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scoundrel [369]
3 years ago
5

What product estimates 1,600

Mathematics
1 answer:
4vir4ik [10]3 years ago
3 0
10 cubed times 300 equals 1,600
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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
Galina-37 [17]

Answer:

x = 1, y = 60

Step-by-step explanation:

Value of new-releases (x) = $20 each

Value of classic (y) = $8 each

Total budget = $500

Equation : 20x + 8y = 500

The librarian wants to purchase maximum DVDs. She can get more DVDs of classic movies for $8 as they are less costly.

Lets assume the librarian buys at least one new-release DVD.

x=1

20x + 8y = 500

8y + 20(1) = 500

y = 60

<em>Therefore, in a budget of $500, the librarian can purchase 60 classic movies and 1 new-release.</em>

!!

8 0
3 years ago
The present age of the father is twice the age of his daughter. Ten years ago, the
Elenna [48]

Answer:

<h3>           The father is 40 and the daughter is 20.</h3>

Step-by-step explanation:

x           -  the present age of the daughter

2x         -  the present age of the fathter  

x - 10          -  the age of the daughter ten year ago

2x - 10        -  the age of the fathter ten year ago

Father is older than his dauther, so:

2x - 10 = (x - 10) + 20  

2x - 10 = x - 10 + 20  

2x - 10 = x + 10              {subtract x from both sides}

x - 10 = 10                      {add 10 to both sides}

x = 20

2x = 2·20 = 40

6 0
3 years ago
Solve the equations if possible <br><br> * -5×=×+6(1-×)<br><br> *(2×-5)²=(2×-1)(2×+1)-10(2×-1)
Allushta [10]
-5x = x + 6(1-x)

-5x = x + 6(1) + 6(-x)
-5x = x + 6 -6x
-5x = x - 6x + 6
-5x = -5x + 6
-5x + 5x = 6
0 = 6  Not equal. No solution.

(2x-5)² = (2x-1)(2x+1) -10(2x-1)
(2x-5)(2x-5) = (2x-1)(2x+1) - 20x + 10
2x(2x-5)-5(2x-5) = 2x(2x+1)-1(2x+1) - 20x + 10
4x² - 10x -10x + 25 = 4x² + 2x - 2x -1 - 20x + 10
4x² - 20x + 25 = 4x² - 20x - 1 + 10
4x² - 20x + 25 = 4x² - 20x - 9

Not equal. No solution.

8 0
3 years ago
Write an algebraic expression for the word expression: <br> 15 divided by the sum of "d" and 3
Yuki888 [10]

the answer is

15/(3+d)

8 0
3 years ago
What is the slope of the line shown below?<br><br> (4,8)<br> (2, 4)
OLEGan [10]

Answer: The slope of the line is 2.

Step-by-step explanation:

Slope = change in y/change in x

Slope = (8-4)/(4-2)

Slope = (4)/(2)

Slope = 2

4 0
3 years ago
Read 2 more answers
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