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daser333 [38]
3 years ago
7

A certain solution of salt water is 10% salt and weighs 50 pounds. more salt must be added to produce a solution that is 25% sal

t. if x represents the pounds of salt to be added, which of the following expressions represents the number of pounds of salt in the 25% solution?
a) 0.25 (x+50)
b) 0.25x
c) 1.25 (x+50)
Mathematics
1 answer:
Semenov [28]3 years ago
8 0

Answer

7.5 pounds

Step-by-step explanation:

Since adding x grams of salt will bring th percentage of the salt to 25

Hence. 10% of the 50 gram gives. 5 gram initial salt before it is added.

5+ x/ 50 * 100= 25/

5+x /50 = 0.25

5+x = 12.5

X= 12.5- 5

X= 7.5pounds

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Natasha ran 3.1 kilometers. Tonya ran 4 meters more than half as far as Natasha. How many meters did Tonya run?
Levart [38]
The answer would be idk
So it 5.6
4 0
3 years ago
two trains leaves stations 320miles apart at the same time and travel toward eachother. One train travels at 110 miles per hour
I am Lyosha [343]

x/110 = (320-x)/90

<span> Cross multiply</span>

90x = 35200-110x

200x=35200

X = 35200/200 = 176 (distance traveled by train going 110 mph

176/110 = 1.6 hours = 1 hour and 36 minutes

 

Check: 110*1.6 = 176, 90*1.6 = 144

176+144 = 320

it will take 1.6 hours ( 1 hour 36 minutes) for the trains to meet
4 0
3 years ago
The weekly salaries (in dollars) for
kompoz [17]

Answer:

a) Median stays the same

b) Mean is decreased by $9

Step-by-step explanation:

The median is the number or the average of the two numbers that is in the middle of a sorted distribution of numbers,

Here the median number will be the 5th number counting from left or right from the sorted list of numbers. Therefor is is 891.

When 1027 is changed to 946 it will fall between 938 and 1002. So updated sorted list of numbers will now look like,

679, 715, 799, 844, 891, 917, 938, 946, 1002

Here also median will be the 5th number which will be equal to 891.

Therefore, , median will not change.

Mean is the value we get by taking the total value of the salaries and divide it by the number of employees.

In the initial case,

Mean =\frac{679+715+799+844+891+917+938+1002+1027}{9} =868

When the salary is changed from $1027 to $946,

Mean=\frac{679+715+799+844+891+917+938+1002+946}{9} =859

Therefor we can see that Mean has decreased by $9.


8 0
3 years ago
Roll one fair, six-sided die, numbered 1 through 6. Let A be the event you will roll an even number. Let B be the event you will
11111nata11111 [884]

Answer:

a) not independent

b) not mutually exclusive

Step-by-step explanation:

Given:

- A 6 sided die is rolled

- Event A is rolling an even number

- Event B is rolling a prime number

Find

- (a) Are A and B independent events?

- (b) Are A and B mutually exclusive events?

Solution:

- We will find the probability of each event:

                       set(Even number: A) = {2, 4, 6} = 3 outcomes

                       set(Prime number: B) = {2 , 3, 5} = 3 outcomes

- The probabilities are:

                        P(A) = 3/6 = 0.5

                        P(B) = 3/6 = 0.5

- For Event A and B to be independent then the following condition must match:

                        P ( A & B ) = P(A)*P(B)

                        set (A&B) = {2} = 1 outcome

                        P(A&B) = 1/6

                        1 / 6 = 0.5*0.5

                        1/6 = 0.25         ...... NOT INDEPENDENT

- For Event A and B to be mutually exclusive then the following condition must match:

                        P(A&B) = 0

                        P(A&B) = 1/6

Hence, we can say the events are NOT MUTUALLY EXCLUSIVE

7 0
3 years ago
Please show all work and explanation.<br><img src="https://tex.z-dn.net/?f=6%5Cfrac%7B1%7D%7B4%7D-4%5Cfrac%7B3%7D%7B5%7D" id="Te
Olin [163]

Steps:

6 1/4 - 4 3/15 can also be written as 25/4 - 23/5

The LCD of 4 and 5 is 20.

That gives us 125/20 - 92/20.

Now, just subtract the numerators (leave the denominators the same).

That brings us to 33/20, which can be simplified to 1 13/20

Final Answer:

1\frac{13}{20}

--------------------------------------------------------------------------------------------------------------

<u><em>*Please mark brainliest if that helped!*</em></u>

8 0
3 years ago
Read 2 more answers
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