Answer:
The car that has a fuel efficiency of 40 mpg consumed 35 gallons, while the car that has a fuel efficiency of 20 mpg consumed 40 gallons.
Step-by-step explanation:
The variable a will represent the fuel consumed by the first car, and the variable b will represent the fuel consumed by the second car.
Set up the formula: a+b=75, which will represent the total gas consumption.
The formula 20a+40b=2200 will help you solve.
To solve, we will first solve for a by changing the formula from a+b=75 to b=75-a. Then you plug in the value of b to the second formula:
20a+40(75-a)=2200
20a+3000-40a=2200
3000-20a=2200
After subtracting 3000 from both sides, you are left with -20a=-800. Multiply both sides by -1 so that both sides are positive:
20a=800
a=40
Now that we know that the car with a 20 mpg fuel efficiency consumed 40 gallons that week, we can subtract 40 from 75, leaving us with 35 being the amount of gallons consumed by the car with a 40 mpg efficiency.
Penguin can swim 68 miles in four hours.
A rate is defined as the ratio which is used to compare two different types of quantities that have different units.
Unit rate defines the ratio of the amount of one quantity with respect to the single unit of the other quantity. Or in other words, the denominator of unit rate will be always 1.
Here we have the unit rate as 17 miles per hour.
Here unit rate is defined in terms of distance covered per time which is actually the speed of penguin.
We have to the distance covered by the penguin in 4 hours.
Rate = Distance / Time
⇒ Distance = Rate × Time
= 17 × 4
= 68 miles
Hence, penguin can swim 68 miles in 4 hours if the rate of swimming is 17 miles per hour.
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B. Read the problem
C. Write each fact as a variable expression
D. Write each fact as a sentence
Answer:A , C , D
Step-by-step explanation:I just did it and those were the answers
Answer:
A and B
Step-by-step explanation:
P = $20000,r = 0.13, and n = 2 years
At the end of 2 years A is ____
B. Pyramid
C. Cone
D. Polygon
The Prism and Pyramid is a typical example of polyhedron. That is optionA and B.
A polyhedron is any solid that has a three dimensional shape with all its sides flat. It is made up of different polygons that join together.
These polyhedron are made up of three parts:
Examples of polyhedron are the Prism and Pyramid. The prisms have flat faces and is made up of rectangles while the pyramids is made up of triangles and different polygons.
Therefore, the Prism and Pyramid is a typical example of polyhedron.
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b. If you are the first one in the city to place an order, what is the probability that you have to wait more than two weeks from the time you place your order until a technician is dispatched?
Answer:
0.3233
0.09
Step-by-step explanation:
Given that :
Mean, λ = 0.25 for a 100,000 per week
For a population of 800,000 :
λ = 800,000 / 100,000 * 0.25 = 8 * 0.25 = 2 orders per week
Probability that technician is required after one week ;
After one week, order is beyond 2 ; hence, order, x ≥ 3
P(x ≥ 3) = 1 - [p(x=0) + p(x= 1) + p(x =2)]
P(x ≥ 3) = 1 - e^-λ(1 + 2¹/1! + 2²/2!)
P(x ≥ 3) = 1 - e^-2(1+2+2) = 1 - e^-2*5 = 1 - e^-10
P(x ≥ 3) = 1 - e^-2 * 10
P(x ≥ 3) = 1 - 0.6766764
P(x ≥ 3) = 0.3233
B.)
Mean, λ for more than 2 weeks = 2 * 2 = 4
P(x < 2) = p(x = 0) + p(x = 1)
P(x < 2) = e^-4(0 + 4^1/1!)
P(x < 2) = e^-4(0 + 4) = e^-4(5)
P(x < 2) = e^-4(5) = 0.0183156 * 5 = 0.0915
P(x < 2) = 0.09
Answer:
530 :)
Step-by-step explanation:
If you add up the dowton and center city locations and then subtract that from the amount of pizzas at the westland location, you get your answer
The Westland location needs to sell 25 more pizzas to equal the sales of the downtown and center city locations.
To determine how many more pizzas the Westland location needs to sell to equal the downtown and center city locations, you would need to know the number of pizzas sold at each location. Let's say the downtown location sold 100 pizzas and the center city location sold 75 pizzas. To equalize the sales, the Westland location would need to sell the difference between the two, which is 25 pizzas.
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