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Rashid [163]
3 years ago
7

A homeowner is making plans to landscape her yard. She plans to hire professionals to install grass sod in some parts of the yar

d and flower beds in other parts. Grass sod installation costs $2 per square foot and flower bed installation costs $12 per square foot. Her budget for the project is $3,000. Write an equation that represents the square feet of grass sod, x, and the square feet of flower beds, y, that she could afford if she used her entire budget.
Mathematics
1 answer:
kakasveta [241]3 years ago
3 0

Answer: 2x+12y<3000

Step-by-step explanation:

x intercept: (1,500,0)

y intercept: (0,250)

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2. The width of a rectangle is 5 units less than the length. If the area is 150 square units, then find the dimensions of the re
xz_007 [3.2K]

Answer:

  • The length = x = 15 units
  • The width = x-5 = 10 units

Step-by-step explanation:

Let 'x' be the length of a rectangle

As the width of a rectangle is 5 units less than the length.

so

width of rectangle will be = w = x - 5 units

Area = 150 square units

Using the formula

Area = length × width

150=\left(x\right)\left(x-5\right)

150=x^2-5x

x^2-5x=150

Subtract 50 from both sides

x^2-5x-150=150-150

x^2-5x-150=0

\left(x+10\right)\left(x-15\right)=0

if

ab=0\:\mathrm{then}\:a=0\:\mathrm{or}\:b=0\:\left(\mathrm{or\:both}\:a=0\:\mathrm{and}\:b=0\right)

x+10=0\quad \mathrm{or}\quad \:x-15=0

x=-10,\:x=15

As length can not be negative. so

x = 15 units

Hence,

The length = x = 15 units

The width = x-5 = 15-5 = 10 units

5 0
2 years ago
Evaluate the expression w² - v + 1 for w = -2 and v = -8.
kaheart [24]

Answer:

13

Step-by-step explanation:

-2(-2) - (-8) + 1

4 + 8 + 1 = 13

7 0
3 years ago
Read 2 more answers
Plz help me with this question
irga5000 [103]

Answer:

122

Step-by-step explanation:

x^6+y^2

Plug in 1 for x and 11 for y

=1^6+11^2

1 to the power of any number will always equal 1

=1+11^2\\=1+121\\=122

I hope this helps!

7 0
2 years ago
if total revenue is $3000, cost of goods is $1500, and total selling expense is $500; what is the profit for the business?
kotegsom [21]
The profit is $1000
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8 0
3 years ago
Bonnie is making a dipping sauce. She mixes 150 milliliters of soy sauce with 100 milliliters of vinegar. How much soy sauce doe
oksian1 [2.3K]

Answer:

Bonnie is mixing 1.50 milliliter of soy sauce with 1 milliliter of vinegar

Step-by-step explanation:

Given

Bonnie mixes 150 milliliters of soy sauce with 100 milliliters of vinegar

So, in order to find the amount of soy sauce mixed with one ml of vinegar, we have to divide the amount of soy sauce by vinegar.

So,

Soy\ sauce\ mixed\ with\ 1\ ml\ of\ vinegar\ =\frac{150}{100}\\ = \frac{3}{2}\\=1.50

Hence,

Bonnie is mixing 1.50 milliliter of soy sauce with 1 milliliter of vinegar

3 0
3 years ago
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