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White raven [17]
3 years ago
10

What's the answer to 1/4 a + 5/4 a - 1/2 a = 100

Mathematics
1 answer:
sweet [91]3 years ago
5 0

Answer:4a/4=100

Step-by-step explanation:

1.Combine multiplied terms into a single fraction  

2.Multiply by 1  

3.Combine multiplied terms into a single fraction  

4.Combine multiplied terms into a single fraction  

5.Find common denominator  

6.Combine fractions with common denominator  

7.Multiply the numbers  

8.Combine like terms    

9.Cancel terms that are in both the numerator and denominator

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What is between 3/8 in a number line
storchak [24]
Okay I hope this is what you mean. so if you are saying what is between the numbers 3 and 8 we can make an inequality which will cover all the small decimals between the numbers.

There are 2 different equalities that I'm not sure which one you want.

so the first one would be
3 \leqslant x \leqslant 8
x is just the variable I chose for this. Now this inequality means that both 3 and 8 are solutions to the problem. x represent all the little numbers in between so to test your answers just plugin the number you're testing in for x. Since 3 is the lowest number it will have a less than or equal to (in this case) sign and 8 is the greatest so that's why the open/greater side is facing the 8. It reads 3 is less than or equal to x and x is less than or equal to 8.

If you meant all number in between 3 and 8 not include either of those numbers than the inequality would be
3 < x < 8
In this case all the numbers between 3 and 8 are solutions but 3 and 8 will not be solutions. the line under the symbol means it includes the number which come before or after it. The inequality reads 3 is less than x which is less than 8. You can also plugin in an answer to test it in place of x.


If you have any questions or it turns out you meant somthing else please tell me and I'll be happy to help, sorry if this isn't what you meant in the question.
3 0
3 years ago
Using graph paper, determine the line described by the given point and slope. Click to show the correct graph below. (0, -2) and
BaLLatris [955]

Answer:

y = -(5/2)x -2

Explanation:

The general formula for a straight line is y – mx + b.

The image below shows the graph of the line.

Step 1. <em>Calculate the slope</em>.

Slope = m = Δy/Δx = (y₂-y₁)/(x₂-x₁)

x₁ = 0; y₁ = -2

x₂ = -2; y₂ = 3     Calculate m

m = [3-(-2)]/(-2-0)

m = (3+2)/(-2)

m = 5/(-2)

m = -5/2

Step 2. <em>Calculate the y-intercept </em>

When x = 0, y = 2.

The y-intercept (b) is at y = -2

Step 3. <em>Write the equation </em>for the graph

y = mx + b

y = -(5/2)x - 2

3 0
3 years ago
Read 2 more answers
A set of middle school student heights are normally distributed with a mean of 150 centimeters and a standard deviation of 20 ce
julsineya [31]

Answer:

The proportion of students whose height are lower than Darnell's height is 71.57%

Step-by-step explanation:

The complete question is:

A set of middle school student heights are normally distributed with a mean of 150 centimeters and a standard deviation of 20 centimeters. Darnel is a middle school student with a height of 161.4cm.

What proportion of proportion of students height are lower than Darnell's height.

Answer:

We first calculate the z-score corresponding to Darnell's height using:

Z=\frac{X-\mu}{\sigma}

We substitute x=161.4 , \mu=150, and \sigma=20 to get:

Z=\frac{161.4-150}{20} \\Z=0.57

From the normal distribution table, we read 0.5 under 7.

The corresponding area is 0.7157

Therefore the proportion of students whose height are lower than Darnell's height is 71.57%

8 0
3 years ago
What is the range of the function in this table?
marin [14]

Hello from MrBillDoesMath!

Answer:

Choice B:  {1,2,4}

Discussion:

The range of the function is the set of "y" values shown in the table, which is  1,4,4,2. As sets do not contain duplicate elements, the range is {1,2,4). This is Choice B

Thank you,

MrB

8 0
3 years ago
Read 2 more answers
In 52 ​days, a ferry transports 42,016 people. The ferry makes 4 trips per day. If the ferry transports the same number of peopl
e-lub [12.9K]

Answer: 600

Step-by-step explanation: sorry if I’m wrong

8 0
3 years ago
Read 2 more answers
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