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Sladkaya [172]
2 years ago
10

mrs. grady surveyed 30 students, 11 of which said they liked basketball, 16 of which said they liked hockey, and 3 of which said

they liked both sports. how many students did not like either sport?
Mathematics
1 answer:
Neko [114]2 years ago
8 0
Out of 30 students, if you add up 11, 16, and 3, you get 30. Which means there is no remainder and there are no students that did not like either sport.
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Solve the system of equations for x and y.<br> y = x + 5<br> y = 2x + 2
DIA [1.3K]
Answer (x,y) (3, -2)

Explanation:
using the
substitution method
y
=
x
−
5
→
(
1
)
y
=
−
2
x
+
4
→
(
2
)
since both equations are expressed in terms of x we

can equate them
⇒
x
−
5
=
−
2
x
+
4
add 2x to both sides
2
x
+
x
−
5
=
−
2
x
+
2
x
+
4
⇒
3
x
−
5
=
4
add 5 from both sides
3
x
+
5
−
5
=
4
+
5
⇒
3
x
=
9
divide both sides by 3
3
x
3
=
9
3
⇒
x
=
3
substitute this value in
(
1
)
y
=
3
−
5
=
−
2
As a check
substitute these values into
(
2
)
right
=
−
6
+
4
=
−
2
=
left
⇒
point of intersection
=
(
3
,
−
2
)
3 0
2 years ago
Find the simple interest earned after 5 years on $1200 invested at 2% annual interest rate
makkiz [27]
Multiply principle by time by rate
1200(.02)(5)
120
8 0
3 years ago
Please help and is #2 right?????
Rudiy27
Number two is quadrant 3 if you look up quadrants on a graph it will show you where each quadrant is. You can use this website symbolab for number 3. 
You can use Desmosgraphing for number 4
4 0
3 years ago
Read 2 more answers
A circle has a circumference of 28π centimeters. In terms of π, what is the area of the circle to the nearest square centimeter?
Vadim26 [7]

Hi there!

The formula to find the are of a circle is :

a = \pir²

The formula to find the circumference of a circle is :

c = 2\pir


In order to use the area formula, you need to figure out what the radius (r) is.

If we solve for "r" in the circumference equation, we have :

r = c ÷ (2\pi)


Now we use this to replace "r" in the area formula :

a = \pi ( c ÷ (2\pi))²


When we simplify this we get :

a = c² ÷ 4\pi


Now you can put your value of "c" into this equation and find "a".

*Remember, \pi is about 3.1416.


Solving for "a" :

a = c² ÷ 4\pi

a = 28² ÷ 4\pi


28² = 28 × 28 = 784


a = 784 ÷ 4\pi


4\pi = 4 × \pi = 12.56637061435917


a = 784 ÷ 12.56637061435917

a = 62.38873769202297cm²


You need to round to the nearest square centimeter, which means that you need to round to the nearest whole number :

a = 62cm²


There you go! I really hope this helped, if there's anything just let me know! :)

8 0
3 years ago
The drama club spent $336 on T-shirts if each t-shirt cost $12 how many t-shirts did the drama club buy? what strategy would be
mr_godi [17]

Answer:

28 t-shirts

Step-by-step explanation:

x = # of t-shirts

12x = 336

x = 28

3 0
2 years ago
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