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olganol [36]
3 years ago
11

Find two numbers if their difference is 16 and their ratio is 5:7.

Mathematics
2 answers:
lidiya [134]3 years ago
5 0

Answer:

The two numbers are 56 and 40.

Step-by-step explanation:

I don't really know how to explain this but I know that my answer is right.

Sorry.

myrzilka [38]3 years ago
3 0

Let us say that the numbers are x and y. The given clues are:

1. x – y = 16         (so x is the larger number)

2. y / x = 5 / 7

 

rewriting eqtn 2 in terms of y:

y = (5/7) x

 

combining 1 and 2:

x – (5/7) x = 16

(2/7) x = 16

x = 56

 

y = (5/7) x = 40

 

So the two numbers are 56 and 40.

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Fynjy0 [20]

Answer:

Part 1: Already solved.

Part 2: 1 quesadilla.

Step-by-step explanation:

Part 1: The data points given are 0, 0, 1/4, 1/2, 1/2, 1, 1, 1, 5/4, 2, and 2.

The data are already sorted from least to greatest.

Part 2: To get the interquartile range, we must know the first and third quartiles. To find those, we need to know the median of the data.

There are 11 data points, so we can cross out 5 numbers on the left and cross out 5 numbers on the right. That leaves a median of 1.

Since we know the median is 1, we can find the first quartile by finding the median of the following numbers: 0, 0, 1/4, 1/2, 1/2 (any number less than 1). There are five numbers, so cross out two numbers from the left and cross out two numbers from the right. We are left with a first quartile of 1/4.

Now that we have the first quartile, we need to find the third quartile. Since the median was actually the first "1" in the data set, the third quartile will be the median of the numbers to the right of that "1": 1, 1, 5/4, 2, 2. Cross out the leftmost two numbers, and cross out the rightmost two numbers. We are left with a third quartile of 5/4.

Now that we have both the third and first quartiles, we can find the interquartile range! The IQR is calculated by finding the third quartile minus the first quartile. 5/4 - 1/4 = 4/4 = 1.

So, your interquartile range is 1 quesadilla.

Hope this helps!

5 0
3 years ago
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6 0
3 years ago
Jocelyn and her children went into a bakery and she bought $9 worth of cookies and brownies. Each cookie costs $0.50 and each br
Yuliya22 [10]

Jace bought 4 cookies and 2 brownies from the bakery.

Let x represent the number of cookies and y represent the number of brownies.

Since he bought $9 worth of cookies and brownies. Each cookie costs $0.75 and each brownie costs $3. hence:

0.75x + 3y = 9      (1)

Also, he bought twice as many cookies as brownies, hence:

x = 2y

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Solving equation 1 and 2 simultaneously gives x = 4, y = 2

Hence Jace bought 4 cookies and 2 brownies from the bakery.

6 0
3 years ago
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Sliva [168]
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Use the formula y=mx+b when trying to do things like this.
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7 0
3 years ago
Find the quotient. 5/6 divided by 1/6
Montano1993 [528]

Answer:

5

6

÷  

1

6

=  

5

6

×  

6

1

=  

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=  

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6

=  

30 ÷ 6

6 ÷ 6

=  5

the awnser would be 5

Step-by-step explanation:

6 0
2 years ago
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