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alexgriva [62]
3 years ago
8

There are 80 people in Ms. Peterson's classes. One-fourth of the students are going on a field trip. Of those students, one-half

are bringing their lunch. How many students are going on the field trip and bringing their lunch?
A. 10 students
B. 20 students
C. 30 Students
D. 15 Students
Mathematics
1 answer:
Naily [24]3 years ago
3 0
20 students are going to the trip and of those 20, 10 are bringing their own lunches
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The size of the largest angle in a triangle is 3 times the size of the smallest angle.
tamaranim1 [39]

The sizes of the angles are 34° , 44° , 102°

Step-by-step explanation:

The given is:

  • The size of the largest angle in a triangle is 3 times the size of the smallest angle
  • The third angle is 10° more than the smallest angle
  • The size of the third angle is x

We need to find the size of each angle in the triangle

∵ The size of the smallest angle = x°

∵ The size of the largest angle is 3 times the size of the smallest angle

∴ The size of the largest angle = x × 3 = (3x)°

∵ The third angle is 10° more than the smallest angle

∴ The size of the third angle = (x + 10)°

Add the size of the three angles and equate the sum by 180°

∵ The sum of the sizes of the interior angles of a Δ is 180°

∴ x + (3x) + (x + 10) = 180

∴ x + 3x + x + 10 = 180

- Add like terms

∴ 5x + 10 = 180

- Subtract 10 from both sides

∴ 5x = 170

- Divide both sides by 5

∴ x = 34

∵ x is the size of the smallest angle

∴ The size of the smallest angle is 34°

∵ 3x is the size of the largest angle

∴ The size of the largest angle = 3(34) = 102°

∵ x + 10 is the size of the third angle

∴ The size of the third angle = 34 + 10 = 44°

The sizes of the angles are 34° , 44° , 102°

Learn more:

You can learn more about the triangles in brainly.com/question/1479138

#LearnwithBrainly

6 0
3 years ago
Solve the system: 10x-9y=8 21y+15x=0.5
artcher [175]

Answer:

x = 1/2 y = -1/3

Step-by-step explanation:

Split it into 2 equations:

10x-9y=8

and

21y+15x=0.5

10x - 9y = 8

Step 1: Divide both sides by 10:

x = (8+9y)/(10)

Substitute x = (8+9y)/(10) into 21y+15x=0.5 :

21y + (3(8+9))/(2) = 0.5

Solve for y

<u>y= -1/3</u>

Substitute y= -1/3 into x = (8+9y)/(10)

<u>x = 1/2</u>

<u />

3 0
3 years ago
A grocery store has 18 cartons of yogurt for sale, of which 6 are vanilla.
kicyunya [14]

Answer:

1/3

Step-by-step explanation:

If 6/18 of the cartons are vanilla that means that those are the odds of you picking a vanilla at random

6/18=1/3

8 0
3 years ago
Read 2 more answers
10 points someone help me please!?
Soloha48 [4]

Answer:

\large\boxed{b=\sqrt{95}}

Step-by-step explanation:

Use the Pyhagorean theorem:

leg^2+leg^2=hypotenuse^2

We have

leg=b,\ leg=7,\ hypotenuse=12

Substitute:

b^2+7^2=12^2

b^2+49=144       <em>subtract 49 from both sides</em>

b^2=95\to b=\sqrt{95}

7 0
3 years ago
A rectangular prism has a length of 5 cm, a width of
kobusy [5.1K]
A rectangular prism has a length of 5 cm, a width of
2.
cm, and a height of 1 cm
cm.
Which expressions can be used to find the volume of the prism?
Select each correct answer.
5 • 2 1/2
12 1/2 • 1 1/2
1 1/2 (5 + 2 1/2)
1/2 (12 1/2 • 1 1/2)


8 0
3 years ago
Read 2 more answers
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