The length of rectangular garden is 6 feet longer than the width. If the area of the garden is 16 square feet, find the length and width of the garden.

The length is __________ ft

The width is ___________ ft

Answers

Answer 1

Answer:

The length is 8 ft.

The width is 2 ft.

Step-by-step explanation:

A = l*w

l = w + 6

16 = w(w + 6)

16 = w^2 + 6w

w^2 + 6w - 16 = 0

(w + 8)(w - 2) = 0

w = -8ft or 2ft

Since lengths cannot be negative in reality, w = 2ft.

l*2 = 16

l = 8ft


Related Questions

1.ILL GIVE BRAINIEST FOR ANSWER
Chan invested $12,500 in a savings account that pays 2.5% simple interest. How much interest does
he earn each year?
F $350.50
G $312.50
H $322.50
J $325.50

Answers

Answer:

Step-by-step explanation:

21 students are going on a field trip and 3 students are staying at school what is the ratio of the numbers of students who are going on a field trip to the number of students who are staying at school?

Answers

Answer:

21/3 or 7/1

Step-by-step explanation:

Answer:

21/3

Step-by-step explanation:

hope this helps you

The radius of a circle is 3 centimeters. What is the circle's area?

Answers

Answer:

If the circle's radius is 3, then its area is 28.27 cm.

Step-by-step explanation:

A circle's area is equal to (A = π r²).

Plug in the radius for R, and your equation should look like the following:

A = π3²

According to PEMDAS, you have to do the exponent first.

Do 3 squared, THEN multiply what you get by pi.

Then what you get should be your area.

Hope this helped !!

Does john short qualify for overtime? Explain

Answers

Answer:

?

Step-by-step explanation:

P=(L+B), then B=_____?

Answers

Answer:

P = L+B

B = P-L

Hope it helps

student were asked to choose their favorite food and 5/6 chose either pizza or tacos if 2/6 of the students chose pizza what fraction chose tacos

Answers

Answer:

3/6 or 1/2

Step-by-step explanation:

the amount that chose pizza = 2/6

5/6 = the amount that chose pizza + the amount that chose tacos

5/6 = 2/6 + the amount that chose tacos

the amount that chose tacos = 5/6 - 2/6

the amount that chose tacos = (5-2)/6

the amount that chose tacos=3/6=1/2

Answer:

3/6

Step-by-step explanation:

If f(x)= 2(3 to the power of x) +1 what is the value of f(2)

Answers

Answer:

19

Step-by-step explanation:

f(x)= 2(3^x) + 1

f(2)= 2(3^2) + 1

= 2(9) + 1

= 18 + 1

= 19

In a certain clothing store 6 shirts and 3 ties cost $79.50 and 3 shirts and 2 ties cost $41 determine the cost of each shirt

Answers

9514 1404 393

Answer:

  $12 for each shirt

Step-by-step explanation:

If we let 's' and 't' represent the costs of a shirt and tie, respectively, then we can write the general form equations ...

  6s +3t -79.50 = 0

  3s +2t -41.00 = 0

The solution for s can be found using the "cross multiplication" technique.

Differences of products can be formed:

  d1 = (6)(2) -(3)(3) = 3

  d2 = (3)(-41) -(2)(-79.50) = 36

Then we have ...

  1/d1 = s/d2   ⇒   s = d2/d1 = 36/3 = 12

The cost of each shirt is $12.00.

___

2 ties cost 41-36 = 5, so each one is $2.50.

_____

Additional comment

The use of simple elimination on this set of equations would eliminate the s-variable, so would mean additional work to find s after finding t. The t-variable could be eliminated by multiplying one equation by one coefficient, and the other by a different coefficient. As long as we're doing that amount of work, we may as well do just enough cross-multiplication to get the one answer we need. This is where the "cross-multiplication" method of solution comes in handy.

This method solves the general-form equations ...

ax +by +c = 0dx +ey +g = 0

by considering the two rows of coefficients:

a, b, c, ad, e, g, d

Then differences of cross-products are formed in adjacent columns:

  d1 = ae -db

  d2 = bg -ec

  d3 = cd -ga

The solutions are ...

  1/d1 = x/d2 = y/d3   ⇒   x = d2/d1, y = d3/d1

PLEASE HELP!!!!!!!!!!!!!!!!!!!!!1111 I REALLY NEED HELP I A, BEGGIN YOU GUYS!!!!!!!!!!!!!!!!!!!!!!!!!!! ILL GIVE BRAINLIEST AND EXTRA POINTS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

Equivalent: 6(y - 3) AND 2(3y - 9)

Not Equivalent: 3(y - 6) AND 2(y - 9)

Step-by-step explanation:

4y - 2(5 - y + 4)

4y - 2(9 - y)

4y - 18 + 2y

6y - 18 (Everything must be equivalent to this)

3(y - 6) NOT EQUIVALENT

3y - 18

6(y - 3) EQUIVALENT

6y - 18

2(y - 9) NOT EQUIVALENT

2y - 18

2(3y - 9) EQUIVALENT

6y - 18

What is the value of 5 units as a mixed number

Answers

5integer 0/1 is the mixed fraction of 5 units

Mean (M) = 6, Standard deviation (SD) = 2.45,
calculate the z-score for the specified raw score of 4.

Answers

Answer:

z = -0.816

Step-by-step explanation:

z = (x-μ)/σ

z = (4-6)/2.45

z = -0.816

i need help on this one too sorry to ask much

Answers

Answer:

I can't really see the pic :(

Step-by-step explanation:

Answer:

8^2

Step-by-step explanation:

8*8=8^2 or 64

6x-23+3m in standard form

Answers

Answer:

6x-23+3m

6x+3m-27 we can't add them b/c they have d/t

variables so the answer is 6x+3m-27

Find the surface area of the figure below

Answers

9514 1404 393

Answer:

  144 square meters

Step-by-step explanation:

The formula for surface area of a cuboid is useful.

  A = 2(LW +H(L+W))

  A = 2((6 m)(6 m) +(3 m)(6 m +6 m)) = 2(36 m² +36 m²)

  A = 144 m²

The surface area of the figure is 144 square meters.

Sharon needs 3 pounds of turkey for every 2 people that are attending her dinner party.

How many people can she feed with 30 pounds of turkey?

Answers

She can feed 10 people

Answer:

yeah 10 people

divide the 30 lbs with 3 (because she can feed 2 people with 3 lbs) and yeah

What equals 18 to the third power

Answers

18 to the third power is 5832.

Answer:

5832

Step-by-step explanation:

18 × 18 = 324

324 × 18 = 5832

Select all numbers that have and absolute value of 0.6

Answers

I needed help on this... Answer:
l-0.6l and 0.6 and l 0.6 l
Step-by-step explanation:
a number in l x l for is to be changed to positive if not already!

A spider is trying to climb a wall that is 15 metres high. In each hour, it climbs up 3 metres, but falls back 2 metres. In how many hours will it reach the top of the wall?​

Answers

In 15 hours

That or 13 hours, if we don’t include the fall back for the last one tho I highly doubt that so go with 15

The spider needs 15 hours to climb up the top of the wall.

What is a word problem?

A word problem is a verbal description of a problem situation. It consists of few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.

For the given situation,

A spider is trying to climb a wall of height = 15 meters

In each hour, it climbs up 3 meters but falls back 2 meters,

⇒ [tex]+3-2=1[/tex]

Thus spider climbs 1 meter per hour.

For 15 meter wall, the spider needs 15 hours to climb up the wall.

Hence we can conclude that the spider needs 15 hours to climb up the top of the wall.

Learn more about word problems here

brainly.com/question/20594903

#SPJ2

Is 9a^2 +25 the difference of 2 squares?
Yes
No

Answers

[tex]\huge\text{Hey there!}[/tex]

“ [tex]\mathsf{Is\ 9a^2 +25\ the\ difference\ of\ 2\ squares?}[/tex]

[tex]\textsf{Well, when you see or hear the word difference it usually MEANS SUBTRACT}\\\textsf{or SUBTRACTION especially in MATHEMATICS!}[/tex]

[tex]\mathsf{\bold{+}\ usually\ means\ sum\ or\ more\ than}[/tex]

[tex]\textsf{So therefore to \boxed{\textsf{Answer}} to this giving question \boxed{\boxed{\huge \text{\bf No}}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day}[/tex]!

~[tex]\frak{Amphitrite1040:)}[/tex]

2 minutes is how many seconds

Answers

120 seconds
1 min = 60 seconds

Answer:

120

Step-by-step explanation:

2*60 = 120

Another group held a dance to raise money for charity. Pre-Sale tickets were $2.00 Less than tickets purchased at the event. They sold 54 pre-sale tickets and 82 tickets at the event. The group raised $980 from total ticket sales. How much did they charge for tickets at the event ?

Answers

Answer:

for the regular tickets they charged $8 for the pre sale the charged $6

calculate the area of a triangle

Answers

Answer:

Area of triangle formula is ;

[tex] \frac{1}{2} bh[/tex]

Your teacher has disabled instant marking. Your marks will appear after the due date.
There are 1200 students at a school.
Each student has either a packed lunch or a school dinner.
62% of the students have school dinners.
55% of the students are girls.
45% of the girls have packed lunches.
62%=
How many boys have school dinners?
You must show all your working.

Answers

Answer:

38

Step-by-step explanation: 100 - 62= 38

I am not sure of my answer tho

In a benchmark study, a fast food restaurant had an average service time of 2.4 minutes. Assume that the service time for the fast food restaurant has an exponential distribution. (Round your answers to four decimal places.) (a) What is the probability that a service time is less than or equal to one minute

Answers

Answer:

[tex]P(x \le 1)= 0.9093[/tex]

Step-by-step explanation:

Given

[tex]\lambda = 2.4[/tex] -- mean

Required

Determine [tex]P(x \le 1)[/tex]

This is calculated using:

[tex]P(X \le x)= 1 - e^{-\lambda x}[/tex]

So:

[tex]P(x \le 1)= 1 - e^{-2.4 * 1}[/tex]

[tex]P(x \le 1)= 1 - e^{-2.4}[/tex]

[tex]P(x \le 1)= 1 - 0.0907[/tex]

[tex]P(x \le 1)= 0.9093[/tex]

In FGH, what is the measure of H?


42°
43°
68°
69°

Answers

It will be 43 degrees

In the square pyramid shown, points and are midpoints of the edges of one face. If the figure is sliced through points and and through the base, which best describes the shape of the resulting cross section? The picture shows a triangular prism. M and N are the points on the prism. A. rectangle B. trapezoid C. quadrilateral D. parallelogram

Answers

Based on the given information, we have a square pyramid with points M and N being the midpoints of the edges of one face. and forms a parallelogram. Option D

Since the base of the pyramid is a square, the cross section will consist of a square shape. Additionally, since the slice is made through the midpoints of the edges of the face, the resulting cross section will have parallel sides.

Considering these characteristics, we can conclude that the shape of the resulting cross section is a parallelogram. A parallelogram is a quadrilateral with opposite sides parallel. In this case, the opposite sides of the square cross section will be parallel, as the slice passes through the midpoints of the edges.

Therefore, the correct answer is D. parallelogram.

It's important to note that a triangular prism is not the correct answer because a triangular prism is a three-dimensional figure with two triangular bases and three rectangular faces. The cross section resulting from the given slice will not have the characteristics of a triangular prism. Option D.

For more such questions on midpoints visit:

https://brainly.com/question/28667736

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Given the function h(x) = 2.25x, find h(2)

Answers

Answer:

h(2)= 4.5

Step-by-step explanation:

h(x)=2.25x

h(2)=2.25(2)

= 4.5

Answer:

Hi! The answer to your question is 4.5

Step-by-step explanation:

To find h(2) we just have to find x in the equation and replace it with a 2

h(x)=2.25(2)

h(x)=2.25(2)=4.5

※※※※※※※※※※※※

⁅Brainliest is greatly appreciated!⁆

- Brooklynn Deka

Hope this helps!!

F’(x)= 1+3 square root x f(9)=68

Answers

Answer:

[tex]f(x) = x + 2x^\frac{3}{2} + 5[/tex]

Step-by-step explanation:

I'm assuming the question here is asking for f(x)

The first step would be to find the antiderivative of f'(x)

[tex]\int{1+3\sqrt{x}} \, dx = \int{1 + 3x^\frac{1}{2}} dx[/tex]

Apply the reverse power rule

[tex]x + 2x^\frac{3}{2} + C[/tex]

Now solve for C when x = 9

[tex]x + 2x^\frac{3}{2} + C = 68\\9 + 2(9)^\frac{3}{2} + C = 68\\9 + 2(27) + C = 68\\9 + 54 + C = 68\\63 + C = 68\\C = 5[/tex]

Now substitute into the antiderivative

[tex]f(x) = x + 2x^\frac{3}{2} + 5[/tex]

Can someone help me plss

Answers

Answer:

Given, x = 2 and z = 12

z + 5x³

12 + 5×2³

12 + 5×8

12 + 40

52

Don't forget to like and mark me

What’s the correct answer for this question?

Answers

Answer: Fourth Choice. -2

Step-by-step explanation:

Given

( -9 | 6 + ( -10 ) | ) / 2 · 3²

Expand (-10) parenthesis

= ( -9 | 6 - 10 | ) / 2 · 3²

Expand  (-9|6-10|) parenthesis

= ( -9 | -4 | ) / 2 · 3²

= ( -36 ) / 2 · 3²

Simplify the denominator and get answer

= -36 / 2 · 9

= -36 / 18

= -2

Hope this helps!! :)

Please let me know if you have any questions

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