Answer:
(-2, -3)
Step-by-step explanation:
If a segment having extreme ends as
and
is divided by a point (x, y) in the ratio of m:n,
x = 
y = 
Since, a line RT has extreme ends as R(-5, 3) and T(-1, -5) then a point S(x, y) which divides RT in the ratio of 3 : 1 will be,
x = 
= 
= -2
y = 
= 
= -3
Therefore, coordinates of the point S will be (-2, -3).
Each square unit is one unit. Each triangle is half a unit.
Shape 1 has 6 units and 4 half units.
6 + 4/2 =
6 + 2 =8
Shape 1 has 8 units.
Shape 2 is almost like shape 1 but it has an extra bit which would make it larger than shape 1.
So shape 2 is larger than shape 1.
Answer:
: The percentage of newborn infants who are exclusively breastfed at the time of hospital discharge.
Data Source: Rhode Island Department of Health, Center for Health and Data Analysis, Newborn Developmental Risk Screening Program Database and Maternal and Child Health Database.
Footnotes: The year indicated is the mid-year of a five-year period of data.
Step-by-step explanation:
Let x be the number of Standard Specials sold last Monday and y be the number of Deluxe specials sold last Monday.
The Standard special sells for $2, then x Standard Specials cost $2x.
The Deluxe special sells for $4.50, then y Deluxe specials cost $4.50y.
1. Last Monday, PB&P sold at least $200 worth of Standard and Deluxe peanut butter and pickle sandwich specials. This means that
2x+4.50y≥200.
2. When all related business expenses are included, the Standard special costs $0.50 to prepare, then x Standard Specials cost $0.50x.
When all related business expenses are included, the Deluxe special costs $1.25 to prepare, then y Deluxe specials cost $1.25y.
Expenses were no more than $100, then
0.50x+1.25y≤100.
3. At least 30 Standard special were sold, then x≥30.
4. Graph all these inequalities (see attached diagram). As you can see only point (60,70) doesn't belong to needed region.
Answer: all points except point (60,70)
Answer:
3964 in³
Step-by-step explanation:
volume of sphere: V = 4/3 πr³
v₁ = 4/3 x 3.14 x 7³ = 1436
volume of prism: v = Bh B = 15 x 18 = 270 h = 20
v₂ = 270 x 20 = 5400
v₂ - v₁ = 5400 - 1436 = 3964 in³