Answer:
The plywood that is closest to three over four-inch thick is thirteen over sixteen inches thick
Step-by-step explanation:
we have
3/4 in
Verify each value
case A) 13/16 in
we know that
3/4 in=12/16 in ----> multiply by (4/4)
Find the difference
13/16-12/16=1/16 in
case B) 11/32 in
we know that
3/4 in=24/32 in ----> multiply by (8/8)
Find the difference
24/32-11/32==13/32 in
case C) 1/2 in
we know that
1/2 in=2/4 in ----> multiply by (2/2)
Find the difference
3/4-2/4=1/4 in
case D) 3/8 in
we know that
3/4 in=6/8 in ----> multiply by (2/2)
Find the difference
6/8-3/8=3/8 in
<em>Compare the values of the difference and find the less value</em>
we have
case A) 1/16=2/32 in
case B) 13/32 in
case C) 1/4=8/32 in
case D) 3/8=12/32 in
The less value is case A) 2/32 in
therefore
The plywood that is closest to three over four-inch thick is thirteen over sixteen inches thick
<span>The number of dollars collected can be modelled by both a linear model and an exponential model.
To calculate the number of dollars to be calculated on the 6th day based on a linear model, we recall that the formula for the equation of a line is given by (y - y1) / (x - x1) = (y2 - y1) / (x2 - x1), where (x1, y1) = (1, 2) and (x2, y2) = (3, 8)
The equation of the line representing the model = (y - 2) / (x - 1) = (8 - 2) / (3 - 1) = 6 / 2 = 3
y - 2 = 3(x - 1) = 3x - 3
y = 3x - 3 + 2 = 3x - 1
Therefore, the amount of dollars to be collected on the 6th day based on the linear model is given by y = 3(6) - 1 = 18 - 1 = $17
To calculate the number of dollars to be calculated on the 6th day based on an exponential model, we recall that the formula for exponential growth is given by y = ar^(x-1), where y is the number of dollars collected and x represent each collection day and a is the amount collected on the first day = $2.
8 = 2r^(3 - 1) = 2r^2
r^2 = 8/2 = 4
r = sqrt(4) = 2
Therefore, the amount of dollars to be collected on the 6th day based on the exponential model is given by y = 2(2)^(5 - 1) = 2(2)^4 = 2(16) = $32</span>
Does it mean factor it out??
x (13-29)
Answer:
<u>a= -4</u>
Step-by-step explanation:
subtract 4a from both sides
add 15 to both sides
divide both sides by -3
(order of operations)
Answer:
The measure of segment AC is 36 units
Step-by-step explanation:
- The mid-point divides the segment into two equal parts in length
- B is the mid point of segment AC
- That means B divides segment AC into two equal parts in length
∴ AB = BC
∵ AC = 5x - 9
∵ AB = 2x
- The two parts AB and BC are equal in length
∴ BC = 2x
∵ AC = AB + BC
- Substitute the values of AB and BC in the expression of AC
∴ AC = 2x + 2x
∴ AC = 4x
∵ AC = 5x - 9
- Equate the two values of AC
∴ 5x - 9 = 4x
- Add 9 to both sides
∴ 5x = 4x + 9
- Subtract 4x from both sides
∴ x = 9
- Substitute the value of x in any expression of AC
∵ AC = 4x
∵ x = 9
∴ AC = 4(9) = 36
* The measure of segment AC is 36 units
