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3 years ago

Write a ratio value comparing 3 to a number, where the value of the ratio is greater than 3:5.

Mathematics

1 answer:

SOVA2 [1]3 years ago

7 0

6:10 I believe that this is right

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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

2 years ago

What value for C will make the expression a perfect square trinomial x2-7x+c

Tom [10]

Answer:

The value of c is 12.25

Step-by-step explanation:

we know that

A perfect square trinomial is of the form

$(x-a)^{2}=x^{2}-2ax+a^{2}$

In this problem we have

$x^{2}-7x+c$

equate the equations

$x^{2}-7x+c=x^{2}-2ax+a^{2}$

we have

the following equations

$-7x=-2ax$ -----> equation A

and

$c=a^{2}$ -----> equation B

Solve the equation A

$-7x=-2ax$

$7=2a$

$a=3.5$

Solve the equation B

$c=a^{2}$

$c=3.5^{2}=12.25$

therefore

$(x-3.5)^{2}=x^{2}-7x+12.25$

The value of c is 12.25

7 0

2 years ago

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William went shopping for a new phone because of a sale. The store was offering a 15% discount. If the price on the tag was $41,

Alik [6]

Answer:

*WILLIAM AFTON*

Real Answer:

38 dollars and 11 cents.

3 0

2 years ago

a. If a rabbit can move 7/5 miles every hour, then how many hours would it take for a rabbit to go 7 miles?

sergeinik [125]

5 hours because 7/5 *5/1=35/5 and 35 divided by 5 equals 7

3 0

3 years ago

5x² + 14x + 8 = (5x + 4)) Solve for ()

scoray [572]

Answer:

2(2.5x+2)

Step-by-step explanation:

you do distributive property

4 0

2 years ago

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