Answer:
Larger rocket: 36 kiloliters
smaller rocket: 24 kiloliters
Step-by-step explanation:
Lets assign the letters: "L" to the number of kiloliters the "Larger" rocket gets, and "S" to the number of kiloliters that the "Smaller" rocket gets.
We can create two equations from the words given in the problem:
First equation: <em>A total of 60 kiloliters is to be used for "L" plus "S"</em>:
which gives us: 
Next equation comes from the words: "<em>The smaller rocket receives 12 kiloliters less than the larger rocket</em>"
which gives us: 
Now we can use this last equation to replace for the "S" unknown in the first equation (and thus reducing the problem to one equation with one unknown (L), that one can easily solve):
Therefore the amount of fuel that the larger rocket gets is 36 kiloliters.
And using the equation "S = L - 12" we get: 
Which tells us that the smaller rocket gets 24 kiloliters of fuel.
Answer:
-10,000 / -2000, although 10,000/2000 gives the same answer.
Step-by-step explanation:
The equations -10,000/2000 and 10,000/-2000 are negative, and negative days do not make sense, thus eliminating those answers.
Also, she wants to descend 10,000 feet, so that makes it -10,000 int he equation.
There are 130 pennies in the jar
Step-by-step explanation:
We have a jar of coins
- All coins are pennies and dimes
- There are 309 coins in the jar
- The total value of all coins in the jar is $ 19.2
We need to find the number of pennies in the jar
Assume that there are p pennies and d dimes in the jar
∵ There are p pennies and d dimes in the jar
∵ There are 309 coins in the jar
∵ All the coins in the jar are pennies and dimes
∴ p + d = 309 ⇒ (1)
∵ The total value of all coins in the jar is $ 19.2
∵ $1 = 100 cents
∴ $19.2 = 19.2 × 100 = 1920 cents
∵ 1 penny = 1 cent
∵ 1 dime = 10 cents
∴ p + 10 d = 1920 ⇒ (2)
Now we have system of equations, we can solve them to find p
∵ p + d = 309 ⇒ (1)
∵ p + 10 d = 1920 ⇒ (2)
- Multiply equation (1) by -10 to eliminate d
∵ (-10)(p) + (-10)(d) = (-10)(309)
∴ -10 p - 10 d = -3090 ⇒ (3)
Add equations (2) , (3)
∴ -9 p = -1170
- Divide both sides by -9
∴ p = 130
There are 130 pennies in the jar
Learn more:
You can learn more about the system of equations in brainly.com/question/3739260
#LearnwithBrainly
Answer:
17
Step-by-step explanation:
Let the number of 2 point shots be t.
Let the number of 3 point shots be h.
Allison made 87 shots and scored 191 total points. This implies two things:
t + h = 87 ________(1)
2t + 3h = 191 ______(2)
Let us eliminate t by multiplying (1) by 2 and subtracting from (2):
=> 2t + 3h = 191
- <u>2t + 2h = 174</u>
<u> h = 17 </u>
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Therefore, she made 17 three point shots.
Answer:
3/4 or .75
Step-by-step explanation:
math
