Kurt's truck uses 10 gallons of gas to travel 140miles. He has 5 gallons in the tank. How much more gas will he need to drive 322 miles
Answers
Answer:
18 gallons
Step-by-step explanation:
Step 1:
140 : 10 = x : 5 Equation / Ratio
Step 2:
10x = 700 Multiply
Step 3:
x = 70 Divide
Step 4:
322 miles - 70 miles To find how many miles are needed to get to 322
Step 5:
252 miles ÷ 14 To find the amount of gas / Divide
Answer:
18 gallons more
Hope This Helps :)
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In second grade Eliza was given 500 from her grandparents this money was deposited into a savings account that earns 3% annual interest compounded quarterly find the account balance at graduation is there no other deposits or withdrawals in the account
Determine a region of the xy-plane for which the given differential equation would have a unique solution whose graph passes through a point (x0, y0) in the region. (x2 + y2)y' = y2 1. A unique solution exists in the region y ≥ x. 2. A unique solution exists in the entire xy-plane. 3. A unique solution exists in the region y ≤ x. 4. A unique solution exists in the region consisting of all points in the xy-plane except the origin.5. A unique solution exists in the region x2 + y2 < 1.
In grade 7, the ratio of boys to girls is 14:24. How many more percentage is girls to boys?
consider a sequence of independent tosses of a biased coin at times k=0,1,2,…,n. On each toss, the probability of Heads is p, and the probability of Tails is 1−p.A reward of one unit is given at time k, for k∈{1,2,…,n}, if the toss at time k resulted in Tails and the toss at time k−1 resulted in Heads. Otherwise, no reward is given at time k.Let R be the sum of the rewards collected at times 1,2,…,n.We will find E[R] and var(R) by carrying out a sequence of steps. Express your answers below in terms of p and/or n using standard notation. Remember to write '*' for all multiplications and to include parentheses where necessary.We first work towards finding E[R].1. Let Ik denote the reward (possibly 0) given at time k, for k∈{1,2,…,n}. Find E[Ik].E[Ik]=2. Using the answer to part 1, find E[R].E[R]=The variance calculation is more involved because the random variables I1,I2,…,In are not independent. We begin by computing the following values.3. If k∈{1,2,…,n}, thenE[I2k]=4. If k∈{1,2,…,n−1}, thenE[IkIk+1]=5. If k≥1, ℓ≥2, and k+ℓ≤n, thenE[IkIk+ℓ]=6. Using the results above, calculate the numerical value of var(R) assuming that p=3/4, n=10.var(R)=
If you wanted to make twice as much profit as you spent, how many rooms would need to be built?
Answers
Answer:
a. 37 rooms are need to break even.
b. 73 rooms are required to make twice as much profit as you spent.
Step-by-step explanation:
Revenue of the company from each additional room is $1200.
Total construction cost = $44,000.
At break even condition, total revenue is equal to total cost. In other words, the profit of the firm is zero at break even.
Let x be the number of rooms that are need to break even.
Total revenue of x room is
At break even,
Total revenue = Total cost
Divide both sides by 1200.
Therefore, 37 rooms are need to break even.
Let y be the number of rooms to make twice as much profit as you spent.
Total revenue of y room is
Total revenue = 2 × Total cost
Divide both sides by 1200.
Therefore 73 rooms are required to make twice as much profit as you spent.
b. –9 + 9i
c. –5 + 9i
d. –5 – 3i
Answers
Answer:
d
Step-by-step explanation:
(-7 + 3i) + (2-6i)
=-7 + 3i + 2 -6i
=(-7+2) + (3i -6i)
=-5 -3i
Answer:
(-7+3I)+(2-6I)
= -7+3i+2-6i
= -5-3I
so answer is d ie -5-3i
Answers
The combination is a way of selecting items from a collection where the order of selection does not matter.
The number of ways five students form a group for an activity is 6944.
What is a combination?
The combination is a way of selecting items from a collection where the order of selection does not matter.
The formula for combination is given:
We have,
Number of students = 32
Number of students in a group = 5
The number of ways five students form a group:
=
n = 32 and r = 5
=
= 32! / 5! (32 - 5)!
= 32! / 5! 27!
= 32 x 31 x 30 x 29 x 28 / 5 x 4 x 3 x 2
= 6944
Thus,
The number of ways five students form a group for an activity is 6944.
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In general, it is the number of arrangements of 5 out of 35 (35P5) divided by the number of arrangements of 5 out of 5 (5P5), which reduces to
35P5/5P5 = 35!/((30-5)!) / (5!/(5-5)!) = 35!/(5!(30-5)!) = 35C5.
Substituting values
35C5 = 35!/(5!30!)=35*34*33*32*31/(1*2*3*4*5) = 324632 ways
Answers
Answers
Answer:8192,-65536,524288
Step-by-step explanation:
2,-16,128,-1024,....
First term=a=2
Common ratio=r=-16/2=-8
Using the formula
Tn=a x r^(n-1)
T5=2 x (-8)^(5-1)
T5=2x (-8)^4
T5=2x4096
T5=8192
T6=2x(-8)^(6-1)
T6=2x(-8)^5
T6=2x-32768
T6=-65536
T7=2x(-8)^(7-1)
T7=2x(-8)^6
T7=2x262144
T7=524288
Answers
Penguin can swim 68 miles in four hours.
What is Rate?
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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17 mile per hr x 4 hours =68