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Elza [17]
4 years ago
14

Helga and Dora were solving the following problem together. A boat left Kyuquot and headed west at 15.5 km/h. A second boat left

Kyuquot half an hour later and headed west at 18 km/h. For how many hours did the first boat travel before the second boat overtook it? Both girls used t to represent the time taken by the first boat. However, they disagreed on the equation to model the situation. Helga’s Equation Dora’s Equation 15.5t = 18(t + 0.5) 15.5t = 18(t - 0.5) a) Explain what the expression on each side of each equation represents. b) Which equation is correct? Explain. c) What is the solution to the problem?
Mathematics
1 answer:
Romashka-Z-Leto [24]4 years ago
3 0

Answer:

15.5t=18(t-0.5) is the correct answer

Step-by-step explanation:

if the first boat travels t time then the second traveld t-0.5 time to take over

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how many numbers between 650 and 780 leave remainders of 4 and 6 when divided by 7 and 11 respectively? pls help lol im desperat
Tanya [424]

Answer:

18 numbers between 650 and 780 leave remainders of 4 when divided by 7.

12 numbers between 650 and 780 leave remainders of 6 when divided by 11.

Step-by-step explanation:

1. Number 655 is the smallest number that leaves the remainder of 4 when divided by 7. Number 774 is the greatest number that leaves the remainder of 4 when divided by 7. So,

a_1=655\\ \\a_n=774\\ \\d=7\\ \\a_n=a_1+(n-1)d\Rightarrow 774=655+7(n-1)\\ \\7(n-1)=774-655\\ \\7(n-1)=119\\ \\n-1=17\\ \\n=17+1=18

2. Number 655 is the smallest number that leaves the remainder of 6 when divided by 11. Number 776 is the greatest number that leaves the remainder of 6 when divided by 11. So,

a_1=655\\ \\a_n=776\\ \\d=11\\ \\a_n=a_1+(n-1)d\Rightarrow 776=655+11(n-1)\\ \\11(n-1)=776-655\\ \\11(n-1)=121\\ \\n-1=11\\ \\n=11+1=12

7 0
4 years ago
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gtnhenbr [62]
Round to the nearest percent
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3 years ago
Valerie has 10 cds in her music case seven of the cds are pop musoc cds what is this amount written in as a decimal
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A used car dealer sells SUVs and cars. Of all the vehicles, 85% are cars. Of all the vehicles, 32% are red cars. What is the pro
oksian1 [2.3K]

Answer:

37.6%

Step-by-step explanation:

P(A|B) = P(A and B) / P(B)

P(red | car) = P(red and car) / P(car)

P(red | car) = 0.32 / 0.85

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8 0
3 years ago
A gull can fly at a speed of 22 miles per hour about how many feet per hour can the gull fly?
azamat
There are 5280 feet in a mi

22 mi*5280 ft per mile= 116,160

Final answer: 166,160 feet in an hour

7 0
4 years ago
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