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attashe74 [19]
3 years ago
13

A computer online service charges one hourly rate for regular use but a higher hourly rate for designated "premium" areas. One c

ustomer was charged $38 after spending 2 h in premium areas and 9 regular hours. Another customer spent 3 h in premium areas and 6 regular hours and was charged $34.50. What is the service charge per hour for regular and premium services?
Mathematics
1 answer:
N76 [4]3 years ago
8 0

Answer: the service charge per hour for premium services is $5.5

the service charge per hour for regular services is $3

Step-by-step explanation:

Let x represent the service charge per hour for premium services.

Let y represent the service charge per hour for regular services.

One customer was charged $38 after spending 2 h in premium areas and 9 regular hours. It means that

2x + 9y = 38- - - - - - - - - - - 1

Another customer spent 3 h in premium areas and 6 regular hours and was charged $34.50. It means that

3x + 6y = 34.5- - - - - - - - - - -2

We would eliminate x by multiplying equation 1 by 3 and equation 2 by 2. It becomes

6x + 27y = 114

6x + 12y = 69

Subtracting, it becomes

15y = 45

y = 45/15

y = 3

Substituting y = 3 into equation 1, it becomes

2x + 9 × 3 = 38

2x + 27 = 38

2x = 38 - 27 = 11

x = 11/2 = 5.5

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Solve the math problem
zalisa [80]

Answer:

\frac{4w {}^{8} }{9m {}^{4} }

Step-by-step explanation:

separate with like terms

\frac{4}{9} , \:  \frac{w {}^{9} }{w}  \: and \: \:  \frac{m {}^{5} }{m {}^{9} }

the first fraction can be left alone as it can't be simplified any further

the second fraction can be written as w⁹ ÷ w¹ , when the bases are the same and division is involved subtract the powers: 9 - 1 = 8, so it's simplified to w⁸

the third fraction can be written as m⁵ ÷ m⁹, subtract the powers: 5 - 9 = -4, so it's simplified to m⁻⁴

{m}^{ - 4}  =  \frac{1}{m {}^{4} }

putting it together:

\frac{4w {}^{8} }{9m {}^{4} }

4 0
2 years ago
Find the limit of the function by using direct substitution. limit as x approaches four of quantity x squared plus three x minus
Yuliya22 [10]
\lim_{x \to 4} f(x)=x^2+3x-1
just subsitute
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f(4)=16+12-1
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it approaches 27 as x approaches 4
5 0
3 years ago
Read 2 more answers
Find the area of this figure.
umka2103 [35]
Rectangle

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Semicircle

r = 1.7 ft

Shaded region = area of rectangle + area of semicircle

= l x b + πr²/2

= 5.5 x 3.4 + 3.14 x 1.7 x 1.7 x 1/2

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3 years ago
3 lines are shown. A line with points C, A, F intersects a line with points E, A, B at point A. A line extends from point A to p
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Answer:

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m < CAB = 119 degrees

Given :

The question states that m < CAE = m<FAB = 61 degrees and m<DAF = 90 degrees

Solution:

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2. m<BAC + m<EAC = 180 degrees (sum of linear pair)

3. m<CAB = 180 degrees - m<EAC

4. Equation 1: m<CAB = m<EAF = 119 degrees

5. m<EAF = m<EAD + m< DAF

6. m<EAD = m<EAF - m<DAF

7. m<EAD = 119 degrees-90 degrees = 29 degrees

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In quadrilateral abcd below,
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Answer: where is the quadrilateral

Step-by-step explanation:

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