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IceJOKER [234]
2 years ago
11

The area of a rectangle is 3/8 in and the length is 5/8 What is the width?

Mathematics
1 answer:
liberstina [14]2 years ago
6 0

Answer:

The width W is :

W=\frac{3}{5}

Step-by-step explanation:

<em>Let A be the area of the rectangle </em>

<em>Let L be the length of the rectangle</em>

<em>Let W be the width of the rectangle </em>

______

Formula:

A = L × W

__________

\begin{aligned}A &=L \times W \\\Rightarrow W &=\frac{A}{L} \\\Rightarrow W &=\frac{\frac{3}{8}}{\frac{5}{8}} \\&=\frac{3}{8} \times \frac{8}{5} \\&=\frac{3 \times 8}{8 \times 5} \\&=\frac{3}{5}\end{aligned}

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Answer:

I think I answer is 21730 I'm not sure tho

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What is the volume of the figure?<br> 11m 7m and. 4m
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308?

Step-by-step explanation:

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2 years ago
1.) You are one of five people who have been hired to mow the lawn at the local college. Each week, the dimensions of the plot y
iren [92.7K]

Answer:

1a)  Length = 7x + 3  & Width = 4x - 2

1b)  Area = 28x^2 -2x -6

1c)  Area = 2774 sq. m

2.  (x-4)(y+7)

Step-by-step explanation:

1a)

The length given as words is "3 more than 7 times x"

The width given as words is "4 times x minus 2"

The expression for length would be  7x + 3

The expression for width would be 4x - 2

1b)

The area is length * width

Since we already know the algebraic expressions for length and width from part (a) above, we use the formula:

Area = (7x+3)(4x-2) = 28x^2 -14x + 12x - 6 = 28x^2 -2x -6

Area = 28x^2 -2x -6

1c)

Given x = 10, we put this into the area expression we found in (b) above.Let's see:

28x^2 -2x -6\\=28(10)^2 -2(10) -6\\=2774

Area = 2774 sq. m

2.

We can group the first two terms and next two terms and write up:

xy-4y+7x-28\\(xy-4y)+(7x-28)\\y(x-4)+7(x-4)\\(x-4)(y+7)

That's the factored form.

8 0
3 years ago
Read 2 more answers
The recycling and reuse industry employs approximately 1,025,000 more workers than the waste management industry. Together they
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Answer:

Step-by-step explanation:

The recycling and reuse industry employs approximately 1,025,000 more workers than the waste management industry. This means that

Number of workers employed by The recycling and reuse industry = the number of workers employed by the waste management industry + 1,025,000

Let y = the number of workers employed by the waste management industry. Therefore

x = y + 1,025,000 - - - - - - 1

Since total = 1,275,000

x + y = 1,275,000 - - - - - - -2

Substituting equation 1 into equation 2, it becomes

y + 1,025,000 + y = 1,275,000

2y = 1,275,000 - 1,025,000

y = 250000/2 = 125000

x = y + 1,025,000 = 125000 + 1,025,000 = 1150000

The recycling and reuse industry employs 1150000 workers

The waste management industry employs 125000 workers

7 0
3 years ago
What is the equation of the quadratic graph with a focus of (1, 1) and a directrix of y = −1? PLs HELP!!
Delicious77 [7]
ANSWER
f(x)= \frac{1}{4} {(x - 1)}^{2}

EXPLANATION

Since the directrix is
y = - 1

the axis of symmetry of the parabola is parallel to the y-axis.

Again, the focus being,

(1,1)

also means that the parabola will open upwards.

The equation of parabola with such properties is given by,

{(x - h)}^{2} = 4p(y - k)
where
(h,k)

is the vertex of the parabola.

The directrix and the axis of symmetry of the parabola will intersect at
(1, - 1)

The vertex is the midpoint of the focus and the point of intersection of the axis of the parabola and the directrix.

This implies that,
h = \frac{1 + 1}{2} = 1

and
k = \frac{ - 1 + 1}{2} = 0

The equation of the parabola now becomes,

(x - 1) ^{2} = 4p(y - 0)

|p| = 1

Thus, the distance between the vertex and the directrix.

This means that,

p = - 1 \: or \: 1

Since the parabola opens up, we choose
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Our equation now becomes,

{(x - 1)}^{2} = 4(1)(y - 0)

This simplifies to
{(x - 1)}^{2} = 4y

or

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

This is the same as,

f(x)= \frac{1}{4} {(x - 1)}^{2}

The correct answer is D .
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