What is the solution (x,y) to the system of equations above?

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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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:

B.

Step-by-step explanation:

B is not a function because it has a duplicate x value. Any function that has the same x value makes it automatically not a function.

Answer:

With what nothing there

Step-by-step explanation:

Step-by-step explanation:

option b is the correct answer

Answer:

3

Step-by-step explanation:

9/3 = 3

b is 3 times more than a

Answer:

30 meters.

Step-by-step explanation:

Meters are larger then yards.

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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The final altitude of the hiker 395 feet.

From the information, the hiker first hiked down into a canyon 1,345 feet below sea level and she then hiked 950 feet up the side of a mountain.

This will be:

= -1345 + 950

= 395

Therefore, the final altitude of the hiker 395 feet.

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Answer: i belive x=1

27-28=1

2x-x

x

Step-by-step explanation: hope this helps

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.

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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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 probability of being dealt in a queen is 1/13.

To find the probability:

Therefore, the probability of being dealt in a queen is 1/13.

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I don't know helpp me with the mathhh pleaseee

Step-by-step explanation:

Answer:

48 seeds germinated

Step-by-step explanation:

you have 60 seeds, and 80% of them germinated

80% = 0.80

[tex]60* 0.80 = 48[/tex]

48 seeds

Answer: 48 seeds germinated

Step-by-step explanation:

60/100= 0.6

0.6x80=48

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

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: b) 9

Step-by-step explanation: if you take 3 * 9 it = 27 take that minus 6 that = 21

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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The value of x = 1 when the value of the function h(x) = 4.

The characteristic that every input is associated to exactly one output defines a function as a relationship between a set of inputs and a set of allowable outputs. A mapping from A to B will only be a function if every element in set A has one end and only one image in set B. Let A & B be any two non-empty sets.

Given that,

h(x)= 3x+1

The value of h(x) = 4:

4 = 3x + 1

4 - 1 = 3x

3x = 3

x = 1

Hence, the value of x = 1 when the value of the function h(x) = 4.

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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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1.7 miles, just do the total amount of what can be considered distance, then minus what she walked, resulting in the answer to be the amount of time ran.

Answer:

Step-by-step explanation:A. ​Solution:

So we know that Ann and Cammy are playing Chess, and Stephen is playing by himself, which would mean he is playing -ONE-player games. So we have Rake and Dora, when you see their names, it creates a word. Cammy, Ann, Rake, Dora, and Stephen.

                                                                                                                                          C           A      R        D              S

So Rake and Dora are playing cards. But what kind of cards? The ONE is spotlighted for clues, we have Spanish. So -ONE- in Spanish is UNO. If you search UNO, its a card game, TAAAAADDDDDDDDDAAAAAAAAA.

The answer is 12 cubic feet

Stefan take 17 hours and Jaidee 18hours ,time taken by both of them if they work together is equal to 8.74 hours.

As given,

Time taken by Stefan 17 hours

work in 1 hour = 1/ 17

Time taken by Jaidee = 18 hours

work in 1 hour = 1/18

If worked together:

Work complete in 1 hour = (1/17) + (1/18)

                                       = 35 / (17)(18)

Time taken to complete 1 work= (17)(18) /35

                                                = 8.74 hours

Therefore, ,time taken by both of them if they work together is equal to 8.74 hours.

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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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