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2 years ago

The coordinate plane below represents a city. Points A through F are schools in the city.

1 answer:

7 0

Part A:
a system of inequalities that only contain points D and E in the overlapping shaded regions is
5y + 2x > 12
2y - x < 12

Part B:
To verify that points D and E are solutions to the system of inequalities, we plug in the coordinate points of points D and E into the system of ineaqualities.

Part C:
To identify the schools that Timothy is allowed to attend we plug in the coordinate values of the points to see which satisfies the inequality y < 3x - 3. Thus Timothy is allowed to attend schools C and F.

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Today joelle walked at a rate of 3 miles per hour and she ran 15 minutes at a rate of 6 miles per hour.How many total miles did

svetoff [14.1K]

I added a screenshot with the complete question

Answer:
Total miles = 2.5 miles

Explanation:
1- While walking:
We are given that Joelle walked 20 minutes at a rate of 3 miles per hour.
This means that she walked $\frac{20}{60} = \frac{1}{3}$ of an hour at a rate of 3 miles per hour
The formula that relates distance, time and velocity is:
Distance = velocity * time
Substitute with the givens to get the distance she covered while walking:
Distance = 3 * $\frac{1}{3}$ = 1 mile

2- While running:
We are given that Joelle ran 15 minutes at a rate of 6 miles per hour
This means that she ran $\frac{15}{60} = \frac{1}{4}$ of an hour at a rate of 6 miles per hour
The formula that relates distance, time and velocity is:
Distance = velocity * time
Substitute with the givens to get the distance she covered while running:
Distance = 6 * $\frac{1}{4}$ = 1.5 miles

3- getting the total mileage:
Total distance she covered = distance while walking + distance while running
Total distance she covered = 1 + 1.5
Total distance she covered = 2.5 miles

Hope this helps :)

4 0

3 years ago

Need help on these question

hoa [83]

* D'C'

* 90

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6 0

3 years ago

Sandra is 4 feet tall. Pablo is 10% taller than Sandra and Michaels is 8% taller than Pablo. What is Michael height in feet

taurus [48]

We first calculate Pablo's height .

4 = 100%

x = 1% (Where x is 1% of Sandra's height.)

cross multiplying the equation, we get:

100x = 4 → x = 4/100 → x = 0.04

If 1% = 0.04, then 10% will be 0.04 × 10 = 0.4

Pablo's height is 4 + 0.4 = 4.4 feet.

Now we repeat the above steps to get Michal's height from Pablo's height

4.4 = 100%

x = 1% so:

100x = 4.4 → x = 4.4/ 100 → x = 0.044

If 1% = 0.044, then 8% will be 0.044 × 8 = 0.35

Michael's height is 4.4 + 0.35 = 4.75 feet.

5 0

3 years ago

Plz do this question if you did I will very appreciated you. plz.

Nastasia [14]

The area formula of a circle is $r^{2}$ × π.

With that being said, we can solve both problems!

Starting with part A:

-The radius we know is 21cm. From there, we can substitute in our formula with the new value.

$21^{2}$ x π

From there, we can square our radius:

(21 x 21) x π

(441) x π

And finally, we can multiply by pi to get our answer.

(441) x π

1385.44236023

Which rounded to the nearest tenth is 1385.4. Therefore, the area of the porthole is 1385.4 centimetres.

The second part can be followed with the same process, hopefully you understand the concept enough to where you're comfortable solving problems like this on your own. Feel free to reach out if you have any further trouble!

Hope this helped! :)

5 0

3 years ago

500 tickets were sold for a game for a total of $862.50. If adult tickets sold for $2.00 and children's tickets sold for $1.50,

Alexxandr [17]

You can work these in your head if you consider the revenue generated by the least contributor (children's tickets) and the difference in revenue between that and the larger contributor ($2.00 -1.50 = 0.50).

If all were children's tickets, the revenue would be 500*$1.50 = $750.00. The actual revenue exceeded that amount by $862.50 -750.00 = 112.50. This difference in revenue is made up by the sale of $112.50/$0.50 = 225 adult tickets. Then the number of children's tickets is 500 -225 = 275.

225 adult tickets were sold
275 children's tickets were sold.

_____
If you need an equation, you can write an equation using a variable for the number of adult tickets sold (the largest contributor).
.. (500 -a)*1.50 +a*2.00 = 862.50
.. 0.50a = (862.50 -750.00) . . . . . does this look familiar, yet?
.. a = 112.50/0.50 = 225

6 0

3 years ago