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soldier1979 [14.2K]
3 years ago
12

These rational expressions all have the same denominator write the sum of their numerators over the common denominator 2x+1 + x

+ 4 / x-3 + x-3 + x-3
Mathematics
2 answers:
ale4655 [162]3 years ago
8 0

So if all same you just simplify  The top :  2x+1+x+4  2x+x+1+4 3x+5  The bottom all same just use one .x-3  3x+5/x-3

DanielleElmas [232]3 years ago
8 0

C. \frac{3x+5}{x-3}



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7% of 120 (Need work shown)
inessss [21]
1% of 120 is 1.2, so 7 *1.2 = 8.4

Also you could set up the proportion 7/100 = x/120 and solve for x.
3 0
3 years ago
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The tables show the number of plants and the number of flowers. Which table represents a proportional relationship?
Usimov [2.4K]


 the last one because 7*3=21 14*3=42 and 21*3=63
4 0
3 years ago
In an arithmetic series, the sum of the first 12 terms is equal to ten times the sum of the first 3 terms. If the first term is
arlik [135]

Answer:

Step-by-step explanation:

The formula for determining the sum of the first n terms of an arithmetic sequence is expressed as

Sn = n/2[2a + (n - 1)d]

Where

n represents the number of terms in the arithmetic sequence.

d represents the common difference of the terms in the arithmetic sequence.

a represents the first term of the arithmetic sequence.

If a = 5, the expression for the sum of the first 12 terms is

S12 = 12/2[2 × 5 + (12 - 1)d]

S12 = 6[10 + 11d]

S12 = 60 + 66d

Also, the expression for the sum of the first 3 terms is

S3 = 3/2[2 × 5 + (3 - 1)d]

S3 = 1.5[10 + 2d]

S3 = 15 + 3d

The sum of the first 12 terms is equal to ten times the sum of the first 3 terms. Therefore,

60 + 66d = 10(15 + 3d)

60 + 66d = 150 + 30d

66d + 30d = 150 - 60

36d = 90

d = 90/36

d = 2.5

For S20,

S20 = 20/2[2 × 5 + (20 - 1)2.5]

S20 = 10[10 + 47.5)

S20 = 10 × 57.5 = 575

8 0
3 years ago
If a = 38 ft, b = 15 ft, c = 19 ft, and d = 19 ft, what is the area of the living room and hallway together?
Anvisha [2.4K]

Answer:

The area of the living room and hallway together = 437ft²

Question:

The complete question related to the one above found at 'Geometry in class' is stated below:

Abbey is getting new carpet in her living room and hallway.

The following diagram shows the two together.

If = 38 ft, b = 15 ft, c = 19 ft, and d = 19 ft, what is the area of the living room and hallway together?

Find attached the diagram of the question.

Step-by-step explanation:

To determine the area of the living room and hallway together, we would break the diagram into two rectangles.

Calculate the area of each and sum the two outcomes together.

Find attached the diagrams of the solution.

Given: a = 38 ft, b = 15 ft, c = 19 ft, and d = 19 ft,

Area of rectangle = length × breadth

Area of rectangle 1 = a × (d-b)

= 38 × (19-15) = 38× 4

Area of rectangle 1 = 152ft²

Area of rectangle 2 = c × b

= 19 × 15 = 285

Area of rectangle 2 = 285ft²

The area of the living room and hallway together = Area of rectangle 1 + Area of rectangle 2

= 152ft² + 285ft²

The area of the living room and hallway together = 437ft²

5 0
3 years ago
PLEASEE HELP, I’M CONFUSED!
hichkok12 [17]

Answer:

200

Step-by-step explanation:

if x is the original number:

0.7x = 140\\7x = 1400\\x = 200

7 0
3 years ago
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