Max and Toni’s flower bed is rectangular in shape. The length of the garden is 4 feet more than its width and the area of the flower bed is 96 square feet. If x represents the width of the flower bed, find the length and width of the old flower bed. Solve the quadratic equation using the quadratic formula. (20 points)

Answers

Answer 1

Answer: Width = 8ft, Length = 12 ft

Step-by-step explanation:

irst, let'Fs express the width of the garden as w (the unknown that we are trying to solve), since the length is 4 feet longer than it's width, we can express this as 4+w. Since the flowerbed is rectangular, the formula for the area is A=lw where l is it's length and w is it's width, replacing l with 4+w, then replace A for 96 sq.ft and we can begin solving for the unknown w. Multiplying 4+w and w, using the distributive property where a(b+c)=ab+ac, we will wind up with w^2 + 4w = 96, subtracting 96 and moving it to the other side, we end up with w^2 + 4w -96 = 0, now let's use the quadratic formula for the x intercepts where [tex]x = \frac{-b +/- \sqrt{b^2-4ac}}{2a}[/tex] , remember the quadratic equation has the form [tex]ax^2+bx+c[/tex], therefore our a value is 1, our b value is 4, and our c value is -96 (remember to put that negative!), we will get 2 answers, 8 and -12, a negative width is unreasonable and so 8 is the correct width, and since the length is 4 extra feet, this makes the length 12 feet for a total area of 96 feet. hope this helps! Its helpful to draw and visualize the problem!  

Max And Tonis Flower Bed Is Rectangular In Shape. The Length Of The Garden Is 4 Feet More Than Its Width
Max And Tonis Flower Bed Is Rectangular In Shape. The Length Of The Garden Is 4 Feet More Than Its Width

Related Questions

Translate the following word phrase into an algebraic expression: Nine times a number y.

Answers

Answer:

9×y

Step-by-step explanation:

the

answer

of

the

given

is 9y

The graph below represents the function f(x) and the translated function g(x).
AVA
2x
/g(x)
a
If f(x) = x, which of the following functions could be an algebraic representation of g(x)?

Answers

Answer:

letter A.g(x)=x2+b that's the answer cause g(x) is in the positive

Which equations are true? Select all that apply.

A.
66
÷
10
1
=
6
.
6
B.
660
÷
10
0
=
66
C.
6
,
600
÷
1
,
000
=
0
.
66
D.
0
.
66
÷
10
1
=
0
.
066
E.
6
÷
100
=
0
.
06

Answers

Answer:

a b d e

Step-by-step explanation:

i just took the test and got a hundred

Equations A, B, and E are true, i.e 66: 10 = 6.6, 660: 10° = 66, 6: 100 = 0.06​.

What is the equation?

An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.

Make sure your equation is correct by comparing the values on either side of the equals sign to create a true equation. A true equation must have the same numerical values on both sides of the "=" sign. One real equation is, for instance, 9 = 9. A valid equation is 5 + 4 = 9.

As a result, the true equations are,

66: 10 = 6.6

660: 10° = 66

6: 100 = 0.06​

Thus, equations A, B, and E are true, i.e 66: 10 = 6.6, 660: 10° = 66, 6: 100 = 0.06​.

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What is the next number in the pattern

8.72, 8.52, 8.32 …

Answers

Answer:

3333

Step-by-step explanation:

3333

Answer:

8.12

Step-by-step explanation:

Because 0.20 is reduced after each number

8.72-0.20= 8.52

8.52-0.20=8.32

8.32-0.20=8.12

The water level in a lake was monitored and was noted to have changed -2 1/3 inches in one year. The next year it was noted to have changed -1 5/6 inches. What was the total change in the water level over the two years?

Answers

Answer:

The total change in water level over the past 2 years is [tex]\displaystyle -4 \frac{1}{6}[/tex].

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Fractions

Proper and Improper

Numbers

Least Common Multiple (LCM)

Step-by-step explanation:

Step 1: Define

Identify

Year 1 water change:  [tex]\displaystyle -2 \frac{1}{3}[/tex]

Year 2 water change:  [tex]\displaystyle -1 \frac{5}{6}[/tex]

Step 2: Find Total Water Change

[Set up] Add yearly water changes:                                                                [tex]\displaystyle -2 \frac{1}{3} + -1 \frac{5}{6}[/tex][Fractions] Convert to improper:                                                                     [tex]\displaystyle \frac{-7}{3} - \frac{11}{6}[/tex][Fraction] Rewrite [LCM]:                                                                                  [tex]\displaystyle \frac{-14}{6} - \frac{11}{6}[/tex][Order of Operations] Subtract:                                                                       [tex]\displaystyle \frac{-25}{6}[/tex][Fraction] Convert to proper:                                                                           [tex]\displaystyle -4 \frac{1}{6}[/tex]

find the area of the triangle. 20ft, by 21ft. by 29ft.

Answers

Answer:

a=210ft²

The area of the triangle is 210 square feet.

Step-by-step explanation:

This is a right triangle, as shown by the Pythagorean theorem:

[tex]20^{2} +21^{2} =29^{2} \\400+441=841\\841=841[/tex]

The 2 perpendicular legs of a right triangle are also the base and height of a rectangle of the same size. A right triangle is exactly half of that rectangle, and therefore the area of a right triangle is exactly half of the area of that rectangle.

The area of that rectangle is:

[tex]a=b*h\\a=20*21\\a=420[/tex]

And then the area of the triangle is:

[tex]a=\frac{420}{2}\\a=210[/tex]

Compare the expressions 7+3^2-2⋅5 and (3/4+1/8)÷1/8 using , =, or . Show your work. Answer:

Answers

[tex]A=7+3^2 -2 \cdot 5 = 7 + 9 - 10 = 9-3=6\\\\\\B = \left(\dfrac 34 + \dfrac 18\right) \div \dfrac 18 = \dfrac 78 \times 8 =7\\\\\\B>A[/tex]

The expression relation is 7+3²-2⋅5 > (3/4+1/8)÷1/8.

What is Inequality?

Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.

Given:

First, 7+3²-2⋅5

Solving the above expression

= 7 + 9 -2.5

= 16 - 2.5

= 13.5

Second,

(3/4+1/8)÷1/8

= (6/8 + 1/8) ÷ 1/8

= 7/8 ÷ 1/8

= 7/8 x 8/1

= 7

Hence, 7+3²-2⋅5 > (3/4+1/8)÷1/8.

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the length of a rectangle is 10 meters more than the width. if the perimeter is 72 meters, what are the length and width?

Answers

Check the picture below.

Step-by-step explanation:

let's say a is length, and b is width:

a = 10 + b

after this, we can write:

2(a + b) = 72

2(10 + b + b) = 72

2(10 + 2b) = 72

20 + 4b = 72

4b = 72 - 20

4b = 52

b = 52 ÷ 4

b = 13

if b = 13, then a = 10 + b = 10 + 13 = 23

so: a = 23 and b = 13

Answer fast please!!!

Answers

The correct answer is C. 58

Hope this helps!

Step-by-step explanation:

the answer is 58 this is the result I hope I've helped

Find the lines of symmetry. Select all that apply. Thank you!

Answers

Answer:

l and n

Step-by-step explanation:

Please help! How to do this? Ill give brainly

Answers

Answer:

c=60

d=45

Step-by-step explanation:

3c=180

c=60

4d=180

d=45

A waiter carried 6 baskets with 5 dinner rolls in each
basket. How many dinner rolls did he carry? Show
your work.


Answers

Answer:

30 dinner rolls

Step-by-step explanation:

There are 5 dinner rolls per basket and there are 6 baskets

So there are 6 groups of 5:

5 + 5 + 5 + 5 + 5 + 5

In other words, multiply 5 and 6

5 dinner rolls x 6 = 30 dinner rolls

5x6=30

Each basket has five rolls so you have to do 5+5+5+5+5+5 which equals 30

525, 650, 539, 643, 764, 539, 687
What is the interquartile range of these numbers

Answers

Answer:

148

Step-by-step explanation:

sorry, im not sure how to solve it, but its 148

hope this kinda helped :)

mark me brainliest :D

What is the value of w in the equation? 7w + 4 = 16 + 9 A.7 B.25 C.3 D.21

Answers

Answer: C

Step-by-step explanation:

16+9=25 so 25-4 is 21 and 7 times 3 is 21. This means that 7(3) + 4 is 25

Fill in the blank with a number to make a true statement. *
0.25 / ? = -0.25

Answers

0.25/-1=-0.25 because +/- = -

I need answers 1 through 5 please

Answers

Answer:

1) first & last option

2) x=10

3) x=15

4) acute, acute, obtuse. right

5)

Step-by-step explanation:

(8)^2+(6)^2=(x)^2

64+36=x^2

square root of 100= square root of x^2

x= 10

Which of the following describes a similarity between a solid and a gas

Answers

Answer:

they are both states of matterthey are both made up of atoms, molecules and ionsthey both have volume

6.
5. ¿Qué número tiene el mismo
valor que l centena, 7 decenas?

Answers

Answer:

7 Decenas = 70 Unidades espero que te ayude

Step-by-step explanation:

685,327 round to the nearest thousand

Answers

Answer:

685,000

Step-by-step explanation:

Answer:

685327.000

 

Step-by-step explanation:

What is 59.56 rounded to the nearest whole number?​

Answers

Answer:

60

Step-by-step explanation:

find the prime factorization of each number. 52, and 41

Answers

Step-by-step explanation:

We will first find the prime factorization of 41 and 52. After we will calculate the factors of 41 and 52 and find the biggest common factor number .

Step-1: Prime Factorization of 41

Prime factors of 41 are 41. Prime factorization of 41 in exponential form is:

41 = 411

Step-2: Prime Factorization of 52

Prime factors of 52 are 2, 13. Prime factorization of 52 in exponential form is:

52 = 22 × 131


Javad had a mix of yellow and red jellybeans as shown on the
graph. If there are 40 total jellybeans in his bag, how many
are red?

Answers

Hi there!!

The ratio of red jelly beans to yellow is 7:3.

There are 40 jelly beans.

7+3 is 10.

40/10 is 4.

7*4 is 28.

Therefore, 28 jelly beans are red.

Pls heeellllppppp me pls no links pls no fake answers and pls answer both questions

Answers

Answer:

I think it's True

Step-by-step explanation:

When you multiply a negative and positive, it equals a negative: (-)x(+)=(-)

^-2/5x > -8

Then multiply both sides of the inequality by ^-5/2 and flip the inequality sign

Which gives you:

x < 20

Answer:

Step-by-step explanation:

one would flip the sign on (-2/5)x > -8 because you would be multiplying by a negative number (- 5/2) to get positive x standing alone. It resolves to

x < 20

You would also flip the sign on

-x + ¾ < 10

-x + ¾ - ¾ < 10 - ¾

-x(-1) > 9¼(-1)   multiplying by a negative number flips the sign.

x > - 9¼

please answer it fast .......^-^......​

Answers

Answer:

990- YES, YES, NO,YES, YES, NO, YES, YES, YES

1586- YES, NO, NO, NO, NO, NO, NO, NO, NO

275- NO, NO, NO, YES, NO, NO, NO, NO, YES

6686- YES, NO, NO, NO, NO, NO, NO, NO, NO

639210- YES, YES, NO, YES, YES, NO, NO, YES,YES

429714- YES, YES, NO, NO, YES, NO, YES, NO, NO

2856- YES, YES, YES, NO, YES, YES, NO, NO, NO

3060- YES, YES, YES, YES, YES, NO, YES, YES, NO

406839- NO, YES, NO, NO, NO, NO, NO, NO, NO

Step-by-step explanation:

hope this helped<3

Use properties to evaluate 1/3 (-15 ÷ 1/2 ) 1/4?
A. - 5/2
B. 5/8
C. - 5/8
D. 5/2

Answers

A. -5/2

see the attachment for explanation

hope it helps

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

[tex]\mathbf{\dfrac{1}{3}(-15 \div \dfrac{1}{2})(\dfrac{1}{4})}\\\\\mathbf{= \dfrac{1}{3}(-15\div 0.5)(0.25)}\\\\\mathbf{= \dfrac{1}{3}(-30)(0.25)}\\\\\mathbf{= -10(0.25)}\\\\\mathbf{= \boxed{\bf -\dfrac{5}{2}}\approx -2.5}\\\\\\\\\\\\\huge\text{\bf Therefore, your answer is: \boxed{\mathsf{Option\ A. -\dfrac{5}{2}}}}\huge\checkmark[/tex]

[tex]\huge\textbf{Good luck on your assignment \& enjoy}\\\huge\textbf{your day!}[/tex]

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

I make $20 an hour but I love 30% to taxes. How much do I take home each hour after taxes?

Answers

Answer:

$14

Step-by-step explanation:

We can make an equation

30%. . . . . .X

--------- = ---------

100. . . . . . .20

Now we cross multiply

100x = 600

x = 6

Now we subtract to find how much we will take home.

20 - 6 = $14 every hour will be made

pick a number, any number.

If it's even, divides it by 2. If it's odd, multiply it by 3 and add 1. Now repeat those steps again with your new number. Eventually, if you keep going, you'll eventually end up at 1 every single time
(please help me)

Answers

Answer: 1

Step-by-step explanation:

1 x 3 + 1=4

4/2=2

2/2=1

the same thing happens again,

1 x 3 +1=4

4/2=2

2/2=1

therefore the number is 1 when I first started

Answer: If this is a True or False Question the Answer is False

Step-by-step explanation:

Why? because if you pick -1 (negative one) the answer will always be negative.

2. (a) Use a prove by contradiction to show that if a and b are nonzero integers such that a divides b and a + b is odd, then a is odd. (b) Prove that if n is a positive integer, then n² does not equal 2(mod 4).

Answers

a. Assume a is even, so a = 2k for some integer k. Now let a and b be integers such that a divides b and a + b is odd.

Since a divides b, b = an for integer n, and in turn b = 2nk, which means b is even and hence a + b is also even. But this contradicts our initial assumption, so a must be odd.

b. Let n be even, so that n = 2k for some integer k. Then

n² = (2k)² = 4k²

so that n² ≡ 0 (mod 4).

Now let n be odd, so n = 2k + 1 for integer k. Then

n² = (2k + 1)² = 4k² + 4k + 1

so that n² ≡ 1 (mod 4).

Therefore n² is never congruent to 2 (mod 4).

A banker estimated a customer's worth to be $127,000. The customer was actually worth $120,000.
Find the percent error.


A. 5.5%

B. 5.6%

C. 5.7%

D. 5.8%

Get 50 points for an answer and brainlyiest for explination

Answers

Answer:

B

Step-by-step explanation:

Help plz I don’t understand how to do this math below

Answers

for 1/3 times 2/5: to find the product, multiply the numerators and multiply the denominators. the product is 2/15. for 2/5 divided by 3/5, multiply by the reciprocal. the product is 10/30 which can be simplified to 1/3.
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