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sineoko [7]
3 years ago
14

a cyclist rides his bike at a rate of 10 miles per hour. what is this rate in kilometers per hour? how many kilometers will the

cyclist travel in 4 hours? in your computations assume that 1 mile is equal to 1.6 kilometers. DO NOT ROUND YOUR ANSWER
Mathematics
1 answer:
Vesna [10]3 years ago
7 0

Answer:

64

Step-by-step explanation:

speed of cyclist = 10 miles per hour

given 1 mile is equal to 1.6 kilometres.

1*10 miles will be equal to 1.6*10 kilometres

thus , 10 mile is equal to 16 kilometres

using 16 km in place of 10 miles in 10 miles per hour

we have

speed of cyclist = 16 kilometres per hour

we know that distance = speed * time

speed is 16 kilometres per hour

time 4 hours

thus , distance = 16*4 kilometres= 64 kilometres.

cyclist will travel 64 kilometres in 4 hours.

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The product of 9 and the quantity 5 more that a number,t, is less that 6
Pepsi [2]

The inequality is 9 ( t + 5 ) < 6.

In mathematics, an inequality is a relation that makes a non-same comparison between two numbers or different mathematical expressions. It is used most often to examine numbers on the quantity line by using their length.

Inequality, In mathematics, is a declaration of an order relationship—greater than, extra than or same too, much less than, or much less than or identical to—between numbers or algebraic expressions.

The definition of inequality is a difference in length, amount, exceptional, social function, or another component. An instance of inequality is if you have ten of something and a person else has none.

Let t be the number.

We know that,

The phrase "5 more than a number t" is equal to adding the number t and 5

(t+5)

The phrase "the product of 9 and the quantity 5 more than a number t" is equal to multiplying 9 by (t+5)

9(t+5)

Less represent the symbol " < ".

Therefore,

The inequality that represents this problem is 9(t+5) < 6.

Learn more about inequality here brainly.com/question/11613554

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7 0
1 year ago
Find the distance between the points ( 19 , 16 ) and ( − 13, 10 )
Inessa [10]

Answer:

\sqrt{1060}=32.55..... or 32.6

Step-by-step explanation:

\sqrt{(-13-19)^2+(10-16)^2}

\sqrt{(-32)^2+(-6)^2}

\sqrt{1024+36}

\sqrt{1060}=32.55..... or 32.6

hope this helps

7 0
3 years ago
Inverse of f(x)=3x-4
aniked [119]

Answer:

\large\boxed{f^{-1}(x)=\dfrac{x+4}{3}=\dfrac{1}{3}x+\dfrac{4}{3}}

Step-by-step explanation:

f(x)=3x-4\to y=3x-4\\\\\text{exchange x to y and vice versa}\\\\x=3y-4\\\\\text{solve for y}\\\\3y-4=x\qquad\text{add 4 to both sides}\\\\3y=x+4\qquad\text{divide both sides by 3}\\\\y=\dfrac{x+4}{3}

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3 years ago
The formula for the area A
chubhunter [2.5K]
A = 1/2h(b1 + b2)
2A = h(b1 + b2)
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b1 = 2A/h - b2
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3 years ago
Twice the difference of a number and 2 is equal to three times the sum of the number and 3. Find the number. The number is nothi
trasher [3.6K]

The number is -13.

In order to find this, we first need to make each part of the statement into a mathematical statement.

Twice the difference of a number and 2.

2(x - 2)

Three times the sum of the number and 3

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Now we can set them equal to each other and solve.

2(x - 2) = 3(x + 3) ----> Distribute

2x - 4 = 3x + 9 ------> Subtract 2x from both sides

-4 = x + 9 -----> Subtract 9 from both sides

-13 = x

3 0
3 years ago
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