Someone help please!

Two canoes travel down a river, starting at 9:00 a.M. One canoe travels twice as fast as the other. After 4.5 hours, the canoes

Vedmedyk [2.9K]

Answer:

$v_1=3.33 \ miles/hour\\v_2=6.66 \ miles/hour$

Step-by-step explanation:

Constant Speed Motion

When the object travels the same distances in the same period of time, the speed is constant and is can be calculated as

$\displaystyle v=\frac{x}{t}$

where x is the distance and t is the time

There are two canoes traveling at speeds v1 and v2. One of them has twice the speed as the other. Let's say

$v_2=2v_1$

When t hours have passed, the canoes have traveled x1 and x2 respectively.

$x_1=v_1t$

$x_2=v_2t$

Since

$v_2=2v_1$

Then

$x_2=2v_1t$

The distance between them is

$X=x_2-x_1=2v_1t-v_1t$

$X=v_1t$

That distance is known and equals 11.25 miles, thus

$v_1t=15$

Solving for v1 and using t=4.5 hours

$\displaystyle v_1=\frac{15}{4.5}$

$v_1=3.33 \ miles/hour$

$v_2=2\times 3.33$

$\boxed{v_2=6.66 \ miles/hour}$

6 0

3 years ago

Find the additive inverse of 7/10

11111nata11111 [884]

$\huge\fbox{Hi~there!}$

Remember, a number's additive inverse is simply its opposite.

Let's say we have a number a.

The opposite of a is -a, and the opposite of -a is a.

Thus, the additive inverse of

$\displaystyle\frac{7}{10}$ is

$\displaystyle-\frac{7}{10}$

Hope it helps.

~Just a felicitous girl

#HaveAnAmazingDay

Feel free to ask if you have any doubts.

$\bf{-MistySparkles^**^*$

5 0

3 years ago

2 . 2 12n = 42 NEED HELP ASAP⬆️

Anni [7]

Answer:

6

—————

n + 8

Step-by-step explanation:

Step by Step Solution:

More Icon

STEP

1

:

Equation at the end of step 1

((12•(n3))-(24•(n2))) (12n-42)

—————————————————————•———————————————————

(((4•(n2))-22n)+28) ((6•(n3))+(24•3n2))

STEP

2

:

Equation at the end of step

2

:

((12•(n3))-(24•(n2))) (12n-42)

—————————————————————•——————————————————

(((4•(n2))-22n)+28) ((2•3n3)+(24•3n2))

STEP

3

:

12n - 42

Simplify ——————————

6n3 + 48n2

STEP

4

:

Pulling out like terms

4.1 Pull out like factors :

12n - 42 = 6 • (2n - 7)

STEP

5

:

Pulling out like terms

5.1 Pull out like factors :

6n3 + 48n2 = 6n2 • (n + 8)

Equation at the end of step

5

:

((12•(n3))-(24•(n2))) (2n-7)

—————————————————————•————————

(((4•(n2))-22n)+28) n2•(n+8)

STEP

6

:

Equation at the end of step

6

:

((12•(n3))-(24•(n2))) (2n-7)

—————————————————————•————————

((22n2-22n)+28) n2•(n+8)

STEP

7

:

Equation at the end of step

7

:

((12•(n3))-(23•3n2)) (2n-7)

————————————————————•————————

(4n2-22n+28) n2•(n+8)

STEP

8

:

Equation at the end of step

8

:

((22•3n3) - (23•3n2)) (2n - 7)

————————————————————— • ————————————

(4n2 - 22n + 28) n2 • (n + 8)

STEP

9

:

12n3 - 24n2

Simplify ——————————————

4n2 - 22n + 28

STEP

10

:

Pulling out like terms

10.1 Pull out like factors :

12n3 - 24n2 = 12n2 • (n - 2)

STEP

11

:

Pulling out like terms

11.1 Pull out like factors :

4n2 - 22n + 28 = 2 • (2n2 - 11n + 14)

Trying to factor by splitting the middle term

11.2 Factoring 2n2 - 11n + 14

The first term is, 2n2 its coefficient is 2 .

The middle term is, -11n its coefficient is -11 .

The last term, "the constant", is +14

Step-1 : Multiply the coefficient of the first term by the constant 2 • 14 = 28

Step-2 : Find two factors of 28 whose sum equals the coefficient of the middle term, which is -11 .

-28 + -1 = -29

-14 + -2 = -16

-7 + -4 = -11 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -7 and -4

2n2 - 7n - 4n - 14

Step-4 : Add up the first 2 terms, pulling out like factors :

n • (2n-7)

Add up the last 2 terms, pulling out common factors :

2 • (2n-7)

Step-5 : Add up the four terms of step 4 :

(n-2) • (2n-7)

Which is the desired factorization

Canceling Out :

11.3 Cancel out (n-2) which appears on both sides of the fraction line.

Equation at the end of step

11

:

6n2 (2n - 7)

—————— • ————————————

2n - 7 n2 • (n + 8)

STEP

12

:

Canceling Out

12.1 Cancel out (2n-7) which appears on both sides of the fraction line.

Canceling Out :

12.2 Canceling out n2 as it appears on both sides of the fraction line

Final result :

6

—————

n + 8

8 0

4 years ago

Michael cleans 90 cars in 5 days. How many cars does Michael clean per day?

maw [93]

Answer:

D

Step-by-step explanation:

Because 90/5=18

7 0

3 years ago

Read 2 more answers

What’s the value of x ?

elena55 [62]

Answer:

Step-by-step explanation:

the triangle with 9 as a side is a 45,45, 90 triangle. so there for x and 9 are congruent. Thus. x=9

5 0

3 years ago