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vodka [1.7K]
3 years ago
13

The town librarian bought a combination of new-release movies on DVD for $20 and classic movies on DVD for $8. Let x represent t

he number of new releases, and let y represent the number of classics. If the librarian had a budget of $500 and wanted to purchase as many DVDs as possible, which values of x and y could represent the number of new-release and classic movies bought?
A= x = 8, y = 45
B= x = 10, y = 22
C= x = 16, y = 22
D= x = 18, y = 18
Mathematics
1 answer:
IRISSAK [1]3 years ago
4 0

answer: could be both (B)and(C)

Step-by-step explanation:

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Jack and Julio each improved their yards by planting daylilies and geraniums. They bought their supplies from the same store.
o-na [289]

Cost of one daylily is $2 and cost of one geranium is $4.

Step-by-step explanation:

Let,

Cost of one daylily = x

Cost of one geranium = y

According to given statement;

x+5y=22    Eqn 1

13x+y=30    Eqn 2

From Eqn 1;

x=22 - 5y

Putting this value of x in Eqn 2;

13(22-5y)+y=30\\286-65y+y=30\\-64y=30-286\\-64y=-256

Dividing both sides by -64

\frac{-64y}{-64}=\frac{-256}{-64}\\y=4

Putting y=4 in Eqn 1

x+5(4)=22\\x+20=22\\x=22-20\\x=2

Cost of one daylily is $2 and cost of one geranium is $4.

Keywords: linear equation, substitution method

Learn more about substitution method at:

  • brainly.com/question/605571
  • brainly.com/question/5873564

#LearnwithBrainly

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3 years ago
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Mama L [17]
So she had one Board and she cut it in two parts. I part is 1 7/8 feet long and the other part is 3 1/2 feet long
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Karl bought ​ 3 1/2 ​ gallons of milk that cost $2.70 per gallon.
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The total cost would be $9.45
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Use the quadratic formula to solve for the roots in the following equation. 4x 2 + 5x + 2 = 2x 2 + 7x – 1
Natali5045456 [20]

Answer:

So, The roots are x= \frac{1+\sqrt{5}i}{2} \,\, and \,\,x= \frac{1-\sqrt{5}i}{2}

Step-by-step explanation:

4x^2 + 5x + 2 = 2x^2 + 7x - 1

We need to solve the equation to find the roots using quadratic formula.

The quadratic formula is:

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

Rearranging the above equation:

4x^2 -2x^2+ 5x-7x + 2+1 =0

2x^2 -2x + 3 =0

Where a =2 , b=-2 and c =3 Putting values in quadratic equation and solving:

x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\x=\frac{-(-2)\pm\sqrt{(-2)^2-4(2)(3)}}{2(2)}\\x=\frac{2\pm\sqrt{4-24}}{4}\\x=\frac{2\pm\sqrt{-20}}{4}\\\sqrt{-20} \,\,can\,\,be\,\, written\,\, as\,\, 2\sqrt{-5}\\ x=\frac{2\pm2\sqrt{-5}}{4}\\x=\frac{2+2\sqrt{-5}}{4} \,\, and \,\, x=\frac{2-2\sqrt{-5}}{4}\\x=\frac{2(1+\sqrt{-5})}{4} \,\, and \,\, x=\frac{2(1-\sqrt{-5})}{4}\\ x=\frac{1+\sqrt{-5}}{2} \,\, and \,\, x=\frac{1-\sqrt{-5}}{2}\\As \,\,we\,\, know\,\, \sqrt{-1} = i \\

x= \frac{1+\sqrt{5}i}{2} \,\, and \,\,x= \frac{1-\sqrt{5}i}{2}

So, The roots are x= \frac{1+\sqrt{5}i}{2} \,\, and \,\,x= \frac{1-\sqrt{5}i}{2}

6 0
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Paul wants to buy a refrigerator for $750. The store requires a 10% down payment. After he makes the down payment, how much will
Maurinko [17]

Answer:

$750×10%= $75

$750-$75= $675.00.

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2 years ago
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