A recipe for homemade modeling clay includes 13 1 3 cup of salt for every cup of water. If there are 6 cups of salt, how many gallons of water are needed?
Answers
Answer:
9/320 gallons of water or 0.028125 gallons of water
Step-by-step explanation:
We are told in the question:
13 1/3 cup of salt = 1 cup of water.
6 cups of salt =
Cross Multiply
= 6 × 1/ 13 1/3
= 6 / 13 1/3
= 6 ÷ 40/3
= 6 × 3/40
= 18/40 cup of water.
= 9/20 cup of water.
16 cups of water = 1 gallon
9/20 cup of water =
= 9/20 × 1/16
= 9/20/ 16
= 9/20 ÷ 16
= 9/20 × 1/16
= 9/320 gallons of water or 0.028125 gallons of water
Therefore, 9/320 gallons of water or 0.028125 gallons of water is needed for 6 cups of salt
=
Final answer:
To make 6 cups of salt, 6/16 gallons of water are needed.
Explanation:
To determine how many gallons of water are needed for 6 cups of salt, we can use the proportion given in the recipe: 13 1 3 cups of salt for every cup of water. We can set up the proportion as 13 1 3 : 1 = 6 : x, where x represents the number of gallons of water needed. To solve for x, we can cross multiply and divide: (13 1 3)(x) = (6)(1), which simplifies to x = 6 * 1 / 13 1 3 = 6 / 13 1 3. To convert this fraction to a mixed number, we can use division: 6 ÷ 13 = 0 with a remainder of 6. Therefore, there are 0 whole gallons of water and 6 cups, or 6/16 gallons, of water needed.
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You deposit $3000 in a savings account that earns 2.9% annual interest compounded monthly. You also save $80 per month in a safe at home. Write a function for the total amount of money saved C(t)=b(t)+h(t), where b(t) represents the balance of your savings account and h(t) represents the amount in your safe after t years. Round any decimals to three decimal places.
Identify the transformation.
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The correct answer is:
3.7
Explanation:
Absolute value is the distance a number is from 0. The number 3.7 is 3.7 units away from 0 on a number line; this means the absolute value is 3.7.
Answers
Answer:
The total cost of the motorcycle is $4187 .
Step-by-step explanation:
As given
Glenn Andrews recently bought a motorcycle for $3,950 if he had to pay 6% sales tax on the bike .
6% is written in the decimal form.
= 0.06
Sales tax price = 0.06 × 3950
= $237
Total cost of the motorcycle = Motorcycle cost + Sales tax price
= $ 3950 + $237
= $ 4187
Therefore the total cost of the motorcycle is $4187 .
$ 3950.00 x .06 = $237.00
3950.00
237.00
---------------
$4187.00 Total Cost of the Motorcycle
square
heptagon
14-gon
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My sister had the same question as you!
Hope this help!
c. =
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2. A ∪ C __ null, or empty set
3. A ∩ B __ {1, 3, 5}
4. A ∩ C __ {1, 2, 3, 4, 5, 6}
5. B ∩ C __ {2, 4}
Final answer:
The result of a ∪ (b ∩ c) equals the union of set a with set b, since set b is completely contained within set c. The final answer is {1, 2, 3, 4, 5, 6}.
Explanation:
The question involves concepts of set theory and specifically deals with the union and intersection of sets. The sets given are a = {1, 3, 5}, b = {2, 4, 6}, and c = {1, 2, 3, 4, 5, 6}. We're asked to find the result of a ∪ (b ∩ c), which means we want to determine the union of set a with the intersection of sets b and c. First, we need to find b ∩ c, which are the elements common to both b and c. Since c contains all the elements of b, the intersection b ∩ c is simply b, which is {2, 4, 6}. Now, we take the union of set a with this result, so a ∪ (b ∩ c) = a ∪ b = {1, 2, 3, 4, 5, 6}. Hence, a ∪ (b ∩ c) contains all elements from both set a and set b, as there were no common elements in set a and set b originally.
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Please write down full calculation for this equation. Thanks!!
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Answer:
it's radius is 9 and diameter is 18
Answer:
diameter=18cm
radius =diameter/2=18/2=9cm