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VikaD [51]
3 years ago
5

The length of a rectangular garden is 7 feet longer than its width. The garden's perimeter is 178 feet. Find the length of the g

arden.
Mathematics
2 answers:
BlackZzzverrR [31]3 years ago
7 0
L = 46.25
Check
2L + 2W = 178
2(46.25) + 2W = 178
92.5 + 2W = 178
-92.5. -92.5
2W = 85.5
Divide by 2 on both sides
W = 42.75

2(46.25) + 2(42.75) = 178
92.5 + 85.5 = 178
178 = 178 ✅
PolarNik [594]3 years ago
6 0

Answer: 48

Step-by-step explanation:

l = w + 7

2w + 2l = 178

2w + 2(w + 7) = 178

2w + 2w + 14 = 178

4w = 164

w = 41

l = w + 7

l = 41 + 7

l = 48

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Write 0.31 Repeating<br> as a fraction in simplest form.
KengaRu [80]

Answer:

The answer is 31/100

Step-by-step explanation:

Convert the decimal number to a fraction by placing the decimal number over a power of ten. Since there are  2  numbers to the right of the decimal point, place the decimal number over  10 2 ( 100 ) . Next, add the whole number to the left of the decimal.

8 0
3 years ago
2+2 hey guys this is just a sample question just give me an answer ASAP just for a friends.
aev [14]

Answer:

4

Step-by-step explanation:

it took a while but here's my math

2+2=4

4 0
4 years ago
What is the standard form equation of an ellipse that has vertices (18,1) and (−10,1) and co-vertices (4,14) and (4,−12)?
viktelen [127]

Answer: \frac{(x-4)^2}{196} +\frac{(y-1)^1}{169} =1

Step-by-step explanation:

You first need to determine if the ellipse is horizontal or vertical, which can be found by the length of the major axis.

The vertices are at (18,1) and (-10,1). The distance is 28 units.  (horiz)

The co-vertices are at (4,14) and (4,-12) The distance 26 units (vert)

The major axis is horizontal, so the standard form of the ellipse is

\frac{(x-h)^2}{a^2} +\frac{(y-k)^2}{b^2} =1 where (h,k) are the coordinates of the center.

To find the center, find the midpoint of the major axis (\frac{x1+x2}{2} ,\frac{y1+y2}{2} )

The center is at (4,1)

Since the major axis is 2a, a would be 28 divided by 2=14 squared : 196

The minor axis is 2b, so b would e 26/2=13 squared: 169

Inserting the center and a,b values into the standard form eq:

\frac{(x-4)^2}{196} +\frac{(y-1)^1}{169} =1

hope this helps.

6 0
2 years ago
Anita is years older than Basilio. Three times Anita's age added to six times Basilio's age is 36. 1. Define the variables 2. Cr
Scilla [17]

Answer :Anita's age = 7 years

Basilio's age = 2.5 years

Step 1. Assign variables to Anita's and Basilio's ages.

Anita's age = A

Basilio's age = B

 

Step 2. Use the information given to form two equations.

Anita is 4-1/2 years older than Basilio

A = 4.5 + B

 

Three times Anita's age added to six times Basilio's age is 36

3A + 6B = 36

 

Step 3. Substitute the value of A from first equation in to the second equation and solve for B

3(4.5 + B) + 6B = 36

13.5 + 3B + 6B = 36

13.5 + 9B = 36

9B = 36 - 13.5

9B = 22.5

B = 22.5/9 = 2.5

 

Step 4. Find the value of A

A = 4.5 + 2.5 = 7

 

Answer:

Anita's age = 7 years

Basilio's age = 2.5 years

6 0
3 years ago
How many solutions does the following equation have? − 4 ( x + 5 ) = − 4 x − 20 −4(x+5)=−4x−2
Svetach [21]

Answer:

-4x - 20= -4x - 20

Step-by-step explanation:

Multiply -4 and x and -4 and 5. It has infinite solutions

3 0
3 years ago
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