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dlinn [17]
3 years ago
13

Solve by simplifying the problem. There are 18 students in Mr. Alvarez’s art class. Throughout the year, every student must pair

up with every other student to complete a project. How many projects will be finished?
Mathematics
1 answer:
Alla [95]3 years ago
5 0
We are given with an 18 student class that is working a project worked by pairs. Each pair works on a project. In this case, there are 9 teams of 2 individuals working on a single project. Hence for a year or school year, there are 9 projects accomplished each time.
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Identify any solutions to the system given below. 2x + y = 5 3y = 15 – 6x (6, –7) (2, 1) (–2, –9) (–4, 13)
sashaice [31]

Answer:

The answer (2, 1), (-4,13), (6,-7)

Step-by-step explanation:

Consider 2x+y=5 as equation 1, and 3y=15-6x as equation 2

1. Substituting values x and y with x=2 and y=1 as given by the coordinates (2,1)

Equation 1

2(2)+1=5 therefor it holds

Equation 2

3(1)=15-(6×2) also holds

2. Substituting values x and y with x=6 and y=-7 as given by the coordinates (6,-7)

Equation 1

2(6)+(-7)=5

5=5 holds

Equation 2

3(-7)=15-(6×6)

-21=-21 also holds

3. Substituting values x and y with x=-4 and y=13 as given by the coordinates (-4,13)

Equation 1

2(-4)+13=13-8=5 holds

Equation 2

3(13)=15-(6×-4)=39  also holds

4. Substituting values x and y with x=-2 and y=-9 as given by the coordinates (-2,-9)

Equation 1

2(-2)+(-9)=-4-9=-13≠5 does not hold

Equation 2

3(-9)≠15-(6×-2)

-27≠27 does not hold

The coordinates (2,1), (-4,13) and (6,-7) can be used as solutions to the system given

8 0
4 years ago
Read 2 more answers
The table shows the distance Allison drove one day of her vacation. Is the relationship between the distance and the time propor
miv72 [106K]

Answer:

hope that it helps you any

Step-by-step explanation:

first hour she drove 60mi

second hour she drove 50mi

third hour she drove 70mi

fourth hour she drove 20mi

fifth hour she drove 75mi

all together she drove 275miles

take 275 divide it by 5 you get an average of 55mph

7 0
3 years ago
Solve y over negative 2 5 = 13.
devlian [24]
Y/-2 + 5 = 13
y/-2 = 13 - 5 = 8
y = -2(8) = -16
y = -16
8 0
3 years ago
Read 2 more answers
Help!!!! please!!!! ill give brainliest!!!!
Anna [14]

Answer: The 2nd option is correct.

Step-by-step explanation:

Since you have started off with 4 players, the number line needs to start at 5, because 9 - 4 = 5. This gives us the answer of the second option, because it starts at 5 and goes to the positive side.

3 0
3 years ago
The measurements of two sides of a triangular playground are 24 feet and 30 feet. Which length could be the measurement of the t
Likurg_2 [28]

The length measurement of the third side of the triangular playground whose two sides are 24 ft and 30 ft long should be more than 6 but less than 54.

<h3>What is triangle inequality theorem?</h3>

Triangle inequality theorem of a triangle says that the sum of the two sides of a triangle is always greater than the third side.

Suppose a, b and c are the three sides of a triangle. Thus according to this theorem,

(a+b)>c

(b+c)>a

(c+a)>b

There is a triangular playground. The measurements of two sides of a triangular playground are 24 feet and 30 feet.

Suppose the length of the measurement of the third side of the triangular playground is <em>c</em> meters.

As the two sides are 24 ft and 30 ft long. Thus, by the triangle inequality theorem,

24+30 > c\\54 > c

For the sides 24 ft and c ft,

24+c > 30\\c > 30-24\\c > 6

Thus, the length measurement of the third side of the triangular playground whose two sides are 24 ft and 30 ft long should be more than 6 but less than 54.

Learn more about the triangle inequality theorem here;

brainly.com/question/26037134

5 0
2 years ago
Read 2 more answers
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