What is the solution to the equation
1/2x+3 = 2/3+1?

Answers

Answer 1

Answer:

x = -8/3

Step-by-step explanation:

1/2x+3 = 2/3+1

Combine like terms

1/2x+3 = 2/3 + 3/3

1/2x + 3 = 5/3

Subtract 3 from each side

1/2x + 3-3 = 5/3 - 3

1/2x = 5/3 - 9/3

1/2x = -4/3

Multiply each side by 2

1/2x *2 = -4/3*2

x = -8/3


Related Questions

examples of spiral motion

Answers

Answer:Examples of Spiral Movement are:

Step-by-step explanation:

1)Cyclone

2)Spiral fern

The examples of a spiral motion include cyclone, motion of electron in uniform magnetic field.

What is spiral motion?

The path of a point in a plane moving around a central point while continuously receding from or approaching it.

Given is a spiral motion.

The examples of a spiral motion include cyclone, motion of electron in uniform magnetic field.

Therefore, the examples of a spiral motion include cyclone, motion of electron in uniform magnetic field.

To solve more questions on spiral motion, visit the link below -

https://brainly.com/question/11020427

#SPJ2

Can someone please answer the question in the picture?

Answers

Answer:

c = 68

Step-by-step explanation:

Use pythagorean theorem, which states that [tex]a^{2} +b^{2} =c^{2}[/tex].

In this diagram, we are given the values of a and b.

a = 32      b = 60

Simply put these into the equation.

(32)^2 + (60)^2 = c^2

1024 + 3600 = c^2

4624 = c^2

Find the square root of both sides to solve for c.

[tex]\sqrt{4624}[/tex] = c

c = 68

Marie wants to know the most popular car for parents. She plans to survey the people shopping at the used car lot from 10 AM to 11 PM. Which statement below best reflects Marie’s plan?
A) Marie’s sample is valid
B) Marie should also survey people entering the grocery stores.
C) Marie’s sample is biased
D) Marie should make sure she surveys both men and women.

Answers

Answer:

This is biased.

Step-by-step explanation:

A used car lot tends to have cheaper cars, so people who can't afford brand new cars come here to buy used cars.

Please answer CORRECTLY !!!!! Will mark brainliest !!!!!!!!!!

Answers

Answer:

5x² + 10

Step-by-step explanation:

5(x² + 2)

= 5x² + 10

plz help will give brainiest cuz like u r duh lol!

Answers

Answer:

C

Step-by-step explanation:

-4d is greater or equal to -12

d is less  than  or equal to 3

Answer:

c

Step-by-step explanation:

c is the answer

What is the value of 7C2?

Answers

7!/2!

Step-by-step explanation:

nCr=(nr)=n!r!(n−r)! 7C2=(72)=7!2!(7−2)!=7!2!⋅5!=50402⋅120=5040240=21.

20 POINTS- EASY
8. Luisa invests $1900 for 4 years and earns $152 in simple interest. What is
the interest rate as a percent?
A. 2%
B. 4%
C.6%
D. 102%​

Answers

Answer:

2%

Step-by-step explanation:

1900(x)^4= 1900+152

1.019 and is closer to 2%

Simple interest= (principal x Rate x time)/100
Rearrange the formula to get the rate
(Simple interest x 100)
———————————— = Rate
Principal x time

$152 x 100
—————- = Rate
1900 x 4

15200
———- = Rate
7600

Rate = 2%

pls help brodddddda for da brainliest

Answers

Answer:

a) 21, 24, 29

b) 5 terms in the sequence are less than 50

Step-by-step explanation:

[tex]t_n = n^2+20\\t_1 = 1^2+20 = 1+20= 21\\t_2 = 2^2+20 = 4+20= 24\\t_3 = 3^2+20 = 9+20= 29\\\\\\t_5 = 5^2+20 = 25+20= 45\\\\\\t_6 = 6^2+20 = 36+20= 56\\[/tex]

Since, 5th term is less than 50 and 6th term exceeds 50, therefore 5 terms in the sequence are less than 50.

when graphed which equation will yield the same maximum value as the graph of y = -3x^2 + 6x + 9 ?
a) y = -3(x - 1)^2+12
b) y = -3(x + 1) ^2 - 12
c) y = 3(x - 1)^2 -12
d) y = 3(x + 1)^2 + 12

Answers

Answer:

A

Step-by-step explanation:

Graphed below are all 5 graphs. The one in red is the original, but it cannot be seen because it is entirely concealed by the blue graph, or graph A. Since they are the same graph, they must share all characteristics, including a maximum value. Therefore, the correct answer is choice A. Hope this helps!

Answer:

-3(x - 1)^2+12

Step-by-step explanation:

Have a good day :)

Helppppppp Asappppppp

Answers

Answer:

All of them

Step-by-step explanation:

2/2 is 1, and if the shaded part is 2/2, everything would be shaded.

Answer:

A, B, C, D

Step-by-step explanation:

2/2 is equivilant to 1. This means that to be equvilant to 2/2 the entire diagram would have to be shaded in.

Hope this helps! (Please consider giving brainliest)

Heather is flying a kite at the park. The string makes an angle of 53° with the level ground. The kite is 28 meters above the ground. How long is the string from heather.To the kite?

Answers

Answer:

35.06 meters

Step-by-step explanation:

This represents a right angled triangle.

The height of the kite above the ground represents the opposite side while the length of the string of the heather of the kite is the hypotenuse.

We need to find the hypotenuse, h.

We can use the sine part of the trigonometric function SOHCAHTOA:

sin(Ф) = opp / hyp

where opp is the side opposite the angle

hyp is the hypotenuse

=> sin(53) = 28 / h

h = 28 / sin(53)

h = 35.06 meters

The length of the string from the heather to the kite is 35.06 meters

PLEASE HELP!
Which shape contains exactly three congruent sides?

A. Scalene triangle
B. Equilateral triangle
C. Isosceles triangle
D. Right triangle

Answers

Answer:

B. Equilateral triangle

Step-by-step explanation:

The shape that contains exactly three congruent sides is an equilateral triangle.

What is the inverse of f(x) =1/3x +3​

Answers

Answer:

h(x) = 3x - 6

Step-by-step explanation:

To find the inverse of a function, you have to switch the x- and y-values.

y = 1/3x + 2

x = 1/3y + 2

(x) - 2 = (1/3y + 2) - 2

x - 2 = 1/3y

(x - 2)(3) = (1/3y)(3)

3x - 6 = y

y = 3x - 6

What is the simplified expression for the expression below? Negative one-fifth (5 x + 20) minus one-fourth (4 x minus 28) –2x + 3 –2x – 3 –2x – 8 –2x + 8

Answers

Answer:

Hello, the answer to this question is A the other person is wrong

Step-by-step explanation:

Answer:

A) –2x + 3

Step-by-step explanation:

A bag has 10 pens in it: 4 black, 3 blue, 2 green and 1 red
You randomly choose one pen from the bag and give it to Maria (who keeps it). You then randomly choose another
pen from the bag and give it to Ahmed. What is the probability that Maria gets a black pen and Ahmed gets a red
pen?
45
O
0 1 / 2
cation
Ri
E
w
9
Chip

Answers

So chance to get a black pen: 4/10=2/5
Chance to get a red pen: 1/10
Chance for the two happened at the same time
2/5 * 1/10 = 2/50=1/25

I think... I’m not very sure though

find the value of x

m<2 = 9x - 1​

Answers

Answer: x=9

Step-by-step explanation:

The bottom triangle that has a 40° is an isosceles triangle, therefore the other angle at the bottom right is also 40°. This leaves the top angle to be 100°.

180=40+40+x

180=80+x

x=100

Now, to find ∠2, you can tell it is a supplementary angle. Therefore, the 2 angles add up to 180°

180-100=∠2

80°=∠2

The problem states that ∠2 is 9x-1. We know that ∠2 is 80°. We can solve for x.

80=9x-1

81=9x

x=9

PLS HELP!!!!
EMERGENCY!
What is the exponential regression equation for the data set?
X: 1, 3, 5, 7, 9, 11, 13
Y: 12, 21, 29, 36, 44, 58, 67

(A) yˆ=12.85⋅1.15x

(B) yˆ=12.85⋅0.15x

(C) yˆ=1.15⋅12.85x

(D) yˆ=(1.15⋅12.85)x

Answers

Answer:

B, i'm not quite sure though i hope this helped

Step-by-step explanation:

Answer:

its A

Step-by-step explanation:

I just took the test

The endpoints of a segment are (4,2) and (7,4). What are the endpoints of the segment after it has been translated 3 units to the right? A. (1,2), (4,4) B. (4,2), (10,4) C. (4,5), (7,7) D. (7,2), (10,4)

Answers

Answer:

The endpoints of the segment are (7,2) and (10,4).

Step-by-step explanation:

Since it is being translated to the right, you add 3 to both x values.

Answer:

DDDD

Step-by-step explanation:

got it right on edge <3

What is the measurement of angle A to the nearest degree?

Answers

The measurements of angle A is 51 degrees
The measurement of angle A is 51 degrees

The Hernandez family built a backyard patio. The width and length of the patio are whole numbers. What could be the dimensions of the patio if the area is 50 square feet? Pls help me due in 10 min!! Thanks

Answers

Answer:

10ftx15ft could be possibility.

Step-by-step explanation:

the area of square abcd is 7cm^2

show that x^2+4x=3

Answers

Answer:

see explanation

Step-by-step explanation:

The area (A) of the square = s² ( s is the measure of the side )

Here s = x + 2 and A = 7 , thus

(x + 2)² = 7 ← expand left side using FOIL

x² + 4x + 4 = 7 ( subtract 4 from both sides )

x² + 4x = 3 ← as required

Answer:

(x + 2)² = 7  

x² + 4x + 4 = 7  

x² + 4x = 3

Step-by-step explanation:

Can someone help me on this

Answers

Answer:

The new area is 20.75 square

Step-by-step explanation:

SOMEONE PLEASE HELP ME!

Answers

Answer:

-7 and 3

-5 and 1

-3 and -1

They all give the same total i.e. -4

Answer:

-7 and 3

-5 and 1

-3 and -1

Step-by-step explanation:

The total is -4

Work out the length of BC .

Answers

Answer:

10

Step-by-step explanation:

Use the Pythagorean theorem: a^2+b^2=c^2 to find the hypotenuse

a=6

b=8

6^2+8^2=c^2

36+64=c^2

100=c^2

10=c

Hope this helps! :)

Answer:

10 cm.

Step-by-step explanation:

By Pythagoras:

BC^2 = 6^2 + 8^2

BC^2 = 100

BC = 10.

choose the correct congruence statement for the figure shown​

Answers

Answer:

  see below

Step-by-step explanation:

In order by increasing number of angle marks, the vertices of the lower triangle are ...

  I H G

In the same order, the vertices of the upper triangle are ...

  H I E

Using these as the names of the triangles, we can write the congruence statement ...

  ΔIHG ≅ ΔHIE . . . . . matches the 2nd choice

At a party, everyone shook hands with everybody else. There were 66 handshakes. How many people were at the party?


Answers

Answer:

There were 12 people at the party

Answer:

Step-by-step explanation:

Other answers have already shown that there are  n=12  people at the party, either using combinatorial choose notation

(n2)=n!2!(n−2)!=66  

or by counting handshakes person by person, noting that each successive person has one fewer unique handshake than the prior (as the previously counted people are disregarded), and then using the sum-of-consecutive-integers formula to get

(n−1)+(n−2)+...+2+1=∑n−1k=1k=(n−1)n2=66  

and solving for n .

Here I will provide another method of arriving at n(n−1)2=66.

Instead of keeping track of unique handshakes from the start, note that each person shakes hands with  n−1  other people. As there are n  people at the party, this gives us n(n−1)  handshakes. However, notice that we counted each handshake twice; for example, if Alice and Bob shook hands, we counted that once for Alice, and then again for Bob. To account for the double-counting, we can divide by  2, which gives us the previously mentioned formula of n(n−1)2.

As a side note, if we did not previously know the sum formula, we could use this as a combinatorial proof to show that it works. Also, if we account for repeated counting by dividing by k! , the number of permutations of k  objects, a similar method can be used to derive the chosen formula  (nk)=n!k!(n−k)!.

complete the table of values for y=2x+3
[tex]\left \{ {{x=-2 -1 0 1 2 3} \atop {y= 1 7}} \right.[/tex]

Answers

[tex]y = - 2047 \\ x = - 10125[/tex]

Step-by-step explanation:

[tex]y = 2x + 3 \\ x = - 2 - 10123 \\ x = - 10125 \\ y = 2( - 10125) + 3 \\ y = - 20520 + 3 \\ y = - 20247[/tex]

I NEED HELP PLS PLS PLS
MEAN OR MEDIAN
IQR OR MAD

Answers

Answer:

mean and range

Step-by-step explanation:

Choose the answer that expresses the area of this square as a trinomial ( 2y+ 3) and ( 2y+3)

Answers

Answer:

4y^2 + 12y + 9

Step-by-step explanation:

Unclear what your (2y + 3) represent.  If it's the length of one side of the square, please say so.

If that's the case, then the area of the square is (2y + 3)^2, or 4y^2 + 12y + 9, which is a trinomial.

Solve for c.

3 − 7c − 20c = 7(–7c − 19) + 14c

c =

Answers

Answer:

[tex] \boxed{c = -17} [/tex]

Step-by-step explanation:

[tex] = > 3 - 7c - 20c = 7( - 7c - 19) + 14c \\ \\ = > 3 - 27c = ( - 7c \times 7) - (7 \times 19) + 14c \\ \\ = > 3 - 27c = - 49c - 133 + 14c \\ \\ = > 3 - 27c = - 35c - 133 \\ \\ = > 3 - 27c + 35c = - 133 \\ \\ = > 3 + 8c = - 133 \\ \\ = > 8c = - 133 - 3 \\ \\ = > 8c = - 136 \\ \\ = > c = - \frac{136}{8} \\ \\ = > c = - 17[/tex]

Answer:

c = -17

Step-by-step explanation:

→Distribute the 7 to (-7c - 19):

3 - 7c - 20c = -49c - 133 + 14c

→Add like terms (-7c and -20c, -49c and 14c):

3 - 27c = -35c - 133

→Add 35c to both sides:

3 + 8c = -133

→Subtract 3 from both sides:

8c = -136

→Divide both sides by 8:

c = -17

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