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Zarrin [17]
2 years ago
12

Kwesi is putting on sunscreen. He uses 3ml to cover 45 cm2 ​​ of his skin. He wants to know how many milliliters of sunscreen g

he needs to cover 240 cm2 ​​of his skin. He assumes the relationship between milliliters of sunscreen and area is proportional.
Mathematics
2 answers:
bagirrra123 [75]2 years ago
6 0

Answer:

The answer is 16\ ml

Step-by-step explanation:

we know that

He uses 3\ ml to cover 45\ cm^{2} ​​ of his skin

so

by proportion

Find how many milliliters of sunscreen are needed to cover  240\ cm^{2}

\frac{3}{45}\frac{ml}{cm^{2}} =\frac{x}{240}\frac{ml}{cm^{2}} \\ \\x=240*3/45\\ \\ x= 16\ ml

Tanya [424]2 years ago
3 0
16 ml. If you set 3/45 = x/240 where x is the amount he needs for 240ml^2, then cross multiply and divide to find x you get 16
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Newjet, Inc. manufactures inkjet printers and laser printers. The company has the capacity to make 70 printers per day, and it h
Nuetrik [128]

Answer:

45 inkjet printers and 25 laser printers should be made to give maximum profit.

The maximum profit is $3750

Step-by-step explanation:

Let x be the no. of inkjet printers

Let y be the no. of laser printers

The company has the capacity to make 70 printers per day

So,x+y\leq 70---1

Time taken to make 1 inkjet printer = 1 hour

So, Time taken to make x inkjet printer = x hour

Time taken to make 1 laser printer = 3 hours

So, time taken to make y laser printers = 3y hours

It has 120 hours of labor per day available

So, x+3y\leq 120  ---2

The profits are $50 per inkjet printer and $60 per laser printer.

So, P=50x+60y

Where P is the profit function

Plot the lines 1 and 2 on the graph

x+y\leq 70

x+3y\leq 120

Such that the x\geq 0 , y\geq 0

Now the boundary points of feasible region are (0,40),(45,25) and (70,0)

Substitute the points in the profit function

At (0,40)

P=50x+60y

P=50(0)+60(40)

P=2400

At (45,25)

P=50x+60y

P=50(45)+60(25)

P=3750

At (70,0)

P=50x+60y

P=50(70)+60(0)

P=3500

So, we got the maximum profit at (45,25)

So, 45 inkjet printers and 25 laser printers should be made to give maximum profit.

The maximum profit is $3750

6 0
2 years ago
Please answer number #3 its my last question
DaniilM [7]

Answer:

b.) 2×8. 2+2+8+8

c.) 1×16. 1+1+16+16

3 0
3 years ago
Combine like terms to find the equivalent expression to6(58u+1)−6(−74u−5). PLEASEEEE HELPPP I NEEEDDD HELP
lbvjy [14]

Answer:

-36 • (22u + 1)

Pulling out like terms :

2.1     Pull out like factors :

  -74u - 5  =   -1 • (74u + 5)

Equation at the end of step  2  :

 (6 • (58u + 1)) -  -6 • (74u + 5)

Step  3  :

Equation at the end of step  3  :

 6 • (58u + 1) -  -6 • (74u + 5)

Step  4  :

Pulling out like terms :

4.1      Pull out     6

Note that  -6 =(-1)• 6

After pulling out, we are left with :

     6 • ( (-1)  *  (58u+1) +( (-1)  *  (74u+5) ))

Step  5  :

Pulling out like terms :

5.1     Pull out like factors :

  -132u - 6  =   -6 • (22u + 1)

Final result :

 -36 • (22u + 1)

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