Frank lives 6 miles away from school. If he rode his bike 7/8 miles and walked the rest, how many miles did he ride his bike?

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Answer 1
Answer: we need to find 7/8 of 6. to do this we multiply them together. we write 6 as 6/1 and multiply across to get 42/8 or 5 2/8 simplified to 5 1/4 as a mixed fraction. Frank rode his bike 5 1/2 miles to school

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Which translation maps the graph of the function f(x) = x2 onto the function g(x) = x2 + 2x + 6? left 1 unit, up 5 units right 1 unit, up 5 units left 2 units, up 2 units right 2 units, up 2 units
Solve: −5(x + 6) = 15

Write two irrational numbers between 1 and 2

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(\pi)/(2),√(\pi)
Answer : √(2) and √(3)

Using the right triangle below find the cosine of angle A.

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For the given triangle, the cosine of angle A equals (1)/(2).

Step-by-step explanation:

Step 1; In the given triangle, the opposite side has a length of 9 units, the adjacent side has a length of 3√3 units while the hypotenuse of the triangle measures 6√3 units. To calculate the cosine of angle A we divide the adjacent side by the hypotenuse side.

cos A = (adjacent side)/(hypotenuse).

Step 2; Length of the adjacent side = 3√3 units.

Length of the hypotenuse side = 6√3 units.

cos A = 3√3 / 6√3

cos A = (1)/(2).

To check we also have A = 60° and cos 60° = (1)/(2).

The populations of cities A and B are 2.6 * 10^5 and 1,560,000 respectively. the population of city C is twice the population of city Bthe population of city C is how many times the population of city A?

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Answer:

City C is 12 times the population of city A.

Step-by-step explanation:

AI-generated answer

To find out how many times the population of city C is compared to city A, we first need to determine the population of city C.

Given that the population of city B is 1,560,000 and the population of city C is twice the population of city B, we can calculate the population of city C as follows:

Population of city C = 2 * Population of city B

= 2 * 1,560,000

= 3,120,000

Now that we know the population of city C is 3,120,000, we can compare it to the population of city A.

The population of city A is given as 2.6 * 10^5 (which is scientific notation for 2.6 multiplied by 10 raised to the power of 5).

To compare the population of city C to city A, we divide the population of city C by the population of city A:

Population of city C / Population of city A = 3,120,000 / 2.6 * 10^5

To simplify this calculation, we can express both numbers in the same format:

3,120,000 = 3.12 * 10^6 (since we move the decimal point 6 places to the right)

2.6 * 10^5 = 260,000 (as we move the decimal point 5 places to the right)

Now we can calculate:

Population of city C / Population of city A = 3.12 * 10^6 / 260,000

Dividing these two numbers, we get:

Population of city C / Population of city A = 12

Therefore, the population of city C is 12 times the population of city A.

Answer:

City C is 12 times the population of city A.

Step-by-step explanation:

the weight of and elephant is 10,000 time the weight of a cat. If the elephant weighs 14,000 pounds, how many pounds does the cat weigh?

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Easy, the cat weighs 1.4 pounds :)

At the pumpkin patch, Fred picks a pumpkin that weighs 5,800 grams. If kg : g = 1 : 1,000, what is the weight of the pumpkin in kilograms?

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It is 5.8 kilograms. 

How do you combine like terms in this expression?

10xy-4(xy+2x²y)

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The answer is - 8x^2y+6xy