Answer:
(6, - 4 )
Step-by-step explanation:
Given the 2 equations
- y = 3 → (1)
x - = 12 → (2)
Multiply (1) by 8 and (2) by 6 to clear the fractions
2x - 3y = 24 → (3)
10x - 3y = 72 → (4)
Rearrange (3) expressing - 3y in terms of x by subtracting 2x from both sides
- 3y = 24 - 2x
Substitute 3y = 24 - 2x into (4)
10x + 24 - 2x = 72, that is
8x + 24 = 72 ( subtract 24 from both sides )
8x = 48 ( divide both sides by 8 )
x = 6
Substitute x = 6 in either (3) or (4) and solve for y
Substituting in (3)
2(6) - 3y = 24
12 - 3y = 24 ( subtract 12 from both sides )
- 3y = 12 ( divide both sides by - 3 )
y = - 4
Solution is (6, - 4 )
Answer:
7 Zuchini, 14 Cucumbers and 22 Tomatoes plants.
Step-by-step explanation:
- Let the number of tomatoes=t
- Let the number of cucumber planted=c
- Let the number of zucchini planted=z
- Total Number of Plants=43
She planted twice as many cucumbers as zucchini, this is written as:
She also planted eight more tomatoes than cucumbers, this is written as:
In total, she planted 43 plants
Therefore:
z+(2z)+(2z+8)=43
5z+8=43
5z=43-8
5z=35
Divide both sides by 5
z=7
Number of Cucumbers, c=2z=2 X 7 =14
Number of Tomatoes, t=c+8=14+8=22
Therefore, she planted 7 Zuchini, 14 Cucumbers and 22 Tomatoes plants.
All it did was it counter clock wise rotated to make the shape look like it’s a mirror
Answer: 0.4987
Step-by-step explanation:
Given : The weights of newborn baby boys born at a local hospital are believed to have a normal distribution with
Mean :
Standard deviation :
Let X be the random variable that represents the weight of randomly selected student .
Z score :
For x = 5 lbs
For x = 11 lbs
By using the standard normal distribution table , the probability that the weight of the newborn baby boy will be between 5 lbs and 11 lbs :-
Hence, the probability that the weight of the newborn baby boy will be between 5 lbs and 11 lbs =0.4987
Step-by-step explanation:
In Kate's equation, 20 is the total number of tickets, 4 is number of tickets per ride, r is number of rides already ridden, and 4r is the number of tickets used
in Brian's equation, 5 is total number of rides Katie can ride and 5 - r is the number of rides left to ride