Rewrite the equation below so that it does not have fractions.
3/4x+5=7/15

If the distance in space is often written using a light year and a light year is the distance light travels in one year. It is equal to about 6,000,000, 0 0 0, 0 0 0 miles. This measurement in scientific notation is: C. 6 x 10¹2 miles.

Given:

Measurement = 6,000,000,000,000 miles

Since the given measurement in mile is 6 trillion, now let convert the measurement in mile to scientific notation.

6 trillion = 6,000,000,000,000 miles

Hence,

6,000,000,000,000 miles = 6 × 10^12

Therefore the correct option is C.

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Answer:

(1/2, 2)

Step-by-step explanation:

Use Midpoint Formula

Label points L and N

M = (x1 + x2/2, y1 + y2/2)

M = ( -2 +3/2, -3 + 7/2)

M = (1/2, 2)

Answer:

1/3

Step-by-step explanation:

y2-y1/x2-x1

4-6/-1-5

-2/-6

1/3

Considering the definition of permutation and combination:

Permutation is placing elements in different positions. So, permutations of m elements in n positions are called the different ways in which the m elements can be arranged occupying only the n positions.

In other words, permutations (or Permutations without repetition) are ways of grouping elements of a set in which:

To obtain the total of ways in which m elements can be placed in n positions, the following expression is used:

[tex]mPn=\frac{m!}{(m-n)!}[/tex]

where "!" indicates the factorial of a positive integer, which is defined as the product of all natural numbers before or equal to it.

Combinations of m elements taken from n to n (m≥n) are called all the possible groupings that can be made with the m elements in such a way that not all the elements enter; the order does not matter and the elements are not repeated.

To calculate the number of combinations, the following formula is applied:

[tex]C=\frac{m!}{n!(m-n)!}[/tex]

In this case, you know we want to choose 5 colors, without replacement, from 18 distinct colors. This is:

(a) If the order of the choices is not taken into consideration, you use a combination as follow:

[tex]C=\frac{18!}{5!(18-5)!}[/tex]

Solving:

[tex]C=\frac{18!}{5!13!}[/tex]

C= 8,568

Finally, the number of ways of choosing 5 colors from 18 distinct colors (the order doesn't matter) is 8,568.

(b) If the order of the choices matters, you use a permutation as follow:

[tex]18P5=\frac{18!}{(18-5)!}[/tex]

Solving:

[tex]18P5=\frac{18!}{13!}[/tex]

18P5= 1,028,160

Finally, the number of ways of choosing 5 colors from 18 distinct colors (the order of choices matters) is 1,028,160.

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When Passenger trains leave the station every 40 minutes and  Freight trains leave every 30 minutes, If  a passenger train and a freight train just left at the same time, then it will take 120 minutes for one of  each train departs at the same time again

Given,

The passenger trains leave the station every 40 minutes

Freight trains leave every 30 minutes

We have to find the LCM

Prime factorization

30=2×3×5

40=2×2×2×5

LCM(30,40)= 2×2×2×3×5=120

Hence, when Passenger trains leave the station every 40 minutes and  Freight trains leave every 30 minutes, If  a passenger train and a freight train just left at the same time, then it will take 120 minutes for one of  each train departs at the same time again.

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Answer:

Profit percentage=30%

Step-by-step explanation:

The profit percentage=profit/cost price×100%

but we can calculate profit as=selling price-cost price

profit=Rs780-Rs600=Rs180

Now substitute the profit value into the formula

Profit percentage=Rs180/Rs600×100%=30%

C.P of an item= Rs.600

S.P of an item = Rs. 780

Profit = SP- CP

= Rs. 780- Rs.600

=Rs.180

Now, profit percent= profit÷ CP × 100%

= 180 ÷ 600 × 100%

=30%

SOLVED! I HOPE ITS RIGHT!

Answer:

1. 1/3

2. -2

3. 0

4. -2

5. 2/3

6. 0

Step-by-step explanation:

I'm going left to right for each graph just for clarification so you don't get confused.

I hope this helps and if it did I would appreciate it if you marked me Brainliest. thank you and have a nice day!

Answer:

6.6%

Step-by-step explanation:

Answer:

I'm positive its C

Step-by-step explanation:

Answer:

Help with what? You didn't post anything.

Step-by-step explanation:

Answer:

7910=7910

Step-by-step explanation:

7 9/10 as an improper fraction is 79/10.

Given is a mixed fraction 7 9/10 we need to convert it into improper fraction,

To convert the mixed number 7 9/10 into an improper fraction, you need to follow these steps:

Step 1: Multiply the whole number (7) by the denominator (10): 7 x 10 = 70.

Step 2: Add the numerator (9) to the result from Step 1: 70 + 9 = 79.

Step 3: Write the sum from Step 2 as the numerator of the fraction.

Step 4: Keep the denominator (10) the same.

Therefore, 7 9/10 as an improper fraction is 79/10.

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The equation can be expressed as the product of 5 and a number increased by 7 is equal to 10.

Linear equation are equations that has a leading degree of 1. The standard linear equation is given as y = mx + b

Given the expression 5x + 7 = 10

Subtract 7 from both sides to have:

5x+ 7 - 7 = 10 -7

5x = 10 - 7

5x = 3

5x - 3 = 0

5x = 3

x = 3/5

The equation can be expressed as the product of 5 and a number increased by 7 is equal to 10.

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Answer:

D: The slope is 3, and the y-intercept is 3/2

Answer:

1/11

Step-by-step explanation:

If there are 11 counters and there's only 1 white one, that makes it to where there's only a 1 in 11 chance of you choosing that one white counter.

Answer:

Step-by-step explanation:

∠ACE=∠ BCD (reflexive property )

It is common to both the angles or both the angles represent the same angle.

We have to prove two triangles are similar.

Here we show two angles of different triangles are equal.

Hence similar by AA  

Answer:

m<CBD is congruent to m<DBC

Step-by-step explanation:

Reflexive property states that any real number, for example a, is equal to itself. < cbd is congruent to < dbc :)

Answer: $60,518.50

Step-by-step explanation: Multiply 864,550 and 0.07 because you need to find the commision.

Answer:

Hello

Step-by-step explanation:

Answer:

$11267

Step-by-step explanation:

Loan Future value = amount borrowed + interest

Amount borrowed = 9500

Interest = Principal * Rate * Time/100

Interest = 9500*9.3 * 2/100

Interest = 95*9.3 * 2

Interest = $1767

Loan Future amount = 9500 + 1767

Loan Future amount = $11267

Step-by-step explanation:

what is the question ?

check everything that applies to the angles 1 and 2 ?

in that case :

two angles are adjacent angles, when they share a vertex and side.

so, yes, adjacent angles is true

vertical angles are angles that are opposite of each other when two lines cross.

so, no, vertical angles is false.

two angles are complementary, when they are adjacent and have combined 90°.

so, yes, complementary angles is true.

2 angles are supplementary, when they are adjacent and have combined 180°.

so, no, supplementary angles is false.

a linear pair of angles is basically the same as supplementary angles.

they are formed when two lines intersect each other (at a single point). The angles at the intersection point are linear if they are adjacent to each other, and their sum is always equal to 180°.

so, no, linear pair is false.

Answer:

option 3,4,2,1

Step-by-step explanation:

The length of the kite string is 16. 984m

A kite is currently flying at an altitude of 9 meters above the ground.

and, the angle of elevation from the ground to the kite is 32 degrees.

To find the length of the kite string to the nearest meter.

Now, According to the question:

Let the length of the kite string be x m.

From the diagram, the length of the kite string x m is hypothesis

The altitude is 9 m is opposite

and, horizontal line is adjacent.

Formula is:

Sin θ = opposite / hypotenuse

where Sinθ = 32 degree

opposite = 9 m

Hypotenuse = x m

Hence, Sin 32 = 9/x

x = 9/ sin 32 , and Sin 32 degree = 0.5299(approx.)

x = 9/ 0.5299

x = 16. 984 (approx.)

Hence, The length of the kite string is 16. 984m

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Answer:

27.5

Step-by-step explanation:

Answer:

(8-2)180

6*180= 1080

1080- 119- 140- 124- 132- 132- 102 = 331

6x +6x = 331

12x= 331

x= 27.5833

6(x)= 165.5

165.5 +165.5 + 119+ 140 + 124+ 132 + 132+ 102= 1080

Answer:

-(-12/15) = 12/15

Step-by-step explanation:

-(-x) = x

Two minuses, one minus outside the bracket and one inside, make a positive. Thus:

-(-12/15) = 12/15

Answer:

a=20

Step-by-step explanation:

4a+8-2a-3=45

-8 on both sides

4a-2a-3=37

+3 on both sides

4a-2a=40

2a=40

a=20

Answer:

a = 20

Step-by-step explanation:

Let's understand it quickly,

4a + 8 - 2a - 3 = 45

Gather the like terms on RHS and LHS,

4a - 2a = = 45 - 5

2a = 40

a = 40/2

a = 20

Hope it helps!<3

Answer:

Step-by-step explanation:

A display has 6 packs of marbles with a total mass of 629g. The packaging of each pack has a mass of 2/3 g and each marble has a mass of 4 1/2 g.

Which equation can we use to determine m, the number of marbles per pack?

================================

A total mass is the sum of 6 packs and each pack is:

We can put it as equation:

Correct option is D

Answer:

D. 6(4 1/2 m + 2/3)=629

Step-by-step explanation:

I did it on khan academy so theres no way this is incorrect.

Answer:

The area is 60

Step-by-step explanation:

You had to multiply 5×4×3

Answer:

my math teacher said that to find the area multiple all the numbers together so I got 47