MATHEMATICS HIGH SCHOOL

The area of a rectangular room is 750 square feet. The width of the room is 5 feet less than the length of the room.

Answers

Answer 1
Answer:

Answer: Length of room = 30 feet

Width of room = 30-5 = 25 feet

Step-by-step explanation:

Let the length of room be l

Let the breadth of room be l-5

Area of rectangular room = 750 sq. feet

As we know the formula for "Area of rectangle ":

Area=Length* breadth\n\n750=l(l-5)\n\n750=l^2-5l\n\nl^2-5l-750=0\n\n\text{By split the middle term}\n\nl^2-30l+25l-750=0\n\nl(l-30)+25(l-30)=0\n\n(l-30)(l+25)=0\n\nl=30,-25\n\n\text{Negative get discarded}\n\nLength=30\ feet

So, Length of room = 30 feet

Width of room = 30-5= 25 feet
Answer 2
Answer: The area is length times width. Therefore, your length is 30 and the width is 25. The width (25) is 5 less than the length (30). 30 times 25 is 750.

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Which measurement is most accurate to describe the weight of a quarter?630 g
63 mg
6.3 g
0.63 kg

Answers

Answer: 6.3 g

Step-by-step explanation:

First, we need to put every mesure into the same unit. Let's put all into grams.

- kg would be too heavy for a quarter (consider that we use kg to weight people, for example)

- mg is too light (consider that we use mg to weight pills, for example)

We know that

1 kg = 1000 g

1 g = 1000 mg

630 g = 630 g

63 mg  = 63/1000 = 0.063 g

6.3 g  = 6.3 g

0.63 kg = 0.63*1000 = 630 g

The most suitable answer for a quarter is 6.3g, because 630 g would be too heavy and 0.063 g would be too light.
63 mg it is the smallest measurement listed.

Solve for m: 18d – 2m + 9k < 5k + 10.

Answers

Simple,

just go with the flow,

18d-2m+9k<5k+10
             -9k  -9k

18d-2m<-4k+10....

18d-2m<-4k+10
-18d      -18d

-2m<-18d-4k+10

Now, divide.. (but remember when dividing by a negative the sign gets flipped)

(-2m)/(-2) \ \textless \ (-18d-4k+10)/(-2)

Thus, m>9d+2k-5.

Your answer.. :D

Vincent borrowed $500 from Mitchell for six months how much interest will Michelle earn if he charges Vincent a simple interest rate of 3 percent

Answers

Michelle will earn $15 from the interest rate.

Max purchased a box of green tea mints. The nutrition label on the box stated that a serving of three mints contains a total of 10 calories

Answers

full box=180 calories
C(x)=number of calories
x=number of mints

therefor
full box=180=(10/3)x
180=(10/3)x
solve for x aka number of mints per box

multiply both sides by 3/10 ( since 10/3 times 3/10=30/30=1 so 1x)

540/10=x
54=x

54 mints per box

if a real estate company gives 3% commission on to it's agents. if an agent sold a piece of land for 12,50,000, how much cccommision did the agent get ? ​

Answers

Answer:

37500

Step-by-step explanation:

3% of 1250000

That is (3/100)*1250000

The answer is 37500

A password is 4 characters long and must consist of 3 letters and 1 of 10 special characters. If letters can be repeated and the special character is at the end of the password, how many possibilities are there? a. 175,760
b. 456,976
c. 703,040
d. 1,679,616

Answers

Hello,
number of letters:26
In each 3 first position ,we can put 26 possibilities
=>26^3
Last position: 10 posibilities

==>26^3*10 =175 760
Answer A

Using the Fundamental Counting Theorem, it is found that the number of possibilities is given by:

a. 175,760

What is the Fundamental Counting Theorem?

It is a theorem that states that if there are n things, each with n_1, n_2, \cdots, n_n ways to be done, each thing independent of the other, the number of ways they can be done is:

N = n_1 * n_2 * \cdots * n_n

In this problem:

  • The first three characters are letters that can be repeated, hence n_1 = n_2 = n_3 = 26.
  • The last character is one digit from a set of 10, hence n_4 = 10.

Then:

N = 26 x 26 x 26 x 10 = 175,760.

Hence option A is correct.

To learn more about the Fundamental Counting Theorem, you can check brainly.com/question/24314866
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