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MAXImum [283]
2 years ago
15

A patio has an area of 1420 square feet. If the length is 45 1/2, what is the width​

Mathematics
1 answer:
Anni [7]2 years ago
7 0

[ Answer ]

\boxed{Width \ = \ 31\frac{19}{91} \ Ft^{2}}

[ Explanation ]

Area = 1420

Width = 45\frac{1}{2}

Area For Rectangle: Length · Width

Use division to find width:

1420 ÷ 45\frac{1}{2}

Convert mixed numbers to fractions:

1420 = \frac{1420}{1}

45\frac{1}{2} = \frac{91}{2}

\frac{1420}{1} ÷ \frac{91}{2}

Use mixed multiplication:

\frac{1420*2}{1*91}

= \frac{2140}{91}

Simplify:

= 31\frac{19}{91}

\boxed{[ \ Eclipsed \ ]}

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3 years ago
Show all work to solve by factoring 3x^2 − x − 2 = 0.
shtirl [24]

Answer:

The solutions are x=1 and x=-2/3

Step-by-step explanation:

we have

3x^{2}-x-2=0

Group terms that contain the same variable, and move the constant to the opposite side of the equation

3x^{2}-x=2

Factor the leading coefficient

3(x^{2}-(1/3)x)=2

Complete the square. Remember to balance the equation by adding the same constants to each side

3(x^{2}-(1/3)x+(1/36))=2+(1/12)

3(x^{2}-(1/3)x+(1/36))=25/12

Rewrite as perfect squares

3(x-(1/6))^{2}=25/12

(x-(1/6))^{2}=25/36

square root both sides

(x-(1/6))=(+/-)(5/6)

x=(1/6)(+/-)(5/6)

x=(1/6)(+)(5/6)=1

x=(1/6)(-)(5/6)=-2/3

4 0
3 years ago
-6 (p + 8) = -35 + 7p
Novosadov [1.4K]

Answer:

p = −1

Step-by-step explanation:

1. Regroup terms.

−6 (p + 8) = 7p − 35

2. Expand.

−6p − 48 = 7p − 35

3. Add 6p to both sides.

−48 = 7p − 35 + 6p

4. Simplify 7p − 35 + 6p to 13p −35.

−48 = 13p − 35

5. Add 35 to both sides.

−48 + 35 = 13p

6. Simplify −48 + 35 to −13.

−13 = 13p

7. Divide both sides by 13.

−1 = p

8. Switch sides.

p = −1

3 0
3 years ago
Eliza is at least twice as old as her friend's younger sister, Wendy.
satela [25.4K]

Answer:

e ≥ 2w

Step-by-step explanation:

To make this easier, let us consider the case of Eliza being exactly twice as old as wendy

that would mean that twice the age of Wendy is the age of Eliza

e = 2w

but since she is AT LEAST twice as old as her, the age of eliza can be greater than twice of wendy and it might be equal to twice the age of Wendy

Hence, the symbol '=' will be replaced by '≥'

Hence, the correct relation is

e ≥ 2w

3 0
3 years ago
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