3r = 10 + 5s, when r = 10
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Substitute 10 for r.
3(10) = 10 + 5s
30 = 10 + 5s
Subtract 10 from each side.
20 = 5s
Divide by 5.
4 = s
30=10+5s
20=5s
4=s
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1) The points (-2,5) and (2,3) lie on the same line. Write the equation of the line in slope-intercept form. Type your answer in as y=mx+b. 2) The slope of a line is -12, and the line passes througin the point (0,8). Write the equation for the line in slope intercept form. Type your answer in as y=mx+b.
B √1.3
C √1.4
D √1.5
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Answers
Answer:
8 pounds of raisin, 6 pounds of granola and 16 pounds of peanuts
Step-by-step explanation:
Lets form equations first.
->Peanuts cost $2.50 per pound, raisins cost $2.00 per pound, granola costs $4.00 per pound
2.50p + 2.00r + 4.00g= 80 -->eq(1)
-> bought ingredients to make 30 pounds of trail mix
p+ r+ g= 30 -->eq(2)
->If you use twice as many pounds of peanuts as raisins
2r=p
eq(1)=> 2.50p + 2.00r + 4.00g= 80
2.5(2r) + 2r +4g =80
5r + 2r + 4g =80
7r + 4g =80
eq(2)=>
2r+ r+ g= 30
3r + g =30
-4(3r + g =30)
7r + 4g =80
_______________
-5r = -40
r= 40/5 =>8
For 'g':
3(8) + g =30
g= 6
For 'p':
2r=p
p=16
therefore, 8 pounds of raisin, 6 pounds of granola and 16 pounds of peanuts should be bought
Final answer:
The solution to the problem is to buy 20 pounds of peanuts, 4 pounds of raisins and 6 pounds of granola.
Explanation:
This problem requires the use of algebra. Let's denote the amount of peanuts as x, the amount of raisins as y and the amount of granola as z. We have certain constraints according to the problem that need to be satisfied. These are:
- 2*y = x (since the amount of peanuts is twice that of raisins)
- x + y + z = 30 (total weight should equal 30 pounds)
- 2.5x + 2y + 4z = 80 (total price should not exceed $80)
First, substitute x = 2y from the first equation into the other two equations. This gives you the new equations y + z = 10 and 9y + 4z = 80. Next, solve these simultaneous equations. The solutions are y = 4, z = 6. Substituting y into the first equation gives us x = 2*4 = 20. So, you should buy 20 pounds of peanuts, 4 pounds of raisins and 6 pounds of granola.
Learn more about Simultaneous Equations here:
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90 mm / 10 = 9 mm
Hope this helps!
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All you need to know is that 15 is the fifth odd number,
and you need the third odd number.
So the one you want is 2 odd numbers back from 15. That's 11 .
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= 3/4 feet deep
Area of the sidewalk:
= the sides of the pool * the width of the sidewalk + the corners of the sidewalk (width * width)
= 2 sides * 6 (feet / side) * 2 feet + 2 sides * 14 (feet / side) * 2 feet + 4 corners * (2 feet * 2 feet / corner)
= 12 feet * 2 feet + 28 feet * 2 feet + 4 * 2 feet * 2 feet
= 24 feet^2 + 56 feet^2 + 16 feet^2
= 96 feet^2
Volume:
= 96 feet^2 * 3/4 feet
= (96 * 3 / 4) feet^3
= (19 * 3) feet^3
= 57 feet^3
Answer:
the correct answer is B) 72^ft 3