Simple: get the Equation PART 2!!

[tex]x+ y =15~~...(i)\\\\x-y = 5~~...(ii)\\\\\text{(i) +(ii):}\\\\x+y+x-y = 15+5\\\\\implies 2x = 20\\\\\implies x = \dfrac{20} 2 = 10\\\\\text{(i)-(ii):}\\\\x+y -x +y = 15 -5\\\\\implies 2y = 10\\\\\implies y=\dfrac{10}2 = 5\\\\\text{Hence the numbers are 10 and 5}[/tex]

Answer:

The expression 3r - 6 can be written as 3(r - 2)

Step-by-step explanation:

We know that 3r-6=3(r-2) because 3*r is the same as 3r and we know that 3*-2 is -6 hence making them equal. And to check it we know that 3r-6 is equal to 3r-6.

The given information of the base length and the height of the

rectangle are sufficient to find the area of the triangle.

Correct response:

Given that the parameters are;

The base of the triangle = [tex]\sqrt{245}[/tex] cm

The height of the triangle = [tex]\mathbf{\sqrt{20}}[/tex] cm

Required:

To find the area of the triangle

Solution:

Therefore, the area, A, of the given triangle is given as follows;

[tex]A = \dfrac{1}{2} \times \sqrt{245} \ cm \times \sqrt{20} \ cm= \dfrac{1}{2} \times \sqrt{4,900} \ cm^2= \dfrac{1}{2} \times 70 \ cm^2 = 35 \ cm^2[/tex]

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Answer:

m=-1.5 and c=0.5

Step-by-step explanation:

3x+2y-1=0

divide everything by 2, to get y.

3x/2=1.5x, -1/2=-0.5.

then separate 1.5x and -0.5 from y (put them on the other side)

there, y=-1.5x+0.5

m=-1.5, and c=0.5

Answer:

wot

Step-by-step explanation:

Answer:

51/10, 4 and 1/9, 5.116, and 5.98

Step-by-step explanation:

least to greatest

Answer:

4 1/9, 51/10, 5.116, 5.98

Step-by-step explanation:

4 1/9

= 37/9

= 4.111...

51/10

= 5.1

I only solved #53 , it is inverse.

Answer:

20%

43*0.8=34.4

Hope This Helps!!!

Answer:

24,25,26

Step-by-step explanation:

Answer:24, 25, 26

Step-by-step explanation:

Divide the 75 by 3 because that is how many numbers you need. Then subtract 1 to get 24, add 1 to get 26, and also use 25.

Answer:

$6.25

Step-by-step explanation:

10 pencils = $0.5 times 10 = $5

$5 plus $1.25 (price of the notebook) = $6.25

Answer:

y=5x+33

Step-by-step explanation:

y-y1=m(x-x1)

y-8=5(x-(-5))

y-8=5(x+5)

y=5x+25+8

y=5x+33

Answer:

230/p = 23/100 You would need 1,000 g of snack mix.

Step-by-step explanation:

There are 1000 snack mix would be needed to get 230g of almonds.

Given that;

23% of a snack mix is almonds.

And, there are 230g of almonds.

Let us assume that;

The number of snacks = x

Hence, it can be written as,

23% of x = 230

23/100 × x = 230

23x = 23000

x = 23000/23

x = 1000

Therefore, The number of snacks = 1000 g

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Answer:

i think area of the rug is 1 square yards

Step-by-step explanation:

area = 3/4×8/6

area = 2/2

area = 1 square yards

Answer:

Shifted to the right by 9 units, and down by 7 units

Step-by-step explanation:

y=x is the origin.

(x-9) shows that the graph has moved 9 units to the right, as what is inside the parentheses indicates the opposite direction

(you can be able to review why this is from online resources or you can ask your teacher)

the -7 shows that the graph moves 7 units down the graph, it's outside the parentheses, so it follows the same direction

let's sum up:

for this situation,

- what is inside the parentheses is the x

- what is outside the parentheses is the y

- the x-values direction shifts opposite from the sign (+/-)

- the y-values direction shifts like the sign (+/-)

So,

the vertex has been shifted to the right by 9 units, and down by 7 units compared to y=x.

Answer:

 [tex]\frac{1}{x^2}[/tex] + [tex]\frac{y^2}{x^4}[/tex]

Step-by-step explanation:

[tex]\frac{x^2 + y^2}{x^4}[/tex] = [tex]\frac{x^2}{x^4}[/tex] + [tex]\frac{y^2}{x^4}[/tex] = [tex]\frac{1}{x^2}[/tex] + [tex]\frac{y^2}{x^4}[/tex]

The solution of the expression (x²+y²)/x⁴ is [(1/x² + y²/x⁴)].

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

The given expression is  (x²+y²)/x⁴. The expression will be solved as,

E =  (x²+y²)/x⁴

Separate the terms into two fractions,

E =  (x²+y²)/x⁴

E = (x²/x⁴) + ( y² / x⁴)

Divide the divisible terms and solve,

E = (1/x² + y²/x⁴)

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Answer:

1200000

Step-by-step explanation:

First, convert the 8 hours into minutes 8 hours * 60 minutes = 480 minutes

Then just do 2500 dollars * 480 minutes = 1200000

Answer:

$1,200,000

Step-by-step explanation:

We 1st multiply 2,500 by 60 due to 60 minutes being in 1 hour and get 150,000

We now know that in 1 hour you make 150,000 and to find out how much you make in 8 we then multiply 150,000 by 8 which equals $1,200,000.

I hope this helps have a great day and happy holidays :)

Answer:

-4

Step-by-step explanation:

3x(x + 4) = 135

3x² + 12x = 135

3x² + 12x - 135 = 0

On dividing by 3

x² + 4x - 45 = 0

x² + (9x - 5x) - 45 = 0

x² + 9x - 5x - 45 = 0

x(x + 9) - 5(x + 9) = 0

(x + 9)(x - 5) = 0

x = 5 & -9

Sum = -9 + 5

Sum = -4

The sum of the solutions of the given quadratic equation will be -4.

An algebraic equation of the second degree in x is a quadratic equation. The quadratic equation is written as ax2 + bx + c = 0, where x is the variable, and a must not be zero.

As per the given equation,

⇒ 3x(x + 4) = 135

Multiply the 3x as,

3x² + 12x = 135

3x² + 12x - 135 = 0

Divide the above equation by 3 as

3x²/3 + 12x/3 - 135/3 = 0

x² + 4x - 45 = 0

x² + 9x - 5x - 45 = 0

x(x + 9) - 5(x + 9) = 0

(x - 5)(x + 9) = 0

x = 5 and x = -9

Therefore the sum will be -9 + 5 = -4

Hence "The total of the quadratic equation's answers will be -4".

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Answer: 310

Step-by-step explanation:

35-15= 20

6200 / 20 = 310

Answer:310

Step-by-step explanation:divide 6200 by 20 and it gives you 310

The Van would catch up with the truck at 6:00 pm

Speed is the ratio of distance travelled to time taken. It is given by:

Speed = distance / time

Let us say the van catch up with the truck after t hours at a distance d.

For the truck:

45 = d/t

d = 45t

For the Van:

54 = d / (t - 2)

d = 54t - 108

45t = 54t - 108

9t = 108

t = 12 hours

The Van would catch up with the truck at 6:00 pm

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Answer:

The Van would catch up with the truck at 6:00 pm

Speed is the ratio of distance travelled to time taken. It is given by:

Speed = distance / time

Let us say the van catch up with the truck after t hours at a distance d.

For the truck:

45 = d/t

d = 45t

For the Van:

54 = d / (t - 2)

d = 54t - 108

45t = 54t - 108

9t = 108

t = 12 hours

The Van would catch up with the truck at 6:00 pm

Answer: It is called a "variable" or sometimes an "unknown". In x + 2 = 7, x is a variable

Standard deviation of the numbers is 16.154.

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

The given observations are

77,45,72,56,98,60,70,89,50,80,95,70,34,77,65,70,70,82,86,86

Average or mean of the data is

x=Sum of n values/ Total number of values

x=1432/20=71.6

The Standard deviation of the data is

[tex]\sigma=\sqrt{\frac{\sum(x-mean)^{2}}{n} }[/tex]

=√5218.8/20

=√260.94

=16.154

Hence, standard deviation of the numbers is 16.154.

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The length of the rope needed is 15 feet

Given the following parameters;

Required

To get the length of the rope, you will use the pythagoras theorem expressed as:

Substituting the given parameters:

c² = 9² + 12²

c² =81 + 144

c² = 225

c = √225

c = 15 feet

Therefore the length of the rope needed is 15 feet

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Answer:

  h(0) = -4

Step-by-step explanation:

Put the value where the variable is and do the arithmetic.

  h(x) = -3x -4

  h(0) = -3·0 -4 = 0 -4

  h(0) = -4

_____

Additional comment

In general, a polynomial function evaluated when the variable is zero will have the value of any added constant. All of the variable terms will be zero. Since the constant in this function is -4, we know immediately that h(0) = -4.

Answer:

[tex] {f}^{ - 1} (x) = - \frac{1}{2} x + \frac{7}{2} [/tex]

Answer:

4/10 or 0.4

Step-by-step explanation:

I just need 20 charecters

Answer:

slope = 0.4

Step-by-step explanation:

HOPE THIS HELPS :)

Answer:

4 : 3 : 3

Step-by-step explanation:

2/5 of 150 = 300/5 or 60;  therefore, there are 60 blue marbles

3/10 of 150 = 450/10 or 45;  therefore, there are 45 clear marbles

150 - (60 + 45) = number of green marbles;  there are 45 green marbles

Blue : Clear : Green ratio is 60 : 45 : 45 or 4 : 3 : 3

Answer:

slope = -4/5 and y-intercept = -9/5

Step-by-step explanation:

make y the subject of the formula

Answer:

42 cm is the perimeter

Step-by-step explanation:

Brainleast answer mo nalang

Answer:

P = 42 cm

Step-by-step explanation:

The perimeter (P) is the sum of the 4 sides of the rectangle with opposite sides being congruent.

Given width = 7 cm then length = 2 × 7 = 14

P = 7 + 7 + 14 + 14 = 42 cm

Answer:

a. 3/10

b. 1/10

c. 4/10 or 2/5

Step-by-step explanation:

There is 4 brown, 3 green, 2 red, and 1 purple if you add those all up you get 10. Since there is a total of 10 marbles in the bag and 3 of those are green 3/10 of the marbles are green. Same goes with purple, 1 of the 10 marbles in the bag is purple.

To solve for green and purple you must add them. Since there is 3 green and 1 purple that gives you 4. 4 out of 10 marbles are green or purple. 4/10 can also be simplified to 2/5