rate hw answers
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Rate HW Answers. 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 16. 17. 18 . Scoring Your Homework. Count how many problems you missed or didn’t do 0-1 missed = 10 2-3 missed = 9 4-5 missed = 8 6-7 missed = 7 8-9 missed = 6. 10-11 missed = 5 12-13 missed = 4 - PowerPoint PPT PresentationTRANSCRIPT
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Rate HW Answers
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1.
2.
3.
4.
t =1
15hrs
t =20hrs
t =12m in
5.
6.
7.
8.
t =2
12hrs
t =3
37hrs
A
C
r =60m ph
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9.
10.
11.
12.
x =19,−13
no solution
x =−6
x =25%
13.
14.
15.
16.
x =−4
undefined
0
−
213
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17.
18.
0,1( )
0,−3( )
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Scoring Your Homework• Count how many problems you missed
or didn’t do
• 0-1 missed = 10• 2-3 missed = 9• 4-5 missed = 8• 6-7 missed = 7• 8-9 missed = 6
• 10-11 missed = 5• 12-13 missed = 4• 14-15 missed = 3• 16-17 missed = 2• 18-19 missed = 1• 20-21 missed = 0
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Daily Check
• No talking to other groups• Make sure all answers match• Only one is graded
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1. Karen has her own business making cloth “ouch-pouches”, little first aid kits with snaps. She assembles them and puts them in a box. It takes Karen 3 hours to put snaps on all the pouches in a box, while her sister Kathy takes 5 hours. How long would it take both of them together to put snaps on one box?
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2. Thelma and Louise are driving on a 810 mile trip. Thelma drives for the first 3 hours at an average rate of 60 mi/hr. If Louise takes over for the rest of the trip which takes a total of 12 hours to complete, what is the average rate at which Louise drives?
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3. Three identical strips of lawn at Balboa Park need to be mowed. Mo can do the strips in 2 hours using a riding lawn mower. Curly takes 3 hours using a regular walking mower. If they work together, how long will it take for both of them to finish all three strips?
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4. Find the roots.
y=2x2 −x−3
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5. Which is one of the solutions to the equation?
a. one b. two
c. three d. none
y=4x2 +8x+ 4
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Turn your hw in!
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Mixture Problems
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Ex #1: Sterling Silver is 92.5% pure silver. How many grams of Sterling Silver must be mixed to a 90% Silver alloy to obtain a 500g of a 91% Silver alloy?
Component #1
Component #2
Mixture
+
=
A=amount P=percent A P
.925x .925x
.90y .90y
.91500 455
Sterling Silver
Silver Alloy
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Component #1
Component #2
Mixture
+
=
A=amount P=percent A P
.925x .925x
.90y .90y
.91500 455
x + y = 500.925x + .90y = 455
Sterling Silver
Silver Alloy
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x + y = 500.925x + .90y = 455
– 900x – 900y = –450000925x + 900y = 455000
1000
-900
25x = 5000x = 200 grams
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Ex #2: How many gallons each of a 4% and 11% salt solution should be mixed to obtain 35 gallons of a 7% solution?
4%
11%
7% mix
+
=
A=amount P=percent A P
.04x .04x
.11y .11y
.0735 2.45
Component 1:
Component 2:
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x + y = 35.04x + .11y = 2.45
4%
11%
7% mix
+
=
A=amount P=percent A P
.04x .04x
.11y .11y
.0735 2.45
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x + y = 35.04x + .11y = 2.45
–4x – 4y = –1404x + 11y = 245
100
-4
7y = 105y = 15gallons
x + 15 = 35x = 20 gallons
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Ex #3: A chemist has 40 mL of a solution that is 50% acid. How much water should be added to the original solution to make a solution that is 10% acid?
A=amount P=percent A P
0.540 20
0x 0
0.1y 0.1y10% mix
+
=
50% solution
Water (0%)
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40 + x = y 20 + 0 = 0.1y
10% mix
+
=
A=amount P=percent A P
0.5040 20
0x 0
0.1y 0.1y
50% solution
original
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20 = 0.1y40 + x = y
40 + x = 200
200 = y
10
x = 160 mL
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Ex #4: How many gallons of a 3% acid solution must be mixed with 60 gallons of 10% acid solution to obtain an acid solution that is 8%?
3%
10%
8% Mix
+
=
A=amount P=percent A P
.03x .03x
.1060 6
.08y .08y
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x + 60 = y.03x + 6 = .08y
3%
10%
8%
+
=
A=amount P=percent A P
.03x .03x
.1060 6
.08y .08y
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.03x + 6 = .08y
x + 60 = y
3x + 600 = 8(x + 60)
3x + 600 = 8y
100
3x + 600 = 8x + 480600 = 5x + 480120 = 5x
24 = x
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Ex #5: You are creating a potting mix for your window boxes that is 20% peat moss and 80% potting soil. You add 100% potting soil to your mix that is currently 50% peat moss and 50% potting soil. You have 4 buckets of the mix that is half and half. Do you have enough of the half and half mix to make 8 buckets of the mix that is 20% peat moss and 80% potting soil. Explain your answer.
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x + y = 8.5x + y = 6.4
50%
100%
80% mix
+
=
A=amount P=percent A P
.5x .5x
1y y
0.808 6.4
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x + y = 8.5x + y = 6.4
–10x – 10y = –805x + 10y = 64
10
-10
-5x = –16x = 3.2
Yes, you have 4 buckets and only need 3.2