The length of a rectangular garden is 22 feet longer than its width. If the area of the garden is 408 square feet, what are the dimensions of the garden?
Length=
Width=

Answers

Answer 1

Answer:

Length = 34 ft

Width = 22 ft

I know for SURE!

Pls mar branliest!!

Answer 2

Answer:

Length = 34

Width = 12

Step-by-step explanation:

Let the lenght of the garden be denoted by L, and let the width of the gardne be denoted by W.

The length of a rectangular garden is 22 feet longer than its width:  L=W+22

The area of the garden is 408 square feet: A=LW=408

SubW+22 in for L in the equation LW=408 :

LW=408

(W+22)W=408

[tex]W^{2}[/tex]+22W-408=0

(W-12)(W+34)=0

So we have W=12 and W=-34. However, W can't be equal to -34 as width can't be negative. Therefore, the width of the garden is 12feet.

L=W+22=12+22=34. The length of the garden is 34feet.


Related Questions

In a group of 97 students, the number of students taking programming is twice the number of students taking math. There are 53 students taking exactly one of these subjects, and 15 are taking neither of these subjects. How many students are taking math? How many students are taking programming? In a group of 97 students, the number of students taking programming is twice the number of students taking math. There are 53 students taking exactly one of these subjects, and 15 are taking neither of these subjects. How many students are taking math? How many students are taking programming?

Answers

The number of student taking math is 37 while the number of students taking programming is 74

Universal set = 97

let

The number taking math = x

The number taking programming = 2x

The number of students that take exactly one subject = 53

The student taking neither of the subject = 15

The number of students taking only maths will be

x - n(m ∩ p)

The number of students taking only programming will be

2x - n(m ∩ p)

let

n(m ∩ p) = y

Therefore,

x - y + 2x - y = 53

3x - 2y = 53

Also,

97 = x + 2x - y + 15

3x - y = 82

Therefore,

3x - 2y = 53

3x - y = 82

-y -(-2y) = 82 - 53

y = 29

3x - 29 = 82

3x = 82 + 29

3x = 111

x = 111/3

x = 37

Finally,

number of students taking maths = 37

number of student taking programming = 37×2 = 74

Check similar problem on sets: https://brainly.com/question/16132324?referrer=searchResults

758 rounded of to the nearest hundred

Answers

Answer:

800

Step-by-step explanation:

Hope this helps

Answer:

800, if it's higher than 50 you can round it to the next hundred

Identify the angles that each have a measure of 60\degree

Answers

Answer:

parrelel

Step-by-step explanation:

4. Which values are solutions of
2x – 1= 7? Select all that apply.
A) X=-4
(B) x = -3
C=3
D= 4

Answers

Answer:

D. x = 4

Step-by-step explanation:

2x – 1= 7

add 1 to both sides:

2x=8

divide both sides by 2:

x=4

One solution.

the ratio 4:2 is equivalent to 2

Answers

To make pastry for an apple pie, you need 4 oz flour and 2 oz fat. The ratio of flour to fat is

4 : 2 .

But this ratio can be simplified in the same way that two fractions can be simplified. We just

cancel by a common factor. So

4 : 2 = 2 : 1 .

Homework help!!!!!!!

Answers

Answer:

r = -9

Step-by-step explanation:

the less the negative number is the more it is .

HELP!
A group of activists wants to raise money for a good cause, so they decide to sponsor a bicycle race. It receives $60 per cyclist entry and $15,000 in donations, but it must spend $18 per entry to cover the cost of the race.
Write and solve an inequality to determine the number of cyclists the group needs to raise at least $57,000.

Answers

9514 1404 393

Answer:

60x +15000 ≥ 18x + 57000≥ 1000 cyclists

Step-by-step explanation:

We want ...

  revenue ≥ cost + desired profit

  60x +15000 ≥ 18x + 57000 . . . . . . an inequalty

  42x ≥ 42000 . . . . . . . . . . . . . . . . subtract 18x+15000

  x ≥ 1000 . . . . . . . . . . . . . . . . . . divide by 42

The group needs at least 1000 cyclists to raise at least $57,000.

PLS HURRY WILL GIVE BRAINLIEST & 20 PTSS!!!!

Answers

Answer:

(0,2) x (3,-2)

Step-by-step explanation:

how do I determine what a function is for a line graph

Answers

Answer: Use the vertical line test to determine whether or not a graph represents a function. If a vertical line is moved across the graph and, at any time, touches the graph at only one point, then the graph is a function. If the vertical line touches the graph at more than one point, then the graph is not a function.

Step-by-step explanation:

Find the x-intercept and y-intercept of the line and then graph the equation
-4x+2y=-4

Answers

Answer:

x-intercept is 1  and y-intersect is -2

Step-by-step explanation:

To find the x-intercept let y = 0 and to find the y-intercept let x = 0 and solve each equation.

-4x + 2y = -4         Let x = 0  and solve for y

-4(0) +2y = -4

0 + 2y = -4

 2y = -4

    y = -4/2 ; y = -2       y- intercept is -2

                         

                              Let  y = o and solve

     -4x + 2y = -4

      -4x + 2(0) = -4

     -4x + 0 = -4

      -4x = -4

         x = -4/-4 ;  x = 1           x-intercept is 1

How many combinations are possible? Assume the items are distinct.
10 items chosen 10 at a time

Answers

About 100 combinations are possible because u have to do 10x10

Hey can someone help please hurry it’s important

Answers

149 is quotient
The remainder is 31

[tex]\large\underline{\sf{Solution-}}[/tex]

Given info:

6885 ÷ 46

Here, we have given divisor (43) & dividend (6885). And in problem they asked to find quotient & remainder.

Let's solve!!

[tex] \sf{46 \overline{\bigg)68885 \bigg(}149← \red{Quotient}} \\ \sf \underline{ 46 \: \: \: \: \: \: \: \: \: \: \: \ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: } \\ \sf{228 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: } \\ \sf{ \underline{ - 184 \: \: \: \: \ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }} \\ \sf0445 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \underline{ \sf - 414 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: } \\ \sf{031 \red{←Remainder}} \\ [/tex]

[tex] \therefore \: \sf{Quotient = 149 \: and \: Remainder \: = 31} \\ [/tex]

[tex] \sf{Now,} \\ [/tex]

[tex] \sf{Divisor \times Quotient + Remainder } \\ [/tex]

[tex] \sf = 46 \times 149 + 31 \\ [/tex]

[tex] \sf = 6854 + 31 \\ [/tex]

[tex] \sf{ = 6885} \\ [/tex]

[tex] \sf = \red{ Dividend}. \\ [/tex]

What percent of the hours were billed by Jon, Roy, or Dean?
Write your answer using a percent
sign (%).

Answers

Answer:

10%

Step-by-step explanation:

please tell me if im right or wrong

Dùng kí hiệu toán học để viết mệnh đề sau:
Định nghĩa : tam giác ABC gọi là tam giác cân nếu có hai góc bằng nhau

Answers

Answer:

g vs lhnkdeugyvsvjxbd shall

is -5.25 greater than -3

Answers

Answer:

False    -5.25 is < (less than) -3

Step-by-step explanation:

Complete the following.Write the answers in your journal

I learned filtering of solid and liquid mixtures can be saperated with the use of____ or____ as a medium in which_______material in the medium

Sieving is a method in which ________of ________sizes are separated from a mixture on the basis of the _____​

Answers

Answer:

1.FILTER WATER 2.FILTER CLOTH

3.LIQUIDS

4.INSOLUBLE

5.DIFFERENCE

Choose the pythagorian triplet with the smallest number as 10.

a) 24, 26, 10
b) 10, 6, 8
c) 10, 16, 18
d) 10, 18, 20​

Answers

Answer:

b

Step-by-step explanation:

pls give brainliest hope helpful

what is the length of segment XZ?
192
12
8
144

Answers

Answer:

12 is the length of XZ

Step-by-step explanation:

Pythagorean Theorem Formula: a² + b² = hypotenuse²

x² + 5² = 13²

x² + 25 = 169

x² + 25 - 25 = 169 - 25 (subtract 25 in both sides)

x² = 169 - 25

√x² = √144

x = 12

A number that has more than two factors is a

Answers

Composite number? I’m not sure if that’s what you’re working on but it’s a true statement.

Explain why there is not enough information to state that CP is the perpendicular bisector of AB.

Answers

Answer:

First, we need to know if AP is equal to PB. We don't really know that CP passed through the midpoint of AB. We also don't know if CPA is equal to CPB. This is why there is not enough information to state that CP is the perpendicular bisector of AB.

Step-by-step explanation:

A perpendicular bisector is a segment that passes through a midpoint of a segment and is perpendicular to it.

-kiniwih426

3 to the power of 1/7

Answers

Answer: 0.42857142857

Step-by-step explanation:

needing help with fraction problem

4/11 - 10/8 equals?

having trouble breaking it down to get the answer

Answers

Answer:

71/44

Step-by-step explanation:

Here the LCD is the product of the two denominators given:  11*8 = 88.

We rewrite 4/11 as 32/88 and 10/8 as 110/88.  Now the denominators are the same.

Combine  32/88 and 110/88.  We get the sum  142/88, which reduces to 71/44.

Answer:

-39/44.

Step-by-step explanation:

We need to find the lowest common multiple of 11 and 8.

This is 88.

Now to convert the 2 fractions to denominator 88 we multiply first by

8/8 and the second by 11/11:

4/11 - 10/8

= 32/88 - 110/88

= -78/88

= -39/44

Hello, please be honest, is this correct?

Answers

yup your right ( i’m just writing here so it lets me send it)

Answer:

Yes that is correct you got keep up good work

Use the graph below to find the indicated expression: f(3)-f(-3)

Answers

Answer:

f×3-f×(-3)

3f+3f

solution:

6f

Step-by-step explanation:

hope it's can help

A truck can be rented from Company A for ​$80 a day plus ​$0.40 per mile. Company B charges ​$40 a day plus ​$0.50 per mile to rent the same truck. Find the number of miles in a day at which the rental costs for Company A and Company B are the same. At nothing ​miles, the rental costs are the same from either company

Answers

Answer: 400 miles

Solving Steps:
0.4x + 80 = 0.5x + 40
-0.1x + 80 = 40
-0.1x = -40
x = 400 miles

Helpppppppp meeeeeeee

Answers

Answer:

Step-by-step explanation:

solution 1:

570 not man = 15% (cause 100% - 85%)

15% = 570

100% = w (for "whole package")

15w = 100 * 570

15w = 57000

w = 57000 / 15

w = 3800

solution 2:

15% = 570

85 = m (for "men)

15m = 570 * 85

15m = 48450

m = 48450 / 15

m = 3230

100% = 85% + 15%

100% = b (for "buch of people")

b = 3230 + 570

b = 3800

what is the total surface area of the prism in square inches

Answers

Answer:

Surface area of a square prism = 4 × (s × h) = 4sh, where, s is the length of the side of the square and h is the height of the square prism.

A baker packed 24 cupcakes into each box. After he had packed 37 boxes of cupcakes, there were 248 cupcakes left. How many cupcakes were there altogether?

Answers

Hope this helps have a great day!!!!!

Estimate and then solve 6,699 ÷ 72 = ___.

92 r 4
93 r 3
93 r 4
94 r 3

Answers

Answer:

It would be 93 remainder 3/the second one.

7. The ratio of the base to height of a triangle is 3:5. If the area of this triangle is 30, find the lengths of the base and height.​

Answers

Answer:

Base= 6

Height= 10

Step-by-step explanation:

Area of triangle= ½ ×base ×height

Let the base be 3x and the height be 5x.

Given that the area is 30,

½ ×base ×height= 30

½(3x)(5x)= 30

Multiply both sides by 2:

3x(5x)= 60

15x²= 60

x²= 60 ÷15

x²= 4

Square root both sides:

[tex]x = \sqrt{4} [/tex]

x= 2

(reject x= -2 since length has a positive value)

Length of base

= 3x

= 3(2)

= 6

Length of height

= 5x

= 5(2)

= 10

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