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Alina [70]
3 years ago
6

Which of the following will simplify to the

Mathematics
1 answer:
ki77a [65]3 years ago
3 0

Answer:

f the answer to the question is A

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a boat takes 8 hours to go 6 miles upstream and come back to the starting point. if the speed of the boat is 4 miles per hour in
Romashka-Z-Leto [24]
Consider this option:
1. if to re-write the condition, it is given: total time t=8 hours; upstream=downstream=6 miles; V_boat=4 m/h., V_current=V=?
2. note, that total time=time_upstream+time_downstream, where time_upstream=6miles/(V_boat-V) and time_downstream=6miles/(V_boat+V). Using this it is possible to make up and solve the following equation:
\frac{6}{4+V} + \frac{6}{4-V} =8; \ =\ \textgreater \  \  \frac{V^2-10}{16-V^2}=0; \ =\ \textgreater \  \ V=\sqrt{10} \  \frac{miles}{hour}

answer: √10

P.S. the roots of the equation are √10 and (-√10), only positive values is needed for V.
7 0
3 years ago
A spinner used in a board game is divided into 12 equally sized sectors. Seven of these sectors indicate that the player should
xeze [42]

Answer:

20.8 inches squared

Step-by-step explanation:

Area of spinner:

45.1 is the area of sectors where the token doesn't move, which 5 sectors doesn't move the token (don't forget that the bonus points doesn't move token). Then

45.1/5=9.02

9.02*12=108.24

K=1/2(r^2)sin150

108.24=1/2(r^2)sin150

216.48=(r^2)1/2

432.96=r^2

r=20.8

7 0
3 years ago
A blank is a rectangular ​
UNO [17]

Answer:

I would say parallelogram. So the rectangle still fits but more shapes can be applied.

8 0
3 years ago
Midpoint of (1,3) and (4,-5)
crimeas [40]

Answer:

The rigth answer is, ( 5/2 , -1 )

Step-by-step explanation:

To find the midpoint we use the respective formula:

m = ( x1 + x2 / 2 ,  y1 + y2 / 2 )

We replace:

m = ( 1 + 4/2  ,  3 + (- 5) / 2 )

We solve:

m = ( 5/2 ,  -1 )

5 0
2 years ago
128 POINTS IF YOU HELP
Aleksandr-060686 [28]
(A) We let y = the cost and are told x = the number of people. Since you pay $20 per person, the cost is 20x. That is, y=20x

(B) Again, let the cost =y and the number of people is given as x. You pay $10 per person or 10x plus an additional $50 for the room. That is, y=10x+50

(c) Link to graphs: https://www.desmos.com/calculator but if that doesn't work see the attachment for a screen shot. You just have to put the equations (type them) at left and the graph comes automatically.

(D) The admission price is the same when the two equations are equal. You can find this by setting them equal to each other as such: 20x = 10x+50 and solving for x. However, since you just graphed them the point of intersection (where the lines share/have the same point) gives the information. Remembers that (x,y) = (people, cost). The graphs intersect at (5, 100) so for 5 people the cost is the same and the cost is $100.

(E) For the regular rate we let x = 6 and solve for y (the cost). We get y = 20x which is y = (20)(6)=120. It costs $120 using the regular rate to take 6 people. Now let's use the equation for the group rate again with x = 6. Here we get y = 10x +50 or y = 10(6)+50 = $110. The group rate costs $110.

(F) The cost is the same at 5 people but if there are more than five the group rate is better as we saw in part E. So the regular rate is better for less than 5 people.

(G) Here y = $150. Let us use the group rate formula and solve for x (the number of people). 10x+50 = 150 so 10x = 100 and x = 10. Since 10 is more than 5 this is the better deal. However if you don't believe it or want to double check we can solve for x using y = 150 and the regular rate equation. We get: 20x = 150 so x = 7.5 Since we can't bring half a person we would only be able to bring 7 and that is less than 10 so this is not the best choice. Use the group rate and bring 10 people!

8 0
3 years ago
Read 2 more answers
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