Answer: 10 weeks
Step-by-step explanation:
Nilda's money = 250 +15x being x the number of weeks that have passed
Lona's money= 200+20x
If they have the same amount, then
250+15x=200+20x
250-200=(20-15)x
50=5x
50/5=x
10=x
Answer:
The distance between (-9, 8) and (-3, -1) will be:
units
Step-by-step explanation:
Given the points
Finding the distance between (-9, 8) and (-3, -1)
units
Therefore, the distance between (-9, 8) and (-3, -1) will be:
units
Answer:
1) take the first part of the equation and work it by multiplying (x+2) by 3
3(x+2)+x
3x +6+x
2)put the answer you got into the question you were given
3x + 6+x =2x +16
3)group the x variables and the non x variables
3x +x -2x =16 -6
4) Now work the equation you have
3x+x-2x=16-6
4x-2x=16-6
2x=16-6
2x=10
5) you divide both sides by the x variable
2x=10
2x/2 =10/2
x=5
therefore x is 5
Who says V1=V2?
if we simplify we get
(2/3)pir₁³=12pir₂²
for V1 to equal V2
a.
solve for r₁ to find r₁ as a function of r₂
(2/3)pir₁³=12pir₂²
times 3/2 both sides and divide by pi
r₁³=18r₂²
cube root both sides
r₁=∛(18r₂²)
if solve for r₂
(2/3)pir₁³=12pir₂²
divide by 12pi both sides
(1/18)r₁³=r₂²
squer root both sides
√((1/18)r₁³)=r₂
double radius of pond which is r1
√((1/18)r₁³)=r₂
r₁ turns to 2r₁ to double radius
√((1/18)(2r₁)³)=r₂double
√(8(1/18)(r₁)³)=r₂double
(√8)(√((1/18)(r₁)³))=r₂double
√((1/18)r₁³)=r₂ so
(√8)(r₂)=r₂double
(2√2)(r₂)=r₂double
the radius of the tank is multipled by 2√2
That is the slope
rise/run
we see we have (2/5,1/2)
rise is y, run is x
(x,y)
((1/2)/(2/5)=(1/2)(2/5)=2/10=1/5
unit rate is y=(1/5)x
