solve the following

1) 2(x + 3) = x - 4
2) 4(5x-2) = 2(9x+3)

PLS HELP ​

Answers

Answer 1

Answer:

(1) [tex]x = -4[/tex] (2) [tex]x = 7[/tex]

Step-by-step explanation:

From the first equation:

[tex]2(x + 3) = x - 4\\\implies x = 2(x + 3) + 4\\\implies x = 2x + 6 + 4\\\implies x = 2x + 4\\\implies -4 = 2x - x\\\implies x = -4[/tex]

From the second equation,

[tex]4(5x - 2) = 2(9x + 3)\\\implies 20x - 8 = 18x +6\\\implies 20x - 18x - 8 -6 = 0\\\implies 2x -14 = 0\\\implies 2x = 14\\\implies x = \frac{14}{2} = 7[/tex]


Related Questions

The measures of the angles of a triangle are shown in the figure below. Solve for x.

Answers

Answer:x=3

Step-by-step explanation:

the 3 angles of a triangle equal 180

you add 105 and 46, which equals 151

you subtract 151 from 180 to see what the missing angle is (29)

you would make 6x+11 equal to 29

-subtract 11 from 29= 18

6x/6, 18/6

the answer is 3

hope this helps! :)

PLEASE ANSWER HONESTLY (PLEASE BE HELPFULL I HAVE BEEN STUCK ON THIS PROBLEM) WILL MARK BRANIEST IF CORRECT. (no links my computer is slow and no ctrl c ctrol v if possible
Given a right triangle with leg lengths f and g, and hypotenuse h, if f = 6 inches and g = 8 inches, what is h

Answers

Answer:

I put the answer as a picture because it wouldn't let me write out the equations and use some characters :(

Step-by-step explanation:

Hopefully this helped :))

Hans wanted to find the length of the hypotenuse of the triangle. Which statement correctly identifies his error?

A right triangle has side lengths 40 centimeters and 9 centimeters. The hypotenuse is labeled c.

9 squared + 40 squared = c squared. 81 + 80 = c squared. 161 = c squared. StartRoot 161 EndRoot centimeters = c.
He did not square 40, he just multiplied by 2.
He did not finish the problem. He should have divided 161 by 2 to find the square root.
He should have added 9 + 9 to find the value of 9 squared.
He should have subtracted the two squares to get 40 squared minus 9 squared = c squared because numbers get too large if both legs are squared and then added together.

Answers

Answer:

He did not square 40, he just multiplied by 2

Answer 41 centimeters.

Step-by-step explanation:

C²=40²+9²

C²=1600+81

C²=1681

√c²=√1681

C=41cm

Answer:

the answer is A

Step-by-step explanation:

edg

Lucas is borrowing money to purchase a vehicle. A car dealership will loan Lucas $18,000 with a simple interest rate of 14.5% applied annually, and a 5-year payout plan. The bank will loan Lucas $18,000 with a compound interest rate of 8.9% applied annually and a 4-year payout plan. What is the difference in the total payback amounts?

Answers

Answer:

Difference in total payback = $5734.64

Step-by-step explanation:

Formula for the simple interest payout,

Interest = [tex]\frac{P\times r\times t}{100}[/tex]

P = Principal amount of loan

r = rate of interest (Annually)

t = Duration for the payment

Interest = [tex]\frac{18000\times 14.5\times 5}{100}[/tex]

             = $13050

Total payable amount = 18000 + 13050

                                     = $31050

Formula for the amount payable with compound interest,

Final amount = [tex]\text{Initial amount}(1+\frac{r}{n})^t[/tex]

Here, t = Duration of investment

r = rate of interest (Annual)

n = Number of compounding per year

Payable amount = [tex]18000(1+\frac{0.089}{1})^4[/tex]

                           = 18000(1.089)⁴

                           = $25315.36

Difference in total payback = $31050 - $25315.36

                                              = $5734.64

If Lucas takes the 5-year payment plan he will end up paying $31,050. If Lucas takes the 4-year payment plan he will end up playing $24,408. Hope it helps.

Sam is making wheels for tricycle. He can make 400 wheels in 2 hours. how many hours will it take him to make 1,000 wheels.

Answers

Answer:

5 hours.

Step-by-step explanation:

800 wheels in 4 hours.

Half of 400 is 200.

Half one 2 is 1

So 1000 wheels. 5 hours.

Solve for k:
k over 6.12 = 8.7

1. k = 53.244
2. k = 1.42
3. k = 2.58

Answers

Answer:

1. k=53.244 or k=13311/250

What is an equation of the line that passes through the points (0,5) and (-5,7) Put your answer in fully reduced form

Answers

Answer:

y = 2/5x + 5

Step-by-step explanation:

I assume you want the equation in point slope form? So assuming that, (0, 5) is the y intercept which is b in the equation y=mx+b (b=5). Now you have to find the slope, paper is really handy (I like drawing a graph out to help me sometimes but an easy way to do it is another equation like this...

y2-y1/x2-x1=

7-5/-5-0=

2/5 --> So 2/5 is the slope, and that finishes the equation

Final equation in point slope form: y=2/5x+5

HOPE YOU UNDERSTAND NOW!!!! :)

The equation of the line that passes through the point (0, 5) and (-5, 7) is

y = - 2/5 x + 5

The equation can be represented in the slope intercept form below

y = mx + b

where

m = slope

b = y- intercept

(0, 5)(-5, 7)

The slope can be found below

m = 7 - 5 / -5 - 0  = 2 / -5 = - 2/5

Therefore, using y = mx + b format

y = -2/5 x + b

let's find b using the coordinate  (0, 5)

5 = - 2 /5 (0) + b

b = 5

Finally, the equation is

y = - 2/5 x + 5

read more: https://brainly.com/question/16569095?referrer=searchResults

Angel uses 1/8 cup of sugar for 1/3 of a recipe. How much sugar is needed if Angel makes the entire recipe twice?

Answers

Answer:

3/4 cups of sugar

Step-by-step explanation:

So we know that 1/8 cup of sugar is for 1/3 OF a recipe.

So if we want the full recipe we jsut have to multiply 1/8 by 3 since its only worth 1/3 of the recipe.

You’ll get 3/8 cups of sugar for a whole recipe. The question asks for 2 full recipes and since we already know it takes 3/8 cups for one we can multiply that by 2 to find the amount of sugar needed for 2 full recipes.

You’d get 6/8 cups of sugar.

Simplified: 3/4

Parallelogram Problem

Answers

Answer:

x=6, AB=13, y=10, AD=13, P=46

Step-by-step explanation:

3x-5=x+7

2x=12

x=6

AB: 3(6)-5= 13

2y-7=y+3

y=10

AD: 10+3=13

Perimeter= 13+13+10+10=46

1 picture 2 questions please and thank you

Answers

Answer:

Step-by-step explanation:

The scale of a map says that 6 cm represents 15 km,
What is the actual number of kilometers that is represented by 16 cm on the map

Answers

The answer is 40 km I think

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Answers

Answer:

what does that mean?

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wasd is the moving mechanics in minecraft

need some help please

Answers

Answer:

A(t)+900=x

B(t)+500=x

for the sake of things X represents the answer and as both need to equal the same it works out so that plugging it into a calculator should give you the answer

Step-by-step explanation:

you could start by making a T chart on one Side A the other B starting with 900 at A and 500 at B go down by the appropriate increments 950, 600;1000, 700; 1050, 800; 1100, 900, 1150, 1000; 1200, 1100; 1250, 1200, and you guessed it, 1300, 1300. so there you go X=1300

find the value of given expression

[tex] \sqrt{35 \times 35} [/tex]

Answers

35 is the answer to the question

Please help I will mark you brainliest !

Answers

a. y=-2.5x+50

b. slope=-2.5. y-intercept=50

Answer:

slope is -2.5

y-intercept is (0,50)

slope y-intercept is y= -2.5x + 50

Step-by-step explanation:

to find the slope you use rise/run the rise is 5 and the run is -2 which is 5/-2 or -2.5

the y-intercept is where the line hits a perfect point on the y-axis which would be at 50 in your case

y=mx+b

m= slope and b= y-intercept

why is m the slope? because the slope is the unknown variable

hope this helps :) (i tried to explain it as best as i could) have a nice day !!

Find the value of X
PLEASE HELP ASAP!!!!!

Answers

Answer:

-10

Step-by-step explanation:

the upper right is the same (105°), therefore the left 75°

now you have 180 = 75 + x + 115

therefore: -10

Find the measure of arc LM.

Answers

Answer:

arc LM = 119°

Step-by-step explanation:

KL = LM

arc KL = arc LM

2(arc LM) = 360° - 122° = 238°

arc LM = 119°

If you are finding the range of a data set, are you finding a measure of center or a measure of variation?

center
variation

Answers

Answer:

i think variation

Step-by-step explanation:

You have to type up a 400 word paper. If you can type 25
words in 3 minutes, how long will it take you to type the
paper?

Answers

Answer:

48 minutes

Step-by-step explanation:

25=3 400/25=16x3=48

Answer:

48 minutes

Step-by-step explanation:

25 words - 3 minutes

400 words - x minutes

Cross multiply

25x = 400 x 3

25x = 1200

Divide both sides by 25

x = 1200/25

x = 48

How many solutions does this equation have?
7a + 5 (a + 3) = 8a + 4 (a + 2)

Answers

Answer:

[tex]no \: solution[/tex]

Step-by-step explanation:

1) Expand.

[tex]7a + 5a + 15 = 8a + 4a+ 8[/tex]

2) Simplify 7a + 5a + 15 to 12a + 15.

[tex]12a + 15 = 8a + 4a+ 8[/tex]

3) Simplify 8a + 4a + 8 to 12a + 8.

[tex]12a + 15 = 12a + 8[/tex]

4) Cancle 12a from both sides.

[tex]15 = 8[/tex]

5) Since 15 = 8 is false, there's no solution.

[tex]no \: solution[/tex]

Therefor, this equation has no solution.

can somebody help me please ​

Answers

Answer:

Step-by-step explanation:

a - 7 = 3(b + 2)

a - 7 = 3b + 2*3

a - 7 = 3b + 6           {Subtract 6 from both sides}

a - 7 - 6 = 3b

a - 13  = 3b         {Divide both sides by 3}

[tex]b =\frac{a-13}{3}[/tex]

Does anyone know this answer???

Answers

Answer:

VX has the greatest length

The answer is B which is VX

Drake produced 52 songs last year. If each new album has 15 songs on it, how many of his songs were not released on an album?

Answers

Answer:

7

Step-by-step explanation:

If each album has 15 songs, 15 * 3 = 45 so 52 - 45 = 7. Therefore, Drake produced 7 songs not in an album.

Please answer correctly !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!

Answers

Answer:(-6.5,-5)

Step-by-step explanation:

 P = (3A +1B)/(3+1)

 P = (3(-7, -9) +(-5, 7))/4 = (-21-5, -27+7)/4 = (-6.5, -5)

hiii please help i’ll give brainliest thanks

Answers

Answer:

The answer is 5 beecause coefficients are the number when you multiply a number and a variable. For example 5a the coefficient in that term is 5 if you have 48e the coefficient is 48. So the coefficient is the number when you multiply a number times a variable.

Please help me with this

Answers

Answer:

i cant see it...

Step-by-step explanation:

...

find the values of x and y.​

Answers

X=60 Y=60. Hope this helps

Answer:

x= 60° , y = 60 °

Step-by-step explanation:

x = 60°

y = 60°

plz mark my answer as brainlist plzzzz.

hope this will be helpful to you .

if you find it useful.

in a raffle, one ticket will win a $530 prize, four tickets will win a $500 prize, ten tickets will win a $160 ze, and the other tickets will win nothing. There are 1,000 in the raffle. If you have a ticket, what is e expected payoff? ​

Answers

The ticket William win a R530 prize for four tickets will win a a 500 prize

HELP PLEASE AND NO LINKS!!!!!!

The length of a rectangle is twice its width. Given the length of the diagonal is $5\sqrt{5}$, find the area of the rectangle.

Answers

Answer:

Step-by-step explanation:

Width =x

Length = 2*x = 2x

Diagonal = 5√5

Use Pythagorean theorem

Length² + Width² = diagonal²

  (2x)²    + x²        = (5√5)²      

{[tex](5\sqrt{5})^{2}=5\sqrt{5} *5\sqrt{5}=5*5*\sqrt{5*5}=25*5=75[/tex]}

     4x²   + x²        = 75

                      5x² = 75

                        x²  = 75/5

                       x²   = 15

                        x = √15

Width = √15

Length = 2√15

Area of rectangle = length *width

                             = √15 *2√15

                             [tex]= 2* \sqrt{15*15}\\\\= 2*15\\= 30[/tex]

                             = 30 square units

plz help!!!!!!!!!!!!!!!

Answers

1—> 2 4 x (2 2) -2 ; 2 -5 —> ( 2 2)2 x (2 3) -3 ; 2 8—> (-2 -4 )-2 x (2 2)0 ; 2 -32—> (-2 2)-6 : (2 -5) -4
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