Answer:
x = 10
Step-by-step explanation:
Since the parallelograms are similar then the ratios of corresponding sides are equal , that is
= ( cross- multiply )
6x = 60 ( divide both sides by 6 )
x = 10
Step-by-step explanation:
Answer:
The odds against making a free throw are: 0.1905 or 0.16:0.84
Step-by-step explanation:
The odds can be categorized into two categories
- Odds-against
- Odds-in favour
The odds against is the ratio of probability of failure to probability of success.
Given
Probability of making a free throw = P = 0.84
Probability of not making a free throw = Q = 1-P = 1-0.84 = 0.16
The formula for odds-against is:
Hence,
The odds against making a free throw are: 0.1905 or 0.16:0.84
1. Three consecutive integers: x, x+1, x+2, such that:
x + x + 1 + x + 2 = 120
3 x + 3 = 120
3 x = 117
x = 117:3= 39
The integers are: 39,40,41.
2.
x + x + 2 = x +1 +21
2 x - x = 22 - 2
x = 20
The integers are: 20,21,22.
3. Four consecutive even integers: x, x+2, x+4, x+6
4 ( x + x + 2 ) = 7 (x + 6 ) - 8
8 x + 8 = 7 x + 42 - 8
8 x - 7 x = 34 - 8
x = 26
The integers are: 26, 28, 30 , 32.
Answer:
V_avg = 0.5556 miles/min
V_avg = 0.00926 miles/sec
Step-by-step explanation:
Bonita jogs 2.5 miles west of Vinces' house to school. It took her 15 minutes to arrive.
Speed 1; distance/time = V1 = 2.5/15 = 1/6 miles/min
Furthermore she ran 5 miles to the discount store for personal supplies. This took her 5 minutes.
Thus;
Speed 2; V2 = 5/5 = 1 mile/min
She then slowly walks back to school, which takes her another 10 minutes. Distance from the discount stor to school is 5 miles as stated in speed 2.
Thus;
Speed 3: V3 = 5/10 = ½ mile/min
Her average speed is;
V_avg = (V1 + V2 + V3)/3
V_avg = (1/6 + 1 + ½)/3
V_avg = 10/18 = 0.5556 miles/min
Converting to miles/seconds
60 seconds make 1 minutes, therefore 1 mile/min = 1/60 miles/seconds
Thus;
V_avg = 0.5556 miles/min = 0.5556 × 1/60 miles/sec = 0.00926 miles/sec
