Can anyone help me solve this extra cridit worksheet

Brian and Christina started keeping track of their workouts. Brian did 85 sit-ups the first week and 90 sit-ups each week after

IrinaK [193]

Brian-90×5+85=535

Christina-90×5+65=515

So after 5 weeks Brian will do 535 push ups and Christina will have done 515.

6 0

3 years ago

Volume and surface area are often compared by manufacturers in order to maximize how much of something can go inside of a packag

notka56 [123]

We have no dimensions to work with. I'll pick some and try and comply with the conditions of the problem.

Suppose you have an object that is 14 by 22 by 27 cm. These three numbers have no common factor so they cannot be reduced any further, which is helpful for this problem.

Find the Volume
Volume

l = 27 cm
w = 14 cm
h = 22 cm

V = 27 *14 * 22
V = 8316 cm^3

Find the surface area
SA = 2*l*w + 2*l*h + 2*w*h
SA = 2*27*14 + 2*27*22 + 2*14*22
SA = 756 + 1188 + 616
SA = 2558

Just looking at these numbers The surface area is about 1/3 of the volume. I don't think this is always true.

$\frac{SA}{V} = \frac{2*L*W + 2*L*H + 2*W*H}{L*W*H}$

Another way to do this is to consider a cube which might give you a more useful result.

s = L = W = H all three dimensions are equal in a cube.
The volume of a cube is s*s*s = s^3
The surface area of a cube is 2*s*s + 2*s*s + 2s*s = 6s^2

$\frac{SA_cube}{V_cube} = \frac{6s*s}{s*s*s}$
$\frac{SA}{V} = \frac{6}{s}$

That means whatever the side length, the Surface Area to volume = 6/the side length which is kind of an interesting result.

4 0

3 years ago

Which expression is equivalent to 2(3x + 4y + x)?

Elena L [17]

$\huge\textsf{Hey there!}$

$\large\text{2(3x + 4y + x)}$

$\large\textsf{DISTRIBUTE 2 WITHIN the PARENTHESES}$

$\large\text{2(3x) + 2(4y) + 2(x)}$

$\large\text{2(3x) = \boxed{\bf 6x }}$

$\large\text{6x + 2(4y) + 2(x)}$

$\large\text{2(4y) = \boxed{\bf 8y}}$

$\large\text{6x + 8y + 2(x)}$

$\large\text{2(x) = \boxed{\bf 2x}}$

$\large\text{6x + 8y + 2x}$

$\large\textsf{COMBINE the LIKE TERMS}$

$\large\text{(6x + 2x) + (8y)}$

$\large\text{6x + 2x = \boxed{\bf 8x}}$

$\large\text{8x + 8y}$

$\boxed{\boxed{\large\text{Answer: \huge \bf 8x + 8y}}}\huge\checkmark$

$\large\text{Good luck on your assignment and enjoy your day!}$

~ $\frak{Amphitrite1040:)}$

6 0

2 years ago

Simplify the rational expression. state any restrictions on the variable. n^4-11n^2+30/n^4-7n^2+10

Andrej [43]

For this case we have the following expression:
 $\frac{n ^ 4-11n ^ 2 + 30}{ n ^ 4-7n ^ 2 + 10} 

$
 We are going to make the following change of variables:
 $x = n ^ 2
$
Rewriting the expression we have:
 $\frac{(x ^ 2-11x + 30)}{(x ^ 2-7x + 10)} 

$
Factoring the expression we have:
 $\frac{(x-5) (x-6)}{(x-5) (x-6)} 
$
Canceling similar terms we have:
 $\frac{x-6}{x-2} 
$
Returning the change we have:
 $\frac{n ^ 2-6}{n ^ 2-2} 

$
 The resctrictions of the function are those that make the denominator equal to zero.
We have then:
 $n ^ 2-2 = 0

n = +/- \sqrt{2} 
$
 Answer:
The simplified expression is:
 $\frac{n ^ 2-6}{n ^ 2-2}$
The restrictions are:
 $n = \sqrt{2} 
$
$n = - \sqrt{2}$

7 0

3 years ago

A rectangle measures 15 2 inches by 4 3 inches. What is its area?

IRINA_888 [86]

Answer:

65.36

Step-by-step explanation:

15.2 x 4.3 = 65.36

4 0

2 years ago