Answer:
The price of pretzels in 1975 = $1.80
Step-by-step explanation:
To answer this question we are assuming the steady rate means linear.Let x be the year and y be the price.
We need to find the slope
m = (y2-y1)/(x2-x1)
= (4.80-4.05)/(2015-2005)
=.75/10
= .075
The slope is .075
We can use the point slope form of the equation
y-y1 = m(x-x1)
y-4.80 = .075(x-2015)
Distribute
y - 4.80 = .075x -151.125
Add 4.80 to each side
y - 4.80+4.80 = .075x -151.125+4.80
y = .075 x - 146.325
We want to find out how much pretzels were in 1975. Put in x=1975
y = .075(1975) -146.325
y = 148.125-146.325
y=1.80
Answer:
Step-by-step explanation:
5x^5 - 2x - 4x^4 - 3x^2
5x^5 - 4x^4 - 3x^2 - 2x
Answer:
y = -2
Step-by-step explanation:
Put x as -19 and solve for y.
2(-19) - 5y = -28
Multiply.
-38 - 5y = -28
Add 38 on both sides of the equation.
-5y = -28 + 38
-5y = 10
Divide both sides by -5.
y = 10/-5
y = -2
Answer:
4.9kg of water
Step-by-step explanation:
Dry basis is the percentage ratio of moisture amount to amount of dry product which is 175%
Ratio of moisture amount to dry product = 175 : 100
Mass of food product = 10kg
Amount of moisture in food product = 175/175+100 × 10kg = 175/275 × 10kg = 6.4kg
Wet basis is the percentage ratio of the moisture amount to the total weight of material which is 15%
Ratio of moisture amount to total weight of material is 15 : 100
Amount of moisture in food product = 15/100 × 10kg = 1.5kg
Amount of water contained in the final product = 1.5kg
Amount of other components in the food product = 10kg - 6.4kg = 3.6kg
Total amount = 1.5kg + 3.6kg = 5.1kg
% of water = 1.5kg/5.1kg × 100 = 29%
Answer: 49
Step-by-step explanation:
From your question, I think you mean the largest number. The answer is given below.
Let the five consecutive odd numbers be:
a, a+2, a+4, a+6 and a+8.
Thee sum of the first and double the last is 139. This can be written as:
a + 2(a+8) = 139
a + 2a + 16 = 139
3a + 16 = 139
3a = 139 - 16
3a = 123
a = 123/3
a = 41
The first number = 41
The largest number = a+8 = 41 + 8 = 49.
