Find sum or difference.

5/10 - 3/10

A. 1/5
B. 8/10
C. 42/5
D. 1/10

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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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

Answer:

See below

Step-by-step explanation:

Distance = rate * time

Distance / rate = time

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

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.

[tex] y=-\dfrac{2}{3}x+2\\\\\left(-\dfrac{2}{5};\ \dfrac{34}{15}\right)\to x=-\dfrac{2}{5};\ y=\dfrac{34}{15}\\\\for\ x=-\dfrac{2}{5}\to y=-\dfrac{2}{3}\cdot\left(-\dfrac{2}{5}\right)+2=\dfrac{4}{15}+2=\dfrac{4}{15}+\dfrac{30}{15}=\dfrac{34}{15}\\CORRECT\\\\\left(\dfrac{7}{2};\ \dfrac{13}{3}\right)\to x=\dfrac{7}{2};\ y=\dfrac{13}{3}\\\\for\ x=\dfrac{7}{2}\to y=-\dfrac{2}{3}\cdot\dfrac{7}{2}+2=-\dfrac{7}{3}+2=-\dfrac{7}{3}+\dfrac{6}{3}=-\dfrac{1}{3}\neq\dfrac{13}{3}\\INCORRECT [/tex]

[tex] \left(\dfrac{1}{8};\ \dfrac{23}{12}\right)\to x=\dfrac{1}{8};\ y=\dfrac{23}{12}\\\\for\ x=\dfrac{1}{8}\to y=-\dfrac{2}{3}\cdot\dfrac{1}{8}+2=-\dfrac{1}{12}+2=-\dfrac{1}{12}+\dfrac{24}{12}=\dfrac{23}{12}\\CORRECT\\\\\left(\dfrac{8}{3};\ \dfrac{2}{3}\right)\to x=\dfrac{8}{3};\ y=\dfrac{2}{3}\\\\for\ x=\dfrac{8}{3}\to y=-\dfrac{2}{3}\cdot\dfrac{8}{3}+2=-\dfrac{16}{9}+2=-\dfrac{16}{9}+\dfrac{18}{9}=\dfrac{2}{9}\neq\dfrac{2}{3}\\INCORRECT [/tex]

Answer: (-2/5,34/15) and (1/8,23/12).

the answer is line because a line has no beginning nor end

it the one that go from -10 to 6 then up

Answer:

-18m-6n-30

Step-by-step explanation:

Trust me :)

Answer:

In explanation...

Step-by-step explanation:

2y = 4x + 4 and y = -2x - 2 is Neither

4y = 2x - 4 and y = -2x + 9 is Perpendicular

y = 2x + 4 and 2y = 4x - 7 is Parallel

Hope this helps.

This is a different question that I am answering because the question I am talking of said perpendicular, parallel, or neither rather than parallel, perpendicular or neither. Srry.

a) The details of this long division is shown in the image attached.

b) This division can not work as the result is zero.

c) 5/6 is a rational number. This is because the quotient is a terminating decimal.

Long division is a technique for dividing two numbers that involves working through the remainder and quotient step-by-step. When dividing a larger number (dividend) by a smaller number (divisor) that is difficult to divide in one step, it is usually utilized.

Until there are no more dividend digits, the procedure entails dividing the dividend by the divisor several times, multiplying the divisor by the quotient gained in each step, removing the product from the partial remainder, and bringing down the next dividend digit.

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 element is 5.

Your question is incomplete. Please find below the missing content.

Matrix is hard and fast of numbers arranged in rows and columns so one can form a rectangular array. The numbers are called the elements, or entries, of the matrix. Matrices have wide programs in engineering, physics, b, and facts in addition to various branches of arithmetic.

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One-eighth, when converted to a percent, is 12.5%. The decimal 0.709 is equivalent to 70.9% when converted to a percent. Two-thirds is roughly equivalent to 66.7% after conversion and rounding.

Converting Fractions and Decimals to Percents

To convert a fraction to a percent, you can either first convert it to a decimal or multiply the fraction straightaway by 100. For one-eighth, we multiply 1/8 by 100 to get 12.5%. So one-eighth as a percent is 12.5%.

To rename 0.709 as a percent, you move the decimal point two places to the right or multiply by 100, which gives us 70.9%. Therefore, 0.709 as a percent is 70.9%.

Lastly, two-thirds is equivalent to the decimal 0.666... (repeating). To turn this into a percent, we again multiply by 100, yielding approximately 66.7%, after rounding.