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Serga [27]
2 years ago
6

A party of 6 people costs Nicola £73 in materials, tuition time, firing costs and overhead. How much does she need to charge per

person to cover all expenses and her profit?
Mathematics
1 answer:
Nimfa-mama [501]2 years ago
7 0
Hi miss you did not mark you thank you for asking me thank
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A walkway forms one diagonal of a square playground. the walkway is 16 m long. how long is a side of the​ playground?
prohojiy [21]

Side of the playground would be : a²+a² = 16²

2a² = 256

a² = 128

a = √128

a = 11.31 m

3 0
3 years ago
Read 2 more answers
If an area of a rectangle with width x can be represented with the expression A(x)=x(14-x), what is the perimeter of the rectang
AlekseyPX
To solve for the perimeter first figure out the length and width from the formula of area for the rectangle
A = LxW
A = (14-X)•X
L = (14-X)
W = X
P = 2L + 2W
P = 2(14-X) + 2(X)
P = 28 - 2X + 2X
P = 28.
The perimeter of the rectangle is A. 28.
6 0
3 years ago
77. the volume of a cube is increasing at a rate of <img src="https://tex.z-dn.net/?f=10%20%5Cmathrm%7B~cm%7D%5E%7B3%7D%20%2F%20
Colt1911 [192]

Answer:

\displaystyle \frac{4}{3}\text{cm}^2/\text{min}

Step-by-step explanation:

<u>Given</u>

<u />\displaystyle \frac{dV}{dt}=10\:\text{cm}^3/\text{min}\\ \\V=s^3\\\\SA=6s^2\\\\\frac{d(SA)}{dt}=?}\:;s=30\text{cm}

<u>Solution</u>

(1) Find the rate of the cube's edge length with respect to time at s=30:

\displaystyle V=s^3\\\\\frac{dV}{dt}=3s^2\frac{ds}{dt}\\ \\10=3(30)^2\frac{ds}{dt}\\ \\10=3(900)\frac{ds}{dt}\\\\10=2700\frac{ds}{dt}\\\\\frac{10}{2700}=\frac{ds}{dt}\\\\\frac{ds}{dt}=\frac{1}{270}\text{cm}/\text{min}

(2) Find the rate of the cube's surface area with respect to time at s=30:

\displaystyle SA=6s^2\\\\\frac{d(SA)}{dt}=12s\frac{ds}{dt}\\ \\\frac{d(SA)}{dt}=12(30)\biggr(\frac{1}{270}\biggr)\\\\\frac{d(SA)}{dt}=\frac{360}{270}\biggr\\\\\frac{d(SA)}{dt}=\frac{4}{3}\text{cm}^2/\text{min}

Therefore, the surface area increases when the length of an edge is 30 cm at a rate of \displaystyle \frac{4}{3}\text{cm}^2/\text{min}.

6 0
2 years ago
You need $20,000 to make a down payment on a house. Your beginning balance in your checking account this month was $5,678. Your
Shalnov [3]

Answer:

A

Step-by-step explanation:

3 0
3 years ago
Plz answer 7-12!!!!!!!!!!!!!!!
san4es73 [151]

Answer:

7: is 20+8a

8: is 8w+48

9: is 4a+12b

10: is 35y-21z

11: is 44a-33

12: is 3xy+4x

but give imbadatmathh the points

Step-by-step explanation:

hope this helps

8 0
2 years ago
Read 2 more answers
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