All categories

3 years ago

Your friend owes her parents $100. She saves $25 every two weeks. Write an equation That illustrates this situation.

1 answer:

Nutka1998 [239]3 years ago

7 0

If you divide 100 by 25 you will get 4. Then you multiply 4 and 2, which will get you 8. So, it will take her 8 weeks to pay her parents.

You might be interested in

Please help...................

Kruka [31]

Sorry but I don’t understand that language... Just ask someone who knows answer... sorry...

7 0

3 years ago

A 2 × 3 rectangle is partitioned into 6 congruent numbered squares as shown. A single 1 × 2 rectangle is placed to cover exactly

Softa [21]

Answer:

Step-by-step explanation:

If you use your mouse or something to cover two of the squares at a time and then make tally marks then you should get 7. I'm not sure if i'm right though, so don't take my answer as the law or something like that.

8 0

3 years ago

A Norman window is a window with a semi-circle on top of regular rectangular window. (See the picture.) What should be the dimen

Vikki [24]

Answer:

bottom side (a) = 3.36 ft

lateral side (b) = 4.68 ft

Step-by-step explanation:

We have to maximize the area of the window, subject to a constraint in the perimeter of the window.

If we defined a as the bottom side, and b as the lateral side, we have the area defined as:

$A=A_r+A_c/2=a\cdot b+\dfrac{\pi r^2}{2}=ab+\dfrac{\pi}{2}\left (\dfrac{a}{2}\right)^2=ab+\dfrac{\pi a^2}{8}$

The restriction is that the perimeter have to be 12 ft at most:

$P=(a+2b)+\dfrac{\pi a}{2}=2b+a+(\dfrac{\pi}{2}) a=2b+(1+\dfrac{\pi}{2})a=12$

We can express b in function of a as:

$2b+(1+\dfrac{\pi}{2})a=12\\\\\\2b=12-(1+\dfrac{\pi}{2})a\\\\\\b=6-\left(\dfrac{1}{2}+\dfrac{\pi}{4}\right)a$

Then, the area become:

$A=ab+\dfrac{\pi a^2}{8}=a(6-\left(\dfrac{1}{2}+\dfrac{\pi}{4}\right)a)+\dfrac{\pi a^2}{8}\\\\\\A=6a-\left(\dfrac{1}{2}+\dfrac{\pi}{4}\right)a^2+\dfrac{\pi a^2}{8}\\\\\\A=6a-\left(\dfrac{1}{2}+\dfrac{\pi}{4}-\dfrac{\pi}{8}\right)a^2\\\\\\A=6a-\left(\dfrac{1}{2}+\dfrac{\pi}{8}\right)a^2$

To maximize the area, we derive and equal to zero:

$\dfrac{dA}{da}=6-2\left(\dfrac{1}{2}+\dfrac{\pi}{8}\right )a=0\\\\\\6-(1-\pi/4)a=0\\\\a=\dfrac{6}{(1+\pi/4)}\approx6/1.78\approx 3.36$

Then, b is:

$b=6-\left(\dfrac{1}{2}+\dfrac{\pi}{4}\right)a\\\\\\b=6-0.393*3.36=6-1.32\\\\b=4.68$

3 0

3 years ago

5u exponent 7 - 21u exponent 7<br><br> Simply

bagirrra123 [75]

Assuming the given is: 5u^7 - 21u^7
Since both algebraic terms are identical (both are using u^7), we can subtract the coefficients directly, as in: 5 - 21 = -16
Therefore, 5u^7 - 21u^7 = -16u^7

7 0

3 years ago

The high school band is selling wrapping paper. It costs $4 each week to advertise the wrapping paper. The band buys each roll o

Setler79 [48]

For this case, the first thing we must do is define variables:
x: rolls of wrapping paper in one week
We now write the equation that models the profit of the band.
We have then:
P (x) = (3.50 - 2) x - 4
P (x) = 1.50x - 4
Answer:
An equation to model the amount of profit, P, the band makes from x rolls of wrapping paper in one week is:
P (x) = 1.50x - 4

8 0

3 years ago