Answer:
8. $35.10
9. $59.63
10. $13.43
11. $70
12. Take the percent you pay (100-the discount) as a decimal and multiply it by the regular price.
Step-by-step explanation:
For finding the price we pay during a sale, we focus on the percent we pay. If 22% off is the sale, then we spend 78% or 100-22-78. We use this percent byb multiplying the price with a decimal. We convert percents into decimals by dividing the percent number by 100. For example, 78% divided by 100 becomes 0.78.
8. Percent off is 22%. We pay 78%=0.78.
45(0.78)=$35.10
9. Percent off is 33%. We pay 67%=0.67.
89(0.67)=$59.63
10. Percent off is 44%. We pay 56%=0.56.
23.99(0.56)=$13.43
11. Percent off is 75%. We pay 25%=0.25.
279.99(0.25)=$70
12. See explanation above.
Answer:
Step-by-step explanation:
You are to make 5 assemblies.
Each assembly requires the use of 1 Type A bolt.
To make the 5 assemblies, you need 5 Type A bolts.
The container of bolts has a total of 60 bolts.
The focus - Type A bolts - is 20 out of this 60.
The probability of obtaining a Type A bolt at all, is 20/60, which is = 1/3
(A) What is the probability of taking the exact number of Type A bolts you need for your 5 assemblies, if you randomly take 10 bolts from the container?
- The exact number of Type A bolts you need for the 5 assemblies is 5
1/3 × 5/10 = 5/30 = 1/6 = 0.167
(B) What is the probability of taking/having less than 5 Type A bolts out of the randomly selected 10 bolts? The solution is to sum up the following:
1/3 × 4/10 = 0.133
1/3 × 3/10 = 0.1
1/3 × 2/10 = 0.067
1/3 × 1/10 = 0.033
1/3 × 0/10 = 0
TOTAL = 0.333
Answer:
Step-by-step explanation:
z = 3
2y + z = 1
2y + 3 = 1 {substituting z =3}
2y = 1 -3
2y = -2
y = - 2/2
y = -1
2x +3y +2z = 13
2x + 3 * (-1) + 2*3 = 13 { {substituting z =3} and y = -1}
2x -3 + 6 =13
2x + 3 = 13
2x = 13 - 3
2x= 10
x = 10/2
x = 5
Answer:
subtract 3m from both sides
Step-by-step explanation:
