Solve for x in the triangle

The addition of the 7 / 4 + 1 / 2 + 5 / 3 + 1 / 3 + 1 / 4 + 1 / 2 is 5.

A fraction represents a portion of a total. This entire may refer to a place or a group of places. The Latin word "fraction," which means "to break," is the source of the English term "fraction."

The distribution of food and supplies as well as the lack of a metal currency were among the mathematical issues that the Egyptians utilized fractions to solve because they were the first civilization to understand fractions.

Given:

7 / 4 + 1 / 2 + 5 / 3 + 1 / 3 + 1 / 4 + 1 / 2

Rearrange the number as shown below,

7 / 4 + 1 / 4 + 1 / 2 + 1 / 2 + 5 / 3 + 1 / 3

Add the like terms as shown below,

(7 + 1) / 4 + (1 + 1) / 2 + (5 + 1) / 3

8 / 4 + 2 / 2 + 6 / 3

Divide the terms as shown below,

2 + 1 + 2

5

Thus, the addition is 5.

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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!

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:

(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)

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:

Help with what? You didn't post anything.

Step-by-step explanation:

Answer:

500

Step-by-step explanation:

Answer:

20$

Step-by-step explanation:

because 20*5 =100 which 20 times 5 is the same thing as adding 20+20

+20+20+20 witch is 20$ per dog he walks. hope this helps!

Answer:

6.6%

Step-by-step explanation:

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:

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

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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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

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

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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Hello!

[tex]\large\boxed{m = 1}[/tex]

Use the slope formula to determine the slope between the points:

m = (y2 - y1) / (x2 - x1)

Plug in the values:

m = (7 - 2) / (10 - 5)

m = 5 / 5

m = 1

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

Answer:

I'm positive its C

Step-by-step explanation:

9514 1404 393

Answer:

  a. n² +10n +25 = 0

  b. 0

  c. 1 real solution

Step-by-step explanation:

a. Add 25 to put the equation in standard form.

  n² +10n +25 = 0

__

b. The discriminant is d = b²-4ac.

  d = 10² -4(1)(25) = 0

The discriminant is 0.

__

c. A discriminant of 0 means there is 1 real solution.

Answer:

Third choice, 3/4

Step-by-step explanation:

There's 3 lines in the middle before it's the number 1, if u count 1 into the lines then there's 4, 1 divided by 4 is 0.25 or 1/4, so each small line is going up or down by 1/4. So it's 0 -> 1/4 -> 2/4 -> 3/4 which is A -> 4/4 which is 1

So A is 3/4

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:

x + 4y ≥ 15; y ≥ 0

Step-by-step explanation:

The solid line signifies it is a ≤ or ≥.

The equation of the line joining 0, 3.75 and 15, 0 is gotten using the formula:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\\\Substituting:\\\\y-3.75=\frac{0-3.75}{15-0}(x-0)\\\\ y-3.75=-\frac{1}{4}x\\\\y=-\frac{1}{4}x+3.75\\\\4y=-x+15\\\\4y+x=15[/tex]

Since the first and second quadrant are shaded, this represents y ≥ 0.

Also, above the solid line of 4y + x = 15 is shaded, this represents 4y + x ≥ 15.

Hence the inequality modeled is x + 4y ≥ 15; y ≥ 0

Answer: He right

Step-by-step explanation:

Answer:

option 3,4,2,1

Step-by-step explanation:

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:

126°

Step-by-step explanation:

A line is equal to 180°

to find x you would subtract 180° - 54°

The answer is 126°

My work is in the picture below

I hope it helped!

Have a nice day!

In the figure, the angle x° is an alternate angle with angle 54° so the measure of angle x° is 54°.

We have,

From the figure,

Line m and line n are parallel.

Line t is the transversal line.

Now,

Alternate angles are a pair of angles that are formed when a transversal (a line that crosses two other lines) intersects two parallel lines.

When this happens, the alternate angles are on opposite sides of the transversal and are congruent, which means they have the same measure.

Angle 54° and angle x° are alternate angles.

Alternate angles are equal.

So,

x° = 54°

Thus,

The measure of angle x° in the figure is 54°.

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