The ratio of the prices of Emma's phone to Sophie's phone is 7:8. If Sophie's phone costs $640, how much should the prices of their phones decrease in order to have a ratio of 9:11 ?
Answers
Let cost of Emma's phone = x
Given that cost of Sophie's phone = 640
Then ratio of their phones cost will be x:640 or x/640
Given that ratio of their phones cost is 7:8 or 7/8
So both ratios will be equal.
x=560
So the new ratio of the cost of their phones will be 560:640
Now we have to find about how much should the prices of their phones decrease in order to have a ratio of 9:11.
So let that decreased amount is k then we will get equation :
11(560-k)=9(640-k)
6160-11k=5760-9k
6160-5760=11k-9k
400=2k
200=k
Hence final answer is prices of their phones should decrease by 200 in order to have a ratio of 9:11.
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A work crew of 3 people requires 3 weeks and 2 days to do a certain job. How long would it take a work crew of 4 people to do the same job if each person of both crews works at the same rate as each of the others. [Note: each week contains six work days]Thanks for the help!
Answers
Answer:
***********o o**************
<----------(-4)--------(-2)--------(0)--------(-2)----------(4)-------------->
x>4 or x<-4
Step-by-step explanation:
You are looking for numbers that give you a distance, x, greater than 4 from 0. That wouldn't be anything between -4 and 4 because these would all give you a distance less than 4 from 0. So the answer would be to shade everything greater than 4 while also shading everything less than -4.
Here is a number line <-----|-----|-----|-----|-----|-----|-----|-----|-->
-6 -4 -2 0 2 4 6 8
Let's think about this more which of these numbers on this number line would satisfy |x|>4?
Numbers inside the numbers -4 and 4.
Or the numbers on the outside.
Let's try the inside numbers:
-2,02
|-2|>4
2>4 is false which means -2 doesn't satisfy |x|>4
|0|>4
0>4 is false which means 0 doesn't satisfy |x|>4
|2|>4
2>4 is false which means 2 doesn't satisfy |x|>4
We could also try -4 and 4... but these will both give you a distance equal to 4 from 0. And we are looking for greater than.
|-4|>4
4>4 is false which mean -4 doesn't satisfy |x|>4
|4|>4
4>4 is false which means 4 doesn't satisfy |x|>4
Now let's try the numbers on the outside:
-6,6,8
|-6|>4
6>4 is true so -6 does satisfy |x|>4
|6|>4
6>4 is true so 6 does satisfy |x|>4
|8|>4
8>4 is true so 8 does satisfy |x|>4
So what I'm trying to do is convince you more that the only numbers that would satisfy |x|>4 are numbers outside the interval from -4 to 4.
So x>4 or x<-4.
On a number line the solution would look like this:
***********o o**************
<----------(-4)--------(-2)--------(0)--------(-2)----------(4)-------------->
We have holes at -4 and 4 to mean we do not include those numbers. We would have if the inequality read . The line underneath this inequality means to include or equals. We do not want to include; we did not have the equal sign. The only difference between the two solutions would be to fill the holes if you
.
***********o o**************
<----------(-4)--------(-2)--------(0)--------(-2)----------(4)-------------->
Answers
The missing dataset is 81 at the 4th position.
We have the following data set -
82, 87, 77, 70, 80, 88
whose Median is - 81
We have to find out the missing data in this dataset.
What is the formula to find the Median of a set of odd number of elements (say N) ?
If a set consist of odd number of elements, then the median of that set of numbers is the is the element at the position .
Let the missing element be x. Now, the data set becomes -
82, 87, 77, 70, 80, 88, x
To total number of elements in the dataset = 7, which is a odd number.
The element at the position for odd number of elements equals to Median which is equal to 81.
Hence, the missing dataset is 81 at the position - = 4th position.
To solve more questions on median, visit the link below -
#SPJ5
Answers
76x = 1900
x = 25
25%
Answers
Answers
900+0+0
basically
like if it was
9,234
then it would be
9000+200+30+4
Answers
Answer:
y = ½x + 10
Step-by-step explanation:
Perpendicular lines have OPPOSITE MULTIPLICATIVE INVERSE RateofChanges[Slopes], so you need to have a slope of ½, like in the work shown below:
9 = ½[-2] + b
-1
10 = b
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