Answer:
x=7
y=18
The length of each of the two shorter sides is 14.
The length of each of the two longer sides is 19.
Step-by-step explanation:
2x+5 = x+12 and y-4 = x+5
Solve for x first
2x+5-5 = x+12-5 Subtract 5 from both sides to eliminate it.
2x-x = x-x+7 Subtract x from both sides to eliminate it.
x=7 Now, substitute 7 for x in y-4 = x+5 to solve for y.
y-4 = (7)+5
y-4 = 12
y-4+4 = 12+4 Add 4 to both sides to eliminate it.
y = 18
Finally, we can substitute 7 for x and 18 for y in all equations to see the lengths of each side.
(18)-4=14 The length of each of the two shorter sides is 14.
2(7)+5=19 The length of each of the two longer sides is 19.
Slope of a line passing though point (x1,y1) nd (x2,y2) is
(y2-y1)/(x2-x1)
we have
(1,-3) and (3,-5)
x1=1
y1=-3
x2=3
y2=-5
slope=(-5-(-3))/(3-1)=(-5+3)/(2)=-2/2=-1
slope=-1
Mari bought 6 packages of tomato seeds and each package contains 24 seeds then
Seeds = (6) * (24) = 144.
Mari has a total of 144 seeds.
Mari planted a pack of seeds and has 15 germinated seeds.
144-24-15 = 105
Mari then has 105 seeds left.
Answer
C At least 100 but no more than 120 seeds will sprout
Density is mass per unit volume.
For the given material that has a mass of 44 grams occupying a volume of 6 cm^3, we divide the mass by the volume, i.e.
density of material = 44 grams / 6 cm^3 = 44/6 grams/cm^3 = 7.3 g/cm^3 (to two significant figures)