MATHEMATICS MIDDLE SCHOOL

Rachel can type 450 words in 6 minutes

How many words can Rachel type in 1 minuet

Answers

Answer 1
Answer:

450/6 = X/1

75 = X

Rachel can type 75 words in a minute!

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A bag of marbles contains 5 red, 3 blue, 2 green, and 2 yellow marblesWhat is the probability that you choose a red marble and then a green marble assuming you replace the first marble?

A) 1/24
B) 5/72
C) 5/66
D) 5/6

Answers

B)5/72 i hope this helped

Answer:

b

Step-by-step explanation:

What is the cube root of 30

Answers

Cube root of 30:


Equivalent to 30^(1/3) = 3.10723250595
Approximately rounded to 3.12.
 this is the cube root of 30: 3.1072325059538588668776624275224

New Clarendon Park is undergoing renovations to its gardens. One garden that was originally a square is being adjusted so that one side is doubled in length, while the other side is decreased by three meters.The new rectangular garden will have an area that is 25% more that the original square garden. Write an equation that could be used to determine the length of a side of the original square garden.
Determine the area, in square meters, of the new rectangular garden.

Answers

The answer is 80 square meters.

The square area is expressed as:
A = a²,
where A is the area of the square, and a is the side of the square.

The rectangle area is expressed as:
A₁ = a₁ · b₁,
where A₁ is the area of the rectangle, and a₁ and b₁ are the sides of the rectangle.

After renovations, square garden becomes rectangular.

One side is doubled in length:
a₁ = 2a

The other side is decreased by three meters.
b₁ = a - 3

The new area is 25% than the original square garden:
A₁ = A + 25%A =
     = A + 25/100·A
     = A + 1/25·A
     = a² + 1/25·a²
     = a² + 0.25·a²
     = 1.25·a²

If the starting equation is:
A₁ = a₁ · b₁

Thus, the equation is:
1.25a² = 2a·(a - 3)
1.25a² = 2a · a - 2a · 3
1.25a² = 2a² - 6a

Therefore, the equation that could be used to determine the length of a side of the original square garden is:
2a² - 6a = 1.25a²


Now, we will solve the equation:
2a² - 6a = 1.25a²
2a² - 1.25a² - 6a = 0
0.75a² - 6a = 0
⇒ a(0.75a - 6) = 0

From here, one of the multiplier must be zero - either a or (0.75a - 6). Since a could not be zero, (0.75a - 6) is:
0.75a - 6 = 0
0.75a = 6
a = 6 ÷ 0.75
a = 8

If the side of the square is 8, then the area of the rectangle is
A₁ = 1.25 · a²
A₁ = 1.25 ·8²
A₁ = 1.25 · 64
A₁ = 80

Therefore, the area of the new rectangle garden is 80 square meters.

For the function f(x) shown below, which of the following represents the interval over which f(x)<0?

Answers

For a given function f(x) we want to see in which interval we have f(x) < 0.

We will see that the correct option is the first one:

-2 < x < 4

Let's see how to get the solution.

To see in which interval the function is negative, we need to see over which interval the graph of the function is below the horizontal axis.

By looking at the graph, we can see that this happens in the interval (-2, 4)

Where we used an open interval because we want f(x) strictly smaller than 0, not equal.

Then the interval is:

-2 < x < 4

Thus the correct option is the first one.

if you want to learn more, you can read:

brainly.com/question/22061278

By scrutinizing the graph, it is evident that the function f(x) is negative in the interval -2 < x < 4. This conclusion is drawn from observing where the graph resides below the horizontal axis, providing a clear understanding of the intervals where f(x) exhibits a negative value.

The correct answer is option 1.

To determine the intervals where the given function f(x) is negative, the correct option is identified as -2 < x < 4. The process involves examining the graph of the function to discern where it lies below the horizontal axis, indicating a negative value.

By visually inspecting the graph, it becomes apparent that f(x) is negative in the interval (-2, 4). It's crucial to note the use of an open interval, implying that f(x) is strictly less than 0, not equal to 0.

The derived interval expression is -2 < x < 4, signifying that the function f(x) is negative for values of x within this range. The open interval emphasizes the exclusion of the boundary points where f(x) equals 0.

Therefore, from the given options the correct one is 1.

For more such information on:function

brainly.com/question/11624077

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I REALLY NEED HELP!!!!!

Answers

1) 8(3a+6) = 9(2a-4)

First, we use distributive property on both sides.

Once we do this, we get:

24a + 48 = 18a - 36

Add 36 to each side.

24a + 84 = 18a

Subtract 24a from each side.

84 = -6a

Divide each side by -6

-14 = a

2) 6(2x-8)+3 = 15

Again, we use distributive property:

12x-48+3 = 15

Subtract 3 from each side

12x - 48 = 12

Add 48 to each side

12x = 60

Divide each side by 12

x = 5

3) -5(3x+6) = -3(4m-2)

Distributive property:

-15m - 30 = -12m + 6

Add 30 to each side

-15m = -12m + 36

Add 12m from each side

-3m = 36

Divide each side by -3

m = -12

What is -24 feet per 2 seconds as a unit rate in feet per seconds

Answers

All you have to do is divide -24 by two to get a unit rate, which means that you are move at a speed of -12 feet per second
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