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Andrew [12]
3 years ago
9

1. A 100-foot rope is cut into 2 pieces (a and b). Piece a is 2ft less than 5 times the length of piece b. (a) What is the syste

m that models this situation? (b) Solve the system of equations
PLEASE HELP I WILL GIVE YOU 100PTS IF YOU HELP ME AND ANSWER THIS QUESTION
Mathematics
2 answers:
Mamont248 [21]3 years ago
6 0

Answer:

Represent the longer piece of the rope as (18 + x) and the shorter piece as x. The rope is 100 feet long, so:

(18 + x) + x = 100      Set up equation

18 + x + x = 100        Arrange like terms

18 + 2x = 100            Combine like terms

2x = 82                     Subtract 18 from both sides

x = 41                       Divide both sides by 2

Longer rope length: 12+ 31 =43 feet

Shorter rope length: 57 feet

Check: 59 + 41 = 100 feet

Step-by-step explanation:

tiny-mole [99]3 years ago
6 0

Answer/Step-by-step explanation:

100 divided by 2 = 50

rope a 50 divided by 10 = 5 - 2 = 3 ft

rope b 100 - 3 = 97

change 9 to 5

and change 3 to 43

a = 43

b = 57

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amid [387]

Answer:

Step-by-step explanation:

1.80 + 1.05 = 2.85

3.00 - 2.85 = .15 inches

4 0
2 years ago
Suppose that y varies inversely with x. Write a function that models the inverse function. X= 15 when y= 2
yulyashka [42]
The answer to this question is B: <span>y = 30/x. I hoped I have helped you today!</span>
3 0
3 years ago
4) 8(-2 + 2n) + 3n = 40 +5n
Nikitich [7]

Answer:

use the distributive property to distribute the 8

-16+16n+3n=40+5n

-16+19n=40+5n

-16=40+5n-19n

-16=40-14n

-14n+40= -16

-14n= -16-40

-14n= -56

n= -56/-14

n= 4

5 0
2 years ago
Read 2 more answers
What is the arc measure of BDC in degrees?<br> (4k + 159)<br> P<br> (2k + 153)
andre [41]
<h2>Explanation:</h2><h2></h2>

The diagram is missing but I'll assume that the arc BDC is:

(4k + 159)^{\circ}

And another arc, let's call it FGH. measures:

(2k + 153)^{\circ}

If those arc are equal, then this equation is true:

(4k + 159)^{\circ}=(2k + 153)^{\circ} \\ \\ (4k + 159)=(2k + 153) \\ \\ \\ Solving \ for \ k: \\ \\ 4k-2k=153-159 \\ \\ 2k=-6 \\ \\ k=-\frac{6}{2} \\ \\ k=-3

Substituting k into the first equation:

\angle BDC=(4(-3)+159)^{\circ} \\ \\ \angle BDC=(-12+159)^{\circ} \\ \\ \boxed{\angle BDC=147^{\circ}}

3 0
3 years ago
Read 2 more answers
ARE YOU GOOD AT GEOMETRY?? WILLING TO HELP SOMEONE OUT?? NEED EASY POINTS AND BRAINLIEST?? COME RIGHT THIS WAY ALL HELP IS APPRE
BlackZzzverrR [31]

Answer:

C: (-8,3) R:5

Step-by-step explanation:

The equation of a circle can be written as:

(x-h)^2+(y-k)^2=r^2

where (h,k) is the center, and r is the radius

We have the equation:

(x+8)^2+(y-3)^2=25

Center:

The center is (-8,3)

(x+8)^2--> (x-h)^2

Therefore the x coordinate of the center is -8

(y-3)^2-->(y-k)^2

Therefore the y coordinate of the center is 3

Radius

r^2=25

Take the square root of both sides

\sqrt{r^2}=\sqrt{25}

r=5

4 0
3 years ago
Read 2 more answers
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