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Mixture_Word_Problems/133858: Want to make 30 bounds of a bird seed that costs $3 per pound. They are using thistle seed for $2 per pound and sunflower seeds for $3.50 per pound. How many pounds of sunflower seeds should be used in this mixture?
algebra 1 1 solutions
Answer 97899 by checkley71(8403) on 2008-03-26 20:41:36 (Show Source):
You can put this solution on YOUR website!2X+3.5(30-X)=3*30
2X+105-3.5X=90
-1.5X=90-105
-1.5X=-15
X=-15/-1.5
X=10 POUNDS OF $2 SEEDS.
30-10=20 POUNDS OF $3.50 SEEDS.
PROOF
2*10+3.5*20=90
20+70=90
90=90
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Systems-of-equations/133859: This question is from textbook algebra 1
4 oranges and 5 apples cost 3.56 three oranges and 4 apples cost 2.76 find the cost of a oranges and the cost of a apple 1 solutions
Answer 97898 by checkley71(8403) on 2008-03-26 20:36:56 (Show Source):
You can put this solution on YOUR website!4O+5A=3.56 MULTIPLY THIS EQUATION BY 3.
3O+4A=2.76 MULTIPLY THIS EQUATION BY -4 & THEN ADD THEM.
12O+15A=10.68
-12O-16A=-11.04
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-A=-.36
A=.36 COST OF 1 APPLE.
4O+5*.36=3.56
4O+1.80=3.56
4O=3.56-1.80
4O=1.76
O=1.76/4
O=.44 COST OF 1 ORANGE.
PROOF
3*.44+4*.36=2.76
1.32+1.44=2.76
2.76=2.76
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Linear_Equations_And_Systems_Word_Problems/133769: A high school class wants to raise money by recycling newspapers. The class decided to rent a truck at a cost of $150 for the week. The market price for recycled newspapers is $15 per ton. Write an equation representing the amount of money the class will make based on the number of tons of newspapers collected. Explain what you did to get your answer. 1 solutions
Answer 97873 by checkley71(8403) on 2008-03-26 13:26:55 (Show Source):
You can put this solution on YOUR website!$=(15X)-150
WHERE $ IS THE PROFIT & X IS THE NUMBER OF TONS COLLECTED. (IF THE ANSWER IS A PLUS(+) OR LOSS IF IT IS A MINUS(-).
EXAMPLE:THEY COLLECT 13 TONS OF NEWSPAPER
$=15*13-150
S=195-150
$=45 IS THE AMOUNT RAISED AFTER PAYING FOR THE TRUCK RENTAL.
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Linear_Equations_And_Systems_Word_Problems/133673: Wild and Crazy Productions wants to purchase a new CD producing machine. Its cost is $5000.00. If their labor and other unit costs are $5.00 per CD and they can sell the CD for $10.00 each, how many must they manufacture before they pay for their new machine? 1 solutions
Answer 97851 by checkley71(8403) on 2008-03-26 08:41:17 (Show Source):
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Equations/133590:
Refrigerator A costs $600 and costs $35 a year to operate.
Refrigerator B costs $800 and costs $40 a year to operate.
how many years are the total costs of the 2 regrigerators the same?
1 solutions
Answer 97794 by checkley71(8403) on 2008-03-25 17:57:16 (Show Source):
You can put this solution on YOUR website!They will never be the same. As the original cost of the most expensive model is greater than the cheaper model & the operating cost of the most expensive model is also greater.
600+35x=800+40x
35x-40x=800-600
-5x=200
x=200/-5
x=-40 non answer.
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Quadratic_Equations/133637:
I am thinking of 3 consecutive positive numbers. If I multiply the first with the third and then add the second, the result is 41. What are the numbers? 1 solutions
Answer 97788 by checkley71(8403) on 2008-03-25 17:28:17 (Show Source):
You can put this solution on YOUR website!let x, x+1 & x+2 be the 3 consecutive numbers.
x(x+2)+(x+1)=41
x^2+2x+x+1=41
x^2+3x+1-41=0
x^2+3x-40=0
(x+8)(x-5)=0
x-5=0
x=5 answer for the smaller number
5+1=6 for the next number
5+2=7for the largest number
proof
5*7+6=41
35+6=41
41=41
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Equations/133594: 1. I think of two consecutive odd numbers. 5 times the smaller plus 3 timesthe larger is 62. find the two numbers.
2. Two numbers differ by 5. Seven times the smaller plus 4 times the larger is 108. find the numbers.
3. Find three consecutive odd numbers that have a sum of 57.
4. I write down 3 consecutive even numbers. 6 times the smallest plus 2 times the largest equals seven times the middle number. Find the three numbers.
5. When soe cards are dealt to six people, each receives three more than when the same cards are dealt to eight people. how many cards are there?
6. John is 'x' years old. his sister mary is 3 year older than john is.
a)write an expression for the sum of their ages
b)the diferrence between their ages. if 4 times the sum of their ages didvided by 20 is equal to difference between their ages, find both jons and mary's ages.
These six example questions that im having problem with i hope you could exlplain every single one for me thans in advance.. 1 solutions
Answer 97782 by checkley71(8403) on 2008-03-25 15:53:16 (Show Source):
You can put this solution on YOUR website!X & X+2 ARE THE 2 CONSECUTIVE ODD NUMBERS.
5X+3(X+2)=62
5X+3X+6=62
8X=62-6
8X=56
X=56/8
X=7 FOR THE SMALLER ODD NUMBER.
7+2=9 IS THE LARGER ODD NUMBER.
PROOF
5*7+3*9=62
35+27=62
62=62
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7X+4(X+5)=108
7X+4X+20=108
11X=108-20
11X=88
X=88/11
X=8 ANSWER FOR THE SMALLER NUMBER.
8+5=13 FOR THE LARGER NUMBER.
PROOF
7*8+4*13=108
56+52=108
108=108
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X+X+1+X+2=57
3X+3=57
3X=57-3
3X=54
X=54/3
X=18 ANSWER FOR THE SMALLER NUMBER.
18=1=19 THE NEXT NUMBER.
18+2=20 THE LARGER NUMBER.
PROOF.
18+19+20=57
57=57
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I'LL END HERE AS WE ARE TUTORS NOT HOMEWORK SOLVERS.
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Linear-equations/133625: This question was on my most recent test. I got the question wrong but have the opportunity to correct it for extra credit. What is the slope of 3x-y=6? I need to show the steps involved for full credit. Thanks for your assistance. 1 solutions
Answer 97776 by checkley71(8403) on 2008-03-25 15:35:59 (Show Source):
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Triangles/133586: Please help, I am stuck. Thank you
The length of the base of an isosceles triangle is one fourth the length of one of its legs. If the perimeter of the triangle is 90 cm, what is the length of the base? I would really appreciate any help you could give. 1 solutions
Answer 97747 by checkley71(8403) on 2008-03-25 10:26:22 (Show Source):
You can put this solution on YOUR website!ISOSCELESE TRIANGLES HAVE 2 EQUAL SIDES.
BASE=X/4 WHERE X=LENGTH OF THE EQUAL SIDES.
2*X+X/4=90
2X+X/4=90
(4*2X+X)/4=90
(8X+X)/4=90
9X=360
X=360/9
X=40 ANSWER FOR THE LENGTH OF THE EQUAL SIDES.
BASE=40/4=10 LENGTH OF THE BASE.
PROOF
2*40+10=90
80+10=90
90=90
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Miscellaneous_Word_Problems/133548: This question is from textbook Elementary and Intermediate Algebra
In section titled: Solving Quadratic Equations by Factoring
96. Venture capital. Henry invested $12,000 in a new restaurant. When the restaurant was sold two years later, he received $27,000. Find his average annual return by solving the equation 12,000(1+r)^2=27,000
Thanks for the help. 1 solutions
Answer 97746 by checkley71(8403) on 2008-03-25 10:19:08 (Show Source):
You can put this solution on YOUR website!12000(1+R)^2=27000
(1+R)^2=27000/12000
(1+R)^2=2.25
1+2R+R^2=2.25
R^2+2R+1-2.25=0
R^2+2R-1.25=0
(R-.5)(R+2.5)=0
5-.5=0
R=.5 OR 50% IS THE ANNUAL RETURN.
PROOF:
12000(1+.5)^2=27000
12000(1.5)^2=27000
12000*2.25=27000
27000=27000
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