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Nutka1998 [239]
3 years ago
10

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

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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

40

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:

4

Step-by-step explanation:

Divide 60 by 15, and you get 4.

6 0
2 years ago
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