2(x+5)=1/2(x-4)
Step by step

Answers

Answer 1

[tex]\text {Hello! Let's Solve this Problem!}[/tex]

[tex]\text {\underline {The First Step is to Simplify}}[/tex]

[tex]\text {2*x=2x}\\\text {2*5=10}\\\text {1/2*x=1/2x}\\\text {1/2*-4=-2}[/tex]

[tex]\text {Your New Problem Is: 2x+10=1/2x-2}[/tex]

[tex]\text {\underline {The Next Step is to Subtract 1/2x}}[/tex]

[tex]\text {2x+10-1/2x=1/2x-2-1/2x}[/tex]

[tex]\text {Your New Problem Is: 3/2x+10=-2}[/tex]

[tex]\text {\underline {The Next Step is to Subtract 10}}[/tex]

[tex]\text {3/2x+10-10=-2-10}[/tex]

[tex]\text {Your Final Problem Is: 3/2x-12}[/tex]

[tex]\text {\underline {The Final Step is to Multiply 2/3}}[/tex]

[tex]\text {2/3*3/2x=2/3*-12}[/tex]

[tex]\text {Your Answer Would Be:}[/tex]

[tex]\Huge\boxed {x=-8}[/tex]

[tex]\text {Best of Luck!}[/tex]

Answer 2

[tex] \huge\bf \underline{Solution:-}[/tex]

[tex]2(x + 5) = \frac{1}{2} (x - 4)[/tex]

[tex]⇒2x + 10 = \frac{x}{2} - \frac{4}{2} [/tex]

[tex]⇒2x - \frac{x}{2} = - \frac{4}{2} - 10[/tex]

[tex]⇒ \frac{4x - x}{2} = - 2 - 10[/tex]

[tex]⇒ \frac{3x}{2} = - 12[/tex]

[tex]⇒3x = - 24[/tex]

[tex]⇒x = - \frac{ 24}{3} [/tex]

[tex]⇒x = - 8[/tex]

[tex] \\ [/tex]

[tex] \sf \underline{Now, \: we \: are \: gonna \: do \: correction \: test :-} [/tex]

[tex]L.H.S. = 2 (x + 5) [/tex]

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 2( - 8 + 5)[/tex]

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 2 \times ( - 3)[/tex]

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = - 6[/tex]

[tex]R.H.S = \frac{1}{2} (x - 4)[/tex]

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{1}{2} ( - 8 - 4)[/tex]

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{1}{2} \times ( - 12)[/tex]

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = - 6[/tex]

[tex] \bold{ \therefore{L.H.S = R.H.S}}[/tex]

[tex] \sf \red{Hence, \: the \: value \: of \: x \: is \: - 8. }[/tex]


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HELP ILL GIVE BRAINLIEST determine the range of the following graph:

Answers

Answer:

(-2, 10]

Step-by-step explanation:

Answer:

22

Step-by-step explanation:

11 - (-11) = positive 22

and the range is the highest number subtracted by the lowest number

What travels in a pack but people say its alone

Answers

Answer:

A wolf?

Step-by-step explanation:

y'know like "lone wolf"

Answer:

A stamp, or a Dog.

Step-by-step explanation:

A stamp usually doesn't move, but goes to places.

A wolf is pity and people call them alone.

YES, I have no idea this is just a lucky guess lol

There are 16 cats and 14 dogs in a local animal shelter.

Which phrase describes a ratio relationship between the two quantities?
40 pointts
the number of dogs in the shelter compared to the number of cats in the shelter

the number of cats in the shelter compared to the number of dogs in the neighborhood


the number of dogs in the shelter compared to the number of rabbits in the shelter

the number of cats in the shelter compared to the number of cats in the shelter

Answers

Answer:

The number of dogs in the shelter compared to the number of dogs in the shelter.

Step-by-step explanation:

Answer:

The number of dogs in the shelter compared to the number of dogs in the shelter.

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I took the test

a chord of 12cm long of 8cm is away from the of the circle what is the lenght of the chord which is 6cm away from the centre

Answers

Answer:

The length of the chord is 16 cm

Step-by-step explanation:

Mathematically, a line from the center of the circle to a chord divides the chord into 2 equal portions

From the first part of the question, we can get the radius of the circle

The radius form the hypotenuse, the two-portions of the chord (12/2 = 6 cm) and the distance from the center to the chord forms the other side of the triangle

Thus, by Pythagoras’ theorem; the square of the hypotenuse equals the sum of the squares of the two other sides

Thus,

r^2 = 8^2 + 6^2

r^2= 64 + 36

r^2 = 100

r = 10 cm

Now, we want to get a chord length which is 6 cm away from the circle center

let the half-portion that forms the right triangle be c

Using Pythagoras’ theorem;

10^2 = 6^2 + c^2

c^2 = 100-36

c^2 = 64

c = 8

The full

length of the chord is 2 * 8 = 16 cm

WILL GIVE BRAINLIEST ANSWER QUICK PLZZ
For a warm up, Samuel runs 200 yards less than half the maximum distance he can run. This is represented by the equation r = 1/2x-200 where x represents the maximum distance he can run and r represents the distance run during his warm up. If Samuel ran 1,600 yards during his warm up, what is the maximum distance he can run?

3,600 yards


1,600 yards

2,400 yards


1,800 yards

Answers

Answer:

A or 3,600 yards

because it more than half of the max distance he can run

Step-by-step explanation:

It says For a warm up, Samuel runs 200 yards less than half the maximum distance he can run. Which means he can run MORE than half that amount and 3,600 yards is the only one that's even doubble the warm up distance

plz give brainliest

Answer:

3,600 yards

Step-by-step explanation:

1600 + 200

=1800 ( 2/1)

1/2 x -200

        + 200

= 1/2 x (2/1)

= 3,600 =x

2. Ken has a toy chest with Hot Wheels cars. He has 6 Camaros, 2 Lamborghinis, 4 Corvettes 8 Ferraris and 12 Mustangs. Ken wants to keep his little brother occupied while he does his homework. Ken reaches into the toy chest without looking and gets a car to give to his little brother. What is the probability that Ken will choose a Lamborghini or Corvette from his toy chest? Express your probability answer as a fraction, decimal and percent.

Answers

since the problem says “lamborghini OR corvette” you need to add the probability amount of both cars together. There are 2 lamborghinis and 4 corvettes, so 2+4=6. Now, put this number over the total amount of all cars. 6+2+4+8+12=32. So, the probability will be 6/32 which simplifies to 3/16. In decimal form this is .1875, and in percent form this is 18.75% (move the decimal 2 places to the right)
Lamborghini=
fraction = 2/32
Decimal = 0.0625
Percentage= 6.25%

Corvette=
Fraction= 4/32
Decimal=0.125
Percentage=12.5%

Help pleaseee! Greatly appreciated if you do

Answers

36% of 24..... or 0.36 times 24= 8.64
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Answers

Answer :

If you are asking what is x, it is

x=7

Step-by-step explanation:

Answer:

[tex]4x + 8 = 7x - 13 \\ 4x - 7x = - 13 - 8 \\ - 3x = - 21 \\ x = 7[/tex]

A stamp collector has 1,200 stamps, and 65% of them were produced after the year 2000. How many stamps were produced after the year 2000?

Answers

Answer:

780

Step-by-step explanation:

65% of 1,200 is 780 :)

Answer:

780

Step-by-step explanation:

65% x 1,200 = 780

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Answers

Answer:

x = 4

Step-by-step explanation:

The smaller triangle is an equilateral triangle, so all sides and angles are the same. We know that one side is labeled as 5, so all sides of that little triangle are 5.

The bigger triangle is an isosceles triangle because those two angles are marked as congruent. So, line JM and line KM are congruent as well.

The little triangle and the big triangle share side KM, so KM is equal to 5.

If JM is equal to KM and KM is equal to 5, JM is also five. That means:

x + 1 = 5

Subtract 1 from each side.

x = 4

And there we go.

What is equivalent fractions for 12/18?

Answers

Answer:

6/9; 4/6; 2/3

Step-by-step explanation:

You can divide the top and bottom by 2:

6/9

Or by 3:

4/6

Or by 6:

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Answer:

2/3

Step-by-step explanation:

Divide numerator and denominator by 6

x/5=3 what is the value of X

Answers

Answer:

15 = x

Step-by-step explanation:


Will give brainliest to anyone that answers please don’t scam!!! I really need help:(

Answers

The slope represents the the number of hours after the sunrise, and the y intercept represents the temperature
The linear function would y=4x+4
6.) y=4+ 10/5x
7.) y= -5 -3x

find the buying price when 5% sales tax is added on the purchase of 5kg of wheat at 20 per kg​

Answers

Answer:

$300

Step-by-step explanation:

5% of x + 5 kg = 20

0.05 * x + 5 = 20

0.05x + 5 = 20

0.05x = 20 - 5

0.05x = 15

x = 15 / 0.05

x = $300

Carli has 90 apps on her phone. Braylen has half the amount of apps as Theiss. If Carli has three times the amount of apps as Theiss, how many apps does Braylen have?

Answers

Braylen has 15 apps on his phone

Answer:

Braylen has 15 apps on his phone

Step-by-step explanation:

Carli has 3 times the amount of apps that Theiss does

So we divided 90 by 3

90 ÷ 3 = 30

Now we divide 30 by 2 to find out how many apps Braylen has, since he has half the amount of apps that Theiss does

30 ÷ 2 = 15

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1
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2

Answers

Answer:

Isaac earns 9.50 dollars per hour

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What is the area of rectangle ABCD?

Answers

Answer:

8 sq. units

Step-by-step explanation:

Length of AD= BC= 4 units

length of CD= AB= 2 units

Area of Rectangle ABCD = LENGTH× BREADTH

= 4×2= 8 sq. units

(A journey by bus takes 45 minutes at 60 km per hour. How fast must a car go to do the same
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Answers

Answer:

The car must drive at 108 km/h to cover the same journey.

Step-by-step explanation:

Given that:

Time taken by bus journey = 45 minutes = [tex]\frac{45}{60} = 0.75\ hour[/tex]

Speed of bus = 60 km/h

Distance of the journey = Speed * Time

Distance of the journey = 60 * 0.75 = 45 km

The car needs to cover 45 km in 25 minutes.

25 minutes = [tex]\frac{25}{60}\ hour[/tex]

Distance = Speed * Time

45 = [tex]\frac{25}{60}*Speed[/tex]

Speed = [tex]45*\frac{60}{25}[/tex]

Speed = 108 km/h

Hence,

The car must drive at 108 km/h to cover the same journey.

Drag and drop the constant of proportionality into the box to match the table.
If the table is not proportional, drag and drop "not proportional" into the box
X
0
3
6
9
у
0
2
4
6
3
not proportional
2.

Answers

Answer:

2/3

Step-by-step explanation:

To find the constant of proportionality in the set of data apply the formula for slope where;

m= Δy/Δx

Taking values such as {3,2} and {6,4} then

m= 4-2 / 6-3

m= 2/3

Increase £300 by 10%

Answers

Answer:

hi theanswer is £30

Step-by-step explanation:

to find ten percent you need to in this case take away the end 0 and your answer will be £30

HOPE IT HELPS YOU PLEASE MARK AS BRAINLIEST

i am terrible at math, so i might need some help with this

Answers

Answer:

A=143

Step-by-step explanation:

It is addition and subtraction here, so you will add the money into the bank account. If you also need B and C, it is -86 for B and 86 for C respectively

450 meals served at 75 campus cafeteria 98 had less than 10 grams of fat but not less than 350 calories;110 had less than 350 calories but not less than 10 grams of fat

Answers

Incomplete question. The remaining question read;

What percentage of meals had less than 10 grams of fat?  Round your answer to the nearest tenth of a percent.

Answer:

21.7%

Step-by-step explanation:

Remember, we are told that 98 out of the 450 meals served at 75 cafeterias had less than 10 grams of fat.

To calculate the percentage, we divide 98 by 450 and then multiply by 100:

[tex]\frac{98}{450}*100=[/tex] 21.7% approximately to the nearest tenth of a percent.

You're selling tickets to a school play priced at $5 for students, $10 for parents, and $20 for general admission. The total sales are $2,500, you sell twice as many parent tickets as student tickets, and you sell 10 more student tickets than general admission. How many of each ticket did you sell?

Answers

Answer:

250 $3 tickets and 100 $2 tickets were sold.

Answer:

1) 60 students, 120 parents, and 50 general admission

2) there are infinite real solutions

3) (29,2,20)

4) (20,60,32)

Step-by-step explanation:

did the quick check

x + 3 = -5
Equation for x

Answers

Answer:

x=-8

Step-by-step explanation:

x+3=-5

x=-5-3x=-8

[tex]x + 3 = - 5[/tex]

[tex]x = - 5 - 3[/tex]

[tex]x = - 8[/tex]

verification:

[tex]x + 3 = - 5[/tex]

[tex] - 8 + 3 = - 5[/tex]

[tex] - 5 = - 5[/tex]

I HAVE AN EASY QUESTION HERE!!

Answers

Answer:

5.9

Step-by-step explanation:

Could y’all help with the answer?

Answers

Answer:

8

Step-by-step explanation:

5 x 6 = 30

6 x 6 = 36

8 x 6 = 48

Answer:

8

Step-by-step explanation:

The answer is 8 because the scale factor is 6 so if you divide the side that is corresponding to x (in this case 48) you would divide it by 6 because 6 is the scale factor. Hopefully I make sense...

Hope this helps :D

The perimeter of the rectangle below is 42 inches. Find the value of X.
Please help

Answers

Answer:

x = 4

Step-by-step explanation:

42 = 5x + 5x + ( x - 3 ) + ( x - 3 )

42 = 12x - 6

48 = 12x

x = 4

Perimeter is the length around the rectangle (or any other shape). For rectangles, it's found by adding the side lengths. In this case, it required algebra to solve for x.

Answer:

x = 4

Step-by-step explanation:

The opposite sides of a rectangle are congruent.

The perimeter is the sum of the 4 sides, thus

2(5x) + 2(x - 3) = 42 ← distribute parenthesis and simplify left side

10x + 2x - 6 = 42

12x - 6 = 42 ( add 6 to both sides )

12x = 48 ( divide both sides by 12 )

x = 4

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