The shopkeeper spends 2x + 21 dollars on electricity
The amount the shopkeeper spends on electricity less than $100 is:
x < 39.5
<h3>What is a linear inequality?</h3>
Linear inequality explains the range of values that a variable represents.
Total amount spent by the shopkeeper = 7x + 19
Amount spent on rent = 5x - 2
Total amount spent = Amount spent on rent + Amount spent on electricity
(7x + 19) = (5x - 2 ) + Amount spent on electricity
Amount spent on electricity = (7x + 19) - (5x - 2)
Amount spent on electricity = 7x - 5x + 19 + 2
Amount spent on electricity = 2x + 21
For which value(s) of x is the amount the shopkeeper spends on electricity less than $100?
Amount spent on electricity < 100
2x + 21 < 100
2x < 100 - 21
2x < 79
x < 79/2
x < 39.5
Learn more on linear inequalities here: brainly.com/question/11613554
Answer:
4
Step-by-step explanation:
Answer:
1/6 of the third workers time
Step-by-step explanation:
one of the people is budgeted for 1 /2 of his time to the project and a second person for 1/3 of her time
Let x be the third workers time
Let the completed job time = 1
Time taken for 3 workers to complete the job = 1
now we solve for x
LCD = 2*3 = 6
We multiply the whole equation by 6
3 + 2 +6x = 6
5 + 6x = 6
subtract 5 on both sides
6x = 1
divide both sides by 6
Answer:
The proportion of individuals score at most 74 points on this test is 70%.
Step-by-step explanation:
The complete question is:
Suppose that the scores on a reading ability test are normally distributed with a mean of 70 and a standard deviation of 8. What proportion of individuals score at most 74 points on this test? Round your answer to at least four decimal places.
Solution:
Let <em>X</em> represent the scores on a reading ability test.
It is provided that 
.
Compute the probability that an individuals score is at most 74 points on this test as follows:
Thus, the proportion of individuals score at most 74 points on this test is 70%.
Well, first consider how many digits there are. You have 1, 2, 3, 4, 5, 6, 7, 8, 9, and 0, depending on how you use it, that are all digits.
If you count 0 as a digit other than a place holder (0000, 0001, etc.), you would end up with ten thousand (10,000) numbers with four digits, starting with 0000, and ending with 9999. If you count 0 as nothing other than a place holder (1000, 1001, etc.), you would have nine thousand (9,000) numbers with four digits, starting with 1000.
So, depending on how you view 0, you can make up to 10,000 different numbers that contain four digits.
