2/14 in simplist form

Answer:

x = 3     y = -1

Step-by-step explanation:

x - 5y = 8

x = 5y + 8

replace x with 5y + 8 in the other equation

4(5y + 8) + 5y = 7

20y + 32 + 5y = 7

25y = 7 - 32

25y = -25

y = -25/25

y = -1

x = 5(-1) + 8

x = -5 + 8

x = 3

The expression is simplified to n = 3/ 25

Algebraic expressions are expressions made up of arithmetic operations such as addition, subtraction, multiplication, division, etc.

They also consist of variables, terms, factors, constants and coefficients.

Given the expression;

[tex]5( n- \frac{1}{10} ) = \frac{1}{2}[/tex]

expand the bracket

[tex]5 ( \frac{10n - 1}{10} ) = \frac{1}{10}[/tex]

[tex]\frac{50n - 5}{10} = \frac{1}{10}[/tex]

cross multiply

10( 50n - 5) = 10

expand the bracket

500n - 50 = 10

collect like terms

500n = 60

Make 'n' the subject

n = 60/ 500

n = 6/ 50

n = 3/ 25

Thus, the expression is simplified to n = 3/ 25

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The value of x is 7.6cm and the sides of the triangle are 19cm, 22.8cm and 18.2cm

Perimeter of triangle

The perimeter of a triangle is defined as the total length of its boundary.

The formula for the perimeter of a scalene triangle is

Perimeter = a + b + c,

where

"a", "b", and "c" are the three different sides.

Given,

A triangle has sides measuring 2.5x cm, 3x cm, and (2x+3) cm.

The perimeter measures 60 cm.

Here we need to find the value of x and the sides of the triangle.

Let the values of

a = 2.5x cm

b = 3x cm

and

c = (2x+3) cm

Then,

Apply the values on the formula for perimeter,

Then we get,

=> P = (2.5x) + (3x) + (2x +3)

=> P = 7.5x + 3

Now, apply the value of perimeter,

As P= 60,

Then.

=> 60 =  7.5x + 3

=> 7.5x = 60 - 3

=> 7.5x = 57

=> x = 57/7.5

=> x = 7.6

So, the sides of the triangle are,

a = 2.5x => 2.5 (7.6) = 19

b = 3x => 3(7.6) = 22.8

c = (2x+3) => 2(7.6) +3 = 15.2 + 3 = 18.2

Therefore, the sides of the triangle are 19, 22.8 and 18.2.

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Answer:

3*x+4*7p

3x+28p ok hard

Answer:

16 + 16 + 27 x 3 = 113 m

Step-by-step explanation:

perimeter is the outer length of all the sides of the figure so add two sides of triangle and three sides of the square as one of the side is inside the figure.

Answer:

Step-by-step explanation:

perimeter = 16 + 16 + 27+27+27 =113

ANSWER=113

The next consecutive binary value of 1011 = 1100

Binary numbers only consist of two digits: 0 and 1. So there are some specific rules for addition in binary. They are:

Here 1011 is a binary number and to find the its next consecutive binary value, we have to add 1 to 1011.

i.e., 1 0 1 1 +

              1

------------------

    1 1 0 0

The 0 in the one's place is got by adding 1 + 1 = 10 and 1 is supposed to be a carry to the ten's place. The 0 in the ten's place is got from adding this carry 1 and 1, which again gives 10 and 1 is carry to next place. Now 0 + 1 = 1 and finally we get, 1011 + 1 = 1100.

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Answer:

3

Step-by-step explanation:

9/3 = 3

b is 3 times more than a

The answer is 12 cubic feet

Step-by-step explanation:

option b is the correct answer

Float rate_of_pay  a declaration for a variable rate_of_pay that can hold values like 11.50 or 12.75.

What is   float rate_of_pay?

Is a fixed or floating rate preferable?

float rate_of_pay

rate_of_pay = 11.50, 12.75;

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Answer:

1. -2/3        3. -5/4         5. 3/2          FOR THE REST OF THE PARTS LOOK THROUGH THE EXPLANATIONS

Step-by-step explanation:

Before I start the workings, I'll give a little explanation on this topic.

So, the equation of a straight line is

y = mx + c

where x and y are any coordinates of any point on the line.

m is the gradient or slope

m can be calculated using 2 formulas,

formula 1: Rise/Run

where rise is the how much a graph goes upwards or downwards, if its upwards use positive integer and if its downwards use negative integer.

Run is how much a graph moves to the right or to the left, if it moves to the right is is positive, if it moves to the left it is negative.

Formula 2: (y2-y1)/(x2-x1)

the values of these are taken through any 2 coordinates on the line.

and c is the y-intercept(the point where the line crosses the y-axis.

MOVING TO ANSWERING NOW

1. Dotted points on the line are (1,0) and (4,-2)

Formula of slope,

U can use any of the 2 formulas given above

I'll show both for this question

m = (y2-y1)/(x2-x1) = (-2-0)/(4-1) = -2/3

OR

m = rise/run = where rise is -2 and run is 3 so -2/3

2. TRY DOING THIS ONE YOURSELF

For the next part I'll do 3 and 5 for your understanding, try doing 2 and 4 on your own to understand.

3. Coordinates given (13,1) and (1,16)

m = (y2-y1)/(x2-x1) = (16-1)/(1-13) = 15/-12  simplify this and it becomes -5/4

5.  (-8,-14) and (-10,-17)

m =  (y2-y1)/(x2-x1) = (-17-(-14))/(-10-(-8)) = -3/-2 = 3/2

FOR THE NEXT PART I'LL DO 7,8 AND 10 FOR YOU, TRY DOING 9 ON YOUR OWN FOR PRACTICE.

I WILL ALSO ATTACH FILES FOR THE NEXT PARTS IN ORDER OF QUESTIONS SO SEE THEM.

7. y = x + 3 this means y = 1x +3 which means:

1 is the gradient

3 is the y-intercept

so 1 as a fraction is 1/1 which means rise is one upwards and run is 1 to the right.

Now go to the graph on the y-axis and plot the point 3, (0,3) is your y-intercept. From their rise by one and run by one this will lead u to point (1,4)

Mark both these points and make a line through them.

8. x = -5

now look at this equation in the form of y = mx + c

0 = 1x + 5 the means y is 0 and it is already told in the question that x = -5

if u rearrange 0 = 1x + 5 it will give you x = -5

now when y is  0 x = -5 put a point on the coordinate (-5,0) and draw a vertical straight line.

10. y = (1/4)x - 1

slope is 1/4 which means rise is 1 and run is 4

y-intercept is -1

now go to y=-1 which is the coordinate (0,-1) and rise by one and run by 4, this will take u to the coordinate (4,0) now put a dot on both coordinates, connect them and put a line through them.

Answer:

The answer is 10 for your math equation

Step-by-step explanation:

The values of each variable are x = 15° and y = 7°.

Given are two lines, intersecting each other at a point to make angles,

2(5x − 5)°, 20y°, (5y + 5)° and (3x - 5)°.

We need to find the values of the variables.

The lines are intersected in such a way that the angles 2(5x − 5)°, (3x - 5)°and (5y + 5)°, 20y° are making linear pairs.

We know that the linear pair angles sum up to make 180°.

So,

2(5x − 5)° + (3x - 5)° = 180°

10x - 10 + 3x - 5 = 180°

13x - 15 = 180°

13x = 195°

x = 15°

Similarly,

(5y + 5)° + 20y° = 180°

5y + 5 + 20y = 180°

25y = 175°

y = 7°

Hence the values of each variable are x = 15° and y = 7°.

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Hey there!

To solve this problem, we will take a look at the FOIL Method.

FOIL is a simple acronym that can be used to multiply binomials. It stands for:

F - Front

O - Outer

I - Inner

L - Last

See the image below for an example of how to use this in the given situation.

Front: Multiply the two terms out in the front.

[tex](-5a)(-4a) = 20a^2[/tex]

Outer: Multiply the two terms on the outsides.

[tex](-5a)(3)=-15a[/tex]

Inner: Multiply the two terms on the insides.

[tex](6)(-4a)=-24a[/tex]

Last: Multiply the two terms in the back.

[tex](6)(3)=18[/tex]

Now, we add all of our answers from above:

[tex]20a^2-15a-24a+18[/tex]

Simplify by combining like terms:

[tex]20a^2-39a+18[/tex]

There's our answer!

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Answer:

30 meters.

Step-by-step explanation:

Meters are larger then yards.

[tex]\frac{Y}{6} - 3 = -11[/tex]

[tex]\frac{Y}{6} - \frac{18}{6} = -\frac{66}{6}[/tex]

[tex]Y - 18 = -66[/tex]

[tex]Y = -66 + 18 = -48[/tex]

Let

S = 1 + 2 + 3 + … + (n - 2) + (n - 1) + n

Reversing the order of terms, we have

S = n + (n - 1) + (n - 2) + … + 3 + 2 + 1

and we observe that terms in the same position on the right side add up to n + 1.

2S = (1 + n) + (2 + (n - 1)) + (3 + (n - 2)) + … + (n + 1)

There are n terms in the sum, so each the right side is simply n copies of n + 1, and

2S = n (n + 1)

S = n (n + 1)/2

Now,

17 + 18 + 19 + … + 41 + 42 + 43

= (1 + 2 + 3 + … + 41 + 42 + 43) - (1 + 2 + 3 + … + 14 + 15 + 16)

= (S with 43 terms) - (S with 16 terms)

= 43 (43 + 1)/2 - 16 (16 + 1)/2

= 810

The 14th term of the arithmetic sequence x-1x−1, 7x-77x−7, 13x-13, ...13x−13,... is  -79.

The nth term of a particular arithmetic sequence can be found by,  an = a + (n – 1)d. So in order to find the nth term, substitute the given values [tex]a_{1}[/tex] and d  into the formula. So to find the 14th term, substitute n = 14 into the equation which is the nth term.

Given,

 [tex]a_{1}[/tex]= x-1x-1

 [tex]a_{2}[/tex]= 7x-77x−7

 [tex]a_{3}[/tex]= 13x-13

 n=  14

We have to find the common difference d from differences in adjacent terms [tex]a_{1}[/tex],[tex]a_{2}[/tex],[tex]a_{3}[/tex] . That is,

[tex]a_{2}-a_{1} =a_{3} -a_{2}[/tex]

[tex]7x-77x-7-(x-1x-1)=13x-13-(7x-77x-7)[/tex]

[tex]7x-77x-7-x+x+1=13x-13-7x+77x+7\\-70x-8x=-6+6\\-78x=0\\ x=0[/tex]

Put x=0 in x-1x-1, 7x-77x-7, 13x-13

Therefore,

[tex]a_{1}[/tex] = -1

[tex]a_{2}[/tex] = -7

[tex]a_{3}[/tex] = -13

Then,  d will be [tex]-7-(-1)[/tex] or [tex]-13-(-7)[/tex]

So, d= -6

Put  [tex]a_{1}[/tex], d, and n in the equation [tex]a_{n} =a+(n-1)d[/tex]  to find the 14th term.

Therefore,

[tex]a_{14}=-1+(14-1)-6\\ =-1-78\\=-79[/tex]

The 14th term of the given arithmetic sequence is -79

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Answer: 13.6 or 9.2

Step-by-step explanation:

Answer:

x=2/7

Step-by-step explanation:

The most important thing to note is that angle A and angle B are vertical angles. Vertical angles are always equal. So, you can set 4x+2=11x and solve.

To get x by itself, subtract 4x from both sides to get 2=7x. Then divide 7 from both sides which gets x equal to 2/7.

I don't know helpp me with the mathhh pleaseee

Step-by-step explanation:

We introduced three conditions that should be met before we construct a confidence interval for an unknown population proportion: Random, Normal, and Independent.

There are three crucial requirements that must be met in order to establish a confidence interval. These are Independent, Random, and Normal.

Any survey is carried out objectively.

It is required to assure randomness. An independent choice is equally likely to be made in a random sample. Similar to how the confidence interval is built, normal is used to confirm which phenomena are being employed or to correct the approach if necessary. In a similar vein, independent is crucial because it contains the facts to be analyzed. For the purpose of calculating the standard deviation, independent is used.

Therefore, it's crucial to consider the Random, Normal, and Independent criteria while building a confidence interval.

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Answer:

no

Step-by-step explanation:

Lola used 15/4 or [tex]3 \frac{3}{4} [/tex] cups of rice for pudding.

Amount of rice Lola has = [tex]4 \frac{1}{2} [/tex] cups

Converting from mixed fraction to improper fraction

Amount of rice Lola has = (2×4 + 1)/2

Amount of rice Lola has = 9/2 cups

Now, to find the amount of rice used for rice pudding, we will simply subtract the rice left with her after being used for sushi rolls.

Amount of rice used for pudding = Amount of rice Lola has - Amount of rice used to make sushi rolls

Amount of rice used for pudding = 9/2 - 3/4

Performing subtraction to find the amount of rice used for pudding

Taking LCM we get 4

Amount of rice used for pudding = (9×2 - 3)/4

Amount of rice used for pudding = (18 - 3)/4

Amount of rice used for pudding = 15/4

In mixed fraction, the amount of rice used for pudding = [tex]3 \frac{3}{4} [/tex]

Hence, Lola used 15/4 or [tex]3 \frac{3}{4} [/tex] cups of rice for pudding.

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Cash paid to the suppliers is 35,56,530$

Given here, The Amount of raw material purchased by company is 35,71,723$.

Firstly, we calculate decrease in Accounts payable = 115492$ - 110685$

= 4807$.

Now, cash paid to the suppliers is calculated by,

Cash paid to the suppliers= Purchases of raw material + Decrease in Account payable.

= 35,71,723$ + 4807$

= 35,56,530$

Thus, the cash paid to the suppliers is 35,56,530$.

The amount of Accounts Payable on a company's balance sheet is significant. If AP rises over the previous period, it indicates that the business is using credit rather than cash to purchase more goods and services. A company's accounts payable (AP) will decline if it is paying its commitments from the prior period more quickly than it is acquiring new things on credit.

Management of accounts payable is essential for controlling a company's cash flow. The top component of the cash flow statement, the cash flow from operational activities, shows the net change in AP from the prior period when the indirect method is used to create the cash flow statement.

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Answer: 4

Step-by-step explanation:

f=factor

24=6*f

24/6=f

f=4

Answer:

4 is paired with 6 to get 24

Step-by-step explanation:

Here are some examples I got from my math teacher:

So How do you find the factor pairs?

Factor pairs are a set of two integers that give a particular product when multiplied together. For example, 2 and 5 are a factor pair for the product of 10. Factor pairs can be negative numbers, but they must be whole numbers – that means that they can't be a fraction or a decimal.

Answer: i belive x=1

27-28=1

2x-x

x

Step-by-step explanation: hope this helps

Answer:

6.25years

Step-by-step explanation:

2000*4% = 80

500/80 = 6.25

6 years and 3 months

Answer: $466.1

Step-by-step explanation:

100*(1.08)^20=

100*4.661=$466.1