All categories

2 years ago

In April, Phillipa rode

Mathematics

1 answer:

mina [271]2 years ago

8 0

Answer:

Month 1: she rode 33.3 miles

Month 2: she rode 16.65 miles

Month 3: She rode 133.2 miles

meaning in Month 3 she rode about 4 times more then month one and about 8 times more then she did in month 2

Step-by-step explanation:

You might be interested in

A square has a side length of 6x+2. a rectangle with width 3x+1 has the same area as the square. what is the length of the recta

deff fn [24]

Answer:

Step-by-step explanation:

(6x+2)/(3x+1) = 2

3 0

2 years ago

Question 1,2, and 3 how do i factor those? Can you show the work and explain how?

DiKsa [7]

1: $3n^{2}+9n+6$

notice that each part is divisible by 3

$3n^{2}$ ÷ 3 = $n^{2}$

9n ÷ 3 = 3n

6 ÷ 3 = 2

so it becomes $3(n^{2} +3n+2)$

3n can be rewritten as 2n+n

-you want to rewrite it into two numbers that multiply to the number that's alone (in this case 2)

which would get you

$3(n^{2} +2n+n+2)$

Now that it's rewritten, you can factor out n + 2 from the equation.

the answer is

3(n+2)(n+1)

And you can check that by multiplying (n+2)(n+1) which is $n^{2} +2n+n+2$ and then each of those by 3, which is $3n^{2} +6n+3n+6$ or $3n^{2}+9n+6$ , our origional equation

2: $28+x^{2} -11x$

So I rewrote this as $x^{2} -11x+28$ (it's the same thing, just reordered using the commutative property)

now -11x can be rewritten as -4x-7x

(remember, the two numbers should multiply to equal 28, which is our constant.)

$x^{2} -4x-7x+28$

now we can factor out x from the first expression and -7 from the second

$x(x-4)-7(x-4)$

and lastly you factor out x-4,

which would give you

(x-4)(x-7)

Make sure to check your work and make sure it multiplies to $x^{2} -11x+28$

3: $9x^{2} -12x+4$

The first thing I notice when looking at this problem is that both 9 and 4 are perfect squares. Not only that, but they are the squares of 2 and 3, which are products of -12

So if you rewrite 9 as $3^{2}$ and 4 as $2^{2}$ , the equation becomes

$3^{2} x^{2} -12x+2^{2}$

now that $3^{2} x^{2}$ is ugly so it can be turned into $(3x)^{2}$

and -12x can be rewritten as $-2*3x*2$

so our equation now looks like $(3x)^2-2*3x*2+2^{2}$

There's a rule that says $a^{2} -2ab+b^{2} = (a-b)^{2}$

In our case, a=3x and b=2

so the final answer is

$(3x-2)^2$

5 0

1 year ago

List the following objects in order from lowest inertia to highest inertia: Earth, desk, baseball, fork, house, feather,

kirill115 [55]

Answer:

Feather, fork, baseball, desk, cow, tow truck, house, Earth, Sun

Step-by-step explanation:

The bigger the object, the more inertia it has, since it's harder to move a bigger object. So, since a feather is the smallest thing with the least amount mass, it should be the easiest to move, giving it the least amount of inertia. It's the opposite for the Sun, since it's the biggest object on the list.

3 0

2 years ago

6. Complete the two-column proof.

olya-2409 [2.1K]

Answer:

Given: $\frac{x}{6} + 2 = 15$ ......[1]