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3 years ago

(a) Boris runs 4 miles in 38 minutes. How many miles does he run per minute?

Mathematics

1 answer:

Eva8 [605]3 years ago

5 0

(a) 0.105 miles per minute
(b) $4.4 an hour

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If I am in Vermont, then I am in the North.

raketka [301]

The correct answer is D.

This is because a converse statement switches the places of the hypothesis and conclusion.

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3 years ago

Find ML, JK=3x+11, ML=10x-12, NP=45

tigry1 [53]

Answer:

$ML = 58$

Step-by-step explanation:

Given

$JK=3x+11, ML=10x-12, NP=45$

See attachment

Required

Length ML

First, calculate x using the following equivalent ratios

$JK : NP = NP : ML$

Express as fraction

$\frac{JK }{ NP} = \frac{NP }{ ML}$

Cross Multiply

$JK * ML = NP * NP$

Substitute values:

$(3x +11) * (10x - 12) = 45 * 45$

Expand

$30x^2 - 36x + 110x - 132 = 2025$

$30x^2 +74x - 132 = 2025$

Collect like terms

$30x^2 +74x - 132 - 2025=0$

$30x^2 +74x -2157=0$

Using a calculator:

$x \approx -10$ and $x \approx 7$

Given that:

$ML=10x-12$

Substitute values for x

$ML=10*-10-12 = -100 - 12 = -112$

$ML=10*7-12 = 70 - 12 = 58$

ML cannot be negative; So:

$ML = 58$

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3 years ago

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denis-greek [22]

Answer: B

Step-by-step explanation:

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3 years ago

What choices are solutions for equation x^2-3x = -5/4

Kryger [21]

Here's the solution,

=》

${x}^{2} - 3x = - \dfrac{5}{4}$

=》

${x}^{2} - 3x + \dfrac{5}{4} = 0$

now, let's multiply the whole equation with 4

=》

$4 {x}^{2} - 12x + 5 = 0$

=》

$4 {x}^{2} - 10x - 2x + 5= 0$

=》

$2x(2x - 5) - 1(2x - 5) = 0$

=》

$(2x - 1)(2x - 5) = 0$

so,

Case 1. where, 2x - 5 = 0

=》

$x = \dfrac{5}{2}$

case 2. where, 2x - 1 = 0

=》

$x = \dfrac{1}{2}$

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3 years ago

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kykrilka [37]

Answer:

Step-by-step explanation:

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