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ELEN [110]
3 years ago
7

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

Mathematics
1 answer:
astra-53 [7]3 years ago
7 0
Part A:
<span>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:
</span>To <span>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.</span>
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A basketball court is a rectangle. If a court measures 60 feet by 40 feet, what is the length of the diagonal from one corner of
alexdok [17]
Pythagorean theorem: a²+b²=c²
Where c = length of the hypotenuse (diagonal of a triangle)

60²+40²=c²
3600+1600=c²
5200=c²
c=√5200
c ≈ 72.11 ft
3 0
3 years ago
Alicia has been putting her money from work into her savings account. The equation f(x)=13x+100 can be used to represent the inc
labwork [276]

Answer:

f(18)=334

Step-by-step explanation:

  • f(x)=13x+100
  • f(18) = 13(18)+100
  • f(18)=234+100
  • f(18)=334
3 0
3 years ago
Fifteen less than twice a number is 21.<br> What is the missing number? |
Vikentia [17]

Answer:

2y - 15

Step-by-step explanation:

well 15 LESS than TWICE a number. okay so let’s start off by making a variable for the unknown number.... y. the variable is y. so now we have to think, TWICE that number, but we don’t know the number.

Now that we have the variable and we know it has to be doubled, let’s start off making the first half... we can out that into 2y. which is 2 multiplied by the unknown number.

now that we have the first half done, we have to take the 15 less. Less can mean  or subtract in this kind of situation. but for this certain scenario, it will be subtraction. so the equation would be 2y - 15.

4 0
3 years ago
2. Saul invested an average of $425 per month since age 30 in various securities for his
BabaBlast [244]

Answer:

$507.30

Step-by-step explanation:

-Given the monthly deposits are $425 and the interest rate is 3.5% for 30 years.

-The amount of the investment after 30 years is calculated as;

A=P(1+i/n)^n, n=time \ in \ months\\\\=425(1+0.035/12)^{30\times 12}\\\\=1212.65

-Assuming Saul started saving at age 20, his investment term will be 40 yrs.

-His investment amount is thus:

A=P(1+i/n)^n, n=time \ in \ months\\\\=425(1+0.035/12)^{40\times 12}\\\\=1719.95

#We subtract to find how much more he would have if he started saving at 20;

=A_{20}-A_{30}\\\\=1719.95-1212.65\\\\=507.30

Hence, Saul would have $507.30 more had he started saving 10 years earlier.

5 0
3 years ago
4/5 + 5/6 + 7/2 equals what
Zanzabum
Equal to 5.13333...
Or 77/15
3 0
3 years ago
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