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uranmaximum [27]
2 years ago
6

You are going on vacation. You have $105 to take with you. You expect to spend $15 each day. You want to have $30 remaining at t

he end of the vacation. Write an explicit formula to represent this scenario. For how many days can you spend $15 a day?
Mathematics
1 answer:
JulijaS [17]2 years ago
6 0

Answer:

105-15x=30

5 days

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Emerson earns money from walking dogs and answering surveys. He earns $5 a week for each dog he walks and $0.10 for each survey
maria [59]
Part A: X=(35-(100*0.10))/5  35= 5X+(100*0.10)
Where X is the number of dogs he walked.

Part B: To solve the equation just simplify it by using inverse operations. It should give you 5 dogs walked. The algebraic property justifying this is inverse operations.

Part C: Emerson walked 5 dogs last week.

8 0
3 years ago
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Find the value of x and y so that both proportions will be correct:
andrew11 [14]

The values of x and y are 0.2 and 0.4 respectively.

<em><u>Explanation</u></em>

The given proportions are.....

x: 1\frac{2}{3}=y: 3\frac{1}{3} and y:1.5=0.2:0.75

From the second proportion, we will get....

y:1.5=0.2:0.75\\ \\ \frac{y}{1.5}=\frac{0.2}{0.75} \\ \\ 0.75y=0.2*1.5\\ \\ 0.75y=0.3\\ \\ y=\frac{0.3}{0.75}=0.4

Now, we will plug this y=0.4 into the first proportion. So we will get....

x: 1\frac{2}{3}=y: 3\frac{1}{3}\\ \\ x: \frac{5}{3}=0.4:\frac{10}{3} \\ \\ \frac{x}{\frac{5}{3}}= \frac{0.4}{\frac{10}{3}}\\ \\ \frac{3x}{5}=\frac{1.2}{10}\\ \\ 30x=6\\ \\ x= \frac{6}{30}=0.2

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6 0
3 years ago
Four times the largest of three consecutive odd integers is 36 more than the sum of the other
erica [24]

If you know how to solve word problems involving the sum of consecutive even integers, you should be able to easily solve word problems that involve the sum of consecutive odd integers. The key is to have a good grasp of what odd integers are and how consecutive odd integers can be represented.

Odd Integers

If you recall, an even integer is always 22 times a number. Thus, the general form of an even number is n=2kn=2k, where kk is an integer.

So what does it mean when we say that an integer is odd? Well, it means that it’s one less or one more than an even number. In other words, odd integers are one unit less or one unit more of an even number.

Therefore, the general form of an odd integer can be expressed as nn is n=2k-1n=2k−1 or n=2k+1n=2k+1, where kk is an integer.

Observe that if you’re given an even integer, that even integer is always in between two odd integers. For instance, the even integer 44 is between 33 and 55.

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