3 years ago

Problem Page

Mathematics

1 answer:

igomit [66]3 years ago

5 0

Answer:

Step-by-step explanation:

Let Thomas's age=x, so Huilan's age = x-11;

x+(x-11)=87

2x=98

x=49

so, Thomas's age is 49

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Please I really need help

Lubov Fominskaja [6]

Answer:

a: 130

b: 130

c: 50

Step-by-step explanation:

a straight line has an angle of 180, so those two angles are going to add up to 180. and opposite angles are equivalent

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4 years ago

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Holly burns 681 calories walking briskly for 3 h.

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227 calories per hour

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3 years ago

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What is the partial fraction decomposition of StartFraction 8 x + 19 Over (x + 8) (x minus 1) EndFraction? StartFraction 3 Over

hoa [83]

The partial fraction decomposition is $\frac{8x + 19}{(x + 8)(x - 1)} = \frac{5}{x + 8} + \frac{3}{x - 1}$

<h3>How to determine the decomposition?</h3>

The fraction is given as:

$\frac{8x + 19}{(x + 8)(x - 1)}$

Split the fraction as follows:

$\frac{8x + 19}{(x + 8)(x - 1)} = \frac{A}{x + 8} + \frac{B}{x - 1}$

Take the LCM

$\frac{8x + 19}{(x + 8)(x - 1)} = \frac{Ax -A + Bx + 8B}{(x + 8)(x -1)}$

Cancel the common factors

8x + 19 = Ax - A + Bx + 8B

By comparison, we have:

Ax + Bx = 8x

-A + 8B = 19

This gives

A + B = 8

-A + 8B = 19

Add both equations

9B = 27

Divide by 9

B = 3

Substitute B = 3 in A + B = 8

A + 3 = 8

Solve for A

A = 5

So, we have:

$\frac{8x + 19}{(x + 8)(x - 1)} = \frac{5}{x + 8} + \frac{3}{x - 1}$

Hence, the partial fraction decomposition is $\frac{8x + 19}{(x + 8)(x - 1)} = \frac{5}{x + 8} + \frac{3}{x - 1}$

Read more about partial fraction at:

brainly.com/question/12783868

#SPJ1

6 0

3 years ago

2. If the data in the table were displayed in a circle graph, which percent would NOT appear in the graph? Round to the nearest

german

Adding the numbers gives us a total of 65

Jan = 20/65 = 30.7% = 31%
Feb = 25/65 = 38.4% = 38%
Mar = 1/65 = 1.5% = 2%
Apr = 3/65 = 4.6% = 5%
May = 16/65 = 24.6% = 25%

I believe ur answer is 30%

6 0

4 years ago

Monica's rectangular living room is 12 ft by 15 ft. She has a square rug that covers 5/9 of the area of the floor. What is the s

GarryVolchara [31]

10 ft i think. 5/9 of 180 (which is 12 x 15) is 100 and 10 x 10 is 100

4 0

3 years ago