what if the value of x when g(x) =6

Answers

Answer:

x=13

Step-by-step explanation:

1. Place 6 in

6=x-7

2. Evaluate

x=6+7

x=13

the post for Nancy's gazebo form a regular hexagon what is the measure of the angle formed at Each corner of the gazebo ​

Answers

Answer: 120 degrees, the total is 720 degrees, so that divided by 6 is 120

Evaluate the expression when a = 17 and c = 7.
²
a+c
a-2c

Answers

A+c
17+7=24
a-2c
17-2(7)=3

Answer:

Step-by-step explanation:

a + c = 17 + 7 = 24.

a - 2c = 17 - 2(7) = 3.

1 point
Frank spent 18 dollars at Wawa, now he has no money left. How much did
he start with? *
36
24
0
18

Answers

I think the answer will be 18
The answer will be 18, he started off with 18 dollars and ended with none, so if we reverse it, it’ll be 18-0=__ and 18-0=18 so the answer is 18.

I need help in this

Answers

Answer:

x = 4

Step-by-step explanation:

Since the rectangles are similar, use a ratio.

15/6 = 10/x

or

6/15 = x/10

I will use 15/6 = 10/x to solve this problem, but both ratios should work to solve this problem.

15/6 = 10/x

Cross Multiply:

6(10) = 15x

Solve:

60 = 15x

x = 4

Help pleasee! Thank uu

Answers

Answer:

The answer is the 2nd option

Step-by-step explanation:

..................the y intercept

6 boy students make up 24% of the total class how many total students are in class

Answers

Answer:

There are 25 students in the class.

Step-by-step explanation:

1. Set up an equation. The equation would be 6 = 24/100x.

2. Solve the equation. You can solve this by multiplying both sides by 100/24, and 100/24 * 6 = 25. You would then get that x = 25, which means that the number is 25.

Answer:

25 students

Step-by-step explanation:

25 x 0.24 = 6

In the following figure, find the value of x

Answers

Answer:

18

Step-by-step explanation:

All the angles added up will equal 180 degrees (recall a straight line has an angle of 180 degrees).

Therefore, you can create the following equation and solve for x:

[tex]2x+3x+2x+3x=180\\10x=180\\x=\frac{180}{10}\\x=18[/tex]

Answer:

x=18

Step-by-step explanation:

equation: 90=2x+3x

I will mark brainliest thanks

Answers

-7, -2. It is the same y but opposite x

Answer:

B

Step-by-step explanation: it All Becomes Negative if it is Reflected

A skateboarder is shown below.
we
z
At which point is the skateboarder's potential energy the greatest?
Point X
Point Y
Point W
Point Z

Answers

I think the answer you’re looking for is
Point Y
-I hope this helps! Enjoy the rest of your day

Answer:

answer is w

Step-by-step explanation:

Another one!

I don´t get how to solve it please explain

Answers

Answer:

B. 16.9

Step-by-step explanation:

Reverse Pythagoreans theorem C^2 - B^2 = A^2 so

7^2 - 5^2 = c^2 and it comes out to

49-25 = 24 the square root of that is 4.9 (rounded)

But we are lookign for the perimeter so

4.9 + 7 + 5 = 16.9

What it 12/14<9=
I really need help on this :

Answers

Answer:

This isn't a real question... but i can explain what you gave. 12/14 is less than 1, so it is less than 9.

. An amusement park bought some arcade games that cost $2,000 each and photo booths that cost $3,200 each. A total of 22 of both types of machines were bought, for $53,600. How many arcade game machines did the park buy ?

Answers

Answer:

maybe 900 arcade games..good luck

PLEASE help i have tried to do this many times but still don’t understand

Answers

Answer:

33 is the correct answer

Bryan and Yuan started out at their houses and are biking towards each other. Bryan started
out first, and has already gone 5 miles. He bikes at a constant speed of 3 miles per hour.
Yuan just left, and rides at 4 miles per hour. When the boys meet halfway between their
houses, they will continue to the park together. How long will that take? How far will each
boy have ridden?

Answers

Answer:

Bryan and Yuan will meet after 5 hours, having traveled 20 miles each.

Step-by-step explanation:

Given that Bryan and Yuan left their homes at different periods of time and at different speeds, to determine how long they will meet and how much distance they will have traveled, the following calculation must be performed:

B = 5 + (3X)

Y = 4X

B = 5 + 3x2 = 11

Y = 4x2 = 8

B = 5 + 3x3 = 14

Y = 4x3 = 12

B = 5 + 3x4 = 17

Y = 4x4 = 16

B = 5 + 3x5 = 20

Y = 4x5 = 20

Therefore, Bryan and Yuan will meet after 5 hours, having traveled 20 miles each.

I need help, I’ve been trying to figure out answers and I’m not getting anywhere is there anyone who could help me with (work shown)

Answers

Convert to slope intercept form and then find equation that will have a negative reciprocal of the slope

Answers is A

2x²+30y-3y²+4xy-14-x


Option 1,2,3 or 4?

Answers

there’s no alike terms so it would be option 3

Could anyone help me out please?

Answers

The answer is $95.55

Answer:

19.6

I am not sure of my answer

What do 5a represent in f(x)=5ax​

Answers

Answer:

[tex]y = mx + c \\ f(x) = 5ax[/tex]

By comparing both the equation we get that,

5a represent a slope in f(x)

Using the formula Distance = rate . time, find the distance covered by an airplane flying at 300 mph for 3 hours.

Answers

900. If your formula is correct, you only have to multiply 300 by 3

evaluate 1/6t + 5/18 when t = 1/3

1/6(__)+5/18=_/_+5/18​

Answers

Answer:

[tex] \frac{1}{6} t + \frac{5}{18} \\ (\frac{1}{6} \times \frac{1}{3} ) + \frac{5}{18} \\ \frac{1}{18} + \frac{5}{18} = \frac{(1 + 5)}{18} \\ \frac{6}{18} = \frac{1}{3} [/tex]

1/3 is the right value of the given equation.

A market research survey has 15 questions and will be sent to 500 people. What is the total cost to conduct the survey if it has a $1,000 base fee plus $5 per question and $2 per person surveyed?

Answers

Answer:

Total cost to conduct survey = $2075

Step-by-step explanation:

Given that:

Number of questions on survey = 15

Number of people = 500

Base fee = $1000

Per question charge = $5

Per person surveyed = $2

Let,

q be the number of questions

p be the number of people

Total cost = Base fee + 5q + 2p

Total cost = 1000 + 5(15) + 2(500)

Total cost = 1000 + 75 + 1000

Total cost = $2075

Hence,

Total cost to conduct survey = $2075

On Monday, Vanessa and Ishaan decided to see how fast they could sprint 200 meters. They asked their friend, Luis, to time them with a stopwatch.

Vanessa sprinted first and ran 200 meters in 54.91 seconds. When it was Ishaan's turn, he sped off and completed the run in 46.07 seconds.

How much faster was Ishaan than Vanessa?


Answer: seconds faster

Answers

Answer:

22

Step-by-step explanation:

SOMEONE PLEASE HELP ME IM STRESSED OUT ILL GIVE OUT BRAINLIEST PLEASE DON’T ANSWER IF YOU DON’T KNOW THANK YOU

Answers

Answer:

$88

Step-by-step explanation:

first, you find 20% of 57 which = 11.4

then subract it with 57 which looks like 57-11.4 = 45.6

= 45.6

first, you find 20% of 53 which = 10.6

then subract it with 53 which looks like 53-10.6 = 42.7

= 42.4

then you add them both  which = 45.6+ 42.4= 88

Which number is not a factor of 12 and a multiple of 6

Answers

42 is the correct answer

Answer:

ummmm 5 ..............

Evaluate y=−4x+3, for x=4.

Answers

Answer:

y = -13

Step-by-step explanation:

Given

x = 4

y = - 4 * 4 + 3

= - 16 + 3

= - 13

Hope it will help :)

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