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frozen
2 months ago
9

Shane and Abha earned a team badge that required their team to collect no less than 200020002000 cans for recycling. Abha collec

ted 178178178 more cans than Shane did. Write an inequality to determine the number of cans, SSS, that Shane could have collected. What is the solution set of the inequality?
Mathematics
2 answers:
lawyer [12.5K]2 months ago
8 0

Answer:

Shane must have gathered a minimum of 911 cans.

Step-by-step explanation:

Let S represent the number of cans Shane collected.

Since Abha collected 178 more cans, her total is S + 178.

The combined total should be at least 2000:

S + (S + 178) ≥ 2000

2S + 178 ≥ 2000

2S ≥ 2000 - 178

2S ≥ 1822

S ≥ 911

Therefore, Shane must have collected at least 911 cans.

Inessa [12.5K]2 months ago
6 0

Answer:

Shane needed to collect no fewer than 911 cans.

Step-by-step explanation:

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babunello [11817]

The likelihood that at least one trip occurs before Isabella's birth is 0.7627.

Step-by-step explanation:

In this scenario, Isabella has invented a time machine, but she lacks control over where she travels. Each use of the device holds a 0.25 probability of leading her to a time preceding her birth. Over the initial year of trials, she operates her machine 5 times. If we assume every journey has an equal chance of going back in time, we can calculate the odds that at least one of these trips occurs before she was born. Here's the calculation:

The probability of traveling to a time prior to her birth is 0.25.

The chance of not traveling back in time, given that the machine is used 5 times:

⇒ (1-0.25)(1-0.25)(1-0.25)(1-0.25)(1-0.25)

⇒ (1-0.25)^5

⇒ (0.75)^5

The probability that at least one trip goes before Isabella's birth is equal to 1 minus the probability of not traveling back to that period:

⇒ 1-(0.75)^5

⇒ 0.7627

Consequently, the chance that at least one trip travels before Isabella's birth is 0.7627.

4 0
1 month ago
Read 2 more answers
Toby goes on holiday to Geneva, Switzerland. In Geneva, Toby sees a watch costing 193.75 CHF (Swiss Francs). In Manchester, An i
zzz [12365]
1.55 CHF =?1 The price of the watch in Geneva is 1.55 CHF =?1 while 193 CHF =??1, which can be designated as x. Setting up a proportion, we cross-multiply, resulting in 1.55x = 193. Dividing by 1.55, we find x = 124.52 in x units. However, Manchester merchants are pricing it at 143 x units, so the difference is 143 - 124.52 = 18.48 units more expensive in Manchester.
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16 days ago
A cone is cut out of the center of a pyramid with a rectangular base. The rectangular base has side lengths of 15 and 10 units.
Svet_ta [12734]

Answer:

Volume of the shaded area = (600 - 36π) units³

Step-by-step explanation:

Volume of the shaded area = Volume of pyramid - Volume of cone

Volume of pyramid = ⅓*l*w*h

Where,

l = length of the base of the pyramid = 15 units

w = width of the base of the pyramid = 10 units

h = height of pyramid = 12 units

Substituting the values helps find the volume of the pyramid

Volume of pyramid = ⅓*15*10*12 = 5*10*12 = 600 units³

Volume of Cone = ⅓πr²h,

Where,

r = radius = ½ of diameter = ½ of 9 = 3 units

h = height = 12 units

Volume of Cone = ⅓*π*3²*12 = ⅓*π*9*12

= π*3*12 = 36π units³

Volume of shaded area = (600 - 36π) units³

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1 month ago
Ali's dog weighs 8 times as much as her cat. Together the two pets weigh 54 pounds. How much does Ali's dog weigh?
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48, since 9x equals 54. Dividing 54 by 9 results in 6. Multiplying 6 by 8 gives 48
~JZ
3 0
1 month ago
Kevin drove 95 miles to meet his friend Amanda at an
lawyer [12517]

1. 95 miles: 15 miles = 6.333 gallons for Kevin

2. 125 miles: 40 miles = 3.125 gallons for Amanda

3. 6.333 - 3.125 = 3.208 additional gallons for Kevin

8 0
25 days ago
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