Ask question

Ask question

All categories

3 years ago

10

A plane flies 1225 miles with the wind in the same time it can fly 1100 miles into the wind. The speed of the plane in still air

is 575 miles per hour. Which equation would you use to find the speed of the wind?

1 answer:

iogann1982 [59]3 years ago

8 0

Answer:

Step-by-step explanation:

v=d/t, t=d/v, since t=t

1225/(v+w)=1100/(v-w)

1225v-1225w=1100v+1100w

2325w=125v

w=125v/2325, given v=575

w=125(575)/2325

w=30.91 mph

You might be interested in

The ratio of the girls to the total number of students in class is 47 how many students are girls in the class has 21 students a

Airida [17]

You can cross multiply to get 4 * 21 = 7x

84 = 7x; divide both sides by 7

12 = x so the number 12 will go in the blank (12 girls)

4 0

4 years ago

Read 2 more answers

Pam and Erin are both planting gardens for their backyards. They want their gardens to be proportional. If pams garden has a len

Simora [160]

Step-by-step explanation:

Pam and Erin want the gardens to be proportional.

<em>proprtional</em><em>-</em><em> </em><em>equal</em><em> </em>

Pams garden has a length of 16 and width of 12. To find the area of Pam's garden multiply the length by the width.

<em>16</em><em>×</em><em>12</em><em>=</em><em> </em><em>192</em><em> </em>

Now that we know the area of Pam's garden, we can set up and equation for Erin's garden. Since they have to be equal we know that Erin's garden should equal 192. Thus we solve for the length by dividing the width from the total.

<em>192</em><em>÷</em><em>21</em><em>=</em><em>9.14</em>

8 0

3 years ago

Please answer 7 and 8, thank you guys for helping! <3

elena-14-01-66 [18.8K]

7: since they went down further you go further from zero: -28-40=-68 or D.
8: they lost 6 and then 8 so 6+8=14 but they lost them so -14 or A :)

6 0

4 years ago

Read 2 more answers

HELP!!! answer quickly pls

Mumz [18]

Answer:

The first one B

Step by step explanation:

B is (2,4) then do 2+1 which is 3 and then 4 -3 which is 1 and your left with (3,1) which is point B

4 0

3 years ago

Simplify: [5×(25)^n+1 - 25 × (5)^2n]/[5×(5)^2n+3 - (25)^n+1]

blagie [28]

$\green{\large\underline{\sf{Solution-}}}$

<u>Given expression is </u>

$\rm :\longmapsto\:\dfrac{5 \times {25}^{n + 1} - 25 \times {5}^{2n} }{5 \times {5}^{2n + 3} - {25}^{n + 1} }$

can be rewritten as

$\rm \: = \: \dfrac{5 \times { {(5}^{2} )}^{n + 1} - {5}^{2} \times {5}^{2n} }{5 \times {5}^{2n + 3} - {( {5}^{2} )}^{n + 1} }$

We know,

$\purple{\rm :\longmapsto\:\boxed{\tt{ {( {x}^{m} )}^{n} \: = \: {x}^{mn}}}} \\$

And

$\purple{\rm :\longmapsto\:\boxed{\tt{ \: \: {x}^{m} \times {x}^{n} = {x}^{m + n} \: }}} \\$

So, using this identity, we

$\rm \: = \: \dfrac{5 \times {5}^{2n + 2} - {5}^{2n + 2} }{{5}^{2n + 3 + 1} - {5}^{2n + 2} }$

$\rm \: = \: \dfrac{{5}^{2n + 2 + 1} - {5}^{2n + 2} }{{5}^{2n + 4} - {5}^{2n + 2} }$

can be further rewritten as

$\rm \: = \: \dfrac{{5}^{2n + 2 + 1} - {5}^{2n + 2} }{{5}^{2n + 2 + 2} - {5}^{2n + 2} }$

$\rm \: = \: \dfrac{ {5}^{2n + 2} (5 - 1)}{ {5}^{2n + 2} ( {5}^{2} - 1)}$

$\rm \: = \: \dfrac{4}{25 - 1}$

$\rm \: = \: \dfrac{4}{24}$

$\rm \: = \: \dfrac{1}{6}$

<u>Hence, </u>

$\rm :\longmapsto\:\boxed{\tt{ \dfrac{5 \times {25}^{n + 1} - 25 \times {5}^{2n} }{5 \times {5}^{2n + 3} - {25}^{n + 1} } = \frac{1}{6} }}$

3 0

3 years ago