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STatiana [176]
3 years ago
8

Cab 1 charges $1 per kilometer. Cab 2 charges $0.50 per kilometer and a $4 base charge. Solve for the value of k(kilometers ) th

at the 2 cab companies would cost the same.
Mathematics
1 answer:
Scorpion4ik [409]3 years ago
3 0

Answer:

k=8

Step-by-step explanation:

Cab 1 : 1/km

Cab2: 0.5 /km with Base charge =4

x=0.5 x+4

x-0.5x=4

0.5x=4

4/0.5=x

x=8

Assume x=k

k=8

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2 years ago
2x+4=16 what is the solution?
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X=6 because 2*6=12 and 12+4=16

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A movie theater earned $3,600 in sold-out ticket sales for the premiere of a new movie. VIP tickets cost $20 per person and regu
julia-pushkina [17]

There are 300 seats in the theater.

Step-by-step explanation:

Given,

Cost of one VIP ticket = $20

Cost of one regular ticket = $8

Worth of sold out tickets = $3600

Let,

x represent the number of VIP tickets sold

y represent the number of regular tickets sold

20x+8y=3600     Eqn 1

y = 2x                   Eqn 2

Putting value of y from Eqn 2 in Eqn 1

20x+8(2x)=3600\\20x+16x=3600\\36x=3600

Dividing both sides by 36

\frac{36x}{36}=\frac{3600}{36}\\x=100

Putting x=100 in Eqn 2

y=2(100)\\y=200

Total = x+y = 100+200 = 300

There are 300 seats in the theater.

Keywords: linear equation, substitution method

Learn more about substitution method at:

  • brainly.com/question/10633485
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6 0
3 years ago
Order from least to greatest
Orlov [11]
Answer: 
In order from least to greatest: 0.25, 3 ⅜, 3 <span>⅖</span>; 

Or, write as: 0.25 < 3 ⅜ < 3 ⅖ .
___________________________________
Explanation:

0.25 =  ¼ l  (less than "1"); the lowest of the three given values. 

The remaining two values have the same whole number of 3, and a fraction:
   3 <span>⅖ ;</span> and 3 ⅜.

The least common multiples among the denominators of the fraction values is 40.   ⅖ = ?/40 ; 5*? =40? 5* 8 = 40, so 2*8 = 16;
Thus, ⅖ = 16/40, and 3 ⅖ = 3 16/40.  3/8 = ?/40? 8*5 =40; so 3*5 = 15 ; thus ⅜ = 15/40; and
and 3 ⅜ = 3 15/40.
3 15/40 is less than than 3 16/40;  
as such; 3 ⅜ is less than 3 ⅖.

So, in order from least to greatest: 0.25, 3 ⅜, 3 ⅖; 
Or, write as: 0.25 < 3 ⅜ < 3 ⅖ .

7 0
3 years ago
Question 9 of 10
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