All categories

3 years ago

Derek is going to lay grass in a rectangular space that measures 85 by 32 feet.

Mathematics

1 answer:

adoni [48]3 years ago

3 0

Answer:

2720 feet squared

Step-by-step explanation:

85 * 32 = 2720

You might be interested in

On Naomi's cell phone plan, the amount she pays each month for international text messages is proportional to the number of inte

Lostsunrise [7]

A) The constant of proportionality in this proportional relationship is $k = \frac{y}{x}$

B) The equation to represent this proportional relationship is y = 0.2x

<h3><u>Solution:</u></h3>

Given that,

The amount Naomi pays each month for international text messages is proportional to the number of international texts she sends that month

Therefore,

This is a direct variation proportion

$\text{ amount Naomi pays each month } \propto \text{ number of international texts she sends that month}$

Let "y" be the amount that Naomi pays each month

Let "x" be the number of international texts she sends that month

Therefore,

$y \propto x$

y = kx -------- eqn 1

Where, "k" is the constant of proportionality

Thus the constant of proportionality in this proportional relationship is:

$k = \frac{y}{x}$

<em><u>Last month, she paid $3.20 for 16 international texts</u></em>

Therefore,

y = 3.20

x = 16

Thus from eqn 1,

$3.20 = k \times 16\\\\k = \frac{3.20}{16}\\\\k = 0.2$

Substitute k = 0.2 in eqn 1

y = 0.2x

The equation would then be y = 0.2x

8 0

3 years ago

Given (x – 7)2 = 36, select the values of x.

aksik [14]

Answer:

x=1,13

Step-by-step explanation:

(x – 7)^2 = 36

Take the square root of each side

sqrt((x – 7)^2) = sqrt(36)

x-7 = ±6

x-7 = 6 x-7 =-6

Add 7 to all sides

x-7+7 = 6+7 x-7+7 = -6+7

x = 13 x=1

4 0

2 years ago

Read 2 more answers

You work for a company that produces custom picture frames. A new customer needs to frame a piece of rectangular artwork with di

miskamm [114]

Answer:

None of the choices are correct.

Step-by-step explanation:

Let x be the width of the frame,

The framed art cannot me more than 320 square inches

$(11 + 2x) \times (15+2x) \leq 320$

$(165 +30x +22x +4x^2 ) \leq 320$

$4x^2+52x + 165 \leq 320$

$4x^2 +52x + 165-320 \leq 0$

$4x^2 +52x - 155\leq 0$

By using the quadratic formula

$x = \frac{-b\pm \sqrt{(b^2-4ac)}}{2a}$

$x = \frac{-52\pm \sqrt{(52^2-4(4)(-155))}}{2(4)}$

$x = \frac{-52\pm \sqrt{(2704+2480)}}{2(4)}$

$x = \frac{-52\pm \sqrt{(5184)}}{2(4)}$

$x = \frac{-52\pm 72}{2(4)}$

$x = \frac{20}{8}$

$x= \frac{5}{2}$

$x = 2.5$

Frame must not be more than 2.5 inches wide.

4 0

3 years ago

Name the values Of the 4s in the number 400,440

gavmur [86]

The first value of 4 is in the tens place.

The second value of 4 is in the hundreds place.

The third value of 4 is in the hundred thousands place

400

400,000

6 0

2 years ago

Over the next 15 months you have to read more than 60 books. You have to read x books per

vovangra [49]

Answer:

Step-by-step explanation:

Divide 60 by 15, and you get 4.

6 0

2 years ago