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Vesna [10]
3 years ago
5

If a picnic area is located at the midpoint between Sacramento and Oakland, find the distance to the picnic area from the road s

ign.
Roseville 5
Sacramento 23
Oakland 110
Mathematics
1 answer:
Oxana [17]3 years ago
7 0
First, think this through. If you are 23 miles from Sacramento, and 110 miles from Oakland (I am assuming it is miles since you didn't specify *cough cough*) then the two cities are 133 miles apart (also assuming you are in between them)
23miles + 110miles = 133miles
so, we use the midpoint formula to find our position
\frac{distance}{ 2}
and get 66.5 miles from both Sacramento and Oakland.

Next, we already know the sign is 23 miles away from Sacramento so we can use that distance and our position to figure out how far away the sign is. We use absolute values because distance is always positive.
|our \: position - distance \: of \: sign|

so we get
|66.5miles - 23miles|  = 43.5miles
to double check, use the sign's distance from Oakland.
|66.5miles - 110miles|  = 43.5miles
so, we are 43.5 miles from the sign!

hope this helps

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Max invests some money in a savings bond.
Mars2501 [29]

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£5650

Step-by-step explanation:

The money max invested in the saving bond = x

After one year the intrest will be 2% of x

Amount = £5763

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7 0
2 years ago
Fiona and Camilla took a load of peaches to the farmer’s market. During the first hour, they sold ½ of the peaches plus ½ of a p
Lana71 [14]
<em>They took 101 peaches to market.</em>

<u>Check:</u>

In the 1st hour, they sold (101/2 + 1/2) = 102/2 = 51.  They had 50 left.

In the 2nd hour, they sold (50/3 + 1/3)=51/3=17.  They had (50-17)=33 left.

In the 3rd hour, they sold (33/4 + 3/4) = 36/4 = 9.  They had (33-9) = 24 left.

In the final hour, they sold (24/5 + 1/5) = 25/5 = 5.  They had (24-5) = 19 left.  yay!

Fiona and Camilla took their 19 remaining peaches and went home.  Sharing with
their parents and their brother Rowlf, each person had 3.8 peaches for dinner.
There was a lot of activity in the bathroom overnight.

================================================

The key to solving this one is to work it backwards.

-- They had 19 peaches left at the end of the day.

-- During the final hour, the 1/5 of a peach that they sold left them with 19,
so they had 19-1/5 before they sold the 1/5 of a peach.
The 19-1/5 was 4/5 of what they had at the beginning of the final hour.
So, at the beginning of the final hour, they had (5/4)x(19.2) = 24 .

-- During the 3rd hour, the 3/4 of a peach that they sold left them with 24,
so they had 24-3/4 before they sold the 3/4 of a peach.
The 24-3/4 was 3/4 of what they had at the beginning of that hour.
So, at the beginning of the 3rd hour, they had (4/3)x(24.75) = 33 .

Do the same for the 2nd hour.

Then do the same for the 1st hour.

And you'll work your way back up to 101 peaches.


4 0
3 years ago
pls help........................................................................................................................
gtnhenbr [62]

Answer:

Check pdf

Step-by-step explanation:

Download pdf
3 0
2 years ago
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