Susie earns $9 per hour at her part-time job. On Tuesday, she spent $5 of her pay that day on lunch. If she took home $49 that day, how many hours did she work? Which mathematical sentence matches the problem?5h + 9 = 49
9h + 5 = 49
9(h - 5) = 49
9h - 5 = 49

Answers

Answer 1

Answer: 9h - 5 = 49 is the corret answer

Your variable represents the number of hours she worked, not the number of times she spent 5 dollars.

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Write the set {14,21,28,35,42,98} in the set-builder form

Answers

To solve this problem you must apply the proccedure shown below:
1. You have the following set {14,21,28,35,42...98}.
2. As you can see, the numbers are multiples of 7 and they are greater than 7 and less than 100.
3. Therefore, you can write the set, which we will call Z, in the set-builder form as following:
Z={x:x ∈ N, x is multiple of 7 greater than 7 and less than 100}
The answer is: Z={x:x ∈ N, x is multiple of 7 greater than 7 and less than 100}

Final answer:

The set {14, 21, 28, 35, 42, 98} can be written in the set-builder form as {x | x is a multiple of 7, 14 ≤ x ≤ 98} signifying all multiples of 7 between 14 and 98.

Explanation:

The given set is {14, 21, 28, 35, 42, 98}. To write this set in set-builder notation, we need to find a common property that all the elements of the set share. An initial examination of the set shows that all numbers are multiples of 7. Hence, we can say that the set represents all multiples of 7. Here, we can see that 98 is the maximum number in the set. Thus, this allows us to put an upper boundary on the set.

Therefore, the given set can be written in set-builder form as: {x | x is a multiple of 7, 14 ≤ x ≤ 98}. This reads as 'the set of all x such that x is a multiple of 7 and x is between 14 and 98, inclusive'.

Learn more about Set-Builder Notation here:

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What is the unit rate of 40 meters in 16 seconds?

Answers

40 meters in 60 seconds could be expressed as

$(40 meters)/(16 seconds)$

So, in order to get the unit rate, we divide the numerator and denominator by 16.

$(40)/(16) \n (40/16)/(16/16) \n (2.5)/(1) \n (2.5 meters)/(1 second)$

So, the unit rate is 2.5 meters per second (or every one second)

The unit rate us 2.5 meters each second to do this you could find the unit rate

the pumpkin patch is open every day if it sells 2,750 pounds of.pumpkins each day about how many pounds does it sell in 7 days

Answers

if you multiply 2,750 with 7 it will get you the amount
which is 19250 pounds

Multiply 2750 by 7 to get 19250. Thus, the pumpkin patch will sell 19,250 pounds of pumpkins in 7 days.

What do I put in the blank spots?

Answers

$f(x)=2x+b \to \ line \ one \n\n\n \boxed{5}=2* \boxed{(-1)} +b \to line \ two \n\n\n \boxed{5}=\boxed{-2}+b\to line \ three \n\n\n \boxed{5+2}=b \to \ line \ four \n\n \boxed{7}=b$