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stellarik [79]
1 year ago
14

(40pts) Mr. Green had 200 dollars and Mrs.Green had 180 dollars. After they each bought the same t-shirt, the ratio of the numbe

r of dollars that Mr. Green had remaining to number of dollars that Mrs. Green had remaining was 3:2. How much money was the t-shirt?
Mathematics
2 answers:
yanalaym [24]1 year ago
6 0

Answer:

The t-shirt cost $23.33.

Step-by-step explanation:

sergij07 [2.7K]1 year ago
5 0

Answer:

$140

Step-by-step explanation:

If x was the amount of money Mr. Green had remaining, and y was the amount of money Mrs. Green had remaining, then:

x / y = 3 / 2

And, since they spent the same amount of money:

200 - x = 180 - y

We can solve this system of equations through substitution.

x = 3/2 y

200 - 3/2 y = 180 - y

20 = 1/2 y

y = 40

So Mrs. Green had $40 remaining.  Since she started with $180, she must have spent $140.  So that was the cost of the shirt.  Let's check our answer by seeing how much Mr. Green had remaining and how it compares.

$200 - $140 = $60

$60 / $40 = 3 / 2

Yep, it checks out.

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There are 8 sophomores on the academic team. At the last competition, they each took the math test. Their scores were 82%, 92%,
Sav [38]

Answer:

79%

Step-by-step explanation:

To find the median, you need to arrange the numbers in ascending order. Than pick the middle number. If there are two middle numbers then you add them together and then divide by 2.

3 0
1 year ago
Carmen lives in Maine and pays 5% in sales tax. She just bought $70 in
galina1969 [7]

Answer:

The correct answer is option A.

Step-by-step explanation:

Let's start by analyzing the information we have.

We know that Carmen pays 5% tax on everything she buys, and has made a purchase of $ 70.

But they also tell us that there is $ 25 of that purchase that will not be charged with taxes.

Therefore, what will be charged with taxes will be:

70-25 = 45

Now we must know how much is 5% of 45 and that we can find out by multiplying 45 by 0,05:

45.0,05 = 2,25

Now that we know that the tax was 2.25, we just have to add it to the total purchase to find out how much Carmen paid:

2.25 + 70 = 72.25

Therefore, the total value of the purchase is 72.25.

8 0
2 years ago
Read 2 more answers
Let f(x)=−3x. The graph of f(x) ​is transformed into the graph of g(x) by a vertical stretch of 4 units and a translation of 4 u
deff fn [24]
<h2>Answer:</h2>

Ques 1)

                   g(x)=-12x+48

Ques 2)

                 g(x)=|3x|+4

<h2>Step-by-step explanation:</h2>

Ques 1)

We know that if a graph is stretched by a factor of a then the transformation if given by:

    f(x) → a f(x)

Also, we know that the translation of a function k units to the right or to the left is given by:

  f(x) →  f(x+k)

where if k>0 then the shift is k units to the left

and if k<0 then the shift is k units to the right.

Here the graph of f(x) ​is transformed into the graph of g(x) by a vertical stretch of 4 units and a translation of 4 units right.

This means that the function g(x) is given by:

g(x)=4f(x-4)\\\\i.e.\\\\g(x)=4(-3(x-4))\\\\i.e.\\\\g(x)=-12(x-4)\\\\i.e.\\\\g(x)=-12x+48

Ques 2)

We know that the transformation of the type:

  f(x) → f(x)+k

is a shift or translation of the function k units up or down depending on k.

If k>0 then the shift is k units up.

and if k<0 then the shift is k units down.

Here, The graph of the function f(x)=|3x| is translated 4 units up.

This means that the transformed function g(x) is given by:

                 g(x)=|3x|+4

4 0
1 year ago
How many terms are present in the expression (2 + 5 + 8)? A). 1. B). 2. C). 3. D). 15.
Arlecino [84]
In this specific problem each term is separated by an addition sign , so you have a total of 3 terms . The correct answer is " C."<span />
4 0
2 years ago
Read 2 more answers
Round 1627187 to the nearest ten?
Eduardwww [97]

Answer:

1627190

Step-by-step explanation:

(see attached for reference)

Given the number 1627187, we can see that the number in the tens place is the number 8.  

How we round this depends on the number immediately to the right of this number. (i.e the digit in the ones place)

Case 1: If the digit in the ones place is less less than 5, then the number in the tens place remains the same and replace all the digits to its right with zeros

Case 2: If the digit in the ones places is 5 or greater, then we increase the digit in the tens place and replace all the digits to its right with zeros.

In our case, the digit in the ones places is 7, this greater than 5, hence according to Case 2 above, we increase the digit in the tens place by one (from 8 to 9) and replace all the digits to its right by zeros giving us:

1627190

7 0
1 year ago
Read 2 more answers
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