32 = 2x2x2x2x2
99 = 11x3x3
100 = 5x5x2x2
400 = 2x2x2x2x5x5
39 = 3x13
35 = 5x7
80 = 2x2x2x2x5
42 = 2x3x7
5 = 1x5
78 = 2x3x13
Answer:
The equation of line with given points is Y = - 
X + 1
Step-by-step explanation:
Given as :
The points are ( 16 , - 5 ) And ( -40 , 16 )
The line equation in points form :
Y - y1 = m ( X - x1)
Where m is the slope of line
Now , m = 
Or, m = 
Or, m = 
SO, Y + 5 = m ( X - 16)
Put the value of slope
∴ Y + 5 = 
( X - 16)
Or, ( - 56) × ( Y + 5 ) = 21 X - ( 21 × 16 )
Or, - 56 Y - 280 = 21 X - 336
Or, - 280 + 336 = 21 X + 56 Y
Or, 56 = 21 X + 56 Y
∴ Y = - 
X + 1
Or, Y = - X + 1
Hence The equation of line with given points is Y = - X + 1 Answer
Answer:
The jumbo box can hold 17,550 toothpicks
Step-by-step explanation:
The volume of the box can be calculated multiplying all of its three dimensions.
If each dimension of the box is tripled, the new volume will be 3*3*3 times higher, so it will be 27 times higher the old volume.
If in the old volume there are 650 toothpicks, the new volume can have 27 times more, so the number of toothpicks the new box can hold is:
27 * 650 = 17550
The jumbo box can hold 17,550 toothpicks.
Answer:
thanks for the points
Step-by-step explanation:
Answer:
The relationship between x, Danielle's total sales for the month, and y, her monthly income is as shown;
y=0.06 x+500
Step-by-step explanation:
Step 1: Express the monthly income
The monthly income can be expressed as follows;
y=F+(R×x)
where;
y=her monthly income
F=fixed income per month
R=commission rate
x=total number of houses she sells
In our case;
Monthly income=y
F=$500 a month
R=6%=6/100=0.06
total number of houses she sell=x
replacing;
y=500+(6% of x)
y=500+(0.06×x)
y=500+0.06 x
The relationship between x, Danielle's total sales for the month, and y, her monthly income is as shown;
y=0.06 x+500
