3 green, and 2 red. (a) In how many ways can the books be arranged on a shelf? (b) If books of the same color are to be grouped
together, how many arrangements are possible? (c) In how many distinguishable ways can the books be arranged if books of the same color are identical but need not be grouped together? (d) In how many ways can you select 3 books, one of each color, if the order in which the books are selected does not matter? (e) In how many ways can you select 3 books, one of each color, if the order in which the books are selected
1 answer:
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Answer:
The amount they charged to wash a car is <u>$6</u> and vacuum a car is <u>$2</u>.
Step-by-step explanation:
Given:
Trisha and Byron are washing and vacuuming cars to raise money for a class trip.
Trisha raised $38 washington 5 cars and vacuuming 4 cars.
Byron raises $28 by washing 4 cars and vacuuming 2 cars.
Now, to find the amount they charged to wash a car and vacuum a car.
Let the amount charged for washing a car be
And the amount charged for vacuuming a car be
So, the total amount Trisha raised:
.......(1)
And, the total amount Byron raised:
Now, to get the amount they charged to wash a car and vacuum a car we use elimination method:
<em>Dividing both sides by 3 we get:</em>
<u>Amount charged to wash a car = $6.</u>
Now, putting the value of in equation (1) we get:
<em>Subtracting both sides by 30 we get:</em>
<em>Dividing both sides by 4 we get:</em>
<u>Amount charged to vacuum a car = $2.</u>
Therefore, the amount they charged to wash a car is $6 and vacuum a car is $2.
Hence, the values of x, y and z are as follows:
x=10
y=5
z=2
Further explanation:
When two triangles are congruent, then their respective sides will also be congruent or equal
As it is given that
ΔABC≅ΔDFE
Which means that
EF = BC
ED=AC
FD=AB
Now,
Hence, the values of x, y and z are as follows:
x=10
y=5
z=2
Keywords: Similar triangles, Congruent Triangles
Learn more about congruent triangles at:
#LearnwithBrainly