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3 years ago

Tyler runs 8 2/3 miles in 4/3 of an hour. How long does it take each of them to run 10 miles?

Mathematics

1 answer:

adelina 88 [10]3 years ago

7 0

Answer:

It takes Tyler 65 minutes to run 10 miles.

Step-by-step explanation:

First you have to figure out what Tyler's mph is, so you divide 8 2/3 by 4/3=6.5. Then you multiply by 10 get how long it takes him to run 10 miles.

(hope this helps!)

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How many lines are determind by two points

FromTheMoon [43]

Answer:

1 line is determined by 2 points.

Step-by-step explanation:

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4 years ago

Question 2 (2 points)

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Answer:

Step-by-step explanation:

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2 years ago

Find the minimum value of the function f(x)=x^2+5x-6

mash [69]

<h3><u>Explanation</u></h3>

Method 1 (Formula)

$\begin{cases}h = - \frac{b}{2a} \\ k = \frac{4ac - {b}^{2} }{2a} \end{cases}$

The vertex of Parabola is the maximum/minimum point depending on the value of a.

Find Vertex

<u>h-value</u>

$h = - \frac{5}{2(1)} \\ h = - \frac{5}{2}$

<u>k-value</u>

$k = \frac{4(1)( - 6) - {(5)}^{2} }{4(1)} \\ k = \frac{ - 24 - 25}{4} \\ k = \frac{ - 49}{4} \\ k = - \frac{49}{4}$

The minimum value is the value of k. Therefore the minimum value is - 49/4 at x = -5/2.

Method 2 (Derivative)

This is Calculus method. We simply differentiate the function then substitute y' = 0.

Differentiate Function

$f'(x) = 2 {x}^{2 - 1} + {5x}^{1 - 1} - 0 \\ f'(x) = 2x + 5$

Substitute f'(x) = 0

$0 = 2x + 5 \\ - 5 = 2x \\ - \frac{5}{2} = x$

Substitute x = -5/2 in the original equation.

$f(x) = {( - \frac{5}{2} )}^{2} + 5( - \frac{5}{2} ) - 6 \\ f(x) = \frac{25}{4} - \frac{25}{2} - 6 \\ f(x) = \frac{25}{4} - \frac{50}{4} - \frac{24}{4} \\ f(x) = \frac{25}{4} - \frac{74}{4} \\ f(x) = - \frac{49}{4}$

<h3><u>Answer</u><u /></h3>

<u> $\sf{the \: \: minimum \: \: value \: \: is \: \: - \frac{49}{4} \: \: at \: \: x = - \frac{5}{2} }$ </u>

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3 years ago

You need 4/5 cups of strawberriers to make 1 pie how much cups will u need to make 2 pies

Annette [7]

Answer:

1 $\frac{3}{5}$ cups of strawberries

Step-by-step explanation:

To find how much you will need for 2 pies, multiply 4/5 by 2:

4/5(2)

= 8/5

Simplify this to a mixed number:

= 1 $\frac{3}{5}$

So, you will need 1 $\frac{3}{5}$ cups of strawberries to make 2 pies

8 0

3 years ago

Read 2 more answers

Solve the equation algebraically -8(3y+5)=14

inysia [295]

Answer:

y = -2.25

Step-by-step explanation:

-8(3y+5) = 14

-8(3y+5)/-8 = 14/-8

3y+5 = -1.75

3y+5-5 = -1.75-5

3y = -6.75

3y/3 = -6.75/3

y = -2.25

6 0

3 years ago