Answer:
861 : 615
Step-by-step explanation:
7 + 5 = 12
246 ÷ 12 = 123
7 × 123 = 861
5 × 123 = 615
861 -65 = 246
Is that Chole and Dave <em>each </em>get 2.5 times Ann? Let's assume so.
A:B=2 : 9
A:C:D=1 : 2.5 : 2.5
We can scale ratios without changing them, like fractions.
A:C:D=2:5:5
With A the same in both ratios we can put them together.
A:B:C:D=2:9:5:5
There's some scale factor k such that
k(2+9+5+5)=399
k = 399/21 = 19
Bill gets 9 shares of 19, 9×19 = 171
Answer: 171 pounds
Answer:
x = 18 degrees
Step-by-step explanation:
We are given 72 degrees. The box on the bottom left of the ramp is at a 90 degree angle. Given that this triangle will add up to 180 degrees no matter what we add the two given degrees; 72 + 90 = 162. Now we subtract; 180 - 162 = 18 degrees.
Answer:
6.11km/hr
Step-by-step explanation:
Let the speed that Kelli swims be represented by Y
Speed of the river = 5km/hr
Distance = Speed × Time
Kelli swam upstream for some distance in one hour
Swimming upstream takes a negative sign, hence:
1 hour ×( Y - 5) = Distance
Distance = Y - 5
She then swam downstream the same river for the same distance in only 6 minutes
Downstream takes a positive sign
Converting 6 minutes to hour =
60 minutes = 1 hour
6 minutes =
Cross Multiply
6/60 = 1/10 hour
Hence, Distance =
1/10 × (Y + 5)
= Y/10 + 1/2
Equating both equations we have:
Y - 5 = Y/10 + 1/2
Collect like terms
Y - Y/10 = 5 + 1/2
9Y/10 = 5 1/2
9Y/ 10 = 11/2
Cross Multiply
9Y × 2 = 10 × 11
18Y = 110
Y = 110/18
Y = 6.1111111111 km/hr
Therefore, Kelli's can swim as fast as 6.11km/hr still in the water.
Answer:
D
Step-by-step explanation:
The black dot means "included"; the white dot means "excluded".
D is the right answer, as it describes X is equal or greater than -3 and lower than 1