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MissTica
3 years ago
8

1. Write 2.96 as a mixed number or fraction in simplest form? 2. During a soccer game, Erin scored 1 out of 2 goals attempted. L

auren scored 6 out of 8 goals attempted. Write the fracton that represents each and compare, who was the most successful?
Mathematics
2 answers:
makvit [3.9K]3 years ago
8 0
1.  2  96/100
Simplified:
2  24/25

2.  Erin: 1/2
Lauren: 6/8 simplified: 3/4

Compare 1/2 and 3/4 common denominator of 4:
2/4 and 3/4, 3/4 is bigger so Lauren was more successful.

Hope this helps :)
liubo4ka [24]3 years ago
7 0
1. 2.96 = 2 96/100 = 2 24/25 ( thats 2 and 24/25)
2. 1 out of 2 = 1/2 (Erin)
     6 out of 8 = 3/4 (Lauren)
     Lauren is more successful because 3/4 is greater then 1/2
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3x + 6y = 4y - 4
gulaghasi [49]

Answer: y = 2/3x + 41/3

Step-by-step explanation:

First convert the equation into slope-intercept  

3x + 6y = 4y  - 4

      -4y    -4y

3x + 2y = -4

-3x            -3x

  2y = -3x - 4

  y = -3/2x - 2  

Perpendicular lines have a negative reciprocal for their slopes.

The negative reciprocal of -3/2  is   2/3

Now using the slope 2/3 you will use the formula  y =mx +b  and input the  slope, and the x and y coordinates of the given point, (-10,7), to solve for the y-intercept.

  7 = 2/3(-10) + b

 7 = -20/ 3 + b  

+ 20/3   + 20/3

  b =  20/3 + 21/3 = 41/3  

Since the the y-intercept is 41/3 then the equation will be , y = 2/3x + 41/3

   

4 0
3 years ago
If f(x) = [x] - 5, what is (86)?
tatuchka [14]

Answer:

81

Step-by-step explanation:

I am assuming that you are asking what is [x] - 5 if f(86).

When you have this kind of question, what you do is to substitute the variable inside the parenthesis, so like what is says, f(x). If the question replaces the variable x with 86, that means you input the number into the equation.

So [x] - 5, if f(86).

Substitute:

86 - 5

81

4 0
3 years ago
Can someone help me, please I've been getting so many wrong if you get it right I'll give brainiest
Len [333]

<YWX=30°; YX=80÷2=40

WX²+40²=80²

WX²=6,400-1,600

WX=√4,800=√(4×4×4×25×3)=40√3

7 0
3 years ago
What’s the correct answer for this question?
Maksim231197 [3]

Answer

C. 14

Explanation

The area of triangle = 1/2(base)(height)

The height:

the height is the distance from point (2,-3) perpendicular to the base intersecting it at point (2,1)

the height is then the distance between the 2 points = 4

The base:

the base is the distance between points (7,1)and (0,1) = 7

The area:

the area = 1/2 x 4 x 7 = 28/2 = 14 units²

8 0
3 years ago
A circular pond 24 yd in
Schach [20]

Answer:

The walk will cost $8164.

Step-by-step explanation:

Given:

Diameter of the circular pond (D) = 24 yd

Width of the gravel path (x) = 2 yd

Cost per yard of the path = $50

Now, radius of the circular pond is half of the diameter and is given as:

Radius,R=\frac{D}{2}=\frac{24}{2}=12\ yd

Now, area of the pond is given as:

A_{pond}=\pi R^2=3.14\times (12)^2=3.14\times 144=452.16\ yd^2

Area of the complete path including the pond area is given as:

A_{outer}=\pi(R+x)^2=3.14\times(12+2)^2=3.14\times196=615.44\ yd^2

Now, area of the gravel path can be obtained by subtracting the pond area from the total outer area. This gives,

A_{path}=A_{outer}-A_{pond}\\\\A_{path}=615.44-452.16=163.28\ yd^2

Now, using unitary method,

Cost of 1 square yard of path = $50

∴ Cost of 163.28 square yard of path = 50 × 163.28 = $8164

Hence, the walk will cost $8164.

5 0
3 years ago
Read 2 more answers
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