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Nat2105 [25]
3 years ago
11

An electrician cuts a 136 ft long piece of cable. One piece is 16 feet less than 3 times the length of the other piece. Find the

length of each piece.
Mathematics
2 answers:
Romashka [77]3 years ago
8 0
X + y = 136
x = 3y - 16

3y - 16 + y = 136
4y - 16 = 136
4y = 136 + 16
4y = 152
y = 152/4
y = 38

x = 3y - 16
x = 3(38) - 16
x = 114 - 16
x = 98

the larger piece (x) = 98 ft and the smaller piece (y) = 38 ft
Kamila [148]3 years ago
5 0

Length of the cable = 136 ft

Let the length of one piece be = x

Let the length of other piece be = y

The two equations formed are :

x+y=136    .... (1)

y=3x-16     ..... (2)

Solving the equation (1) by putting y=3x-16

x+3x-16=136

4x=136+16

4x=152

x=38 feet

y=3x-16

y=3(38)-16

y=114-16

y=98 feet feet

Hence, lengths of both the pieces are 38 feet and 98 feet.

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Ellen is excited to learn how to ski. She went to White Peaks Mountain, rented a pair of skis for $45, and took 4 hours of group
Vikentia [17]

Answer:

x=30h

Step-by-step explanation:

First, you need to figure out how much she actually paid for lessons, so you need to subtract 45 from 165.

165-45=120

Now you know she paid 120 dollars in total for lessons.

You know she took four hours of lessons, so you divide 120 by 4.

120/4=30

It takes $30 an hour for lessons.

Now you can form an equation.

Since you know it takes $30 per hour of lessons, it will be 30h.

x is the full amount of money paid

You don't need to add 165-45 to your equation because not everyone will need to rent skis when they come to White Peaks.

Hope this helps!

6 0
3 years ago
Need help with this question
goldfiish [28.3K]

Answer:

x = 12

Step-by-step explanation:

Complementary angles add up to have a sum of 90 degrees. We can create an equation and solve for x.

3x + 6x - 18 = 90

~Simplify

9x - 18 = 90

~Add 18 to both sides

9x = 108

~Divide 9 to both sides

x = 12

Best of Luck!

4 0
3 years ago
Explain how you can use reasoning to compare two fractions with the same denominator
Talja [164]
When two fractions have the same denominator, you can compare which fraction is greater by just comparing the numerators.
For example, if you have 2/5 and 3/5, the denominators are the same. So you can just look at the numerators. 3 is greater than 5, so 3/5 is greater than 2/5.

The reasoning to this is that the two numbers are divided by the same number (5), so you can compare the original numbers (numerators).
7 0
4 years ago
Find the slope of the line in the graph below
Andru [333]
Answer =-3 or -3/1

You can either do rise/run
Or you can find two points on the line and do (y2-y1)/(x2-x1)

Two points on the line are (-1,2) and (-3,-4)
X1=-1 Y1=2
X2=-3 Y2=-4

(y2-y1)/(x2-x1) = (-4-2)/(-3-(-1)) =(-6)/(-3+1)
=-6/-2 = -3

So slope =-3/1 or -3 (same thing)
7 0
3 years ago
mountain bike tire completes 20 revolutions and travels 136 feet. Rounded to the nearest inch, what is the diameter of the bike’
Viefleur [7K]

Answer: 26in

s=r*theta

r=s/theta

d=r*2

136ft=r*40pi

r=136/40pi=1.082ft

d=1.082*2=2.1645ft*(12in/1ft)=25.97in

Rounded to nearest in is 26in diameter

7 0
3 years ago
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