The sum of two numbers is 21. What is the equations for this statement:

Answer:

x+y = 1

x = 3, y = -2

Step-by-step explanation:

Given the expressions

x-y = 5

x²-y² = 5

From 2:

x²-y² = 5

(x+y)(x-y) = 5 .... 3

Substitute equation 1 into 3;

(x+y)(5) = 5

Divide both sides by 5

x+y = 5/5

x+y = 1

b) To deduce x and y, we will solve the equation below simultaneously

x-y = 5

x+y = 1

Add both equations

x+x = 5+1

2x = 6

x = 6/2

x= 3

Substitute x = 3 into equation 1

Recall from 1:

x-y = 5

3-y = 5

y = 3-5

y = -2

Hence x = 3, y =-2

Answer:

Second Job

Step-by-step explanation:

I would take the second job because you will make more. And it has sick time in addition to vacation.

First job:

$15x40=$600 then add in overtime which will be paid at $22.50 (time and half) so $22.50x5=$112.50. Add the two together $600+112.50=$712.50 weekly.

Second job:

$38,000/52=$730.77 weekly

Answer:

y+4=-3(x+1)

Step-by-step explanation:

point slope form = y-y1=m(x-x1)

so plug in the numbers

y - -4 = -3 (x - - 1)

if there are two negatives it becomes a positive so your final answer is y + 4 = -3 (x +1)

Hope this helps

Answer:

x=32 so one solution only

Step-by-step explanation:

6(x-8)+10=5x-6

6x-48+10=5x-6

6x-38=5x-6

x-38=-6

x=32

Therefore, the equation only has one solution which is x=32

Answer:

This question has 1 solution.

Step-by-step explanation:

Solve for X

First, distribute:

6x - 48 +10 = 5x - 6

Second, combine like terms:

6x - 38 = 5x - 6

Third, move like signs to one side:

x = 32

Answer:

11

Step-by-step explanation:

A positive will always be a positive. 2 positives is still positive. However, 2 negatives is a positive.

Answer:

Simplify both of them

Step-by-step explanation:

After simplify we get both ratio 2:7 and 10000:35000 are equal.

What is Ratio?

A ratio indicates how many times one number contain in another number.

Given that;

Both ratio are;

2:7 and 10000:35000

Now, Solve the ratio for simplifying;

Ratios are 2:7 and 10000:35000

First ratio is 2 : 7.

Clearly, This is already in simplest form.

Second ratio is 10000:35000

It can be written as;

10000:35000 = 10000/35000

                     = 10/35

                     = 2/7

Thus, After simplify we get both ratio 2:7 and 10000:35000 are equal.

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Answer:

x=13/8

Step-by-step explanation:

group like terms together

Answer:

A

Step-by-step explanation:

because your not describing how the variables are related if you don't have the variables

Answer:

Since 36=0 is false, there is no solution.

D. No Solution

Answer:

The positive integer is 3.

Step-by-step explanation:

Let 'x' be the integer

Given that five times of a positive integer is less than twice its square by 3.

so

5 times of x = [tex]5x[/tex]

3 less than twice of the square of x = [tex]2x^{2} - 3[/tex]

so the equation becomes

[tex]5x = 2x^{2} - 3[/tex]

[tex]2x^2-5x-3=0[/tex]

Factorise

[tex]\left(2x+1\right)\left(x-3\right)=0[/tex]

Using the zero factor principle

if ab=0, then a=0 or b=0 (or both a=0 and b=0)

[tex]2x+1=0\quad \mathrm{or}\quad \:x-3=0[/tex]

solving

[tex]2x+1=0[/tex]

Subtract 1 from both sides

[tex]2x+1-1=0-1[/tex]

Simplify

[tex]2x=-1[/tex]

Divide both sides by 2

[tex]\frac{2x}{2}=\frac{-1}{2}[/tex]

Simplify

[tex]x=-\frac{1}{2}[/tex]

Also solving

[tex]x-3=0[/tex]

Add 3 to both sides

[tex]x-3+3=0+3[/tex]

simplify

[tex]x=3[/tex]

Thus, we got integers:

x = 3 or x = -1/2

Therefore, the positive integer is 3.

Answer:

[tex](x - y)(x + y + 1)[/tex]

Step-by-step explanation:

[tex]x(x + 1) - y(y + 1)[/tex]

[tex]=> x^{2} + x - y^{2} - y[/tex]

Lets re-arrange it.

[tex]=> x^{2} - y^{2} + x - y[/tex]

Now , lets expand x² - y².

[tex]=> (x + y)(x - y) + (x - y)[/tex]

Taking ( x - y ) common ,

[tex]=> (x - y)(x + y + 1)[/tex]

Answer:

[tex]x(x + 1) - y(y + 1) \\ → {x}^{2} + x - {y}^{2} - y \\→( {x}^{2}- {y}^{2}) + (x - y) \\→ (x - y)(x + y) + (x - y) \\→ \boxed{ (x - y)(x + y + 1)}✓[/tex]

Answer:

The equation of the line passing through the points (4, 6) and (0, 6) will be:

The graph of the equation y = 6 is also attached.

Step-by-step explanation:

The slope-intercept form of the line equation

[tex]y = mx+b[/tex]

where

Given the points

Finding the slope between (4, 6)and (0, 6).

Using the formula

Slope = m =  [y₂ - y₁] /  [x₂ - x₁]

               =  [6 - 6] / [0 - 4]

               = 0 / -4  

               = 0

Thus, the slope of the line = m = 0

The slope m = 0 means the line is horizontal.  Because the slope of the horizontal line is 0.

As the y-values are not changing with respect to the x-values.

Therefore,

The equation of the line passing through the points (4, 6) and (0, 6) will be:

The graph of the equation y = 6 is also attached.

Answer:

17

Step-by-step explanation:

AC = AB + BC

Since we know what each variable equals, we can write out the equation as shown:

47 = 5x + 3x - 1

Combining like terms:

47 = 8x - 1

Add 1 on both sides:

48 = 8x

Divide 8 on both sides:

X = 6

Now that we know what X equals, we can solve BC.

BC = 3(6) - 1

BC = 18 - 1

BC = 17

Therefore BC = 17.

Answer:

Y=-1

Step-by-step explanation:

Substitute 30 into x, now the equation is

y = 14 -0.5(30)

Now solve the RHS for the answer.

y = -1

Answer:

i can't understand sorry

tanong mo sa iba

Answer:

235 * 10^7

Step-by-step explanation:

HOPE THIS HELPED

Answer:

3g

Step-by-step explanation:

Answer:

15 divided by 3 = 5

Step-by-step explanation:

21 divided by 3 = 7

6 divided by 3 = 2

Have a Good Day : )

Answer:

5

Step-by-step explanation:

y=x/3

substituting x=15 in the above equation

y=15/3

y=5

Mark me as the brainliest if I helped you, i need it thanksss!!

Answer:

The length of the side of the hexagon is [tex]2\sqrt{3}[/tex] inches.

Step-by-step explanation:

According to this question, we have a regular hexagon with a surface area of [tex]18\sqrt{3}\,in^{2}[/tex]. From Geometry, we know that all regular hexagons can be formed by six regular triangles, since the angle of one complete revolution (360º) divided by the number of triangles is equal to the internal angle of each triangle (60º). Then, the area of each triangle is found after dividing the complete area by the number of regular triangles:

[tex]A_{\triangle} = \frac{18\sqrt{3}\,in^{2}}{6}[/tex]

[tex]A_{\triangle} = 3\sqrt{3}\,in^{2}[/tex]

The area of the triangle as a function of the length of the side of the hexagon ([tex]l[/tex]), measured in inches, is determined by this equation:

[tex]A_{\triangle} = \frac{\sqrt{3}}{4} \cdot l^{2}[/tex] (1)

If we know that [tex]A_{\triangle} = 3\sqrt{3}\,in^{2}[/tex], then the length of the side of the hexagon is:

[tex]\frac{4}{\sqrt{3}}\cdot A_{\triangle} = l^{2}[/tex]

[tex]l^{2} = \frac{4\cdot \sqrt{3}}{3} \cdot A_{\triangle}[/tex]

[tex]l = 2\sqrt{\frac{\sqrt{3}}{3}\cdot A_{\triangle} }[/tex]

[tex]l = 2\sqrt{3}\,in[/tex]

The length of the side of the hexagon is [tex]2\sqrt{3}[/tex] inches.

Answer: B) 40 miles for 5 hours

Divide both values by 5 and we'll simplify that to 8 miles for 1 hour. This is the same as saying 8 miles per hour, or 8 mph.

The ratio 8:1 is read as "8 to 1", meaning the first value is 8 times that of the second value. Note how 40 is 8 times that of 5, ie 40 = 8*5.

Answer:

______the answer is Y=0.25X+3

Answer:

- 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 7x - 5 ← is in slope- intercept form

with y- intercept c = - 5

The y-intercept of the line y = 7x - 5 is -5.

To find the y-intercept of the line represented by the equation y = 7x - 5, we need to determine the value of y when x is equal to zero. The y-intercept represents the point where the line crosses or intersects the y-axis.

In this case, when we substitute x = 0 into the equation, we get:

y = 7(0) - 5

y = -5

Therefore, the y-intercept of the line y = 7x - 5 is -5. This means that the line intersects the y-axis at the point (0, -5), with the y-coordinate being -5. Graphically, this indicates that the line crosses the y-axis at a height of -5 units.

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Answer:

No

Step-by-step explanation:

Does anyone have to do DELTA-MATH

Answer: Can you send the question that you have.

Step-by-step explanation:

Answer:

1:3

That is it!

The value of the expression in can be estimated by using LCM and algebraic rules and it comes 3.64.

To rewrite the equation 2/3x - 2 = 3/7 without fractions, we need to eliminate the fractions by multiplying both sides of the equation by the least common multiple (LCM) of the denominators.

The denominators in this equation are 3 and 7, and their LCM is 21. So, we will multiply both sides of the equation by 21:

21 x (2/3x - 2) = 21 x (3/7)

Simplifying the left-hand side, we distribute the 21 to both terms:

14x - 42 = 9

Adding 42 to both sides, we get:

14x = 51

Finally, dividing both sides by 14, we get

x = 3.64 (rounded to two decimal places)

Therefore, the equation 2/3x - 2 = 3/7, rewritten without fractions, is 14x - 42 = 9. The solution to the equation is x = 3.64.

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Answer:

<fgh <gfh

Step-by-step explanation:

Answer:

21,753 is divisible by 3 and 9

Step-by-step explanation:

A number is  divisible by 2 if last digit of a number is 0, 2, 4 ,6 ,8

A number is  divisible by 3 if sum of digits is divisible by 3.

A number is  divisible by 5 if last digit of a number is 0 or 5

A number is  divisible by 9 if sum of digits is divisible by 9

A number is  divisible by 10 if last digit is 0.

So,  according to these rules  option (a) 3 ,9 is correct

Therefore , 21,753 is divisible by 3 and 9.          

Answer:

x = 7, -5

Step-by-step explanation:

Answer:

X = 5, -7

hope this helps.

Answer:

x[tex]\geq[/tex]3

Step-by-step explanation:

You add 5 to both sides. Then divide it by 4 to get your answer.