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rosijanka [135]
3 years ago
5

Distance. For a given speed, the distance traveled varies directly with the time. Kate's school is 5 miles away from her home an

d it takes her 10 minutes to reach
the school. If Josh lives 2 miles from school and travels at the same speed as Kate,
how long will it take him to reach the school?
Mathematics
1 answer:
Evgesh-ka [11]3 years ago
5 0

So here we need to use the formula: Distance = Rate * Time

So for Kate, 5 = r10, so rate = 1/2

Saying that Josh travels at the same speed, means he's traveling at the same rate

So for Josh, 2 = 1/2t, so time = 4 minutes

4 minutes

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4 years ago
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Answer:

c. \frac{1}{12n} = {[12n]}^{-1}

Step-by-step explanation:

[\frac{1}{4}][\frac{2}{5}][\frac{1}{2}][\frac{4}{7}][\frac{5}{8}][\frac{2}{3}][\frac{7}{n}] = \frac{560}{6720n} = [12n]^{-1} = \frac{1}{12n}

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* To make this simpler, reduce these two fractions in lowest terms.

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Step-by-step explanation:

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bija089 [108]

Answer:

x = - \frac{1}{2}, x = \frac{3}{2}

Step-by-step explanation:

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4x² - 4x - 3 = 0

Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term

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Use these factors to split the x- term

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(2x + 1)(2x - 3) = 0

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8 0
3 years ago
Simplify (2^5/3^2)^4 I need help asap within 10 min
Daniel [21]

Answer:

\frac{2^{20} }{3^{8} }

Step-by-step explanation:

Exponent Multiplication Rule :

(\frac{x^{a} }{y^{b} } )^{c} = \frac{x^{ac} }{y^{bc} }

=============================================================

Solving :

⇒ (\frac{2^{5} }{3^{2} } )^{4}

⇒ \frac{2^{5(4)} }{3^{2(4)} }

⇒ \frac{2^{20} }{3^{8} }

3 0
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