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CaHeK987 [17]
4 years ago
12

A toll bridge charges $1.00 for passenger cars and $2.25 for other vehicles. Suppose that during daytime hours, 60% of all vehic

les are passenger cars. If 30 vehicles cross the bridge during a particular daytime period, what is the resulting expected toll revenue? [Hint: Let X = the number of passenger cars; then the toll revenue
Mathematics
1 answer:
Rama09 [41]4 years ago
3 0

Answer:

Total revenue by the toll bridge = $45

Step-by-step explanation:

Total vehicles crosses the bridge = 30

Number of passenger cars = 60 % of all vehicles = \frac{60}{100}\times {30} = 18

Other vehicles = 30 - 18 = 12

Charges for one passenger cars = $1.00

Thus total Revenue by the  passenger cars = 18 × 1 = $18

Charges for other vehicles = $2.25

Total revenue by other vehicles = 2.25 × 12 = $27

Thus the total revenue from the toll bridge = 18 + 27 = $45

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A computer repair technician charges $35 for each job plus $21 per hour of labor and 110% of the cost of parts. The total charge
Novay_Z [31]

Answer:

The cost of parts was $65.

Step-by-step explanation:

Let the cost of parts = x

35  + 21(3) + 1.10x = 169.50

98 + 1.10x = 169.50

71.50 = 1.10x

71.50/1.10 = 65

7 0
3 years ago
1/X=5/25=<br> What’s the answer?
snow_lady [41]

Answer:

1/5

Step-by-step explanation:

5 0
4 years ago
In ABC, the measure of sides c is 3.9 cm If DEF is a dilation ABC with a scale factor of 2.5 what is the measure of side f
White raven [17]

Answer:

F = 9.75cm

Step-by-step explanation:

Given

In ABC;

C = 3.9cm

Dilation = 2.5

Required

Determine side F

In the given question;

DEF is a dilation of ABC

Comparing both triangles side by side,

Side F is a direct dilation of side C and this is calculated as follows

F = Dilation * C

F = 2.5 * 3.9cm

F = 9.75cm

3 0
3 years ago
8) Factor each sum or difference of cubes completely.<br> a. 8x3 + 27
ASHA 777 [7]

Answer:

\large\boxed{(2x+3)(4x^2-6x+9)}

Step-by-step explanation:

8=2^3\\\\8x^3=2^3x^3=(2x)^3\\\\27=3^3\\\\8x^3+27=(2x)^3+3^3\qquad\text{use}\ a^3+b^3=(a+b)(a^2-ab+b^2)\\\\=(2x+3)\bigg((2x)^2-(2x)(3)+3^2\bigg)=(2x+3)(4x^2-6x+9)

4 0
3 years ago
Quick please , find the volume of the shape
Blizzard [7]

Answer:

7068.58 Cubic inch

Step-by-step explanation:

V=\frac{2}{3} \pi r^{3} =\frac{2}{3} \pi 15^{3}=7068.58 in^{3}

3 0
3 years ago
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