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Alex73 [517]
1 year ago
5

Marguerite is building a box from strips of wood she needs 78 pieces of wood that are 29 cm long the wood comes in boards that a

re 6 m long how many boards will she need explain
Mathematics
1 answer:
Morgarella [4.7K]1 year ago
3 0
She bwill need 377 pices of wood hope this helps
You might be interested in
the daily production cost, c, for x units is modeled by the equation: c = 200 – 7x 0.345x2 explain how to find the domain and ra
jenyasd209 [6]
C(x) = 200 - 7x + 0.345x^2

Domain is the set of x-values (i.e. units produced) that are feasible. This is all the positive integer values + 0, in case that you only consider that can produce whole units.

Range is the set of possible results for c(x), i.e. possible costs.

You can derive this from the fact that c(x) is a parabole and you can draw it, for which you can find the vertex of the parabola, the roots, the y-intercept, the shape (it open upwards given that the cofficient of x^2 is positive). Also limit the costs to be positive.

You can substitute some values for x to help you, for example:

x      y
0    200
1    200 -7 +0.345 = 193.345
2    200 - 14 + .345 (4) = 187.38
3    200 - 21 + .345(9) = 182.105
4    200 - 28 + .345(16) = 177.52
5    200 - 35 + 0.345(25) = 173.625
6    200 - 42 + 0.345(36) = 170.42

10  200 - 70 + 0.345(100) =164.5
11 200 - 77 + 0.345(121) = 164.745
 
 
The functions does not have real roots, then the costs never decrease to 0.

The function starts at c(x) = 200, decreases until the vertex, (x =10, c=164.5) and starts to increase.

Then the range goes to 164.5 to infinity, limited to the solutcion for x = positive integers.

6 0
2 years ago
Read 2 more answers
the remains of an ancient ball court include a rectangular playing alley with a perimeter of about 48 M. the length of the alley
Firdavs [7]

Answer:

Length is 20 m and width is 4 m.

Step-by-step explanation:

Given:

Perimeter of the rectangular alley, P=48\textrm{ m}

Length is 5 times the width.

Let width be x.

So, as per question,

Length,l = 5x

Now, perimeter of rectangle is given as:

P=2(l+b)

Plug in 48 for P, 5x for l and x for b.

48=2(5x+x)\\48=2(6x)\\48=12x\\x=\frac{48}{12}=4

Therefore, width is 4 m.

Length is 5x=5\times 4=20 m.

8 0
2 years ago
Lisa's test grades are 79, 89, and 90. there will be one more test this year. if lisa wants her test average to be at least 88,
erik [133]
For this case, what we are going to do first is to assume that all the exams are worth the same percentage of the final grade.
 We have then that Lisa's average grade point equation is:
 88 =  \frac{79 + 89 + 90 + x}{4}
 Where,
 x: minimum note that lisa must obtain in the last exam.
 Clearing x we have:
 x = (88 * 4) - (79 + 89 + 90)

x = 94
 Answer:
 
the lowest grade she can get on her last test is:
 
x = 94
5 0
2 years ago
Adam is ordering pizza for a company party that he needs to have catered. Company A charges $8 for each pizza and a delivery/set
Wittaler [7]

Answer:

Inequality is  8x+45 < 12x+5 and value of x>10.

Step-by-step explanation:

Given : Adam is ordering pizza for a company party that he needs to have catered.

Company A charges $8 for each pizza and a delivery/set-up fee of $45. Company B charges $12 for each pizza and a delivery/set-up fee of $5.

To find : Which inequality can be used to find x, the least number of pizzas that can be ordered so that the total charge for Company A is less than the total charge for Company B?

Solution : Let x be the number of pizza

Company A charges $8 for each pizza and a delivery/set-up fee of $45.

Total charge of Company A is 8x+45

Company B charges $12 for each pizza and a delivery/set-up fee of $5.

Total charge of Company B is 12x+5

The total charge for Company A is less than the total charge for Company B

i.e, Inequality form  8x+45 < 12x+5

\Rightarrow 45-5< 12x-8x

\Rightarrow 40< 4x

\Rightarrow \frac{40}{4}< x

\Rightarrow 10< x

or x> 10

Therefore, Inequality is   8x+45 < 12x+5 and value of x>10.

5 0
1 year ago
The price of salmon at a Fish market is $5.40 per pound this is 150 percent of its price at the supermarket how much would it co
REY [17]
Fish market = $5.4
supermarket = 150% of $5.4
150% - - > 1.5
so the cost at the supermarket is 1.5*5.4=8.1.
8 0
2 years ago
Read 2 more answers
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