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2 years ago

(04.02 MC)

Mathematics

1 answer:

kvasek [131]2 years ago

6 0

Answer:y=negative 1 over 3x +2

Step-by-step explanation:

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A rectangle has 3 square feet and width 1/2 foot. What is the length of the rectangle

Yakvenalex [24]

Answer:

We Know, Area = Length * Width

Here, A = 3

W = 1/2

Substitute it into the expression,

3 = L * 1/2

L = 3/ 1/2

L = 3/2 ft²

So, the length of the rectangle would be 3/2 ft²

<u>Hope this helps! :)</u>

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8 0

3 years ago

A rectangle has a length that is 7 inches less that twice it's width. The area of the rectangle is 72 square inches. Write an eq

Nitella [24]

Answer: $2x^2-7x=72$ , where x= width of the rectangle ( in inches).

Step-by-step explanation:

Let x= width of the rectangle ( in inches).

Then its length = 2x-7 ( in inches).

Area of rectangle = Length × width

= (2x-7) × (x)

= 2x × x -7 ×x

= 2x²-7x

The area of the rectangle is 72 square inches.

$\Rightarrow\ 2x^2-7x=72$

Hence, the equation that represents the given situation :

$2x^2-7x=72$

7 0

3 years ago

The least common multiple of two numbers is 60, and one of the numbers is 7 less than the other number. What are the numbers?

storchak [24]

Step One - List the factors of 60.
Step Two - Locate the factors that are seven apart from each other.

Factors of 60:
1 × 60
2 × 30
3 × 20
4 × 15
5 × 12
6 × 10

60 - 1 = 59
30 - 2 = 28
20 - 3 = 17
15 - 4 = 11
12 - 5 = 7
10 - 6 = 4

5 is 7 less than 12, and 60 is their least common multiple.

Answer: 5 and 12

8 0

2 years ago

The National Science Organization is monitoring the continuous exponential decline of an insect species due to deforestation. Th

kakasveta [241]

Answer:

$P\geq 26e^{-0.079t}$

$P\geq 2$

Step-by-step explanation:

We are given that there is an exponential decay.

Also, the decrease is of constant rate 7.9% i.e. 0.079 each year.

Since, the initial amount of the species is atleast 26 million.

Thus, the inequality for the corresponding model will be, $P\geq 26e^{-0.079t}$ ,

where t is the time period for the decay and P is the population.

Moreover, is is given that the population cannot be less than 2 million.

So, we get, $P\geq 2$ .

Hence, the inequalities to determine the possible number of insects over time are given by,

$P\geq 26e^{-0.079t}$

$P\geq 2$ .

4 0

3 years ago

Lancer watched 6 videos. Each video was 33.5 minutes long. How long did Perla spend watching videos? A.6 minutes B.27.5 minutes

Mumz [18]

201 minutes because 6 multiplied by 33.5 = 201 minutes

5 0

3 years ago