solve the following equation 2x-7/4=x+3/3

Answer:

27

Step-by-step explanation:

Given that:

(15+17+22+14+19+x) divided by 6 = 19

(87 + x) divided by 6 = 19

87 +x = 114

so x = 27.

Therefore the age of person 6 = 27

Answer:

0.3° = 0.3π/180

8° = 2π/45

Multiplying both

0.3π/180×2π/45

3/10π/180 × 2π/45

You will get

π/300 × π/45

= π²/13500 where a = π² b= 13500

Hope this helps.

Answer: rays or lines

Step-by-step explanation:

Answer:

I believe the answer is: B.) lines

Hope this helps God bless!

Answer:

C. x²+12x+36

Step-by-step explanation:

Since a square's area is figures out with [tex]length^{2}[/tex] and since the length is x+6, then we get:

(x+6)²=

(x+6)(x+6)=

Use FOIL method.

First: x²

Outer: 36

Inner: 6x

Last: 6x

x²+36+6x+6x=

x²+12x+36

The answer that fits is C. x²+12x+36.

Answer:

C. x²+12x+36

hope this helped

Answer:

Out put would be - 2

Step-by-step explanation:

[tex]y = 3x \div 9 \\ y = \frac{3x}{9} \\ y = \frac{x}{3} \\ plug \: x = - 6 \\ y = \frac{ - 6}{3} \\ \huge \purple{ \boxed{ y = - 2}}[/tex]

Question:

The nth term of a sequence is [tex]\frac{3n^2}{2}[/tex] . Find the fifth term of the sequence

Answer:

The 5th term of the sequence is 37.5

Step-by-step explanation:

Given

[tex]nth\ term = \frac{3n^2}{2}[/tex]

Required

Find the 5th term

To find the 5th term, we simply substitute 5 for n in the above expression.

This gives

[tex]5th\ term = \frac{3 * 5^2}{2}[/tex]

[tex]5th\ term = \frac{3 * 5 * 5}{2}[/tex]

[tex]5th\ term = \frac{75}{2}[/tex]

[tex]5th\ term = 37.5[/tex]

Hence, the 5th term of the sequence is 37.5

Answer:

0; one real roots

* the answer is C

Answer:

[tex]x=\frac{\sqrt{13}-7 }{18} ,x=\frac{-\sqrt{13}-7 }{18}[/tex]

Step-by-step explanation:

I'm not too good with the quadratic formula so I'm going to complete the square.

First divide everything by 9 and move the 1 to the other side.

[tex]x^2-\frac{7}{9}=-\frac{1}{9}[/tex]

Then take half of [tex]\frac{7}{9}[/tex] and square it and add it to both sides.

[tex]x^2-\frac{7}{9} +\frac{49}{324}=\frac{13}{324}[/tex]

Now you can factor it.

[tex](x-\frac{7}{18})^2=\frac{13}{324}[/tex]

Square root:

[tex]x-\frac{7}{18}=\frac{\sqrt{13} }{18}[/tex]

[tex]x=\frac{\sqrt{13}-7 }{18} ,x=\frac{-\sqrt{13}-7 }{18}[/tex]

Answer:

log(x + 1)inverse function y(x) = e^x + 3 - 4

Answer:

1, 2, 4, 6 are true statements

Answer:

1)

40x + 70y ≤ 280 (red on the graph)

100x + 120y ≤ 1200 (blue on the graph)

2) see attachment

3) x=5, y=1

40*5 + 70*1 ≤ 280. 270 ≤280

x=3, y=2

40*3 + 70*2≤280, 260 ≤ 280

Answer:

Complete question:

Emily convinced her mom to buy a giant box of her favorite cereal. Her mom doesn't think the box will fit on their shelf. The volume of the box is 10,000 cm^3 cubed. The base of the box is 25cm by 10cm.

How tall is the box of cereal?

Answer: 40cm

Step-by-step explanation:

Given that :

A box is normally in the shape of a cube

formula of volume of a cube;

We want to find the height(tallness)

Volume=LengthxWidthxHeight

Volume = 10,000cm^3

Base of box = 25cm by 10cm,

Base of box = Length × width

Therefore:

Length = 25cm, Width = 10cm

Volume = Lengh × Width × Height

10,000cm^3 = 25cm × 10cm × Height

10,000cm^3 = 250cm^2 × Height

Height = 10,000cm^3 ÷ 250cm^2

Height = 40cm

Answer:

Expenditure x (in hundreds of dollars) = $2,000

Step-by-step explanation:

Given:

Profit p (in hundreds of dollars)

Expenditure x (in hundreds of dollars)

p(x) = -0.5x² + 20x + 23

Find:

Expenditure for advertising .

Computation:

x = -(Cofficient of x) / 2(Cofficient of x²)

x = -(20) / 2(-0.5)

x =  20

Expenditure x (in hundreds of dollars) = 20 × $100

Expenditure x (in hundreds of dollars) = $2,000

Answer:

x=-2

Step-by-step explanation:

To solve the equation, we want to find out what x is. In order to do this, we have to get x by itself. Perform the opposite of what is being done to the equation. Keep in mind, everything done to one side, has to be done to the other.

5x-5=9x+3

9x is being added to 3. The opposite of addition is subtraction, so subtract 9x from both sides.

5x-9x-5=9x-9x+3

5x-9x-5=3

-4x-5=3

5 is being subtracted from -4x. The opposite of subtraction is addition, so add 5 to both sides.

-4x-5+5=3+5

-4x= 3+5

-4x=8

x is being multiplied by 4. The opposite of multiplication is division, so divide both sides by -4.

-4x/-4=8/-4

x=8/-4

x= -2

Answer:

x=4 and y=11

Step-by-step explanation:

x+y=15

5x-y=9

x+5x-y+y=15+9

6x=24

X=4

x+y=15

4+y=15

y=11

Answer:

Number of people in a room

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

so it has to go down,cross 0,-7, and then go up

y-axis is vertical

and since its a negative it would be in the lower quadrants

pls mark me brainliest

Answer:

(x+3)^2 + (y-2) ^2 = 25

Step-by-step explanation:

Equation of a circle: (x-h)^2 + (y-k)^2 = r^2

Center at (h,k)

Radius=r

Notice that

(1 + x)(1 + y) = 1 + x + y + x y

So we can add 1 to both sides of both equations, and we use the property above to get

a + b + a b = 76  ==>  (1 + a)(1 + b) = 77

and

c + d + c d = 54  ==>  (1 + c)(1 + d) = 55

Now, 77 = 7*11 and 55 = 5*11, so we get

a + 1 = 7  ==>  a = 6

b + 1 = 11  ==>  b = 10

(or the other way around, since the given relations are symmetric)

and

c + 1 = 5  ==>  c = 4

d + 1 = 11  ==>  d = 10

Now substitute these values into the desired quantity:

(a + b + c + d) a b c d = 72,000

Answer:

21

Step-by-step explanation:

since we are looking for the value of x, we make it the subject of the formula(stand alone) and to do that + 13 would have to cross over the equality sign.when a positive number crosses over the equality sign it changes to a negative number .

Therefore,x +13=34

x=34 -13

x=21(d)

Answer:

0.14

Step-by-step explanation:

Answer:

600

Step-by-step explanation:

Given

equation t = 6n

n is term number

we have to find 100th term.

Thus, term number is 100

substituting 100 in place of n in equation t=6n , we can find the value of 100th term

t = 6*100 = 600

Thus, 100th term is 600.

Answer:

Step-by-step explanation:

There are but a few rules we have to follow when completing the square. However, they are very important rules so we have to be careful. First and foremost, the coefficient on the x-squared term HAS to be a positive 1. If it is not, we have to manipulate the function so it is a positive 1. Then we take half the linear term, square it and add it to both sides (and sometimes this can be very tricky. It is tricky here, so pay attention.)

We begin by separating the x terms from the constant by setting the parabola equal to 0 and moving the constant:

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

The coefficient on the x-squared is a negative 1, so we factor out the negative:

[tex]-(x^2+2x)=5[/tex]

The linear term is 2. We take half of 2 which is 1, square 1 to get 1 and add it into the left side. BUT don't forget that we have a -1 out front of the ( ) refusing to be ignored. It is a multiplier. That means that we didn't add in a +1, we added in -1(1) which is -1. That is what we add to the right side:

[tex]-(x^2+2x+1)=5-1[/tex] which simplifies to

[tex]-(x^2+2x+1)=4[/tex]

The reason for this process is that by completing the square you create a perfect square binomial on the left. We rewrite the parabola in terms of that perfect square binomial:

[tex]-(x+1)^2=4[/tex] which simplifies to

[tex]-(x+1)^2-4=y[/tex]

From this you can now determine that the vertex of the parabola is (-1, -4)

Answer:

(-5.5, 3.2)

Step-by-step explanation:

According to the question, the data provided in the question is as follows

(x,y) = (x + 4.5 , y -6.2)

Now

(x + 4.5 , y -6.2) = (-1,-3)

Therefore

x + 4.5 = -1

So, the x equals to

= -1 - 4.5

= -5.5

Now

y - 6.2 =  -3

So, the y is

= - 3 + 6.2

= 3.2

hence, the coordinates of point C of x and y is (-5.5, 3.2)

Therefore the third option is correct

Answer:

C

Step-by-step explanation:

Answer:

25 degrees

Step-by-step explanation:

The angle WRS for the given triangle will be ∠WRS = 25°.

An angle is a geometry in plane geometry that is created by 2 rays or lines that have an identical terminus.

The identical endpoint of the two rays—known as the vertex—is referenced as an angle's sides.

In another word, the angle is the measurement of the angular distance for example for linear motion we have a meter inch but for angular rotation, we don't have the measurement so the angle is useful to measure the angular rotation.

Given that the triangle has an angle as shown in the image

The angle TRW → 25x + 30 = 180 -5x

→ x = 5°

Now the angle WRS → 180 - ( 25x + 30)

∠WRS = 25° hence, the correct answer will be this.

For more about the angle

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the Answer is:

3/4x + 1/4

Answer:

y=3/4 x + 1/4

Step-by-step explanation:

y=mx+b

(5,4) first point

(-3,-2) second one

m=y2-y1/x2-x1 =-2-4/-3-5=-6/-8=-3/-4=3/4

find b when x=5 and y= 4

y=mx+b

4=3/4 (5) +b

4-15/4 =b

4 b=16-15

b=1/4

Answer:

Step-by-step explanation:I don't say u must have to mark my ans as brainliest but if it has really helped u plz don't forget to thnk me....

One-to-One Functions. ... If no horizontal line intersects the graph of the function f in more than one point, then the function is 1 -to- 1 . A function f has an inverse f−1 (read f inverse) if and only if the function is 1 -to- 1 .

Answer:  b) FALSE

Step-by-step explanation:

In order to show triangle congruency, you must be able to prove one of the following theorems:

SAS: Side-Angle-Side

SSS: Side-Side-Side

AAS: Angle -Angle-Side

ASA: Angle-Side-Angle

HL: Hypotenuse-Leg   (can only be used for right triangles)

We are only given information about two of the sides being congruent but no information on the third side or any of the angles so we canNOT prove the triangles are congruent.