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sattari [20]
2 years ago
8

The length of a rectangular rug is 4 feet less than twice its width. The perimeter of the rug is 40 feet. Write a system of equa

tions that can be used to find the length, l, and width, w, of the rug, in feet.
Mathematics
1 answer:
Brrunno [24]2 years ago
6 0

Answer:

Step-by-step explanation:

L=2W-4

40=2L+2W

The first equation uses the information that the length of a rectangular rug is 4 feet less than twice its width.

The second equation is using your standard perimeter equation of 2L+2W=perimeter of a rectangle.

Hope this is helpful :)

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The average density of Styrofoam is 1.00 kg/m^3. If a Styrofoam cooler is made with outside dimensions of 50.0 x 35.0 x 30.0 cm
Nadusha1986 [10]

Answer:

View graph

Step-by-step explanation:

The closest by default to 1100 cubic inches is taking two side and two front covers and that would give you 1080.12 cubic inches since two of the covers you must subtract 3 cm per side and side which would add 6 cm in total so outside would be 35 cm and indoor 29 cm . According the graph

29*50*3= 4350 * 2 lid = 8700 cm3

30*50*3= 4500*2 lid = 9000 cm3

So 8700+9000 = 17700 cm3 to inches 3 = 1080.12 cm3

5 0
2 years ago
A study of immunizations among school‑age children in California found that some areas had rates of unvaccinated school‑age chil
Rom4ik [11]

Answer:

Probability that none of the 20 children in such a classroom would be unvaccinated is 0.055.

Step-by-step explanation:

We are given that a classroom of 20 children in one such area where 13.5% of children are unvaccinated.

If there are no siblings in the classroom, we are willing to consider the vaccination status of the 2020 unrelated children to be independent.

The above situation can be represented through binomial distribution;

P(X=r) = \binom{n}{r} \times p^{r} \times (1-p)^{n-r} ; x = 0,1,2,3,......

where, n = number of trials (samples) taken = 20 children

            r = number of success = none of the 20 children

            p = probability of success which in our case is probability that

                   children are unvaccinated, i.e; p = 13.5%

<u><em>Let X = Number of children that are unvaccinated</em></u>

So, X ~ Binom(n = 20, p = 0.135)

Now, Probability that none of the 20 children in such a classroom would be unvaccinated is given by = P(X = 0)

           P(X = 0)  =  \binom{20}{0} \times 0.135^{0} \times (1-0.135)^{20-0}

                          =  1\times 1 \times 0.865^{20}

                          =  0.055

<em>Hence, the probability that none of the 20 children in such a classroom would be unvaccinated is 0.055.</em>

8 0
2 years ago
Hillel is juggling flaming torches to raise money for charity. His initial appearance raises \$500$500dollar sign, 500, and he r
Svetlanka [38]

Answer:

$R = $500 + $15(t)

Step-by-step explanation:

in this question, we are told to give a mathematical expression that would model the amount of money that is made by Hillel.

from the question, we were made to understand that the amount of money he makes is a front of his time t. that is noted.

and also, he has a base cost of $500.

now, let’s write an equation;

R = $500 + 15(t)

where t represents the length of the performance as suggested by women

3 0
2 years ago
7. You and a friend are paid $38.25 for doing yard
nata0808 [166]

Answer:

Step-by-step explanation: your friend would get 17$

and you would get 21.25

hope this helpsss ;))))

8 0
2 years ago
Read 2 more answers
Kiran has 27 nickels and quarters in his pocket, worth a total of $2.75.
Montano1993 [528]

The system of equations is

n + d = 27

n + 5d = 55

Step-by-step explanation:

The given is:

  • Kiran has 27 nickels and quarters in his pocket
  • They worth a total of $2.75
  • We need to write a system of equations to represent the relationships between the number  of nickels n, the number of quarters d, and the dollar amount in this situation

∵ The number of nickles is n

∵ The number of quarters is d

∵ There are 27 nickles and quarters

∴ n + d = 27 ⇒ (1)

∵ 1 nickel = 5 cents

∵ 1 quarter = 25 cents

- Multiply n by 5 and d by 25 to find their value

∴ They worth = 5n + 25d

∵ They worth a total of $2.75

- Chang the dollar to cent

∵ 1 dollar = 100 cents

∴ $2.75 = 2.75 × 100 = 275 cents

- Equate their value by 275

∴ 5n + 25d = 275

- Simplify it by divide each term by 5

∴ n + 5d = 55 ⇒ (2)

The system of equations is

n + d = 27

n + 5d = 55

Learn more:

You can learn more about the system of equations in brainly.com/question/2115716

#LearnwithBrainly

5 0
2 years ago
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