Factor this polynomial -3x^2-16x-5

A kangaroo hopped \dfrac13 3 1 ? of the distance to the lake with her baby in her pouch. She hopped the remaining 70407040 yards

kogti [31]

Answer:

6 miles.

Step-by-step explanation:

Let x be the total distance hoped by Kangaroo to the lake.

We have been given that a kangaroo hopped 1/3 of the distance to the lake with her baby in her pouch.

She hopped the remaining 7040 yards without her baby in her pouch. This means that 2/3 of total distance (x) is 7040. We can represent this information in an equation as:

$\frac{2}{3}*x=7040$

Let us solve for x by multiplying both sides of our equation by 3/2.

$\frac{3}{2}*\frac{2}{3}*x=\frac{3}{2}*7040$

$x=3*3520$

$x=10560$

Therefore, the total distance hoped by the kangaroo is 10560 yards.

1 mile = 1760 yards

Let us convert this distance in miles by dividing 10560 yards by 1760.

$\text{The kangaroo hoped}=\frac{10560\text{ yards}}{\frac{1760\text{ yards}}{\text{Mile}}}$

$\text{The kangaroo hoped}=\frac{10560\text{ yards}}{1760}\times \frac{\text{ Mile}}{\text{ yards}}$

$\text{The kangaroo hoped}=\frac{10560}{1760}\times\text{ Mile}$

$\text{The kangaroo hoped}=6\text{ Miles}$

Therefore, the kangaroo hoped 6 miles to the lake.

3 0

3 years ago

Use rounding to estimate the product 12*9. Then, use compensation to find the actual answer. If Alison was rounding to find how

anzhelika [568]

I would do 12 x 10 = 120
to compensate do 120 - 12 =108 same as 12*9 = 108

The estimate is decent, because we are only $12.00 from the real answer.

5 0

3 years ago

Keith mows lawns and it takes him 6 hours to mow 4 lawns. How many lawns could be mowed in 32 hours?

Alexeev081 [22]

Answer:

Step-by-step explanation:

If it takes Keith 6 hours to mow 4 lawns, you can find how many lawns he can mow in 32 hours by dividing 32 by 6 and then multiplying the answer by 4. 32/6= ~5.33. This means that since 32 hours is 5.33 times longer than 6 hours, he can mow 5.33 times more lawns. So 5.33*4 = <u>21.33 lawns in 32 hours!</u>

7 0

3 years ago

Read 2 more answers

If f(x)=2x-6 and g(x)=x^3 what is (g f)(0)

marin [14]

ANSWER

$(g \circ \: f)(0) = - 216$