The area of a rectangular garden is 120 square meters. The width is 4 meters longer than one-half of the length. Find the
length and the width of the garden. Use the formula, area = length • width.

Answers

Answer 1

Answer:

Step-by-step explanation:

“The area of a rectangular garden is 120 square meters.”

LW = 120

“The width is 4 meters longer than one-half of the length.”

W = 0.5L + 4

L = 2W-8

Substitution

(2W-8)W = 120

2W^2-8W-120 = 0

W^2 -4W-60 = 0

W = 10, -6

-6 is an extraneous solution.

W = 10 meters

L = 2W-8 = 12 meters


Related Questions

The graph of the function f is shown. f(0) =

Answers

Answer:

-5

Step-by-step explanation:

f(x) is a function.

f(0) means when x=0 what is the y value

We can look at the graph and when x=0 y is at -5

so the answer is -5

According to the Centers for Disease Control, about 18% of adolescents age 12-19 are obese. Suppose we take a random sample of 30 adolescents and find the proportion in our sample who are obese. We record this value. Now, repeat this many more times so that we have a great many sample proportions drawn from this population. Suppose we make a dotplot of the sample proportions. Would the dotplot be a visualization of the population distribution, the distribution of a sample, or the sampling distribution of proportions?

Answers

Answer:

the sampling distribution of proportions

Step-by-step explanation:

A sample is a small group of observations which is a subset of a larger population containing the entire set of observations. The proportion of success or measure of a certain statistic from the sample, (in the scenario above, the proportion of obese observations on our sample) gives us the sample proportion. Repeated measurement of the sample proportion of this sample whose size is large enough (usually greater Than 30) in other to obtain a range of different proportions for the sample is called the sampling distribution of proportion. Hence, creating a visual plot such as a dot plot of these repeated measurement of the proportion of obese observations gives the sampling distribution of proportions

carmen is taller than ramon but shorter than ricardo. carmen is shorter than ryan who is taller than ricardo. who is the tallest? who is the shortest?

Answers

Answer:

ramon is the shortest

ryan is the tallest

carmen is taller than ramon

carmen is shorter than ricardo

carmen is shorter than ryan

ryan is taller than ricardo

Tom had 3 times as many pencils than Max. Tom then gave 24 pencils to Max and they now had the same amount of pencils. How many pencils did they have altogether?​

Answers

Answer:

24×3=72

Sooo the answer 72✨

Whats the answer? Please help

Answers

Answer:

Answer: y=3/2x+1

To find a line that is perpendicular, invert the slope and multiply by -1

so the original slope is -2/3,

invert it to get -3/2 then multiply by -1 to get 3/2

Put the given point (-2,-2) and the new slope into point intercept form: y+2=3/2(x+2)

Rewrite in standard form to get y=3/2x+1

A spherical metal object with a mass of 13.0g has a diameter of 1.3cm. Calculate the density of the metal.

Answers

Answer:

11.304 kg/m³

Step-by-step explanation:

0.65cm radius

Volume is 1.15 cm³

.013/.00115

Write 73/22 as a decimal.

Answers

3.318 is correct.

Just divide :)

Answer:

the answer of decimal is 331.82

please help me understand this

Answers

Answer:

whats your snap ill help

Step-by-step explanation:

Martha jogged 7.8 miles. Erica jogged 0.5 times as far. How dar did erica jog

Answers

Answer: 3.9

Step-by-step explanation:

7.8 miles x 0.5 = 3.9 miles

erica jogged 16.6 miles i believe

do's and donts in handling measuring tools

Answers

Here’s your answer mate :

Answer:

I need answer too

Pleaseee help us

Someone answer right por favor

Answers

The answer is 64!

hope this helps youu!!

Answer:

64

Step-by-step explanation:

Answer: 64. 16^6 = 16,777,216 and 32^6 is 1,073,741,824. 1,073,741,824 divided by 16,777,216 is 64

3a+2b-8a+b
What is the answer

Answers

(3a) - (8a) = -5a
2b + b = 3b
-5a + 3b

Step-by-step explanation:

3a+2b+8a-b

Combine like terms

Like tems are 3a and -8a

3 a - 8 a = -5a

-5a +2b+ b

combine like terms

2b +b = 3b

therefore the answer is

-5a + 3b

Hope it helpful

How do I solve 10x = 100

Answers

Answer:

x = 10 since 10 x 10 = 100

Step-by-step explanation:


Answer:
Need help with this plz

Answers

Answer:

(a) 3x+28+5x+52+2x-10=180 (∠ sum of Δ)

                          10x+70=180

                                 10x=110

                                     x=11

(b) ∠C = 2x-10

           = 2(11)-10

           =  12°

Multiply and divide decimals.
One pound of chocolate chip cookies cost $3.79. David buys exactly 5 pounds of chocolate chip cookies. How much will the cookies cost?
State Your answer. Give Details. Explain what you did and justify Your steps.
And also, you'll get brain if u do these directions. :)

Answers

Answer:

5 pounds of chocolate chip cookies cost $18.95.

Step-by-step explanation:

If one pound of chocolate chip cookies cost $3.79, then 5 pounds of chocolate chip cookies will cost 3.79 times 5 dollars, which is equal to $18.95.

Hope this helps!

<) Madison is organizing a 10K race. She is ordering cases of bottled water for the runners.
Each case contains 20 bottles of water. Madison wants to know the number of bottles, b,
she will receive based on the number of cases she orders, c.
) The variable b is the
dependent
variable.
The variable c is the
independent
variable.
) Write an equation that gives the total number of bottles, b, when Madison orders c cases.
+
=)
C
b
20

Answers

Answer:

b= 20 • c

b is equalled to how many bottles, which c is equalled to how many cases, since there is no number for how many cases then is just the variable "c".

The equation representing the number of bottles is c = 20b

What is an equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

For example, 3x - 5 = 16 is an equation.

Given that, Madison ordered c cases of the bottle with each case having 20 bottles,

So, for c cases she will have 20b bottles.

The equation is :-

c = 20b

Here,

c is dependent variable

b is independent variable

Hence, the equation representing the number of bottles is c = 20b

Learn more about equations, click;

https://brainly.com/question/29538993

#SPJ2

The side of the base of a square pyramid is increasing at a rate of 666 meters per minute and the height of the pyramid is decreasing at a rate of 111 meter per minute. At a certain instant, the base side is 333 meters and the height is 999 meters. What is the rate of change of the volume of the pyramid at that instant (in cubic meters per minute)

Answers

Answer:

[tex]105m^3/min[/tex]

Step-by-step explanation:

We are given that

Base side of square pyramid, a=3 m

Height of square pyramid, h=9m

[tex]\frac{da}{dt}=6m/min[/tex]

[tex]\frac{dh}{dt}=-1/min[/tex]

We have to find  the rate of change of the volume of the pyramid at that instant.

Volume of square pyramid, V=[tex]\frac{1}{3}a^2h[/tex]

Differentiate w.r.t t

[tex]\frac{dV}{dt}=\frac{1}{3}(2ah\frac{da}{dt}+a^2\frac{dh}{dt})[/tex]

Substitute the values

[tex]\frac{dV}{dt}=\frac{1}{3}(2(3)(9)(6)+(3^2)(-1)[/tex]

[tex]\frac{dV}{dt}=105m^3/min[/tex]

Hence, the rate of change of the volume of the pyramid at that instant=[tex]105m^3/min[/tex]

Help
==================

Answers

Answer: 0.5

Step-by-step explanation:

17 is half of 34 and 1/2 = 0.5

Answer: 0.5  is this second grade

Let f be the function given by f(x) = x +
Vx+1
X - 1
Find and simplify f(5).

Answers

Answer:

A)4

Step-by-step explanation:

Since (3+1)^1/2=2

and 3-1=2

2/2=1

3+1=4

I need help. Please check this problem for accuracy I turn it in tomorrow.​

Answers

Answer:

you are 100% correct (^_^)

Step-by-step explanation:

A triangle has the length of 8.3 and a height of 6.4. What is the area?

Answers

Answer:

Formula Bh x 1/2, so 26.56 is your answer

Multiply 8.3 x 6.4 to get 53.12 then divide it by 2 which is 26.56

Answer:

26.56

Step-by-step explanation:

9/10 ÷ 4/10 = ???????????​

Answers

Answer:

2 1/4 or 9/4

Step-by-step explanation:

9/10÷4/10= 9/10*10/4

now simplify the 10

9/1 * 1/4= 9/4

now turn it into a mixed number

2 1/4

Answer:

2.25, 9/4 or 2 1/4

Step-by-step explanation:

One last stop before you head home. You and your friends are worn out, but you can’t help but stop for a candy apple to eat on the ride home from Snack Centra. Yum! You would like to take some home to your family, so what’s the best deal? You can purchase 5 apples for $6.25 or 8 apples for $9.25. What’s the best way to spend your last few bucks?

Answers

Answer:

8 apples for 9.25

Step-by-step explanation:

because 6.25 divided by 5 is 1.25, making each apple $1.25. and 9.25 divided by 8 is rounded to 1.16, making each apple cost $1.16.

12-x
6
x+3
4
Solve for x

Answers

Step-by-step explanation:

x = 0 (I don't know what the result of this operation is and I need it to know the x but that's what I can do)

Solve and graph the inequality |4 – v| < 5.
a. Write the inequality as two inequalities without absolute value.
b. Solve the inequality and write the solution set.
c. Graph the solution on a number line.

50 points !!!!!

Answers

Answer:

-1 < v < 9

Step-by-step explanation:

Given inequality

|4 - v| < 5

a. The two inequalities:

1.    4 - v < 5

v > 4 - 5v > -1

2.   4 - v > -5

v < 4 - (-5)v < 9

b. Solution is the combination of the above two:

-1 < v < 9

c. The graph is attached

Please look at picture

Answers

Answer:

By sum interior angle of triangle is equal to third exterior angle hence

z = x + y

No find x and y

Sum triangle is 180 degree

Write the equations of these circles.
a) Centre origin, radius 3/2
b) Centre origin, radius 0.5
c) Centre origin, radius root 3​

Answers

I attached an image cause it’s easier to explain the answers. I just want to add that if the centre of a circle is the origin it means that it has the coordinates (0,0).
Hope this helps

The equation for the circle is x² + y² = 9/4 if the Centre origin, radius 3/2, and for the Centre origin, radius 0.5 is x² + y² = 0.25.

What is a circle?

It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle).

It is given that:

The center of the circle is (0, 0) or the origin.

The radius of the circles is given.

As we know, the standard equation for the circle is:

(x - h)² + (y - k)² = r²

Here (h, k) is the center and r is the radius of the circle.

a) Centre origin, radius 3/2

Plug h = 0, k = 0, and r = 3/2

x² + y² = (3/2)²

x² + y² = 9/4

Similarly,

b) Centre origin, radius 0.5

x² + y² = 0.25

c) Centre origin, radius √3

x² + y² = 3

Thus, the equation for the circle is x² + y² = 9/4 if the Centre origin, radius 3/2, and for the Centre origin, radius 0.5 is x² + y² = 0.25.

Learn more about circle here:

brainly.com/question/11833983

#SPJ2

Pls help meeee :))))))

Answers

Answer:

A. 1.80

Step-by-step explanation:

Answer:

A. 1.80

Explanation:

Need help on this please

Answers

Answer:

Step-by-step explanation:

Because this is a quadrilateral, all the angles added up together will equal 360 degrees. By the nature of the quadrilateral, opposite angles are supplementary. Therefore, 180 - 115 will equal angle K:

180 - 115 = 65 degrees

The measure of an angle is 44°. What is the measure of its complementary angle?

Answers

i believe it would be 46. not sure tho
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