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melisa1 [442]
4 years ago
11

H e l p ? p l e a s e

Mathematics
1 answer:
Bingel [31]4 years ago
6 0

To clear the fractions we multiply both sides by the least common multiple of all the denominators.

1/2  x + 2/3 = 4

Denominators 2 and 3, so multiply both sides by [Answer]: 6

3/4 x + 1 = 5/6

Denoms 4 and 6, LCM=12  Answer: 12

6/7 x - 2/3 = 5/21

LCM(7,3,21)=21 Answer: 21

3/5 + x/2 = 9

LCM(5,2)  Answer: 10

25/4 = 6 + 1/2 x

LCM(4,2)  Answer: 4

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Find the component form of the vector that represents the velocity of an airplane at the instant its wheels leave the ground, if
vekshin1

Answer:

The component form of the vector that represents the velocity of the airplane is (74.1 i , \ 11.73j)\ mph

Step-by-step explanation:

Given;

velocity of the airplane, v = 75 mph

direction of the plane, θ = 9°

The vertical component of the velocity is given by;

V_y = vsin\theta\\\\V_y = (75)(sin \ 9^0)\\\\V_y = 11.73 \ mph

The horizontal component of the velocity is given by;

V_x = vcos \theta\\\\V_x = (75)(cos9^0)\\\\V_x = 74.1 \ mph

Therefore, the component form of the vector that represents the velocity of the airplane is given as;

(V_x , \ V_y) = (74.1 , \ 11.73)\ mph

3 0
3 years ago
34+0+18+26 use properties to find the sum or product please show work I’ll give 20 points the picture is an example of what you
lora16 [44]
6 x 89 is 534
6 x (90 - 1) is 534. BUT you have to subtract 90 from 1 and that's 89. So then you multiply 6 by 89.
6 x 90 is 540 and 6 x 1 is 6. you take 540 subtract 6 and that's 534.
540 - 6 is 534.
8 0
4 years ago
A stack of books is 24 inches high.
JulsSmile [24]

Answer:

32

Step-by-step explanation:

Let's say n such books make up the stack.

If each book is 3/4 inch thick, it contributes 3/4 to the total height of the stack – 24 inches.

==> number of books × 3/4 = 24

(<em>to</em><em> </em><em>get</em><em> </em><em>this</em><em> </em><em>result</em><em> </em><em>add</em><em> </em><em>the</em><em> </em><em>heights</em><em> </em><em>of</em><em> </em><em>n</em><em> </em><em>such</em><em> </em><em>book</em><em>,</em><em> </em><em>and</em><em> </em><em>equate</em><em> </em><em>it</em><em> </em><em>to</em><em> </em><em>2</em><em>4</em><em>.</em><em> </em><em>You'll</em><em> </em><em>get</em><em> </em><em>something</em><em> </em><em>like</em><em>:</em>

<u><em>3</em><em>/</em><em>4</em><em> </em><em>+</em><em> </em><em>3</em><em>/</em><em>4</em><em> </em><em>+</em><em>.</em><em> </em><em>.</em><em> </em><em>.</em><em> </em><em>.</em><em> </em><em>n</em><em> </em><em>times</em><em> </em><em>=</em><em> </em><em>2</em><em>4</em></u>

<em>And</em><em> </em><em>that's</em><em> </em><em>what's</em><em> </em><em>meant</em><em> </em><em>by</em><em> </em><em>3</em><em>/</em><em>4</em><em> </em><em>×</em><em> </em><em>n</em><em> </em><em>=</em><em> </em><em>2</em><em>4</em><em>)</em>

==> n × 3/4 = 24

<em>multiply</em><em> </em><em>both</em><em> </em><em>sides</em><em> </em><em>by</em><em> </em><em>4</em>

<em>=</em><em>=</em><em>></em><em> </em>n × 3 = 24 × 4

<em>divide</em><em> </em><em>both</em><em> </em><em>sides</em><em> </em><em>by</em><em> </em><em>3</em>

==> n = (24 × 4)/3

==> n = 8 × 4

==> n = 32

We assumed the number of books to be n.

so the answer is:

<u> <em>32</em></u> books, each if height 3/4 inch, are required to build a stack 24 inches high.

4 0
3 years ago
Select the correct answer from each drop-down menu. using the distributive property to factorize the equation 3x2 24x = 0, you g
yKpoI14uk [10]

Using the distributive property to factorize the equation 3x² + 24x = 0, you get 3x(x + 8) = 0 and the solution of the equation is x = -8

<h3>How to factorize the expression?</h3>

The expression is given as:

3x² + 24x = 0

Factor out 3x

3x(x + 8) = 0

Divide both sides by 3x

x + 8 = 0

Subtract 8 from both sides

x = -8

Hence, the solution of the equation is x = -8

Read more about factorized expressions at:

brainly.com/question/7438300

4 0
2 years ago
We learned that multiplying by i produces a 90° counterclockwise rotation about the origin. What do we ned to
Bingel [31]

Answer:

For producing 90° rotation clockwise abut origin we have to multiply with -i

Step-by-step explanation:

We know that when we multiply with i in an number then it will give 90° counterclockwise rotation

We have to find the quantity after which it will produce 90° clockwise rotation

Generally we take counterclockwise as positive angle and clockwise as negative angle

So basically we have to produce -90° angle

For producing 90° rotation clockwise abut origin we have to multiply with -i

6 0
3 years ago
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