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3 years ago

If Kathy walks 3 miles in 80 minutes how far will she in 120 minutes

Mathematics

1 answer:

zepelin [54]3 years ago

8 0

Answer:

4.5 miles

Step-by-step explanation:

We can use a ratio to solve

3 miles x miles

--------------- = ----------------

80 minutes 120 minutes

Using cross products

3 * 120 = 80x

Divide each side by 80

360/80 = 80x/80

4.5 =x

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Let R(x), C(x), and P(x) be, respectively, the revenue, cost, and profit, in dollars, from the production and sale of x it

sp2606 [1]

Answer:

$P(x) = -0.004x^2 - 3.7x - 50$

Step-by-step explanation:

We have to find profit $P(x)$ .

This can be easily found using a formula for Profit given the Revenue and Cost.

$Profit = Revenue - Cost$

$P(x) = R(x) - C(x)$

Given that:

$R(x) = 6x$

$C(x) = 0.004x^2 + 2.3x + 50$

to find P(x) we can simply subtract R(x) by C(x).

$P(x) = R(x) - C(x)$

$P(x) = (6x) - (0.004x^2 + 2.3x + 50)$

$P(x) = 6x - 0.004x^2 - 2.3x - 50$

and finally, after simplify this equation subtracting 6x by 2.3x.

this is the equation for the profit $P(x)$

$P(x) = -0.004x^2 - 3.7x - 50$

3 0

3 years ago

Write using exponents 4x4x4x4x4x4x44x4x4x4x4x4x4

Svetradugi [14.3K]

Answer:

184,549,376

Step-by-step explanation:

3 0

3 years ago

PLEASE HELP!!!PLEASE HELP!!!PLEASE HELP!!!PLEASE HELP!!!PLEASE HELP!!!PLEASE HELP!!!

hjlf

Answer:

Step-by-step explanation:

3 0

3 years ago

Can u pls help me with this question

Shalnov [3]

Answer:

A, C, D

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

I’m stuck can some one help me

abruzzese [7]

Answer:

3) Midpoint is (-4,0.5)

Option A is correct.

4) Midpoint is (2.5,0)

Option B is correct.

5) The factors are (x+4)(x-7)

Option C is correct.

6) The factors are (x+4)(x+2)

Option A is correct.

Step-by-step explanation:

Question 3

Find midpoint of the following:

(2,-7), (-10,8)

The formula used to find midpoint is: $Midpoint=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} )$

We have $x_1=2, y_1=-7, x_2=-10,y_2=8$

Putting values and finding midpoint

$Midpoint=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} )\\Midpoint=(\frac{2-10}{2},\frac{-7+8}{2} )\\Midpoint=(\frac{-8}{2},\frac{1}{2} )\\Midpoint=(-4,0.5 )$

So, Midpoint is (-4,0.5)

Option A is correct.

Question 4

Find midpoint of the following:

(2,-10), (3,10)

The formula used to find midpoint is: $Midpoint=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} )$

We have $x_1=2, y_1=-10, x_2=3,y_2=10$

Putting values and finding midpoint

$Midpoint=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} )\\Midpoint=(\frac{2+3}{2},\frac{-10+10}{2} )\\Midpoint=(\frac{5}{2},\frac{0}{2} )\\Midpoint=(2.5,0 )$

So, Midpoint is (2.5,0)

Option B is correct.

Question 5

Factor each completely

$x^2-3x-28$

We will break the middle term and find factors

$x^2-3x-28\\=x^2-7x+4x-28\\Taking\:common\\=x(x-7)+4(x-7)\\=(x+4)(x-7)$

So, the factors are (x+4)(x-7)

Option C is correct.

Question 6

Factor each completely

$x^2+6x+8$

We will break the middle term and find factors

$x^2+6x+8\\=x^2+4x+2x+8\\=x(x+4)+2(x+4)\\=(x+4)(x+2)$

So, the factors are (x+4)(x+2)

Option A is correct.

7 0

3 years ago