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3 years ago

Simplify the fractions-a) 98/21b) 525/84

Mathematics

1 answer:

vagabundo [1.1K]3 years ago

4 0

Hey there! I'll try to provide you with my best answer.

Answer:

a) 14/3

Both of them can be divided by 7

b) 25/4

Both of them can be divided by 21

Hope it helps! ^^

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The tables below show the values of Y for different values of X

pogonyaev

Answer:

Option D

Step-by-step explanation:

Rate of change of a linear function between two points $(x_1,y_1)$ and $(x_2,y_2)$ is given by,

Rate of change 'm' = $\frac{y_2-y_1}{x_2-x_1}$

From the given table,

Rate of change of the function between (-2, 6) and (-4, 9),

Rate of change 'm' = $\frac{9-6}{-4-(-2)}$

m = $\frac{3}{-2}$

Initial value = y-intercept

Let the equation of the line passing through a point (h, k) is,

y - k = m(x - h)

If a point (-2, 6) is lying on the graph of the function,

y - 6 = $-\frac{3}{2}(x+2)$

y = $-\frac{3}{2}x-3+6$

y = $-\frac{3}{2}x+3$

Y-intercept of the function = 3

Therefore, initial value of the function = 3

Option D is the answer.

3 0

3 years ago

5x – 12y – 17 = 0<br> 1*9(x + 2) - (y + 1) + 3 = 0

valentina_108 [34]

Answer: $x=\frac{12y+17}{5}$

$y=\frac{-5x+17}{-12}$

$x=\frac{y-20}{9}$

y=9x+20

Step-by-step explanation:

5x-12y-17=0 (plus 17 from both sides)

5x-12y=17 (plus 12y from both sides)

5x=12y+17 (divide 5 from everything)

$x=\frac{12y+17}{5}$

5x-12y-17=0 (plus 17 from both sides)

5x-12y=17 (minus 5x from both sides)

-12y=-5x+17 (divide everything by -12)

$y=\frac{-5x+17}{-12}$

1*9(x+2)-(y+1)+3=0 (distribute 9 to x and to 2) (distribute -1 to y and to 1)

1*9x+18-y-1+3=0 (times 9x by 1)

9x+18-y-1+3=0 (combine like terms)

9x-y+20=0 (minus 20 from both sides)

9x-y=-20 (plus y to both sides)

9x=y-20 (divide 9 from both sides)

$x=\frac{y-20}{9}$

1*9(x+2)-(y+1)+3=0 (distribute 9 to x and to 2) (distribute -1 to y and to 1)

1*9x+18-y-1+3=0 (times 9x by 1)

9x+18-y-1+3=0 (combine like terms)

9x-y+20=0 (minus 20 from both sides)

9x-y=-20 (minus 9x from both sides)

-y=-9x-20 (divide -1 from everything)

y=9x+20

3 0

3 years ago

A zoo has 1,361 visitors on Saturday and 549 visitors on Sunday. What is the best estimate of the total number of visitors?

Firlakuza [10]

Answer:

1,900

Step-by-step explanation:

3 0

3 years ago

What is the answer to this problem -2b+6=-2b-2b?

TEA [102]

6 = -2b (cancel -2b on both sides)

6/-2 = b (divide both sides by -2)

-3 = b (simplify 6/2 to 3)

now switch sides

Answer: b = -3

8 0

3 years ago

Yolanda is making a banner for a school pep rally. She cuts fabric in the shape of a parallelogram. The angle at the bottom-left

Roman55 [17]

Answer: x=100

Step-by-step explanation:

In parallelograms the opposite angles are equal. As the bottom left angle is 80° the opposite angle (top right), is also 80°. All 4 angles in a quadrilateral must add up to 360. Because you know 2 angles added together are 160° the other two angles must equal 200°. As opposite angles are equal you know 2x=200, divide by 2 x=100

8 0

3 years ago

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