1. A person runs 2 1/4 miles in 1/2 hour. What is the miles per hour?

Mathematics

1 answer:

nataly862011 [7]3 years ago

7 0

4.5 mph (aka 4 and 1/2 mph)

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Find the 59th term of the following arithmetic sequence. 15, 23, 31, 39

m_a_m_a [10]

$15~~,~~\stackrel{15+8}{23}~~,~~\stackrel{23+8}{31}~~,~~\stackrel{31+8}{39}~~,~~...~\hspace{10em}\stackrel{common~difference}{d=8} \\\\[-0.35em] ~\dotfill\\\\ n^{th}\textit{ term of an arithmetic sequence} \\\\ a_n=a_1+(n-1)d\qquad \begin{cases} a_n=n^{th}\ term\\ n=\stackrel{\textit{term position}}{59}\\ a_1=\stackrel{\textit{first term}}{15}\\ d=\stackrel{\textit{common difference}}{8} \end{cases} \\\\\\ a_{59}=15+(59-1)8\implies a_{59}=15+472-8\implies a_{59}=479$

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2 years ago

What's 36% as an irreducible fraction? Choices: 4/25 17/25 9/25 11/37

masha68 [24]

36% = 36/100 divide both numerator and denominator by 4 gives you 9/25

8 0

2 years ago

Read 2 more answers

60 is 30% of what number?

Phantasy [73]

Percent means parts out of 100
30%=30/100=3/10

'of' means multiply

60 is 30% of what translates to
60=3/10 times what
multiply both sides by 10/3
600/3=what
200=what
the number is 200

7 0

2 years ago

A farmer has both pigs and chickens on his farm there are 78 fee and 27 heads how many pigs and how many chickens are there

Andre45 [30]

Assuming health non-mutated animals:
$Feet = 4*Pigs + 2*Chickens$
$Heads = Pigs + Chickens$

By back substitution:
$78 = 4*(27-Chickens) + 2*Chickens$
$78 = 108 -2*Chickens$
$-30 = -2*Chickens$
$Chickens= 15$

Then:
$27 = Pigs + 15$
$Pigs = 12$

To check:
$Feet = 4*Pigs + 2*Chickens$
$78 = 4*12 + 2*15$
$78 = 48 + 30$
$78 = 78$ CHECKS

6 0

3 years ago

You charge people $10 per hour to pick fruits and $8 per hour

Aleks04 [339]

Fruits :
Y=10(h)

Flowers;
Y=8(h)

Given: h=6

Fruits:
10(6) = $60

Flowers:
8(6)= $48

Back to the question, how much more from picking fruits?

$60 - $48 = $12 more picking fruits.

Hope this helps!

8 0

3 years ago