A concert charges $30 admission and $15 per shirt. Alyssa paid $75 at the concert for her admission and shirts. Write and solve
2 answers:
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Thulani goes to both the library and the market for 5 more times during the year.
Step-by-step explanation:
Thulani goes to the library every 7 days. He goes to the market every 4 days.
We have to calculate the Least Common Multiple (LCM) to analyze the next common day on which he will go to both places.
The factors of 7 are: 1 x 7
The factors of 4 are: 2 x 2
Therefore, the LCM would be = 1 x 7 x 2 x 2
LCM = 28
LCM indicates that Thulani will go to both places on every 28th day.
To calculate the number of times (n) he will go to both places on same day. We can use the formula mentioned below:'
Here frequency represents the LCM = 28.
The number of days are:
August: 30 (we are excluding 1st August)
September: 30
October: 31
November: 30
December: 31
Total = 152
By putting the values in formula, we get
n = 5.42
As, the number of times can only be a whole number. Therefore, Thulani goes to both the library and the market for 5 more times during the year.
Learn more:
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Keywords: LCM, same day
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Answer:
The height of the tree=8.42 m
Step-by-step explanation:
We are given that
Height of Joshua, h=1.45 m
Length of tree's shadow, L=31.65 m
Distance between tree and Joshua=26.2 m
We have to find the height of the tree.
BC=26.2 m
BD=31.65m
CD=BD-BC
CD=31.65-26.2=5.45 m
EC=1.45 m
All right triangles are similar .When two triangles are similar then the ratio of their corresponding sides are equal.
Substitute the values
Hence, the height of the tree=8.42 m
