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3 years ago

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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Find the magnitude of v. v = -3i+ 40 + 7k v =

kherson [118]

Answer:

The magnitude of the given vector is 40.72 units.

Step-by-step explanation:

The given vector is $v=-3\widehat{i}+40\widehat{j}+7\widehat{k}$

We know that for any vector 'r' $\overrightarrow{r}=x\widehat{i}+y\widehat{j}+z\widehat{k}$ the magnitude is given by

$|r|=\sqrt{x^{2}+y^{2}+z^{2}}$

Comparing with the given vector we have

x = -3

y = 40

z = 7

Thus the magnitude equals

$|v|=\sqrt{(-3)^{2}+40^{2}+7^{2}}$

$|v|=40.72$

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3 years ago

Find the value of x. Round your answer to the nearest tenth. 57° 15 Х X =

BARSIC [14]

Answer:

x = 14

Step-by-step explanation:

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3 0

3 years ago

A store makes a $0.45 profit on every toy they sell. If they made $237.15 in profit last month, how many toys did they sell?

iren2701 [21]

Answer:

527

Step-by-step explanation:

237.15/0.45 = 527

6 0

3 years ago

Read 2 more answers

The length of a rectangle is shown below: On a coordinate grid from negative 6 to positive 6 on the x-axis and on the y-axis two

Degger [83]

9514 1404 393

Answer:

3. C(−1, −5), D(2, −5)

Step-by-step explanation:

The given points are 2 -(-1) = 3 units apart horizontally, so the remaining points will need to be 18/3 = 6 units below, vertically. Translating the given points down 6 gives ...

D = A -(0, 6) = (2, 1) -(0, 6) = (2, -5)

C = B -(0, 6) = (-1, 1) -(0, 6) = (-1, -5)

The two points required to make a rectangle with an area of 18 square units are ...

C(-1, -5), D(2, -5)

_____

The area of a rectangle is the product of length and width. If the area is 18 square units, and the width is 3 units, then the length must be 6 units. 3×6=18.

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3 years ago

6-4(2x-3)+10x Show and explain work

lukranit [14]

Answer:

18+2x

Step-by-step explanation:

6-4(2x-3)+10x

6-8x+12+10x multiply 2x-3 by -4

18+2x combine like terms

6 0

3 years ago