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9966 [12]
3 years ago
9

2. You are making necklaces for your friends. You have 72 blue beads and 42 red beads. Each friend will receive an identical nec

klace, and all beads must be used
Mathematics
1 answer:
hoa [83]3 years ago
4 0
To find out the number of necklaces that can be made from 72 and 42 beads, think of the Greatest Common Factor of both numbers

Factors of 72
1 × 72
2 × 36 
3 × 24
4 × 18
6 × 12
8 × 9

Factors of 42
1 × 42
2 × 21 
3 × 14
6 × 7

The Greatest Common Factor is 6, so there are 6 necklaces can be made with equal number of beads
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ludmilkaskok [199]

I hope it will help u.......

7 0
3 years ago
CAN SOMEONE PLEASE
pishuonlain [190]

Answer: The graph is shown below

The solution to the system is (x,y) = (2,3)

=============================================================

Explanation:

To graph y = \frac{5}{2}x-2, we need two points. Generating any (x,y) point involves picking a random x value to find its paired y value. For instance, if you plugged in x = 0, you should get to y = -2 which is the y intercept. Then trying something like x = 2 will lead to y = 3. This line goes through (0,-2) and (2,3). This line is shown in red below.

The blue line is horizontal and goes through 3 on the y axis. Every point on this horizontal line has the same y coordinate of 3. The x value doesn't matter, so it's not part of the equation y = 3.

The intersection of the red and blue line is the solution to the system. That intersection occurs at (x,y) = (2,3). This means x = 2 and y = 3 pair up together to make both original equations true.

Since this system has at least one solution, we consider it a consistent system.

5 0
3 years ago
A savings account increases from $200 to $210 what is the percent increase of the savings in the account.
Illusion [34]

Answer:

5%

Step-by-step explanation:

10/200 × 100 = 5

hope this helps...

7 0
3 years ago
Convert standard form to slope<br><br> 6x+5y=-15
siniylev [52]

Answer:

Step-by-step explanation:

1. Isolate Y by subtracting 6x from both sides.

2. Divide everything by 5, since 5 is the coefficient of Y

Final equation:

Y = -\frac{6}{5} x -3

Hope this helps!

4 0
3 years ago
A boat on a river travels downstream between two points, 90 mi apart, in 1 h. The return trip against the current takes 2 1 2 h.
docker41 [41]

Answer:

A)63miles per hour.

B)27 miles per hour

Step-by-step explanation:

HERE IS THE COMPLETE QUESTION

boat on a river travels downstream between two points, 90 mi apart, in 1 h. The return trip against the current takes 2 1 2 h. What is the boat's speed (in still water)??b) How fast does the current in the river flow?

Let the speed of boat in still water = V(boat)

speed of current=V(current)

To calculate speed of boat downstream, we add speed of boat in still water and speed of current. This can be expressed as

[V(boat) +V(current)]

It was stated that it takes 1hour for the

boat to travels between two points of 90 mi apart downstream.

To calculate speed of boat against current, we will substact speed of current from speed of boat in still water. This can be expressed as

[V(boat) - V(current)]

and it was stated that it takes 2 1/2 for return trip against the Current

But we know but Speed= distance/time

Then if we input the stated values we have

V(boat) + V(current)]= 90/1 ---------eqn(1)

V(boat) - V(current) = 90/2.5----------eqn(2)

Adding the equations we have

V(boat) + V(current) + [V(boat) - V(current)]= 90/2.5 + 90/1

V(boat) + V(current) + V(boat) - V(current)]=90+36

2V(boat)= 126

V(boat)=63miles per hour.

Hence, Therefore, the speed of boat in still water is 63 miles per hour.

?b) How fast does the current in the river flow?

the speed of the current in the river, we can be calculated if we input V(boat)=63miles per hour. Into eqn(1)

V(boat) + V(current)]= 90/1

63+V(current)=90

V(current)= 27 miles per hour

Hence,Therefore, the speed of current is 27 miles per hour.

7 0
3 years ago
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