Answer:
y = - 5x + 7
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + b ( m is the slope and b the y- intercept )
Here m = - 5 and b = 7, thus
y = - 5x + 7 ← equation of line
Answer:
You will have 128 orange marbles
Step-by-step explanation:
Set this up as an equation
Variable x = number of orange marbles
3/8 = 48/x
Cross multiply
3 × x = 8 × 48
3x = 384
Divide both sides by 3 to isolate the variable
3x ÷ 3 = 384 ÷ 3
1x = 128
x = 128
128 orange marbles
Check work:
Substitute the variable x for the answer
3/8 = 48/128
Cross multiply
3 × 128 = 8 × 48
384 = 384
If the numbers equal, the answer is correct
Answer:
See below
Step-by-s.ep explanation:
6. Let the 3 integers be k-2, k and k+2.
So k(k+2)-k(k-2) = 28
k^2 + 2k - k^2 + 2k = 28
4k = 28
k = 7.
So the 3 integers are 5, 7 and 9.
Answer:
Length A: 5 ft
Width B: 4 ft
volume = 88 ft³
Step-by-step explanation:
Length A: 8 - 3 = 5 ft
Width B: 8 - 4 = 4 ft
<u>Volume</u>
The easiest way to calculate the volume is to split the trough into two rectangular prisms. (imagine drawing a horizontal line from the internal corner of A and 4ft to the left 8ft side).
Volume of a rectangular prism = width x length x height
Volume of rectangular prism 1: B x 8 x 2 = 4 x 8 x 2 = 64 ft³
Volume of rectangular prism 2: 3 x 4 x 2 = 24 ft³
Total volume = 64 + 24 = 88 ft³
