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2 years ago

5

Card 7 * Caleb can ride his bike 30 miles in 2 hours. At this rate, how long will it take him to ride 75 miles?

2 answers:

Alisiya [41]2 years ago

6 0

Answer:

5 Hours

Step-by-step explanation:

2 : 30 = 1 : 15

75 ÷ 15 = 5

BabaBlast [244]2 years ago

3 0

Answer:

5 hours

Step-by-step explanation:

30/2 = 15 miles per hour

75/15 = 5 hours

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How to solve this?<br>\int \frac { 4 - 3 x ^ { 2 } } { ( 3 x ^ { 2 } + 4 ) ^ { 2 } } d x

ivanzaharov [21]

$\Large \mathbb{SOLUTION:}$

$\begin{array}{l} \displaystyle \int \dfrac{4 - 3x^2}{(3x^2 + 4)^2} dx \\ \\ = \displaystyle \int \dfrac{4 - 3x^2}{x^2\left(3x + \dfrac{4}{x}\right)^2} dx \\ \\ = \displaystyle \int \dfrac{\dfrac{4}{x^2} - 3}{\left(3x + \dfrac{4}{x}\right)^2} dx \\ \\ \text{Let }u = 3x + \dfrac{4}{x} \implies du = \left(3 - \dfrac{4}{x^2}\right)\ dx \\ \\ \text{So the integral becomes} \\ \\ = \displaystyle -\int \dfrac{du}{u^2} \\ \\ = -\dfrac{u^{-2 + 1}}{-2 + 1} + C \\ \\ = \dfrac{1}{u} + C \\ \\ = \dfrac{1}{3x + \dfrac{4}{x}} + C \\ \\ = \boxed{\dfrac{x}{3x^2 + 4} + C}\end{array}$

5 0

3 years ago

An insect is 3 inches (in.) long. What is the length, to the nearest hundredth of a centimeter (cm), of the insect? Note: 1 inch

Serga [27]

Answer:

100

Step-by-step explanation:

because it is the nearist hundred and the closest hundred to 3 has to be 100

7 0

2 years ago

The number of sticks of gum varies directly as the number of packages. There are 36 sticks of gum in 2 packages. Suppose you hav

tangare [24]

Answer:

Each packet gives you 18 sticks of gum. If you asked how many in 5 packets it would be 90 sticks.

8 0

2 years ago

What is the solution for the equation 5/3b^3-2b-5=2/b3-2

irinina [24]

Answer:

Option C is correct.

Step-by-step explanation:

Given Equation:

$\frac{5}{3b^3-2b^2-5}=\frac{2}{b^3-2}$

To find: Solution of the Equation.

Consider,

$5(b^3-2)=2(3b^3-2b^2-5)$

$5b^3-10=6b^3-4b^2-10$

$6b^3-5b^3-4b^2+10-10=0$

$b^3-4b^2=0$

$b^2(b-4)=0$

b² = 0 ⇒ b = 0

b - 4 = 0 ⇒ b = 4

Therefore, Option C is correct.

7 0

2 years ago

Read 2 more answers

Six ounces is what percent of a pound?

baherus [9]

Answer:

37.5%

Step-by-step explanation:

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8 0

3 years ago