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3 years ago

Use the following unit fractions to express 180 miles per hour in feet per second

Mathematics

2 answers:

harina [27]3 years ago

8 0

Answer:

264 ft/sec

Step-by-step explanation:

We need to use the conversion factors

5280 ft/ 1 mi, 60 min/ 1 hr , and 60 sec/1 min

180 miles 1 hour 1 min 5280 ft

----------------- * ----------------- * ------------ * ---------------

hour 60 minutes 60 sec 1 miles

The hours, minutes and miles cancel are we are left with ft/sec

180 *5280 ft

----------------- * -----------------

60*60 sec

264 ft/sec

Zolol [24]3 years ago

3 0

Answer:

264 ft/sec

Step-by-step explanation:

180 miles / hour

(180×5280) ÷ (1×60×60)

950400 ÷ 3600

264 ft/sec

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2 years ago

in the year 2012 a farmer harvested 144 bags of maize.the following year the harvest decreased in the ratio 3:4.What was the tot

Alex

Answer:

252 bags of maize

Step-by-step explanation:

From the question, we are told that a farmer harvested maize

In the year 2012 = 144 bags of maize

In the year 2013(following year) the harvest decreased in the ratio 3:4

This means

3:4 = 2013: 2012.

Where number of bags harvested in 2013 = unknown = x

3/4 = x/ 144

Cross multiply 4x = 3 × 144

x = 3 × 144/ 4

× = 108

This means 108 bags of maize was harvested in 2013

The total number of bags harvested is = 108 + 144

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3 years ago

Jace is a songwriter who collects royalties in his songs whenever they are played in a commercial or a movie. Jace will earn $50

VashaNatasha [74]

Jace's song were played on 8 commercials and 2 movies

<h3>Further explanation</h3>

Simultaneous Linear Equations could be solved by using several methods such as :

<em>Elimination Method</em>
<em>Substitution Method</em>
<em>Graph Method</em>

If we have two linear equations with 2 variables x and y , then we need to find the value of x and y that satisfying the two equations simultaneously.

Let us tackle the problem!

<em>Number of Commercials = C</em>

<em>Number of Movies = M</em>

$\texttt{ }$

<em>Jaces songs were played on 6 more commercials than movies.</em>

$\boxed{C = 6 + M}$ → <em>Equation 1</em>

$\texttt{ }$

<em>Jace will earn $50 every time one of his songs is played in a commercial and he will earn $140 every time one of his songs is played in a movie.</em>

<em>His total earnings in the royalties from all commercials and movies was $680.</em>

$\boxed{50C + 140M = 680}$ → <em>Equation 2</em>