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Anni [7]
3 years ago
14

GH has a midpoint at M (5,9). Point H is at (8,9). Find the coordinates of point G

Mathematics
1 answer:
natta225 [31]3 years ago
7 0

Answer:

(2,9)

Step-by-step explanation:

The midpoint of a point is halfway between two points. The distance between the midpoint and point H is 3 because the distance from 5 to 8 is 3. Therefore 3 away from 5 would be 2.

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A motorboat takes 3 hours to travel 108 km going upstream. The return trip takes 2 hours going downstream. What is the rate of t
PtichkaEL [24]
Recall your d = rt, distance = rate * time.

let's say the boat has a still water rate of "b", and the current has a a rate of "c", ok.... when the boat is going upstream, is not really going "b" fast, is going  slower at "b - c", due to the current going in the opposite direction.

when the boat is coming downstream, is not going "b" fast either, is going faster, is going "b + c", due to the current adding speed to it.

we know the trip up was 108 kms, thus the return trip is also 108 kms.

\bf \begin{array}{lccclll}
&distance&rate&time\\
&-----&-----&-----\\
Upstream&108&b-c&3\\
Downstream&108&b+c&2
\end{array}
\\\\\\
\begin{cases}
108=3(b-c)\implies \cfrac{108}{3}=b-c\implies 36+c=\boxed{b}\\\\
108=2(b+c)\\
--------------------\\
108=2\left(\boxed{36+c} +c \right)
\end{cases}
\\\\\\
\cfrac{108}{2}=36+2c\implies 54=36-2c\implies \cfrac{54-36}{2}=c

and surely you know how much that is.

what's the boat's speed? well, 36 + c = b.
8 0
3 years ago
Ashley, tom, and pablo sent a total of 90 text messages over their cell phones during the weekend. pablo sent 6 fewer messages t
dalvyx [7]
Ashley sent 27 messages, Pablo sent 21, and Tom sent 42.
5 0
3 years ago
Carmen deposited $6,000 into a savings account that earns 2.8% interest compounded annually. How much will she have in her accou
Anna [14]

To help Carmen find the total after 3 years

We'll have to use the annual compound interest formula: A = P(1 + r)ⁿ

A = Final balance (?)

P = Principal balance (6000)

r = Rate (0.028)

n = years (3)

A = 6000(1 + 0.028)³

A = 6000(1.028)³

A = 6000(1.086373952)

A = 6518.243712

Round that to the nearest cent, and we get $<u>6,518.24 </u>as the answer.

6 0
2 years ago
Suppose that E and F are two events and that N(E and F)=450 and N(E)=700. What is P(F|E)​?
Gennadij [26K]

Answer:i really dont know

Step-by-step explanation:

6 0
3 years ago
Explanation please I need to know how you got the answer thank you!
Blababa [14]

Answer:

19.6, B

Step-by-step explanation:

To solve, we need to figure out how many gallons of white paint she needs for every gallon of brown paint.

We are given this equation.

5 gallons of brown paint = 7 gallons of white paint

Divide both sides by 5.

1 gallon of brown paint = 7/5 gallons of white paint = 1.4 gallons of white paint

Now, using this, substitute 14 into the left side.

14 gallons of brown paint = 1.4 * 14 gallons of white paint

14 gallons of brown paint = 19.6 gallons of white paint

Thus, the answer is B, 19.6 gallons

8 0
3 years ago
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