You can write the two equations x = 4y - 7 and x + y = 93; substitute the value of x into the other equation
(4y - 7) + y = 93; combine like terms
5y - 7 = 93; add 7 to both sides
5y = 100; divide both sides by 5
y = 20; substitute this value into the other equation
x + 20 = 93
x = 73
So the numbers are 20 and 73
Answer:
x = 41 ft
Step-by-step explanation:
35(35+23) = 29(29+x)
2030 = 29(29+x)
70 = 29 + x
x = 41 ft
Answer:
a).no sugar=1. flour=3 1/2
B). sugar= 1 1/2. Flour= 5 1/4
c) your just simplifying to the smallest possible number
Step-by-step explanation:
1/2 doubled= 1 (1/2+1\2)
1 3/4= 7/4
7/4 doubled= 14/4=3 2/4= 3 1/2(1 1/3+1 1/3)
Answer:
4.255 ft²
Step-by-step explanation:
the area of the figure =
(2.25 × 1.5)+(1/8 ×3.14× 1.5²)
= 3.375 + 0.88
= 4.255 ft²
Answer:b. 0.22
Step-by-step explanation:
Since the lengths of adult walleye fishes are normally distributed, we would apply the formula for normal distribution which is expressed as
z = (x - µ)/σ
Where
x = lengths of walleye fishes.
µ = mean length
σ = standard deviation
From the information given,
µ = 44 cm
σ = 4 cm
We want to find the probability or fraction of fishes that are greater than 41 cm in length. It is expressed as
P(x > 41) = 1 - P(x ≤ 41)
For x = 41,
z = (41 - 44)/4 = - 0.75
Looking at the normal distribution table, the probability corresponding to the z score is 0.22