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larisa [96]
3 years ago
10

A bag contains two steel balls and five brass balls. The total weight of the bag is 13 pounds. If two steel balls are added and

two brass balls are removed, the bag’s weight decreases to 12 pounds. If s is the weight of a steel ball and b is the weight of a brass ball, the system of linear equations representing this situation is . Solving the system of linear equations, the weight of a steel ball is , and the weight of a brass ball is . NextReset
Mathematics
1 answer:
nlexa [21]3 years ago
5 0

x = the weight of one steel ball y = the weight of one brass ball 2x + 5y = 13 (2 + 2)x + (5 - 2)y = 12 by solving the above system of equations we find:

x = 1.5 lbs y =2 lbs one steel ball weighs 1.5 lbs.one brass ball weighs 2 lbs.

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A flying disc has a circumference of 75.36 centimeters. What is the area of the flying disc? (Use 3.14 for .)
Hatshy [7]

The area of flying disk is 452.16 square centimeters

Step-by-step explanation:

The disc is in circular shape so we will use the formulas for circle in this question.

Given

Circumference = C = 75.36 centimeters

We have to find the area of the disc for which we have to find the radius first.

Let r be the radius

Then

Circumference is given by:

C=2\pi r

putting the values

75.36 = 2*3.14*r\\75.36 = 6.28r

Dividing both sides by 6.28

\frac{6.28r}{6.28} = \frac{75.36}{6.28}\\r = 12\ cm

The area of circle is given by:

A = \pi r^2

Putting the values

A = 3.14 * (12)^2\\A = 3.14*144\\A =452.16\ cm^2

Hence,

The area of flying disk is 452.16 square centimeters

Keywords: Circle, area

Learn more about circle at:

  • brainly.com/question/12939121
  • brainly.com/question/12941985

#LearnwithBrainly

5 0
3 years ago
AC=22,BC=x+14, and AB=x+10 find x
Elena-2011 [213]

Answer:

AB + BC = AC                 Segment Addition Postulate

(x + 10) + (x + 14) = 22     Substitution

2x + 24 = 22                   Simplify (added like terms)

2x = -2                            Subtraction Property of Equality

x = -1                               Divison Property of Equality

Answer: x = -1

Step-by-step explanation:

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7 0
3 years ago
If 3n=3a-6,which inequality below will make n a positive number?
kicyunya [14]
If 3n=3a-6 than the answer is B
6 0
3 years ago
Between which two ordered pairs does the graph of f(x) = one-halfx2 + x – 9 cross the negative x-axis?
Anit [1.1K]

Answer:

Step-by-step explanation:

we have that

f(x) = x^2 + x - 9

Using a graph tool

see the attached figure

The function represent a vertical parabola that open up

the vertex is a minimum-------> is the point (-0.5, -9.3)

The x-intercepts are the points when the y coordinate is equal to zero

The x-intercepts are the points (-3.5, 0)  and (2.5, 0)

so

the function cross the negative x-axis at point

therefore, the answer is

(-4, 0) and (-3, 0)

6 0
3 years ago
Read 2 more answers
How do you answer this?
SVEN [57.7K]
(m^{-2})^5=m^{-2\cdot5}=m^{-10}

x^2+3x-10=\\
x^2+5x-2x-10=\\
x(x+5)-2(x+5)=\\
(x-2)(x+5)
4 0
3 years ago
Read 2 more answers
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