2x+4 (2x+7)= 3(2x+4)
solve x​

Answers

Answer 1
given:

[tex]2x + 4(2 x + 7) = 3(2x + 4)[/tex]

to find:

solve the ( x ).

solution:

[tex]2x + 4(2x + 7) = 3(2x + 4)[/tex]

[tex]2x + 8x + 28 = 6x + 12[/tex]

[tex]10x + 28 = 6x + 12[/tex]

[tex]4x + 28 = 12[/tex]

[tex]4x = - 16[/tex]

[tex]x = - 4[/tex]

Answer 2

2x+4(2x+7)= 3(2x+4)

2x+8x+28=6x + 12

10x+28=6x + 12

4x+28=12

4x= -16

x=-4


Related Questions

There are 1560 students enrolling at Green Woods middle school. If 85% of the students ride the bus, how many do not ride the bus

Answers

1560*0.85 = 1326

1326 people on bus

1560 - 1326 = 234

234 people did not ride the bus.

Answer:

234 students

Step-by-step explanation:

% Don't ride the bus = 100% - % Ride the bus

% = 100% - 85%% = 15%

Number of students who don't ride the bus :

1560 x 15%1560 x 3/2078 x 3234 students

HELPP is please it’s math

Answers

Answer:  

If the two side planks are equal lengths then the answer is 26 1/3.

help me with area please

Answers

Answer:

1-30ft (half circle) /60ft (full circle)

2-22in  (half circle) 44in (full circle)

3-19yd  (half circle) 38yd (full circle)

4-12yd  (half circle) 24 yd (full circle)

5-6in  (half circle) 12 in (full circle)

6 34ft  (half circle) 58 (full circle)

Give brainliest :)

what is the best estimate

Answers

Answer:

D. 8.5

Step-by-step explanation:

The full value of √8 is 8.48528137...

Hope this helped!

Using the table below, what is Tyson's take-home pay?
Tyson
Esmerelda Xavier
Annual Salary
$42,500
$60,000
$32,000
Federal Income Tax
$8500
$12,000
$6400
FICA
$3251
$4590
$2448
Disability Insurance
$2125
$3000
$1600
Life Insurance
$100
$150
$75
OA. $40,260
OB. $21,437
OC. $28,524
OD. $32,000
SUBMIT

Answers

The take-home pay of Tyson after deduction of his obligations from total income equals to $28,524.

What is a take-home pay?

This means the net income that an individual takes home.

Take-home pay = Annual Salary - Federal Income Tax - FICA - Disability Insurance - Life Insurance

Take-home pay = $42,500 - $8,500 - $3,251 - $2,125 - $$100

Take-home pay = $28,524

Thus, the take-home pay of Tyson after deduction of his obligations from total income equals to $28,524.

Therefore, the Option C is correct.

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please help help help meee

Answers

Answer:

Kaylaa   do you use  desmos graphing calculator?  it's an online graphsing tool and would make this very easy for you. Maybe you are not allowed to use a calculator?

Step-by-step explanation:

with out  a calculator it's a long math process,  1st because each of the equations are equal to  Y,  we can set each of them equal to each other. like this

[tex]\sqrt{x-8}[/tex] + 3  =  - [tex](x-5)^{2}[/tex] + 18

[tex]\sqrt{x-8}[/tex]     =  - [tex](x-5)^{2}[/tex]  +18 -3

[tex]\sqrt{x-8}[/tex]   =    - [tex](x-5)^{2}[/tex]  + 15

[tex]\sqrt{x-8}[/tex]   = -[ (x-5)*(x-5) ] + 15

[tex]\sqrt{x-8}[/tex]  = -[ [tex]x^{2}[/tex] - 10x + 25] +15

[tex]\sqrt{x-8}[/tex]  = -[tex]x^{2}[/tex] + 10x -25 +15

 [tex]\sqrt{x-8}[/tex] = -[tex]x^{2}[/tex] + 10x -10

-  [tex]\sqrt{x-8}[/tex]  = [tex]x^{2}[/tex] - 10x +10

(-  [tex]\sqrt{x-8}[/tex])^2  = (  [tex]x^{2}[/tex]- 10x +10)^2

this turns into a 4 order polynomial.   I used a solver to find x

x = 8.75884....  approx

so the question asks what is the point at the nearest 1000th,  which is 8.759  

then they ask what is the point at the nearest 100th, which is  

8.76

I'm attaching the graph, if it helps  :P

Part
The boat rental company gave a roaring team a discount of $10 oft for every
4 days of rental The team rented a boat for 12 days. Their couch paid 35%
of the total discounted rental cost. The remaining rental cost was divided
equally among the 15 team members
• Determine the total cost for the team to rent a boat.
• Determine the cost per team member.
Enter your answers and your work or explanation in the space provided
Math symbols
$10
Relations
Gearrety

Answers

Answer:

i really dont know, i need help with it too

Step-by-step explanation:

i am trying to find the horizontal distance between two towers. i don't understand how to put x=40/tan11.5 into the calculator and get the answer 196.6

Answers

By using trigonometric relations, we see that the horizontal distance is 196.6.

How to find the distance between the towers?

Remember the relation:

tan(a) = (opposite cathetus)/(adjacent cathetus).

In this case, the adjacent cathetus is the horizontal distance between the towers, the opposite cathetus is 40, and the angle is 11.5°.

Then we can write:

tan(11.5°) = 40/x

Solving for x:

x = 40/tan(11.5°)

This is the equation that you got, and it gives:

x = 40/tan(11.5°) = 196.6

Why you don't get this?

The problem may be that your calculator is in radians instead of degrees. It should say "DEG" instead of "RAD" if you want to evaluate trigonometric functions in degrees.

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Please answer and give full explanation.

Answers

the girls had a larger percentage of piano. 12 is larger then 8.

please please help please please help me asap help me asap

Answers

Answer:

its just like doing normal area just work it out then add the different sdhapes areas together

Step-by-step explanation:

length of a rectangular grarden is Im and the breadth is 6m. calculate its area in mm2

Answers

CALCULATE THE AREA

=LENGTH X BREADTH

=6M X 1M

[tex]6 {m}^{2} [/tex]

NOW CHANGE THE METRES TO MILLIMETRES

=1000MM=1M

SO,IF 1M=1000MM

THEN 6M=MORE

IF MORE LESS WILL DIVIDE

GIVING YOU

[tex] \frac{6}{1} \times 1000mm[/tex]

[tex]6000mm[/tex]

Which of the following lines are shown in the drawing?
LI
GJ
CJ
BE
FA
WILL MARK BRAINLIEST

Answers

Answer:

FA Is the closest so thats your answer.

Step-by-step explanation:

the table shows the total cost for the number of raffle tickets purchased. write an equation that represents the relationship between these two quantities. Use the equation to find the cost of 6 tickets

Answers

The total cost for the number of raffle tickets is given by y = 4x; while the cost of 6 tickets is $24

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Let y represent the total cost of x tickets.

From the table:

1 ticket cost $4, hence:

y = 4x

The cost of 6 tickets is:

y = 4(6) = 24

The total cost for the number of raffle tickets is given by y = 4x; while the cost of 6 tickets is $24

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a map has a scale of 2cm to 5km
rewrite the scale as a ratio in its simplest form.​

Answers

Answer:

1: 250 000

( There are 1000 metres in a km and 100 cm in a m, thus you multiply 5 km by 100 000 to convert it to cm, then you divide by 2 in order to get the simplist form of the ratio )

Evaluate:


-6 ÷ (-3)


0 ÷ 15


35 ÷ [(-25) + (-10)


[1 + (-2)] ÷ [(-3) + 4]


0÷ [2 - (-2)]

Answers

Step-by-step explanation:

the answer s correspond to the way the questions are arranged

-2

0

-1

-1

0

F(x,y) = 4 ; r is the region enclosed by the petal of a rose curve r = sin*2theta)

Answers

The area of the region enclosed by the petal of a rose curve r = sin2θ in the first quadrant is π/8 square units

What is integration?

It is defined as the mathematical calculation by which we can sum up all the smaller parts into a unit.

We know the area in the polar coordinates is given by:

[tex]\rm A =\int\limits^a_b {\dfrac{1}{2}r^2} \, d\theta[/tex]

We have r = sin2θ

Here the quadrant is not given, so we are assuming we need to find the area in the first quadrant.

Put this value in the above integration and limit 0 to π/2

[tex]\rm A =\int\limits^{\dfrac{\pi}{2}}_0 {\dfrac{1}{2}(sin^22\theta)} \, d\theta[/tex]

After solving the above integration, we get:

[tex]\rm A = \dfrac{\pi}{8}[/tex]

Thus, the area of the region enclosed by the petal of a rose curve r = sin2θ in the first quadrant is π/8 square units

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Which of the following systems is equivalent to the given system?
1/2x - 1/5y = 2
x+ 2/3 y = 5

A: 5 x - 2 y = 20 and 3 x + 2 y = 5
B: 5 x - 2 y = 20 and 3 x + 2 y = 15
C: 2 x - 2 y = 20 and 3 x + 2 y = 5

Answers

Answer:

Option B is correct.

Explanation:

1st Equation

Remove the denominators:

[tex]\sf \rightarrow \dfrac{1}{2}x - \dfrac{1}{5} y = 2[/tex]

make the denominator's same

[tex]\sf \rightarrow \dfrac{5}{10}x - \dfrac{2}{10} y = 2[/tex]

Join the fraction's:

[tex]\sf \rightarrow \dfrac{5x-2y}{10} = 2[/tex]

Multiply both sides by 10

[tex]\sf \rightarrow {5x-2y} = 20[/tex]

2nd Equation

Remove the denominators:

[tex]\rightarrow \sf x + \dfrac{2}{3}y =5[/tex]

make the denominator's same

[tex]\rightarrow \sf \dfrac{3x}{3} + \dfrac{2}{3}y =5[/tex]

Join the fraction's:

[tex]\rightarrow \sf \dfrac{3x+2y}{3} =5[/tex]

Multiply both sides by 3

[tex]\rightarrow \sf 3x+2y} =15[/tex]

Answer:

B)  5x - 2y = 20  and  3x + 2y = 15

Step-by-step explanation:

Rewrite both equations in standard form:

Equation 1

[tex]\dfrac{1}{2}x-\dfrac{1}{5}y=2[/tex]

Multiply both sides by 10:

[tex]\implies \dfrac{1 \cdot 10}{2}x-\dfrac{1 \cdot 10}{5}y=2 \cdot 10[/tex]

[tex]\implies \dfrac{10}{2}x-\dfrac{10}{5}y=20[/tex]

[tex]\implies 5x-2y=20[/tex]

Equation 2

[tex]x+\dfrac{2}{3}y=5[/tex]

Multiply both sides by 3:

[tex]\implies x \cdot 3+\dfrac{2 \cdot 3}{3}y=5 \cdot 3[/tex]

[tex]\implies 3x+2y=15[/tex]

Therefore, the equivalent system is:

5x - 2y = 20  and  3x + 2y = 15

Gianna rojas
megan, julie, and anna together made $18.75 raking
leaves. they used the equation 3n = 18.75 to determine
the amount of money each person would earn. what is the
value of n?

Answers

By dividing both sides by 3, we conclude that each person gets $6.25.

How to get the value of n?

Here we want to solve the equation:

3n = 18.75

for n.

Remember that if we perform the same operation in both sides of the equality, then the equality remains true.

So here we can divide both sides of the equation by 3, so we get:

(3n)/3 = 18.75/3

n = 18.75/3 = 6.25

n = 6.25

So we can conclude that each one gets $6.25

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Find the 12th term of the geometric sequence 4, 8, 16, ...

Answers

Answer:

8192

Step-by-step explanation:

The pattern is mulitply by 2 to get the next term

4*2=8

8*2=16

So: 4,8,16,32,64,128,256,512,1024,2048,4096,8192

A random sample of 102 students found that 4 out of 6 students brought a lunch to school instead of eating the cafeteria food.
At this rate, how many students would eat the cafeteria food if 510 students were in attendance?
____ students

Answers

The random sample is that where every result (student for the case) has the same probability to be selected.

Then you cannot use any method that select one student with preference.

Two possible valid methods are:

- Write the number of each student in separate papers, put all the papers in a closed box and  blind choose 102 papers.

- Assign a number to each student of the school and use a method to generate 102 random numbers.

Which of the following is a
composite number?
Enter a, b, c, d, or e.
a. 29
b. 37
C. 57
d. 41
e. 31

Answers

Answer:

C

Step-by-step explanation:

57 is a composite number

C) 57 as it is divisible to 3

If johns meal provided 50 grams of fat and 30 grams of protein how many calories in total did he consume

Answers

Answer: 570 total calories

Step-by-step explanation:

450 calories in 50 grams of fat

120 calories in 30 grams of protein

120 + 450= 570

Which of the following adjectives would best describe the life of a fur trapper?

A) predictable

B) solitary

C) refined

D) civilized

Answers

Answer:

B. Solitary

Step-by-step explanation:

Fur trappers often lived solitary lives in the woods.  They stayed there for months at a time.  Their life was not predictable, they might not find many animals in their area.  Their life was not refined, they lived in rough cabins in the middle of the forest.  Their life was not civilized, since they barely had many of the comforts of life.

What is the probability that a die will land on the number 5? Answer as a fraction only!

Answers

Answer:

[tex]P(5)=\frac{1}{6}[/tex]

Step-by-step explanation:

Since the number 5 appears once on a 6-sided die, then [tex]P(5)=\frac{1}{6}[/tex]

Evaluate arcsin(1) and arctan√3

Answers

The value of arcsin(1) is 90° and the value of arctan√3 is 60°

Evaluating trigonometric functions

From the question, we are to determine the values of arcsin(1) and arctan√3. That is, sin⁻¹ (1) and tan⁻¹(√3)

NOTE:

If sin x° = y, then sin⁻¹ y = x°

If cos x° = y, then cos⁻¹ y = x°

If tan x° = y, then tan⁻¹ y = x°

From the trigonometry table of values, we have that

sin 90° = 1

∴ sin⁻¹ (1) = 90°

arcsin(1) = 90°

Alos, from the trigonometry table of values, we have that

tan 60° =  √3

∴ tan⁻¹(√3) = 60°

arctan√3 = 60°

Hence, the value of arcsin(1) is 90° and the value of arctan√3 is 60°

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A box of facial tissues is 22cm by 10.5 cm by 8cm. How much cardboard is on the outside surface?

Answers

Answer:

1848 cm

Step-by-step explanation:

You would multiply 22 by 10.5 by 8 centimeters which would equal 1848 centimeters.

What is the value expression -255 + (-15)?
A) -25
B) -15
C) 15
D) 25

Answers

Answer:

first we all know that minus multiply by minus will give you plus so,

-255-15=-270

An ice cream shop sells 6 different flavors, 4 toppings, and 3 types of cones. How many different combinations of three different flavors, one topping, and one cone are possible?

Answers

Answer:

Step-by-step explanation:

1440.

Find the volume of the prism where B is the base area.

Answers

Answer:

V = 58.14 ft²

Step-by-step explanation:

the volume (V) of the prism is calculated as

V = Bh ( h is the perpendicular height )

here B = 11.4 and h = 5.1 , then

V = 11.4 × 5.1 = 58.14 ft²

Answer:

V = 58.14 ft³

Step-by-step explanation:

V = B × h

  = 11.4×5.1

  = 58.14 ft³

A student is asked to find the length of the hypotenuse of a right triangle. The length of one leg is 32 centimeters, and the length of the other leg is 21 centimeters. The student incorrectly says that the length of the hypotenuse is 7.3 centimeters. Answer parts a and b. a. Find the length of the hypotenuse of the right triangle to the nearest tenth of a centimeter. cm. The length of the hypotenuse of the right triangle to the nearest tenth of a centimeter is (Round to the nearest tenth as needed.)

Answers

Answer:

Step-by-step explanation:

You need the Pythagorean Theorem to solve this question. There is no be part.

Equation

c^2 = a^2 + b^2

Givens

a = 32

b = 21

c = ?

Solution

c^2 = a^2 + b^2              Substitute the values

c^2 = 32^2 + 21^2          Expand

c^2 = 1024 + 441            Combine

c^2 = 1465                     Take the square root of both sides

√c^2 = √1465  

c = 38.275

Answer: 38.3 rounded

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