For this problem, I will use diagram.
First if all, we know that Kate used 1 cup of lemon juice and 2 cups sugar, so we have this:
1 cup of lemon juice=2 cups sugar
Then, the problem asked to find how many cups of lemon juice does Kate needs with 10 cups of sugar, and now we have have the complete tree diagram
1 cup of lemon juice= 2 cups of sugar
?cups of lemon juice=10 cups of sugar
Step 1:
Use cross multiply
10×1=10
Step 2:
Use division
10÷2=5
As a result, Kate will need 5 cups of lemon juice with 10 cups sugar
But there is another way to find the answer, too. If you curious, here is the second way:
The ratio between cup of sugar/cup of lemon juice, so
2 cups of sugar/1 cup of lemon juice. In conclusion, Kate use double amount of sugar than lemon juice, so the question asked us to find how many cups of lemon juice does Kate needs with 10 cups sugar. To find the answer, take 10÷2=5 cups of lemon of juice is your final answer. Hope it help!
Answer:
£ 114
Step-by-step explanation:
From the question given above, the following data were obtained:
Price of TV = £ 1200
VAT = 20%
Amount paid = £ 300
Amount paid monthly =.?
Next, we shall determine the VAT. This can be obtained as follow:
VAT = 20% of price of TV
VAT = 20/100 × 1200
VAT = £ 240
Next, we shall determine the total cost of the TV. This can be obtained as follow:
Price of TV = £ 1200
VAT = £ 240
Total cost of TV =?
Total cost = Price + VAT
Total cost = 1200 + 240
Total cost = £ 1440
Next, we shall determine the balance amount he needs to pay. This can be obtained as follow:
Total cost = £ 1440
Amount paid = £ 300
Balance amount =?
Balance = Total cost – Amount paid
Balance = 1440 – 300
Balance = £ 1140
Finally, we shall determine the amount Harry will pay month.
Balance Amount = £ 1140
Number of months = 10
Amount paid monthly =.?
Amount paid monthly = Balance / number of month
Amount paid monthly = 1140 / 10
Amount paid monthly = £ 114
Therefore, Harry will pay £ 114 monthly.
Answer:
(24, 32, 40) is a Pythagorean triplet.
Option A) Yes, as long as each number in the Pythagorean triple is multiplied by the same whole number.
Step-by-step explanation:
We are given the following in the question:
Pythagorean triplet: (3,4,5)
New Pythagorean triplet obtained = (24, 32, 40)
Pythagoras theorem:
For a right angles triangle the sum of square of sides of triangle is equal to the square of hypotenuse of triangle.
Verification:
Yes, Tessa is correct.
(24, 32, 40) is a Pythagorean triplet.
Pythagorean triple be created using multiplies of a known Pythagorean triple
Option A) Yes, as long as each number in the Pythagorean triple is multiplied by the same whole number.
Answer:
4
Step-by-step explanation:
The values on the left of the table represent the number of fish caught, and the number of the right of the table represents how many family members caught that amount of fish.
Therefore, the first row means that 0 family members caught 0 fish.
The second row means that 3 family members caught 1 fish.
The third row would mean 1 family member caught 2 fish.
The next row would mean 0 family members caught 3 fish.
And the final row would mean 4 family members caught 4 fish.
The question does not ask for the total amount of fish caught; rather is ask for the maximum number of fish that a single family member caught.
Therefore, the maximum amount of fish that a single family member catches is 4. (And 4 family members did so. But individually, the maximum amount of fish one person caught is 4).
