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amm1812
3 years ago
14

A zoo is running a promotion in which every 30th person through the gate receives a free tote bag , and every 80th person receiv

es a free pass. Which person through the gate will be the first to receive both a tote bag and a pass to the zoo?
Mathematics
1 answer:
Fittoniya [83]3 years ago
8 0

Answer:

240

Step-by-step explanation:

Find the least common multiple of 30 and 80

30, 60, 90, 120, 150, 180, 210, 240, 270, 300

80, 160, 240, 320, 400

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An oil refinery is located on the north bank of a straight river that is 2 km wide. A pipeline is to be constructed from the ref
Deffense [45]
To minimize the cost, we take the straight distance from the refinery to the other side of the river as 2 km. Also, the 7 km will be the distance that has to be traveled by the pipeline in land. The total cost, C, is therefore,
               total cost =   (2 km)($800,000/km) + (7 km)($400,000 /km)
                    total cost = $4,400,000
Thus, the total cost of the pipeline is approximately $4,400,000.00. 
 
4 0
3 years ago
Write the equation of a linear function for which f=(-4)=0 and f=(0)=-2
densk [106]

Answer:

y = -0.5x - 2

Step-by-step explanation:

equation: f(x) = mx + b

f(-4) : -4m + b = 0  ...(1)

f(0):   0m + b = -2            b = -2   ... plug in (1)

-4m - 2 = 0

m = - 1/2 = - 0.5

linear equation: y = -0.5x - 2

6 0
3 years ago
Solve. 54 ÷ (4 – 1)3
pshichka [43]
54 divide 3*3=54 is the answer
3 0
3 years ago
Read 2 more answers
Find the value of X and the missing angle
GuDViN [60]

Answer:

x = 10

missing angle = 83°

Step-by-step explanation:

These are supplementary angles meaning they have a sum of 180°.

8x + 3 + 97 = 180

8x + 100 = 180

8x + 100 - 100 = 180 - 100

8x = 80

x = 10

Substitute the value for the variable.

8(10) + 3

80 + 3

83

6 0
3 years ago
Read 2 more answers
Question<br> Write the following function in terms of its cofunction.<br> tan(78)
Nataliya [291]

Answer:

trigonometric function whose value for the complement of an angle is equal to the value of a given trigonometric function of the angle itself the sine is the cofunction of the cosine.

5 0
2 years ago
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