Answer:
A- 
Step-by-step explanation:
1.6* 3.2
add the exponents so 10 to the -4
Answer:
A. x=3, y= -6
Step-by-step explanation:
x - 2y = 15
2x + 4y= -18
<em>Solving for x</em>
x-2y=15
<em>Subtract x from both sides</em>
-2y= -x+15
<em>Multiply both sides by -1</em>
2y=x-15
<em>Multiply both sides by 2</em>
4y=2x-30
2x+4y= -18
<em>Subtract 2x from both sides</em>
4y= -2x-18
<u>Combine equations:</u>
-2x-18=2x-30
<em>Add 2x to both sides</em>
-18=4x-30
<em>Add 30 to both sides</em>
12=4x
4x=12
<em>Divide both sides by 4</em>
x=3
Solving for y
x-2y=15
<em>Add 2y to both sides</em>
x=2y+15
<em>Multiply both sides by 2</em>
2x=4y+30
2x + 4y= -18
<em>Subtract 4y from both sides</em>
2x= -4y-18
<u>Combine equations:</u>
-4y-18=4y+30
<em>Add 4y to both sides</em>
-18=8y+30
<em>Subtract 30 from both sides</em>
8y= -48
<em>Divide both sides by 8</em>
y= -6
The long piece is 4 times the length of the short piece.
Short piece = 1 time
Long piece = 4 times
--------------------------------
Full rope = 5 times
5 times = 70 inches
Divide each side by 5 : 1 time = 14 inches
<em>Short piece</em> = 1 time = <em>14 inches</em>
<em>Long piece</em> = 4 times = 4 x 14inches = <em>56 inches</em>
<u>Check:</u>
Ratio of long to short = 56inches / 14inches = <u>4</u>
Sum of both pieces = (56 + 14) = <u>70 inches</u>
yay !
Answer:
no triangles
Step-by-step explanation:
The angles of a triangle must add to 180°
The numbers given add to 190
Answer:
Julia found 5 coins
Step-by-step explanation:
lets take the # of coins julia found as "x"
alice found6
davi found 5
lucas found 6
and carter found 8
remember how to calculate mean( add all numbers and divide by the# of numbers)
so
6+5+6+8+x/5=6 (since there are "5" terms)
so
25+x/5=6
treat this like a linear equation so multiply by 5 on both sides
25+x/5(5)=6(5)
25+x=30
subtract "25 on both sides"
25-25+x=30-25
x=5
hope this helps
