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3 years ago

The length of the garden should be 15 feet longer than its width and the area is less than 100 ft^2

Mathematics

2 answers:

Scrat [10]3 years ago

4 0

Answer:

If the perimeter is 200feet (two lengths and two widths) then one width+one length equals 100feet.

If the length is 10 feet longer than the width, then length = 55 feet, and width =45 feet

Therefore the area of the rectangle is 45x55 feet, which equals 2475 sq.ft

Step-by-step explanation:

Hi! Nice to meet you and have a great day

Sholpan [36]3 years ago

4 0

Answer:

If the perimeter is 200feet (two lengths and two widths) then one width+one length equals 100feet.

If the length is 10 feet longer than the width, then length = 55 feet, and width =45 feet

Therefore the area of the rectangle is 45x55 feet, which equals 2475 sq.ft

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Ben needs 1 3/8 feet of fabric to make one banner. How many banners can he make from 4 1/2 yards of fabric?

skelet666 [1.2K]

Answer:

x = 9.818

x≈10

The number of banners that can be made are 10

Step-by-step explanation:

We can use the knowledge of proportion to solve this.

First we need to convert yard to feet.

1 yard = 3 foot

4 1/2 yard = y

cross-multiply

y = 4 1/2 × 3

=9/2 × 3

y = $\frac{27}{2}$ feet

This implies 4 1/2 yards = $\frac{27}{2}$ feet

Let x be the numbers of banners needed to make from 4 1/2 yards of fabric.

1 3/8 feet = 1 banner

$\frac{27}{2}$ feets = x

cross multiply

1 3/8 × x = $\frac{27}{2}$

$\frac{11x}{8}$ = $\frac{27}{2}$

cross-multiply

22x = 216

Divide both-side of the equation by 22

22x/22 = 216/22

x = 9.818

x≈10

The number of banners that can be made are 10

3 0

3 years ago

What is the squad root of 81

lara [203]

Answer:

$9$

Step-by-step explanation:

<u>Step 1: Find the square root of 81</u>

<u /> $\sqrt{81}$

$\sqrt{9*9}$

$\sqrt{9^{2}}$

$9$

Answer: $9$

8 0

3 years ago

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Find the solution by elimination method. <br>Please Help.

love history [14]

Answer:

I'm newbie here

Step-by-step explanation:

Elimination Method.

4x + 6/y = 15 → step 1

6x - 8/y = 14 → step 2

so,

4x + 6/y = 15 |×6|

6x - 8/y = 14 |×4|

24x + 6/y(6) = 90

24x - 8/y(4) = 56

24x + 36/y = 90

24x - 32/y = 56

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68/y = 34

68 = 34y

34y = 68

y = 2

subsitution y = 2 to..

4x + 6/y = 15

4x + 6/2 = 15

4x + 3 = 15

4x = 12

x = 3

So, for x is 3, and for y is 2

5 0

3 years ago

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find the slope of the line containing the points (-1,6) and (3,5) put final.answer in slope-intercept form

Ugo [173]

Given the points (-1,6) and (3,5).

The formula to find the slope is

$m=\frac{y_2-y_1_{}}{x_2-x_1}$

Take

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Plug the values into the formula and find the slope.

$\begin{gathered} m=\frac{5-6}{3-(-1)} \\ =\frac{-1}{4} \end{gathered}$

The slope-intercept form is y = mx+b.

Plug the value of m.

$y=-\frac{1}{4}x+b$

ThusConsider the point (-1,6). Substitute -1 for x and for y into the equation.

$\begin{gathered} 6=-\frac{1}{4}(-1)+b \\ =\frac{1}{4}+b \\ b=6-\frac{1}{4} \\ =\frac{23}{4} \end{gathered}$

Thus, the equation of the line in slope intercept form is

$y=-\frac{1}{4}x+\frac{23}{4}$

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1 year ago

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Sladkaya [172]

Answer:

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Step-by-step explanation:

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