Let x = the number of boxes they need to sell to get to 180
(1 1/8) * x + 75*(1 1/8) = 180 There's a number of ways you could solve this. I think the easiest way (or the easiest to explain) is to start by converting 1 1/8 to a decimal
1/8 = 0.125
1 1/8 = 1 + 0.125
1 1/8 = 1.125 Put this result in the equation.
1.125x + 75 * 1.125 = 180
1.125x + 84.375 = 180 Subtract 84.375 on both sides.
1.125x = 180 - 84.375
1.125x = 96.625 Divide by 1.125
x = 96.625 / 1.125
x = 85
They must sell 85 more boxes to raise 180 dollars.
Answer:
Option (D)
Step-by-step explanation:
Area of a rectangle = Length × width
Area of large rectangle = (3x - 1)(3x + 7) square units
= (9x² + 21x - 3x - 7)
= 9x² + 18x - 7
Area of small rectangle = (2x + 5)x
= (2x² + 5x) square units
Area of the shaded region = Area of large rectangle - Area of small rectangle
= (9x²+ 18x - 7) - (2x² + 5x)
= (9x² - 2x²) + (18x - 5x) - 7
= (7x² + 13x - 7) square units
Therefore, Option (D) will be the correct option.
Answer:
#1: -2 ≤ y ≤ ∞
#2: -2 ≤ x ≤ 2
#3: -4 ≤ y ≤ 3
#4: -5 ≤ y ≤ ∞
#5: 0 ≤ x ≤ ∞
Step-by-step explanation:
To do these, you must understand what range and domain are:
Range: all the values that y can be
Domain: all the values that x can be
#1: It's asking for range, so look at the posible y values. The smallest y value is -2, and the largest is actually infinity. So, the range is: -2 ≤ y ≤ ∞.
#2: It's asking for domain, so look at the possible x values. The smallest is -2 and the largest is 2, so: -2 ≤ x ≤ 2.
#3: Again, it's asking for range, so look at the possible y values. The smallest is -4, and the largest is 3, so: -4 ≤ y ≤ 3.
#4: It's asking for range. The smallest value is -5, and the largest goes to infinity (from the arrows), so: -5 ≤ y ≤ ∞.
#5: It's asking for domain. The smallest x value is 0, and it goes to infinity. So: 0 ≤ x ≤ ∞.
Answer:
its SAS so yes they're congruent
Step-by-step explanation:
Answer:
105 cm
Step-by-step explanation:
Table + cat - mouse = 120 ...(1)
table + mouse - cat = 90 ...(2)
(1)+(2): 2*Table = 210
Table = 105
