The length of a rectangular garden is 17 feet longer than its width. If the area of the garden is 308 square feet, what are the dimensions of the garden?

A) First, write a quadratic equation in the from
aw^2+bw+c=0
you can solve to answer the question given. Let w be the width of the garden.

Use the variable w


B) Factor your equation from part [a] into the form


Answer: The factored equation is



C)Use your factored equation to find the length and width of the
feet.

Answer:

f(-9) = 86

Step-by-step explanation:

Hi there!

f(x) = x² + 5

To find f(-9), replace x with -9:

f(-9) = (-9)² + 5

f(-9) = 81 + 5

f(-9) = 86

I hope this helps!

Answer:

4 = 30

7 = 42

8 = 48

10 = 60

Step-by-step explanation:

The first thing you'll want to do is find the price for 1 foot of fencing.

18/3 = 6, which means that 1 foot of fencing costs $6. Then, either multiply or divide the number given by 6 to find the blank number. Hope this helps!

Answer:

30/18 = 1.666666667 x 3

1. 5/30

7/5 = 1.4 x 30 = 42

2. 7/42

48/42 = 1.4285714286 x 7 = 8

3. 8/48

10/8 = 1.25 x 48 = 60

4. 10/60

Step-by-step explanation:

you can use a equavilent fractions or ratios calculator to make sure this is 100% correct.

Answer:

Sophie Has 7 Dimes, And 14 Quarters

Step-by-step explanation:

Sophie Had 7 Dimes, 7 Dimes, 7 Dimes!

Sophie Had 14 Quarters, 14 Quarters, 14 Quarters!

Sophie is Bill Nye's Daughter.

Answer: 45 degrees angle

Step-by-step explanation:

??? I don't understand pls? type on English

Answer:

70.

Step-by-step explanation:

Let x be the required number.

We are asked to find the number whose 90% equals to 63.

We can represent our given information in an equation as:

Now, we need to solve for x.

Therefore, 90% of 70 is 63.

Answer:

44 Feet

Step-by-step explanation:

Trust me

Answer:

Width = 43 feet

Step-by-step explanation:

Given the 188-feet perimeter of a rectangular garden, for which its length is 8 feet longer than its width:

We can express the length of the rectangular garden as: 8 + W.

Hence, in order to solve for the length and the width of the rectangular garden, use the following formula for the perimeter of a rectangle:

Perimeter (P) = 2(L + W) or 2L + 2W = 188 feet

Length (L) = 8 + W

Width (W) = W

Substitute these values into the perimeter formula to solve for the value of the rectangular garden's dimensions:

P = 2L + 2W

188 feet = 2(8 + W) + 2W

Distribute 2 into the parenthesis, (8 + W):

188 = 16 + 2W + 2W

Combine like terms:

188 = 16 + 4W

Subtract 16 from both sides:

188 - 16 = 16 - 16 + 4W

172 = 4W

Divide both sides by 4 to solve for W:

[tex]\LARGE\mathsf{\frac{172}{4}\:=\:\frac{4W}{4}}[/tex]

W = 43

Therefore, the width of a rectangular garden is 43 feet.  

Since we determined that the length is 8 + W, then it means that the length of the rectangular garden is 51 feet.

Double-check whether we have the correct dimensions for the rectangular garden by substituting the length (L) = 51 feet, and the width (W) = 43 feet, into the perimeter formula:

P = 2L + 2W

188 feet = 2(51) + 2(43)

188 feet = 102 + 86

188 feet = 188 feet  (True statement). This means that we have the correct dimensions for the rectangular garden.

Therefore, the width of a rectangular garden is 43 feet.  

Answer:

Interest rate (r ) = 0.035 or 3.5%

Step-by-step explanation:

Given the principal amount of $1,800, and an interest payment of $378 earned in 6 years:

Use the simple interest formula and algebraically solve for variable, interest rate, r :

I  =  P × r × t

Where:

I = interest payment = $378

P = principal amount = $1,800

t = time (in years) = 6

r = interest rate

Divide both sides by P × t to isolate r :

[tex]\displaytext\sf{\frac{I}{P\:\times\:t}\:=\:\frac{P\:\times\:r\:\times\:t}{P\:\times\:t}}[/tex]

[tex]\displaytext\sf{interest\:rate\:(r)\:=\:\frac{I}{P\:\times\:t}}[/tex]

Substitute the given values into the formula for the interest rate:

[tex]\displaytext\sf{interest\:rate\:(r)\:=\:\frac{378}{1800\:\times\:6}\:=\:\frac{378}{10800}}[/tex]

Interest rate (r ) = 0.035 or 3.5%

Therefore, the interest rate is 3.5%.

Answer:

-3/1-x

Step-by-step explanation:

the answer is up look at it

Answer:

Step-by-step explanation:

Any equation, for example 2r =2/3

Answer:x = amount of hours worked after school

y = amount of hours worked on saturday

x+%2B+y+=+13 or x+=+13+-+y

and

3x+%2B+4y+=+43

plug:

3%2813+-+y%29+%2B+4y+=+43

39+-+3y+%2B+4y+=+43

y+=+4

plug:

x+=+13+-+y

x+=+13+-+4+=+9

9 hours worked after school and 4 hours worked on saturday

Step-by-step explanation:

Answer:

47 boxes

Step-by-step explanation:

Since each box has 36 cookies, we can divide the total number of cookies by 36 to find out how many boxes he could fill.

1692/36=47

Answer:

x>= 11 or x>10

Step-by-step explanation:

Absolute value can be used to represent the positive counterpart of a negative number. In this case, we are asked to find a number that is less than -10, meaning from -11 to negative infinity. Since we are asked to take absolute value, we would take |-11| which equals 11, and |-∞| = ∞.

So Amy graphed a value on the number line that is greater than or equal to 11, or any value greater than 10.

*Infinity is not a real number, it represents the largest number possible, which doesn't exist since numbers can continue on forever, so it can be disregarded.*

Answer:

the last year the eschool has 2248 books

Step-by-step explanation:

2284-36=2248

Answer:

2,248=2,284-36b

Step-by-step explanation:

since the library acquired(added) 36 books the library now has a total of 2,284 books.

To find out how many books the library had before they added 36 books you need to set up a simple equation.

2,284-36=2248

since you now know that before summer the library had 2,248 books you would write an equation and when you solve it you should get 2,248. The equation should be 2,248=2,284-36b. b representing the total number of books that were added.

Hope this helped you!

Answer: WHERE IS THE DIAGRAM

Answer:

x=33

Step-by-step explanation:

The sum of the angles of a triangle is 180

23+124+x = 180

147+x =180

x = 180-147

x =33

Answer: 33

Step-by-step explanation:

A triangle is equal to 180 degrees. So you add 124 and 23 to get 147. You would then subtract 180-147=33 and then you have your answer. Hope this helps!

Answer:

I'm not entirely sure whether is X is with 4 under the fraction or not, so I put up both graphs results.

First one: F(x) = -(3/4)X +6

Second graph: F(x) = -(3/4X) + 6

Answer:

5:30 P.M.

Step-by-step explanation:

30 (slide) minutes and 55 (swings) minutes. These numbers (time-wise) total up to an hour and 25 minutes. Adding this to 4:05 P.M. would mean that she left the playground at 5:30 P.M.

Hope this helps.

Answer:

c  = sqrt 13.4689 rounded to sqrt 13.5 = 3.5

Step-by-step explanation:

maybe A+ B totals sqrt 13 = 3.60555128  if so they have rounded down for c  to = 9  then 6 + 8 added on ay = sqrt 6+ 8 = sqrt 14 = sq rt 3.74165739 in all effect if triangular = average of a= b = 3.67^2 = 13.4689 then through Pythagoras c  = sqrt 13.4689 rounded to sqrt 13.5 = 3.5

9514 1404 393

Answer:

  0, 4, 8

Step-by-step explanation:

As you have noticed, the difference between the end values of x is 20-4 = 16, and the differences in each interval are 4.

The difference between the end values of y is 12 -(-4) = 16, so the differences in each interval will also be 4.

The missing table values are 0, 4, 8. The completed table is ...

  [tex]\begin{array}{cccccc}x&4&8&12&16&20\\y&-4&0&4&8&12\end{array}\right][/tex]

Answer:

-9y + 7 = -9y + 6

Step-by-step explanation:

-9y + 7 = -9y + 6

Has no solution

add 9y to both sides

7 = 6 which is false

therefor no y exists that can result in a solution

Answer:

The measure of ∠BAC is 30°

Step-by-step explanation:

BAC = (x + 10)°

DAE = (2x - 10)°

Here, BAC and DAE are vertical angles, So they are equal

BAC = DAE

(x + 10)° = (2x - 10)°

x + 10° = 2x - 10°

Subtract 10° and 2x from both side we get,

x + 10° - 10° - 2x = 2x - 2x - 10° - 10°

-x = -20°

x = 20°

Here, The value of x is 20°

Now, We want to find ∠BAC

So,

∠BAC = (x + 10)° = 20° + 10° = 30°

Thus, The measure of ∠BAC is 30°

-TheUnknownScientist 72

g(x) = 2x^2

for g(- 4), you just plug in - 4 for x

g(- 4) = 2(- 4)^2

g(- 4) = 2(16)

g(- 4) = 32

Answer:

g(-4) = 32

Step-by-step explanation:

Given the quadratic function, g(x) = 2x², finding the output value given g(-4) involves substituting the value of the input, x = -4, into the function.

g(x) = 2x²

g(-4) = 2(-4)² = 2(-4)(-4)

g(-4) = 2(16)  

g(-4) = 32

Therefore, g(-4) = 32.

Answer:

669.77

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

0

Hope I helped

Answer: 47600000

Step-by-step explanation:

340000000 * 0.14

= 47600000