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tester [92]
3 years ago
5

Whats x-3+75x compared to or equal to x-75+3x

Mathematics
1 answer:
lbvjy [14]3 years ago
7 0

Answer:

x=-1

Step-by-step explanation:

-3+75x<-75+3x

75x-3<-75+3x

75x-3<3x-7575x−3<3x−75

75x-3-3x<-75

72x-3<-75

72x<-75+3

72x<-72

x=-1

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The teacher wants to make a fruit punch for the class party. She needs 30 quarts of juice. If there are 15 kids bringing in juic
SpyIntel [72]

Answer:

4 pints

Step-by-step explanation:

30 quarts ÷ 15 kids = 2 quarts per kid

there are 2 pints in a quart so..

2 quarts per kid x 2 pints per quarter = 4 pints

8 0
4 years ago
Please help! will give brainliest! ​
Lunna [17]

Answer:

i got 1/12 for 5, 12 for 6, and 1/12 for 7. 8 is 3/2, 9 is 4/5, 10 is 4/9, 11 is 2 1/2.

5 0
3 years ago
Given a mean of 150 and a standard deviation of 25:
pishuonlain [190]
We have to define an interval about the mean that contains 75% of the values. This means half of the values will lie above the mean and half of the values lie below the mean.

So, 37.5% of the values will lie above the mean and 37.5% of the values lie below the mean.

In a Z-table, mean is located at the center of the data. So the position of the mean is at 50% of the data. So the position of point 37.5% above the mean will be located at 50 + 37.5 = 87.5% of the overall data

Similarly position of the point 37.5% below the mean will be located at 
50 - 37.5% = 12.5% of the overall data

From the z table, we can find the z value for both these points. 12.5% converted to z score is -1.15 and 87.5% converted to z score is 1.15.

Using these z scores, we can find the values which contain 75% of the values about the mean.

z score of -1.15 means 1.15 standard deviations below the mean. So this value comes out to be:

150 - 1.15(25) = 121.25

z score of 1.15 means 1.15 standard deviations above the mean. So this value comes out to be:

150 + 1.15(25) = 178.75

So, the interval from 121.25 to 178.75 contains the 75% of the data values. 
4 0
3 years ago
Rewrite each equation without absolute value for the given conditions.
Masja [62]

Answer: 10

Step-by-step explanation:

If -5 < x < 5, then |x-5|=5-x and |x+5|=x+5.

So, the expression is equal to 10.

8 0
2 years ago
A liquid oral concentrate of morphine sulfate contains 2.4 g of morphine sulfate in a 120-mL bottle. Calculate the concentration
MrMuchimi

Answer:

20 mg/ml.

Step-by-step explanation:

We have been given that a liquid oral concentrate of morphine sulfate contains 2.4 g of morphine sulfate in a 120-mL bottle.

\text{Concentration of morphine sulfate on g/mL basis}=\frac{\text{2.4 g}}{\text{120 ml}}

To convert the concentration of morphine sulfate on a mg/mL basis, we need to convert 2.4 grams to milligrams.

1 gram equals 1000 milligrams.

\text{Concentration of morphine sulfate on mg/mL basis}=\frac{\text{2.4 g}}{\text{120 ml}}\times\frac{\text{1,000 mg}}{\text{1 g}}

\text{Concentration of morphine sulfate on mg/mL basis}=\frac{2.4\times\text{1,000 mg}}{\text{120 ml}}

\text{Concentration of morphine sulfate on mg/mL basis}=\frac{2400\text{ mg}}{\text{120 ml}}

\text{Concentration of morphine sulfate on mg/mL basis}=\frac{20\text{ mg}}{\text{ml}}

Therefore, the concentration of morphine sulfate would be 20 mg per ml.

5 0
3 years ago
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