Three times a number, increased by one, is between negative eleven and seven. Find all the numbers

It is easiest to solve this system by elimination.

4x-8y=44

(2x+4y=-6) -2    ----> multiply the second equation by -2 to create equations where the x coefficients are opposites

     4x-8y=44

(+) -4x-8y=12

-16y=56

y = -7/2

now substitute the value of y into one of the above equations and solve for x

4x – 8(-7/2) = 44

4x + 28 = 44

4x = 16

X = 4

So, the solution is (4, -7/2)

The solution of the  system of equations 4x-8y=44 and 2x+4y=-6is (4, -3.5).

Two or more expressions with an Equal sign is called as Equation.

The given system of equation is 4x-8y=44 ...(1)

and 2x+4y=-6...(2)

To eliminate y term we have to multiply equation 2 with 2.

4x+8y=-12..(3)

Now add equation 1 and 3.

4x-8y+4x+8y=44-12

8x=32

Divide both sides by 8

x=4

Now plug in x value in equation 1

4(4)-8y=44

16-8y=44

Subtract 16 from both sides

-8y=44-16

-8y=28

Divide both sides by 8

y=-28/8

y=-7/2

=-3.5

Hence, the solution of the  system of equations is (4, -3.5).

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Answer:

8t - 7 ≤ 41  ||  t ≤ 6

Step-by-step explanation:

8t - 7 ≤ 41

   +7      +7

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

8t ≤ 48

÷8    ÷8

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

t ≤ 6

Answer:

Eighty-Eight thousand three hundred seventeen

Step-by-step explanation:

Answer:

ochenta ochenta mil trescientos diecisiete

Step-by-step explanation:

No estoy seguro de lo que quiere saber. Asumo que estás preguntando cómo escribirlo en palabras. Pero todavía no estoy tan seguro. Por favor, avíseme si necesito resolverlo de otra manera.

Answer:

y=14

Step-by-step explanation:

measure of a=50degrees b=50 degrees c=(5(14)+10) =80

50+50+80=180

Answer:

Y= 14

Step-by-step explanation:

a=50degrees

b=50 degrees

c=(5(14)+10) =80

50+50+80=180

Answer: B. Distributive Property

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Distributive Property  

Answer:

A) Spin or turn

Step-by-step explanation:

Answer:

-5x+17x^2

Step-by-step explanation:

Hope that helps good luck

9514 1404 393

Answer:

  17x^2 -5x

Step-by-step explanation:

"Simplify" in this context means "combine like terms." It can help to group the terms with the same variables.

  -9x+9x^2+8x^2+4x

  = 9x^2 +8x^2 -9x +4x

  = x^2(9+8) +x(-9+4)

  = 17x^2 -5x

Answer:

5, 8, 3, 10 lbs.

Step-by-step explanation:

We can solve this using a system of equations! We will call pumpkins [tex]a, b, c, d[/tex].

Our equations are thus:

[tex]a + b + c + d = 26[/tex]

[tex]a = 3c - 4[/tex]

[tex]d = 2a[/tex]

[tex]b = c + 5[/tex]

So now we just need to solve this system of equations.

We can start by solving for the value of pumpkin [tex]c[/tex] and go from there. So first we substitute some equations around.

First we write out pumpkin [tex]d[/tex] in terms of [tex]a[/tex].

[tex]d = 2a = 2(3c - 4) = 6c - 8[/tex]

And now we put the three equations into the first equation:

[tex]a + b + c + d = 26\\(3c-4)+(c+5)+(c)+(6c-8)=26[/tex]

Then we simplify to get:

[tex]11 c - 7 = 26[/tex]

[tex]11c = 33\\c = 3[/tex]

So we know pumpkin [tex]c[/tex] weighs 3 pounds.

Then we use the equations from before to get the value of the other pumpkins:

[tex]a = 3c-4 = (3*3)-4=9-4=5\\d = 2a = 2*5=10\\b = c + 5 = 3 + 5 = 8[/tex]

And we can check our results by putting into first equation:

[tex]5+8+3+10=26[/tex]

So it works out!

Thus our pumpkins weigh 5, 8, 3, 10 lbs each.

Answer:

uhh how am i suposed to know that u ahve o image

[tex] \sf \: 3x + x \sqrt{3} - 2 = 0 \\ \\ \sf \longrightarrow 3x + \sqrt{3} x = 2 \\ \\ \sf \longrightarrow \sqrt{3}x ( \sqrt{3} +1 ) = 2 \\ \\ \sf \longrightarrow \sqrt{3} x = \frac{2}{ \sqrt{3} + 1 } \\ \\ \sf \longrightarrow x = \frac{2}{ \sqrt{3}( \sqrt{3} + 1) } \\ \\ \sf \longrightarrow x = \frac{2}{3 + \sqrt{3} } \\ \\ \tt{You\:can\:stop\:here\:if\:you\:\bold{don't}\:want\:to }\\ \tt{ \:simplify\:in\:decimal\:form.}\\ \\ \sf \longrightarrow x = \frac{2(3 - \sqrt{3} )}{(3 + \sqrt{3})(3 - \sqrt{3} )} \\ \\ \sf \longrightarrow x = \frac{6 - 2 \sqrt{3} }{ {3}^{2} - {( \sqrt{3}) }^{2} } \\ \\ \sf \longrightarrow x = \frac{6 - 2(1.732)}{9 - 3} \\ \\ \sf \longrightarrow x = \frac{2.536}{6} \\ \\ \leadsto \underline{\boxed{\sf{\pink{x \approx 0.4226}}}}[/tex]

Answer:15

Step-by-step explanation:

Apex

Answer:

5 units

Step-by-step explanation:

d=

[tex] \sqrt{(x2 - x1}^{2} ) + \sqrt{(y2 - y1) {}^{2} } [/tex]

Answer:

72 on edge

Step-by-step explanation:

Answer:

94.50

Step-by-step explanation:

Answer:

625

Step-by-step explanation:

625

Answer:

6/5

Step-by-step explanation:

hi! when dividing fractions, we use the KCF rule, which stands for keep,change,flip. we keep the first fraction the same, change the division symbol to multiplication, and flip the second fraction to its reciprocal. therefore, we now have:

9/10 * 4/3

now, we can multiply the numerators and denominators.

36/30

we can simplify this.

6/5

Step-by-step explanation:

4/9A = 12

A = 12×9/4

= 27

......

Answer:

so how you would wNt to go about this is we dont know tge ages so youd use variables

Answer:

Khalil is 7 years old. Angela is 2 years old.

Step-by-step explanation:

I hope this helps

The required converted value is 10 feet, which is 120 inches into feet.

As we know that unit conversion is the process of converting a quantity from one unit of measurement to another. It refers to multiplying the given quantity by a conversion factor that blends the two proportional units.

To convert inches to feet, we use the conversion factor:

1 foot (ft) = 12 inches (in)

Therefore, to convert 120 inches to feet, we divide by the conversion factor:

120 inches / 12 in/ft = 10 feet

So, there are 10 feet in 120 inches.

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Answer:

When you barter, you must trade it for something else in order to buy something.

Step-by-step explanation:

When you barter, you must  exchange in order to buy something.

Barter, the direct exchange of goods or services—without an intervening medium of exchange or money—either according to established rates of exchange or by bargaining. It is considered the oldest form of commerce.

Given: A person barters

Therefore he must trade it for something else (exchange) in order to buy something.

Hence, When you barter, you must  exchange in order to buy something.

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Answer:

set mary is x years old, and helen is y years old.

first sentence:x=2y

second one:4(y-8)=x+4

bring x=2y in 4(y-8)=x+4

=>4y-32=2y+4

=>2y=36

=>y=18

=>x=36

mary:36

helen:18

We want to write and solve a system of equations that models given situation. We will see that Helen is 18 years old, and Mary is 36 years old.

Let's define the variables we will be using.

We know that "Mary is twice as old as Helen’s age"

Then:

m = 2*h

"If 8 is subtracted from Helen’s Age and 4 is added to Mary Age, Mary will be 4 times as old as Helen."

(m + 4) = 4*(h - 8)

Then the system of equations is:

m = 2*h

(m + 4) = 4*(h - 8)

To solve it, we can replace m by 2*h in the second equation, so we get:

(2h + 4) = 4*(h - 8)

2*h + 4 = 4*h - 32

4 + 32 = 4*h - 2*h

36/2 = h = 18

And we know that:

m = 2*h = 2*18 = 36

So Helen is 18 years old, and Mary is 36 years old.

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Answer:

so first you do the work than check

Step-by-step explanation:

Answer:  x = 9/5 or  [tex]1\frac{4}{5}[/tex]

35 1/5 is the perimeter of the square and the triangle.

Step-by-step explanation:

The square has 4 sides, so the perimeter of the square is 4(x+3)

The triangle has 3 sides so the perimeter is 3(3x-1)

The perimeters are equal, so 4(x+3) = 3(3x-1)

Solve by distributing and then

4x +12 = 9x - 3  subtract 4x from both sides and add 3 to both sides

4x-4x +12 -3 = 9x-4x -3 +3  cancel the zero sums and combine similar terms.

9 = 5x  divide both sides by 5

x =  9/5

Check:  4(9/5 +3) = 3[3(9/5) -1]

36/5 + 3   = [3( 27/5  -1 ]   27/5 -3  -3 equivalent -15/5  27/5 -15/5 = 12/5

36/5 = 3(12/5)  = 36/5   TRUE!  simplify to mixed numbers

35 1/5 is the perimeter of the square and the triangle.

Answer:

u,

Step-by-step explanation:

Using the sum of the internal angles of a triangle and supplementary angles, it is found that the measure of angle 1 is of 121º.

The sum of the three internal angles of a triangle is of 180º.

Hence, the measure of the remaining interior angle is given by:

60º + 61º + x = 180º

x = 59º.

Two angles are supplementary if the sum of their measures is of 180º.

An interior angle is supplementary with it's respective exterior angle, hence:

m<1 + 59º = 180º

m<1 = 121º.

The measure of angle 1 is of 121º.

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Answer:

Step-by-step explanation:

Looks like f(x, y) = cot⁻¹(xy), as in the inverse cotangent.

If you're like me and you don't remember the derivative of the inverse trig functions, we can derive it as follows. Let y = cot⁻¹(x), so that for appropriate x we can write cot(y) = x. By the chain rule, differentiating both sides gives

-csc²(y) y' = 1

y' = -sin²(y) = -sin²(cot⁻¹(x)) = - 1 / (x² + 1)

Next, recall that the derivative of a function f(x, y) at a point (a, b) in the direction of a vector v is given by

∇ f(a, b) • v

Compute the gradient ∇ f(x, y) :

∇ f(x, y) = - y / ((xy)² + 1) i - x / ((xy)² + 1) j

At the point P, we have

∇ f(x, y) = - 8/17 i - 8/17 j

So, the derivative of f at P along v = - 4 i + 5 j is

(- 8/17 i - 8/17 j) • (- 4 i + 5 j) = - 8/17

Answer:

m=slope  y = intercept

m= y2-y1 / x2-x1

       2-1   /   2-0  =  1 /2

now pick one of the points and put in for y and x

use (2,2)    2= 1/2(2) +b

                  2=1 + b

              2-1 =1-1 +b   subtract 1 from each side

                  1 = b   This is your y intercept

Step-by-step explanation:

The equation of the line passing through points  (0,1) and (2,2) will be y = ( 1 / 2) x + 1

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

The general form of the equation of the line:-

y = mx + c

m = slope

c = y-intercept

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Slope= 2-1   /   2-0  =  1 /2

Now pick one of the points and put in for y and x use (2,2).

2= 1/2(2) +b

2=1 + b

2-1 =1-1 +b   subtract 1 from each side

1 = b   This is your y-intercept

The equation will be written as:-

y = ( 1 / 2) x + 1

Therefore, the equation of the line passing through points  (0,1) and (2,2) will be y = ( 1 / 2) x + 1.

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Answer:

its C.

Step-by-step explanation:

omg that took forever to solve

Answer:

4x+4=-3x-10

   4x+3x=-10-4

      x= -14

Step-by-step explanation:

Answer:

x = -2

Step-by-step explanation:

P.E.M.D.A.S

4(x + 1) = 4x+4

now we have 4x + 4 = -3x - 10.

now we can combine like terms which are x

4x and -3x, to combine like terms we can either subtract 4x on both sides or -3x on both sides, but lets do 4x.

now we have this

4x + 4 = -3x - 10.

-4x          -4x

= 4 = -7x - 10

now we can isolate x by its self so we have to add 10 on both sides

4 = -7x - 10

+10       +10

and we get

14 = -7x

now we can divide -7 to get x by its self

14/-7 = -7/x

we get for our final answer

x = -2