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Andrei [34K]
3 years ago
12

A marching band wants to line up for their performance. When they line up in threes there are 2 left over. When they line up in

fours there are 3 left over. When they line up in fives there are 4 left over. When they line up in sixes there are 5 left over.
Mathematics
1 answer:
Naya [18.7K]3 years ago
6 0

Answer: They are 59 members in the band

Step-by-step explanation:

given data:

when lined up in 3 = 2 left.

when lined up in 4 = 3 left

when they are lined up in 5 = 4 left

when they are lined up in 6 = 5 left

Solution:

From the given data, we know the band number ends with 9, so we start with 9,29,49,59. We test till we arrive at our desired answer.

59/3 = 19 R 2.

59/4 = 14 R 3.

59/5 = 11 R 4.

59/6 = 9 R 5.

They are 59 members in the band.

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Softa [21]

y = -x + 5

Slope of this line = - 1.

Slope of the line that is perpendicular is negative reciprocal.

For example if slope= a/b, then slope of the perpendicular line = -b/a.


For our line, the slope is going to be -(-1)=1.


y=mx +b

m=1

y=x+b


We need to find b. We are going to use point (5, -1).

y = x +b

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b= -6


So,

y= x - 6


Answer is A.



5 0
3 years ago
A store bought a mountain bike at a cost of $51.48 and marked it up 115%. Raymond bought it and paid 6.5% sales tax. What was hi
Step2247 [10]

Answer:

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Step-by-step explanation:

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3 0
3 years ago
What is the length of the line AB<br><br> a. 8<br> b. 8.3<br> c. 6.6<br> 6. 9.7
lilavasa [31]
We know that
in the right triangle ACD
Applying the Pythagoras theorem
AC²=AD²+CD²------> AD²=AC²-CD²-----> AD²=5²-4²---> AD²=9----> AD=3

let
∅=angle CAD
tan ∅=4/3 

in the right triangle CDB
the angle DCB is equal to ∅
tan ∅=DB/CD-------> DB=CD*tan ∅------> DB=4*(4/3)----> DB=16/3

AB=AD+DB-----> 3+16/3----> AB=25/3----> AB=8.33

the answer is
<span>b. 8.3</span>
4 0
3 years ago
Read 2 more answers
Use the Distributive Property and simplify the expression. 4 + 2(3x – 1) + 9  
spayn [35]
First expand the brackets by multiply everything in them by 2
2(3x-1)=
6x-2
then add the 4 and the 9 to -2 and you get
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7 0
4 years ago
Could i get an explanation on how to do this?
irina [24]

Answer:

EH is 25

Step-by-step explanation:

7+7+11=25

EH is 25

8 0
3 years ago
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