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Pie
3 years ago
12

Combining like terms with rational coefficients 7/8m+9/10-2m-3/5

Mathematics
1 answer:
nikklg [1K]3 years ago
7 0

Answer:

Ah yes, one of my favorite topics.

Step 1: Which ever fraction comes first, you will solve it first. For this question, focus on doing \frac{7}{8}m-2m first. Afterwards, do \frac{9}{10}-\frac{3}{5}

Step 2: First one equals to 1.125. Next, find the LCD (lowest common dominator, which is 10). \frac{9}{10} -\frac{6}{10}=\frac{3}{10}

Step 3: 1.125+3/10

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Need help ASAP! <br> 15 points!!
artcher [175]

Answer:

$3.60, $21.60

Step-by-step explanation:

if 3/4 of 1grape = $2.70

Then

1grape = 2.70 ×4/3

1grape = $3.60

Therefore

6grapes = 3.60 × 6

= $21.60

3 0
3 years ago
How many hours is 6:30am to 1:50pm
horrorfan [7]
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4 years ago
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Through which angle of rotation does the image of a regular pentagon coincide with its preimage?
Svetach [21]
Answer: 72° or any muliple of it: 72°, 144°, 216°, 288°, 360°, ...

It can be either clockwise or counterclockwise.


Explanation:


Thi is because a regular pentagon has 5 congruent sides.

Then you determine the angle of rotation by dividing 360° (a complete turn) by the number of sides (5)

360° / 5 = 72°.

Then every 72° the segments of the image will overlap those of the preimage.
4 0
4 years ago
ANSWER FOR BRAINILEST.
Lesechka [4]

Answer:

2713

Step-by-step explanation:

The volume of a cylinder is base * height. That means the whole cylinder's volume is 8^2 * 18 * pi = 1152 pi

The volume of a sphere is (4/3)(pi)(r^3) = (4/3)(pi)(6^3) = 288 pi

Cylinder - Sphere = Shaded Volume

1152pi - 288pi = 864pi

Substitute 3.14 for pi, and you get

864(3.14) = 2712.96, which rounds to 2713

6 0
3 years ago
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Find the line y=a+bx which best approximates the data points
Vika [28.1K]

Answer:

y = 11.84x - 32.71

Step-by-step explanation:

Here, the given data points,

(−3,−70),(−1,−42),(1,−21),(2,−9),(4,14),

Let x represents the input value and y represents the output value,

So, the table that represents the given situation is,

x         -3            -1             1             2             4

y       -70          -42         -21         -9             14

By the above table,

\sum x=3

\sum y=-128

\sum xy = 269

\sum x^2=31

\sum y^2 = 7382

Let the equation of the line is,

y = bx + a

Where,

a=\frac{\sum y \sum x^2 - \sum x\sum xy}{n(\sum x^2)-(sum x)^2}

b=\frac{n\sum xy - \sum x \sumy}{n(\sum x^2)-(\sum x)^2}

n = number of data points = 5,

By substituting the values we get,

a = - 32.70547945 ≈ - 32.71,

b = 11.84246575 ≈ 11.84,

Hence, the equation of line would be,

y = 11.84x - 32.71

8 0
3 years ago
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