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Keith_Richards [23]
3 years ago
6

At maximum speed an airplane travels 2100 miles against the wind in 6hrs. Flying with the wind the plane can travel the same dis

tance in 4hrs
Mathematics
1 answer:
WARRIOR [948]3 years ago
6 0
Let, the speed of Airplane = x
Speed of Wind = y

We know, Speed = Distance / Time

So, x-y = 2100 / 6
x-y = 350
& x+y = 2100/4
x+y = 525

Substitute value of x from equation 1 into 2, 
350+y+y = 525
2y = 525-350
y = 175/2
y = 87.5

& x = 350+y = 437.5

In short, Speed of Airplane is 437.5 mph and Wind is 87.5 mph

Hope this helps!
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Kim bought a hat. in California. The hat cost $15 before the 8% sales tax was applied. How much did Kim pay for the hat after ta
gizmo_the_mogwai [7]

Answer:

$16.2

Step-by-step explanation:

15 x .08 [wonder how i got .08? 8% = 0.8]

= 1.2

here's where most people mess up, they usually forget to add the tax to the original cost.

15 + 1.2=

$16.2

7 0
2 years ago
Can someone plz help me
Goshia [24]

Answer:

Your table might look something like this:

The dads steps:

3

6

9

12

15

18

Sons steps:

5

10

15

20

25

30

You can notice the pattern. If dad walks 3 steps, son walks 5. If dad walks another 3, son walks another 5. And so on. This means dad walks 12 steps when the sin walks 20 steps.

Step-by-step explanation:

The ratio is 3:5. This means dad wlaks 3 steps so son must walk 5 steps basically. So.......... You can now create the table. Y I just have to multiply or divide each side ( of the colon:) so. Whatever you do to one side, you do to the other side. If you x3 on one side, you do it to other. Same goes for division. In the 'table' I did above, I x2 to get 6 and 10. Then I took the 3 and the 5 again and timsed those by 3. You can also change the 6 and the 10. So:

3:5

Then x2

6:10

Then I take the top layer (you can either choose to change the top layer, or layer above as long as you do the same thing to each side. Remember, only x and ÷. No + or-.) and I x3

9:15

Then I could take 9 and 15 and x5

45:75

It's crazy that all these. Ratios mena the same thing! 45 steps from dad would take the son 75 steps. You can also divide the last ratio of 45:75 to find the one you started with, 3:5.

So you get the idea.

It is probably best to do what I did in the table in the answer part because I did a pattern. Take the top layer, and x2, then x3, then x4, ect. Rather then doing random things.

5 0
3 years ago
HELPPP PLEASEEE<br> g(t) = 6 - 1<br> g<br> -) = -7
DedPeter [7]

t is -1

g ( t ) = 6t-1

g (-1) = 6(-1)-1

= -6-1 = -7

6 0
2 years ago
a local parts shop buys a machine that costs $500,000. its value depreciates exponentially each year by 10%. what is the machine
jeka94
Hello!

Answer:

$295.295

Explanation:

Of the statement, we have that the price of the machine decreased 10% every year exponentially, so in the first year it real value drops to 90% of the costs. For 5 years, It can be expressed and simplified by the following equation:

We can't use that the percent drop as a percent itself, so we are going to divide 90% by 100%, and it will give us an entire number.

\frac{90}{100}=0,9 \\ \\ Value=Costs.(0.9)^{years}


By substituting we have:

Value=500000.(0.9)^{5}

Value: $295.245


Have a nice day!



8 0
2 years ago
Self-Check<br> Practice Exercise 4
ryzh [129]

Answer:

A= Congruent

B= Supplementary

C= Congruent

D= Congruent

E=Supplementary

Step-by-step explanation:

5 0
3 years ago
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