Which of the following expressions are equivalent to4x - 6+ 8x + 2?
Select all that apply.
A
12x - 4
B 4(3x - 1)
C -2x + 10
D
2r - 8

Answers

Answer 1
Answer:

ANSWER : Both A and B are correct....

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How many seconds in 2.6 days

Answers

1 minute = 60 seconds
1 hour = 60 minutes = 3600 seconds
1 day = 24 hours = 1440 minutes = 86400 seconds
2.6 day = 2.6 * 86400 seconds = 224 640 seconds

Use the number line to compare the numbers.Drag and drop the numbers to place them in increasing order.
-1.3
0.4
-1/3
5/9

Answers

Answer:

The numbers in increasing order are:

-1.3, -0.33, 0.4, 0.55

Step-by-step explanation:

We have numbers:

-1.3,0.4,-1/3,5/9

We need to arrange in increasing order.

First convert fractions into decimals.

-1/3 = -0.33

5/9 = 0.55

We have numbers: -1.3, 0.4, -0.33, 0.55

Arranging numbers in increasing order we arrange them form smallest to largest.

The numbers in increasing order are:

-1.3, -0.33, 0.4, 0.55

Final answer:

The numbers -1.3, -1/3, 0.4 and 5/9 in increasing order when placed on a number line are -1.3, -1/3, 0.4, and 5/9. This is calculated by observing that smaller numbers are left on the number line and larger ones are to the right, and by converting fractions to decimals for easier comparison.

Explanation:

In the field of mathematics, a number line is a visual tool used to understand and compare numbers. In a number line, numbers to the left are smaller than those to the right. Comparing your numbers on a number line, you will get them in increasing order as such: -1.3, -1/3, 0.4, and 5/9.

The numbers you presented are in both decimal (-1.3, 0.4) and fraction (-1/3, 5/9) formats. -1.3 is the smallest because it is the furthest to the left on the number line. -1/3 is a negative fraction; its decimal equivalent is around -0.33, which is greater than -1.3. Next, 0.4 is a positive decimal, greater than any negative number. Finally, 5/9 is also positive and its decimal equivalent is approximately 0.56, which is larger than 0.4.

Learn more about Number comparison here:

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What are the x- and y- coordinates of point P on the directed line segment from A to B such that P is Two-thirds the length of the line segment from A to B?x = (StartFraction m Over m + n EndFraction) (x 2 minus x 1) + x 1

y = (StartFraction m Over m + n EndFraction) (y 2 minus y 1) + y 1

(2, –1)
(4, –3)
(–1, 2)
(3, –2)

Answers

Point P on the directed line segment from A to B will have x and y coordinates that are two-thirds of the length of the line segment from A to B. (-1,2).


What are coordinates?

Any one of a group of integers that are used to define where a point is on a surface, on a line, or in space. coordinates in terms of latitude and longitude.

It is given that, P is Two-thirds the length of the line segment from A to B and the coordinates of the points are A = (9,-8)   B = (-6,7).

We have to find the x- and y- coordinates of point P on the directed line segment from A to B

P is a line that divides the line segment from A to B in half.

AP = (2/3) AB


BP = (1/3) AB

We shall subtract two times as much length from AB as there is to A.

x=(m/m+n)(x₂-x₁)+x₁

y=(m/m+n)(y₂-y₁)+y₁

For m=2 and n=1 the value of x and y is,

x=(2/2+1)(-6-9)+9

x=-1

y=(2/2+1)(7-(-8))+(-8)

y=2

Thus, point P on the directed linesegment from A to B will have x and y coordinates that are two-thirds of the length of the line segment from A to B. (-1,2).

Learn more about the coordinates here,
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Answer:

4,-3

Step-by-step explanation:

A spring has an original length L inches. When a weight of x pounds is suspended from the spring, its new length y is given by the formula y = L + x k , where k is a constant, measured in pounds per inch. Solve the formula for x. Show the steps in your work. The value of k for a certain spring is 2.5. The length of the spring is found to be double its original length when a 10 pound weight is suspended from it. Write the equation for the original length of the spring and solve it. Show the steps in your work.

Answers

The way I figured this one out was saying that if it takes 2lbs to stretch it to 12 inches and 5lbs to stretch to 18 inches that means that 3 additional pounds = 6 inches. Therefore, each additional pound is 2 inches. We know already that with 2 lbs it was 12 inches in length and we can also say that 2 lbs = 4 inches. So subtract 4 from 12 and you end up with the answer of 8 inches.

What is the probability a 1-6 number cube lands on a composite number? 0.25 0.33 0.50 0.875

Answers

a compsite number is a number that is NOT prime
technically 1 is not prime since the definition is divisible by 1 and itself
2 is prime
3 is prime
4 is not prime
5 is prime
6 is not prime

2 solutions for 2 different views:
A: 1 is prime
B: 1 is not prime

A: 1 is prime
so we have 1,2,3,5 are prime and 5 and 6 are not
probablity is (desired outcomes)/(total possible outcomes)
desired outcomes=2 (5 and 6)
total possible outcomes=6 (6 numbers on cube)
2/6=1/3=0.33
probabiligy is 0.33


B: 1 is not prime
if 1 is not prime then we have 2,3,5 as prime and 1,4,6 as not prime
probability is (desired outcomes)/(total possible outcomes)
desired outcomes=3 (1,4,6)
total posible outcomes=6 (6 faces on cube)
3/6=1/2=0.5
the probability is 0.5



TECHNICALLY 1 is not prime so the answe ris 0.5

Answer=0.5

To find probability, we must find out the chances of rolling and even number. Out of the 6 sides on a dice, only 3 are even. So 3/6 are even

3/6=0.5

Nethan made 8 rose bouquets and 6 daffodil bouquets. Nethan only has enough flowers to make at most 20 rose or daffodil bouquets total. Let x represent the number of more rose bouquets and y represent the number of more daffodil bouquets that Nethan can make. Show the relationship between x and y graphically.

Answers

Answer:

Nethan made 8 rose bouquets and 6 daffodil bouquets.

Nethan only has enough flowers to make at most 20 rose or daffodil bouquets total.

Let x represents the number of more rose bouquets.

Let y represents the number of more daffodil bouquets.

The maximum bouquets that can be made = 20

And the number of bouquets made are = 14

So, additional bouquets are = 20-14=6

In equation form we can show like :

x +y= 6

or y=6 -x

or x=6- y

Putting values of x as 0,2,4 and 6 we get:

When x = 0 then y = 6  

When x = 2 then y = 4

When x = 4 then y = 2

When x = 6 then y = 0

You can see the graph attached.