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seropon [69]
2 years ago
9

You have 16 coins that are heads up and 18 coins that are tails up. After you add some coins that are tails up the ratio of head

s up to tails up is 1 to 1.5 how many coins are tails up? How many coins in all?
Mathematics
1 answer:
netineya [11]2 years ago
3 0
\frac{16}{18~+~x} ~=~  \frac{1}{1.5}

18 + x = 1.5 (16)

<span>18 + x = 24

x = 6

24 Tail
&
40 total coins</span>
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Approximate the following numbers to the nearest whole number
NeX [460]

Answer:

What are the options?

Step-by-step explanation:

6 0
3 years ago
A motorboat travels 165 kilometers in 3 hours going upstream and 510 kilometers in 6 hours going downstream. What is the rate of
nikitadnepr [17]
<h3>Rate of the boat in still water is 70 km/hr and rate of the current is 15 km/hr</h3><h3><u>Solution:</u></h3>

Given that,

A motorboat travels 165 kilometers in 3 hours going upstream and 510 kilometers in 6 hours going downstream

Therefore,

Upstream distance = 165 km

Upstream time = 3 hours

<h3><u>Find upstream speed:</u></h3>

speed = \frac{distance}{time}\\\\speed = \frac{165}{3}\\\\speed = 55

Thus upstream speed is 55 km per hour

Downstream distance = 510 km

Downstream time = 6 hours

<h3><u>Find downstream speed:</u></h3>

speed = \frac{510}{6}\\\\speed = 85

Thus downstream speed is 85 km per hour

<em><u>If the speed of a boat in still water is u km/hr and the speed of the stream is v km/hr, then</u></em>

Speed downstream = u + v km/hr

Speed upstream = u - v km/hr

Therefore,

u + v = 85 ----- eqn 1

u - v = 55 ----- eqn 2

Solve both

Add them

u + v + u - v = 85 + 55

2u = 140

u = 70

<em><u>Substitute u = 70 in eqn 1</u></em>

70 + v = 85

v = 85 - 70

v = 15

Thus rate of the boat in still water is 70 km/hr and rate of the current is 15 km/hr

3 0
3 years ago
#6 Could you explain this question to me?
ale4655 [162]

Answer:

If you are simplifying it would be 4 for number 6   . 9 would be 1/81  

Step-by-step explanation:

i can't see the whole piece of paper to see what you're actually doing , that would be more helpful .

4 0
3 years ago
Mary is 25 years old, and she owns her car, which she uses to drive to work. Her collision deductible is $100, and she does not
Vesnalui [34]

Answer:

B

Step-by-step explanation:

Hope that helps

6 0
2 years ago
Read 2 more answers
If sin x=2/9,x, in quadrant i, then find(without findingx): sin(2x), cos(2x), tan(2x)
Sergio039 [100]
We have that
<span>sin x=2/9

we know that
sin</span>² x+cos² x=1---------> cos² x=1-sin² x-----> cos² x=1-(2/9)²
cos² x=1-(4/81)------> (81-4)/81-----> 77/81
cos x=√(77/81)

Sin 2x = 2 sin x cos x-------> 2*(2/9)*(√(77/81))----> (4/81)*√77---> 0.43

Sin 2x=0.43
so
cos² 2x=1-sin² 2x---------> 1-[0.43]²-----> 1-[0.1878]----> 0.81
cos² 2x=0.81-----------> cos 2x=0.9

tan 2x=sin 2x/cos 2x--------> tan 2x=0.43/0.9---------> tan 2x=0.48

the answers are
sin 2x=0.43
cos 2x=0.9
tan 2x=0.48


8 0
3 years ago
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