Martin combined different amounts of orange juice, pineapple juice, and strawberry juice to make 1850 milliliters (ml) of fruit punch. The amount of orange juice combined was x ml. The amount of pineapple juice combined was 100 ml more than the amount of orange juice, and the amount of strawberry juice was half the amount of orange juice. This is represented in the equation below:x + (x + 100) + one half x = 1850
What was the difference in the amounts of pineapple juice and strawberry juice Martin combined?
Answers
First, we need to solve x (the amount of orange juice):
x + (x + 100) + one half x = 1850
x + x + 100 + 1/2 x = 1850
We can represent 1/2 as 0.5:
2x + 100 + 0.5x = 1850
2.5x = 1850 - 100
2.5x = 1750
x = 1750 ÷ 2.5
x = 700.
Thus, in the fruit punch, there is 700 ml of orange juice.
The amount of pineapple juice combined was 100 ml more than the amount of orange juice. Therefore, there is 800 ml of pineapple juice (700 ml of orange juice + 100 ml more).
The amount of strawberry juice was half the amount of orange juice. Therefore, there is 350 ml of strawberry juice (700 ml of orange juice ÷ 2).
The difference in the amounts of pineapple juice and strawberry juice Martin combined is 450 ml:
the amounts of pineapple juice - the amounts of strawberry juice =
800 ml of pineapple juice - 350 ml of strawberry juice = 450 ml.
Answer:
450 ml
Step-by-step explanation:
450ml we have and then we can plug into equation if Martin combined different amounts of orange juice, pineapple juice, and strawberry juice to make 1850 milliliters and we divide and get 450 ml
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The next term is : an=an-1+2= a1 8; 18
Based on the information given 2 is added ton each sequence
Sequence:
8+2=10
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The next term will be:
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Inconclusion The next term is an=an-1+2= a1 8; 18
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Answer:
answer is b
Step-by-step explanation:
Answers
A fraction is a short way to write a division problem.
Whenever you see a fraction, it means
(the top number) divided by (the bottom number).
When you pick up your pencil or your calculator and actually do the
division, the answer to the division is the decimal form of the fraction.
To change that fraction 1/5 to a decimal, divide 1 by 5 .
Then, to change the decimal to a percent, move the
decimal point 2 places that way ==>.
b =
c =
Answers
We then have the following quadratic equation:
By rewriting the equation in its standard form, we have:
Comparing with the definition, we have that the values of the coefficients are given by:
Answer:
The values of a, b and c are given by:
Answer
a = -7 × 10⁰
b = 1 × 10⁰
c = 4 × 10⁰
Explanation
The general formula is; ax² + bx + c.
Where a ⇒ co-efficient of x²
b ⇒ co-efficient of x
c ⇒ The constant term
0 = 4 – 7x² + x This equation can be written in the form of ax² + bx + c.
0 = 4 – 7x² + x = -7x² + x + 4 = 0
Comparing the values of a, b and c in the equation in standard form are;
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b = 1 × 10⁰ and
c = 4 × 10⁰
Answers
Final answer:
The probability that Samuel pulls more than 20 cents out of his pocket is 2/3 or approximately 0.67.
Explanation:
In order to find the probability that Samuel pulls more than 20 cents out of his pocket, we need to determine the sample space and the favorable outcomes.
The sample space is the set of all possible outcomes, which in this case is the number of ways Samuel can choose 2 coins out of the 3 coins in his pocket. The number of ways to choose 2 coins out of 3 is given by the combination formula, which is C(3, 2) = 3.
The favorable outcomes are the number of ways Samuel can choose 2 coins that total more than 20 cents. Since Samuel has a nickel (5 cents), a dime (10 cents), and a quarter (25 cents), the favorable outcomes are:
- Choosing the dime and quarter, which has a total value of 10 + 25 = 35 cents
- Choosing the nickel and quarter, which has a total value of 5 + 25 = 30 cents
Therefore, there are 2 favorable outcomes out of a total of 3 possible outcomes, so the probability that Samuel pulls more than 20 cents out of his pocket is 2/3 or approximately 0.67.
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Answers
set x=0
y=2(0+3)(0-4)
y=2*3*-4
y=-24
y intecept is -24
Answers
+14 +14
5x=x+7
-x -x
4x=7
/4 /4
x=1.75