Answer:
$320
Step-by-step explanation:
she needs to take 320 dollars with her for the trip because she needs about 290 dollars for her expenses then she wants 30 dollars left over so she needs to take about 3320 dollars and none of that includes any tax.
hope this helps :)
Answer:
First one: 114
Second one: 64
Step-by-step explanation:
For the first one, you can break apart the shapes to a square and a rectangle
The square is 7 x 7 (12 - 5 = 7)
The rectangle is 13 x 5
The square is 49
The rectangle is 65
Add them together
The first one is 114
For the second one you can break it apart to a triangle and a rectangle
The rectangle is 4 x 12
The triangle is 0.5 * 8 * 4 [8 is 12 - 4 (base)]
The rectangle is 48
The triangle is 16
Add them together
48 + 16 = 64
The second one is 64
Answer:
2.67 inches.
Step-by-step explanation:
Assuming that we represent the size of the squares with the letter y, such that after the squares are being cut from each corner, the rectangular length of the box that is formed can now be ( 23 - 2y), the width to be (13 - 2y) and the height be (x).
The formula for a rectangular box = L × B × W
= (23 -2y)(13-2y) (y)
= (299 - 46y - 26y + 4y²)y
= 299y - 72y² + 4y³
Now for the maximum volume:
dV/dy = 0
This implies that:
299y - 72y² + 4y³ = 299 - 144y + 12y² = 0
By using the quadratic formula; we have :
where;
a = 12; b = -144 and c = 299
Since the width is 13 inches., it can't be possible for the size of the square to be cut to be 9.33
Thus, the size of the square to be cut out from each corner to obtain the maximum volume is 2.67 inches.
Answer:
1. $1,122
2. $485.25
3. $440
4. $2,047.25
Step-by-step explanation:
1. 22 feet * 17 feet = 374 square feet * $3 per square foot = $1,122
2. 17 feet * 10 feet * 4 walls = 680 square feet. 680 feet - (7ft*3ft for the door) - (2*2ft*3ft for the windows) = 647 square feet * $0.75 per square foot = $485.25
3. 374 square feet/ $88 per gallon = 4.25 gallons which rounds up to 5 gallons, and 5 gallons at a cost of $88 per gallon = $440
4. $1,122 + $485.25 + $440 = $2,047.25
Answer:
y = - 2x - 13
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - 2x - 5 ← is in slope- intercept form
with m = - 2, thus
y = - 2x + c ← is the partial equation of the line
To find c substitute (- 4, - 5) into the partial equation
- 5 = 8 + c ⇒ c = - 5 - 8 = - 13
y = - 2x - 13 ← equation of line
