John and peter shared $280 in the ratio 7:3 . How much money did John receive than peter? Plz help!!!

Mrs. Hilt will have $4,400 in her savings account at the end of one year after earning 10% interest on her initial $4,000 deposit.

To solve the task of determining how much Mrs. Hilt will have in her savings account after one year, we need to calculate the interest earned and add it to the original amount. Mrs. Hilt has $4,000 in her account, and the annual interest rate is 10%.

The interest Mrs. Hilt will earn in one year is calculated by multiplying the principal amount by the interest rate: $4,000 x 0.10 = $400. Therefore, the total amount in the account after one year, which includes the original principal and the interest earned, is $4,000 + $400 = $4,400.

In summary, Mrs. Hilt will have $4,400 in her savings account at the end of one year, based on a 10% annual interest rate.

The total distance from Charles' starting point at the marina to his destination is calculated by adding the vectors representing each leg of his journey and using the Pythagorean theorem to find the length of the resultant vector. This comes out to be approximately 40 km.

This problem can be solved using vector addition and the Pythagorean theorem. Charles’ first leg of the journey is 10° west of north, therefore we could consider it as a vector directed north-west. Charles travels 1.5h at 18 km/h, therefore the lenght of this vector is 27km. Charles’ second leg of the voyage heads 60° east of north, that could be considered as a vector heading north-east. He sails for 1.5h at 20 km/h resulting in a vector of 30 km.

Now, if we place these two vector head to tail keeping their direction intact, we form a right triangle. Using Pythagorean theorem, the hypotenuse of the triangle will give us the distance from initial to final point. Therefore, the formula becomes √(27² + 30²) = √(729 + 900) = √1629 ≈ 40.36 km which is approximately 40 km to the nearest kilometer.

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To determine the amount of cinnamon per pound of the spice mix, divide the total cups of cinnamon (56) by the total pounds of the mix (34), resulting in approximately 1.647 cups per pound. This equates to 1 3/5 cups of cinnamon per pound, which is the closest option.

The question asks us to calculate how much cinnamon is contained in each pound of a spice mixture if we know that there are 56 cups of cinnamon in 34 pounds of the spice mix. To find the cinnamon content per pound, we'll divide the total number of cups of cinnamon by the total number of pounds of the spice mix.

Here is the calculation:
56 cups cinnamon / 34 pounds spice mix = cups per pound.

Doing the division, we get: 56 / 34 = 1.647 cups, which we need to express as one of the provided options. The nearest option to 1.647 is 1 3/5 cups, or 1.6 cups, when rounded to the nearest fraction.

Therefore, the spice mix contains 1 3/5 cups of cinnamon per pound.

Answer:

See below

Step-by-step explanation:

Distance = rate * time

Distance / rate = time

15 / 20 = time = 3/4 hr = 45 min

Carlos was 7 out of 10 = 7/10= 0.7 = 70%

Th was 21 out of 30 = 21/30 = 0.7 = 70%

 they have the same rate

To find out how much more Christians turkey weighs than Graces, convert the weights to the same unit and subtract Graces turkey weight from Christians turkey weight. The difference is 11.125 pounds.

To find out how much more Christians turkey weighs than Graces, first convert the weights of the turkeys to the same unit. Then subtract Graces' turkey's weight from Christians' turkey's weight.

To convert 6 pounds and 14 ounces to pounds, divide the 14 ounces by 16 and add the result to 6. This equals 6.875 pounds.

Now subtract Graces' turkey weight from Christians' turkey weight: 18 pounds and 3 ounces - 6.875 pounds = 11.125 pounds. Therefore, Christians' turkey weighs 11.125 pounds more than Graces' turkey.

Approximately $991.56 for a similar piece of fabric that is 18 inches by 42 inches, assuming the cost per square inch remains the same.

To calculate the cost of a similar piece of fabric that is 18 inches by 42 inches, you need to first determine the area of the fabric in square inches and then multiply it by the cost per square inch.

The area of the fabric is given by the formula:

Area = Length × Width

In this case, the length is 18 inches, and the width is 42 inches. So,

Area = 18 inches × 42 inches = 756 square inches

Now that you have the area of the fabric, you can calculate the cost. If the cost of the fabric is $1.31 for 1 square inch, then you can simply multiply the cost per square inch by the total area:

Cost = Cost per square inch × Area

Cost = $1.31 × 756 square inches

Now, calculate the cost:

Cost = $991.56

So, you would expect to pay approximately $991.56 for a similar piece of fabric that is 18 inches by 42 inches, assuming the cost per square inch remains the same.

for such more question on area

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Final answer:

The approximate distance between Chicago and Algonquin is 64 kilometers.

Explanation:

To find the approximate distance between Chicago and Algonquin, we can use the given scale of 2 centimeters = 40 kilometers. Since the distance on the map is 3.2 centimeters, we can set up a proportion to find the actual distance:

2 cm / 40 km = 3.2 cm / x km

Cross multiplying, we get 2x = 40 x 3.2, which simplifies to 2x = 128. Dividing by 2, we find that x is equal to 64. Therefore, the approximate distance between Chicago and Algonquin is 64 kilometers.

Answer:

Step-by-step explanation:

0.9 UB=0.95

0.9 LB=0.85

0.13 UB= 0.135

0.13 LB= 0.125

0.85x2=1.7

0.125x400=50

1.7+50=51.7

Minimum thickness=51.7mm

To calculate the minimum thickness of the book, add up the thickness of the front cover, the back cover, and all the pages. The minimum thickness of the book is 54.8mm.

To calculate the minimum thickness of the book, we need to add up the thickness of the front cover, the back cover, and all the pages. The front cover has a thickness of 0.9mm, the back cover has a thickness of 0.9mm, and each page has a thickness of 0.13mm. There are 400 pages in the book. So, the minimum thickness of the book can be calculated as:

Front cover thickness + Back cover thickness + (Number of pages x Page thickness)

0.9mm + 0.9mm + (400 x 0.13mm) = 0.9mm + 0.9mm + 52.0mm = 54.8mm

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Answer:

I think the answer is

7cm

Answer:

The correct answer should be 7cm if not 14cm

Answer: The solution of the above equation would be -12.

and First option is correct " Multiply both sides by 3x + 7."

Step-by-step explanation:

Since we have given that

[tex]\dfrac{-22+3x}{3x+7}=2[/tex]

First we multiply (3x+7) on both sides , we get

[tex]-22+3x=2(3x+7)[/tex]

And then we will solve it for the value of 'x'.

[tex]-22+3x=6x+14\\\\-22-14=6x-3x\\\\-36=3x\\\\\dfrac{-36}{3}=x\\\\-12=x[/tex]

Hence, the solution of the above equation would be -12.

and First option is correct " Multiply both sides by 3x + 7."

Answer:

Multiply both sides by 3x + 7. Divide both sides by 3x + 7. Multiply both sides by -22 + 3x. Divide both sides by -22 + 3x

Step-by-step explanation:

To find the product of 990 and 37 using partial products, break down each number into its place value components and multiply accordingly.

To find the product of 990 and 37 using partial products, we can break down each number into its place value components. First, we multiply the ones place of 990 by the ones place of 37, which gives us 0. Next, we multiply the tens place of 990 by the ones place of 37, which gives us 370. Finally, we multiply the hundreds place of 990 by the ones place of 37, which gives us 3330. Adding all these partial products together, we get 3700 + 3330 + 0 = 7030.