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brilliants [131]
2 years ago
8

Find the two numbers whose sum is54 and whose difference is 4

Mathematics
2 answers:
Andrew [12]2 years ago
7 0
Sum of 54: X + Y = 54
Difference is 4: X - Y = 4

Solve for one variable first.

X = 4 + y (rewritten from second equation)

Now plug into the first equation for x

4 + y + y = 54
4 + 2y = 54 (subtract 4)
2y = 50 (divide by 2)
Y = 25

Now use Y to solve for X

X - 25 = 4 (add 25 on each side)
X = 29
harkovskaia [24]2 years ago
4 0

Answer: I can not see the picture

Step-by-step explanation:

can you show it?

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Which of the following transformations preserves orientation, but does NOT preserve congruence?
AlexFokin [52]
Reflection does not preserve orientation.
Dilation (scaling), rotation and translation (shift) do preserve it.
7 0
3 years ago
To reduce 16 ounces of a 25% solution of antiseptic to a 10% solution, how much distilled water should a nurse add?
yan [13]

Answer:

24 ounces

Step-by-step explanation:

Here's a more intuitive approach to use here.

You know that your initial solution has a percent concentration, presumably volume by volume, of  

25

%

. This means that any volume of this solution contains  

1

part solute and  

3

parts solvent.

The target solution must have a concentration of  

10

%

, which means that any volume of this solution will contain  

1

part of solute and  

9

parts solvent.

Your starting solution has a volume of  

16

ounces, or  

4

parts, each with a volume of  

4

ounces.

In order to get to a solution that has a total of  

10

parts, you must add  

6

parts of solvent to the initial solution. Since we know that

1 part  

=

4 ounces

it follows that you must add

6

parts

⋅

4 ounces

1

part solvent

=

24 ounces

of distilled water, which is your solvent, to the initial solution.

The target solution will contain  

1

part solute and  

9

parts distilled water for a total of  

10

parts of solution, and hence have a percent concentration of  

10

%

.

7 0
3 years ago
The selling price for houses in a neighborhood in West Richland, WA have an approximately normal distribution with a mean sellin
Liula [17]

The probability that the average selling price of the 35 homes will be within $2000 of the true mean is 0.5753

First, we need to find the z-score and this is expressed according to the formula;

z=\dfrac{x-\mu}{\sigma}

x is the sample space

\mu is the mean value

\sigma is the standard deviation

Given the following parameters

Mean = $275,000

Standard deviation = $10,500

If the true mean is $273,000, then;

z=\dfrac{273,000-275000}{10,500} \\z = \frac{-2000}{10500}\\z= -0.1905

If the true mean is $277,000

z=\dfrac{277,000-275000}{10,500} \\z = \frac{2000}{10500}\\z= 0.1905

This means that the z-score is between -0.1095 and 0.1095

Pr( -0.1095 ≤ z ≤ 0.1095)

According to the z table, the probability that the average selling price of the 35 homes will be within $2000 of the true mean is 0.5753

Learn more here: brainly.com/question/17436641

3 0
3 years ago
Write a number that has a zero in the tens place. Draw a quick picture for your number
natali 33 [55]
400 hope that helped
4 0
3 years ago
Read 2 more answers
What would a proper answer be to this question
Musya8 [376]
I cant help you there m8 the I'm not able to see the problem I'm sorry.
5 0
3 years ago
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