If x = 3, find a balanced equation among the given equations
a.4x+2=15
b.4(x+1)+3=19
c.3(x+4)=17
d.5x+2=10​

Answer:

w = (30 - 5z)/4

Step-by-step explanation:

solve with inverse operations

4w + 5z = 30

-5z            -5z

4w = 30 - 5z

/4       /4

w = (30 - 5z) / 4

Answer:

w=15/2-5z/4

Step-by-step explanation:

4w+5z=30

4w=30-5z

Divide 4 on both sides

w=30/4-5z/4

w=15/2-5z/4

Answer:

Its A

Step-by-step explanation:

D is not 30 degrees its around 37

The expression A is equivalent to 30 degrees.

We have to determine whether the expression is equivalent to 30°.

Two rotation angles that have the same measure.

D is not 30 degrees it's around 37

The value of cos ^-1(root3/2) =30 degree

[tex]\frac{\sqrt{3} }{2}=cos(30^0)[/tex]

The expression is equivalent to 30 degrees.

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Answer:

d=2

Step-by-step explanation:

[tex] \sqrt{(5 - 3) {}^{2} + (2 - 2) {}^{2} } \\ \sqrt{(2) {}^{2} + (0) {}^{2} } \\ \sqrt{4 + 0} \\ \sqrt{4} \\ = 2[/tex]

Answer:

Step-by-step explanation:

"The number of miles Carlos travels (y) is directly proportional to the number of hours he drives (x)."In other words, for every hour Carlos drives, he travels 28.5 miles. This indicates a constant rate of travel, as the graph is a straight line with a fixed slope.

Since the graph is a straight line that passes through the origin (0,0) and the point (1, 28.5), we can determine the equation of the line using the slope-intercept form, which is y = mx + b, where m represents the slope and b represents the y-intercept.

To find the slope (m), we can use the formula:

m = (y2 - y1) / (x2 - x1)

Substituting the coordinates of the two points, we have:

m = (28.5 - 0) / (1 - 0)

m = 28.5 / 1

m = 28.5

So, the slope of the line is 28.5.

Since the line passes through the origin (0,0), the y-intercept (b) is 0.

Therefore, the equation of the line is y = 28.5x.

Based on this information, the statement that must be true is: "The number of miles Carlos travels (y) is directly proportional to the number of hours he drives (x)."

In other words, for every hour Carlos drives, he travels 28.5 miles. This indicates a constant rate of travel, as the graph is a straight line with a fixed slope.

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Answer:

Step-by-step explanation:

Answer Text

an equilateral triangle

a right angled triangle

an isosceles triangle

None of these

Answer :

A

Solution :

Acute angle between the lines x2+4xy+y2=0 is tan2(24−1−−−−√)/(1+1)=tan−13–√=tan−1π/3. Angle bisectors of x2+4xy+y2=0 are given by x2−y21−1=xy2

x2−y2=0⇒x=±y

As x+y=0 is perpendicular to x−y=4, so the given triangle is equilateral triangle

Answer:

Fraction of 25%=1/4

Decimal of 25%=0.25

Fraction of 50%=1/2

Decimal of 50%=0.5

Answer: C

Steps:  4x + y = -4,    x + y = 2

Isolate the x for (x + y = 2):       x = 2 - y

Plug the value of x into the other equation:   4(2 - y) + y = -4

Simplify: -4y + 8 + y = -4

Combine like variables (letters): -4y + y = -3y

So -3y + 8  = -4

Subtract eight from both sides: -3y + 8 - 8 = -4 - 8

-3y = -12

Divide both sides by negative three: -3y ÷ -3  =  -12 ÷ -3

Simplify: y = 4

Plug the value of y into one of the original equations (I'll use  x + y = 2):  

So x + 4 = 2

Isolate the x variable: x = -2

Answer:(-4,-3)

Step-by-step explanation:

if its rotates from -4,3 its going to move to quadrent 3 and in quadrent 3 is negitives thus it being -4,-3

The required image of the given point after 90° rotation is (-4, -3).

Given that,
To determine the image of the point (-4,3) under a rotation of 90 (counterclockwise) centered at the origin.

Coordinate, is represented as the values on the x-axis and y-axis of the graph. while the coordinate x is called abscissa and the coordinate of the y is called ordinate.

here,
Given point (-4, 3), located in the 2nd quadrat when rotating it by 90 counter-clockwise it will go into the 3rd quadrant is implied that the point will go through a transformation of (x, -y), so the image of the point is given as (-4, -3).

Thus, the required image of the given point after 90° rotation is (-4, -3).

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Step-by-step explanation:

sin^2 A = 1 - COS^2 A

SIN

[tex] {sin}^{2} + (1 - {cos}^{2} ). \frac{ {sin}^{2} }{ {cos}^{2} } [/tex]

hence proved

You add them to find the total, lining up the decimal points to add.

 55.7

+48.2                                                                                                                                                   ----------

103.9

The restaurant bought a total of 103.9 pounds of vegetables.

Hope this helps

Answer:

=26

=22

Step-by-step explanation:

[tex] \: \: \: x+x-4=48 \\ = 2x - 4 = 48 \\ = 2x = 48 + 4\\ = 2x = 52 \\ = x = 26 \\ \: \: \: \: \: \: \: \: \:= x - 4 = 26 - 4 = 22[/tex]

Answer:

Domain: { -4,-3,0,2,3}

Step-by-step explanation:

The domain is the input values

The range is the output values

Domain: { -4,-3,0,2,3}

Answer:

180=54,6+17,8+x(the third angle)

Step-by-step explanation:

The three angles in a triangle counted together always give 180 degrees. Therefore, you can use simple equation, in which you subtract the values of the two known angles from 180 (degrees) and the final number will be the value of thethird angle. In this case, it's

180-54,6-17,8=x

107,6=x

Answer:

I dont really know this one but I think it is x = (54.6 +17.8) ÷ 2. I donk know for sure tho.

Step-by-step explanation:

first question:

72 tickets were sold.

so... if 18 is 25%

18+18=36

then 36 would be 50%

36+36=72

so then 72 would be 100%

72*.25=18

second question:

27 striped shirts

60% of 45 is 27 so that means there are 27 solids, the remaining 18 are striped.

Answer:

  the ramp must be lowered

Step-by-step explanation:

Use the definition of the sine function to find the height of a ramp that is 8°.

  Sine = Opposite/Hypotenuse

  sin(8°) = height/8

  height = 8×sin(8°) = 1.11

The height Nate's dad allows is 1.11 feet. At 1.5 feet, the ramp is too high.

The ramp must be lowered.

Answer:

105

Step-by-step explanation:

its said that you used 7 tablespoons for 4 tablespoons for baking soda so i did 15X7 and that get you 105

The amount of usage of vinegar is 26 [tex]\frac{1}{4}[/tex] (26.25) tablespoons.

Calculations :

             produce a chemical reaction with

              7 tablespoons of vinegar                       =  4

              So , divide both :  15/4 = 3.75 = 3 3/4

                                          = 3.75 x 7 = 26.25 = 26 1/4 tablespoons

                                                                                          of vinegar

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Answer:

28.4707

Step-by-step explanation:

Answer:

-4

Step-by-step explanation:

open the bracket and after bring 3 to the other side

y=mX + c. c is the intercept on the y axis, while m is the slope

Answer:

8

Step-by-step explanation:

[tex]2^3\\=2*2*2\\=8[/tex]

Answer:

8.

Step-by-step explanation:

(2^3) means " two to the power of three' ,a.k.a. " What is two multiplied by itself three times, also known as two times two times two, which is 2 x 2 x 2.

Which is 8.

If x = 5, y = -3. evalue 3x-2y

Thus, substitute x = 5 and y = -3

3(5)-2(-3) = 15-(-6) = 15+6 = 21 #

Simplify 6x-20y+7z-8x+25y-11z

Subtraction and Addition, just subtract and addition of polynomial. Same variable subtract/addition with same variable.

Thus, (6x-8x)+(-20y+25y)+(7z-11z) = -2x+5y-4z #

Answer:

B

Step-by-step explanation:

its on edge

The trigonometric equation is given as y = 3 sin ( x/3 )

Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles

The six trigonometric functions are sin , cos , tan , cosec , sec and cot

Let the angle be θ , such that

sin θ = opposite / hypotenuse

cos θ = adjacent / hypotenuse

tan θ = opposite / adjacent

tan θ = sin θ / cos θ

cosec θ = 1/sin θ

sec θ = 1/cos θ

cot θ = 1/tan θ

Given data ,

Let the trigonometric equation be represented as y

The value of y = 3 sin ( 1/3 x)

y = 3 sin ( x/3 )

Now , Use the form a sin ( bx - c ) + d to find the variables used to find the amplitude, period, phase shift, and vertical shift

Substituting the values in the equation , we get

a = 3 and b = 1/3

And , the period of 3 sin ( x/3 ) = 6π

So , the function is f ( x ) = 3 sin ( x/3 )

Now , when x = 0 , f ( x ) = 0

when x = 3π/2 , f ( x ) = 3

when x = 3π , f ( x ) = 0

when x = 9π/2 , f ( x ) = -3

Therefore , the graph of the function f ( x ) = 3 sin ( x/3 ) is given below

Hence , the trigonometric equation is 3 sin ( x/3 )

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Answer:

K and H is my best answer

IHF and JKH

Answer:

<IHF and <LKH

Step-by-step explanation:

Corresponding angles are any pair of angles which are on the same side of two lines cut by a transversal. These lines must be parallel in order for the angles to be corresponding

There are many corresponding angles in this diagram:

<MKJ and <KHG

<MKL and <KHI

Answer: {x,y}={5,2}

Step-by-step explanation:

Answer:

the density is 25 grams

Step-by-step explanation:

Length of wood=9 cm

Volume of wood =9x9x9=729cm^3

Mass of wood(m) =23g

Density of wood =m/V

=23/729

=0.03 g/cm^3

The density of the cube of wood will be 0.32 grams per cubic cm.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

A cube of wood measures 9 centimeters on a side and weighs 23 grams. Then the density is a ratio of the weight to volume.

Denasity = Mass / Volume

The volume of the cube is given as,

V = 9³

V = 729 cm³

Then the density is given as,

D = 23 / 729

D = 0.32 gram / cubic cm

The density of the cube of wood will be 0.32 grams per cubic cm.

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Answer:

c≈15.07

Step-by-step explanation:

c=a2+b2=11.12+10.22≈15.07481

Answer:

x = 25

Step-by-step explanation:

.20x + .68(120 - x) = .54(120) (Distribute .68 to 120 and -x)

.20x + 81.6 - .68x = .54(120) (multiply .54 and 120)

.20x + 81.6 - .68x = 69.6 ( add .20x and -.68x)

-.48x + 81.6 = 69.6 ( subtract 81.6 on each side)

-.48x = -12 (divide -12 by -.48)

x = 25