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LenKa [72]
3 years ago
12

At a large nursery, a border for a rectangular garden is being built. Designers want the border’s length to be twice as long as

its width. A maximum of 150 ft of fencing is available for the border. Write and solve an inequality that describes possible widths of the garden.
Mathematics
1 answer:
sasho [114]3 years ago
7 0

Let

x--------> the border’s length

y--------> the border’s width

P--------> perimeter of the border

we know that

x=5+y------> equation 1

P=2*[x+y]-----> P=2x+2y

P <=180 ft

(2x+2y) <= 180-------> equation 2

substitute the equation 1 in equation 2

2*[5+y]+2y <= 180

10+2y+2y <= 180

4y <= 180-10

4y <=170

y <=42.5 ft

so

the maximum value of the width is 42.5 ft

for y=42.5 ft

x=42.5+5------> x=47.5 ft

the answer is

the width of the border is less than or equal to 42.5 ft

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Arnie decides to make 3 cups of dark orange paint and 3 cups of light orange paint.
dimulka [17.4K]

The question is an illustration of equivalent ratios.

  • 3 cups of dark orange require 3 ounces of yellow  paint
  • 3 cups of light orange require 19.5 ounces of yellow paint

1 cup of dark orange requires

Red = 7oz

Yellow =1oz

To make 3 cups, we simply multiply by 3, because 3 \times 1 = 3

So, we have:

Red = 7oz \times 3 = 21oz

Yellow =1oz \times 3 = 3oz

2 cups of light orange require

Red =3oz

Yellow =13

To make 3 cups, we simply multiply by 1.5, because 2 \times 1.5 = 3

So, we have:

Red = 3oz \times 1.5 = 4.5oz

Yellow = 13oz \times 1.5 = 19.5oz

Hence:

  • 3 cups of dark orange require 3 ounces of yellow  paint
  • 3 cups of light orange require 19.5 ounces of yellow paint

Read more about equivalent ratios at:

brainly.com/question/18441891

5 0
2 years ago
8. Solve for x. Round your answer to the nearest tenth.<br> 8.6<br> 4<br> x<br> 0176
earnstyle [38]

Answer:

C. 9.5

Step-by-step explanation:

The Pythagorean Theorem: a^2 + b^2 = c^2.

4^2 + 8.6^2 = c^2

16 + 73.96 = c^2

c^2 = 89.96

c = 9.4847....

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2 years ago
What is 1x+3y=18 in slope intercept form
photoshop1234 [79]

Answer:

y = -x/3 + 6

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Equality Properties

<u>Algebra I</u>

Standard Form: Ax + By = C

Slope-Intercept Form: y = mx + b

  • m - slope
  • b - y-intercept

Step-by-step explanation:

<u>Step 1: Define</u>

Standard Form:   x + 3y = 18

<u>Step 2: Rewrite</u>

<em>Find slope-intercept form</em>

  1. Subtract <em>x</em> on both sides:                    3y = -x + 18
  2. Divide 3 on both sides:                       y = -x/3 + 6
3 0
2 years ago
Read 2 more answers
A rectangle has an area of 36 inches squared. Write an equation to show how the length (l) varies inversely the width (w).
Anastaziya [24]
Start with the first sentence, and the definition of the area of a rectangle:
l * w = 36

Rewrite the equation to get
l = 36 / w
or
w = 36 / l
Either one shows the inverse relationship between w and l.

Assuming the last part wants you to write an equation for an x-y graph, the equation would be
y = 36 / x
8 0
3 years ago
How expensive is Maui? A newspaper gave the following costs in dollars per day for a random sample of condominiums located throu
Leviafan [203]

Answer:

mean=134.3

median=65.5

mode=60

Step-by-step explanation:

Mean is computing by adding the all data values and then divided by number of values

mean=sum of all values/number of values

There are 20 data values.

mean=(88+50+66+60+360+55+500+71+41+350+60+50+250+45+45+125+235+65+60+110)/20

mean=2686/20

mean=134.3

For calculating median we arrange the data in ascending order

41  45  45  50  50  55  60  60  60  65  66  71  88  110  125  235  250  350  360  500

n/2=20/2=10 is an integer

So, the median is the average of n/2 and (n/2)+1 value

The median is average of 10th and 11th value

median=(65+66)/2

median=65.5

Mode is the most repeated value and we see that number of times the values are repeated are

45= 2 times

50= 2 times

60= 3 times

Thus, the most repeated value is 60 and it is the mode of data.

Mode=60

4 0
3 years ago
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