6|2x+3|=36 need a mini step by step

Answers

Answer 1

Answer:

x=1.5

Step-by-step explanation:

We are trying to get x  by itself to see what it equals.

6(2x+3)=36

So first you want to distribute you proprieties.  You do that by multiplying 6 and 2x.  Then multiplying 6 and 3.

12x+18=36

Now in equations where you need to find the variable, whatever you  do on one side of the equal sign, you have to do on the other side.  So now we want to subtract 18 from both sides.

12x+18=36

     -18  -18

Then we divide 12 from both sides.

12x=18

÷12   ÷12

Now you have your answer!

x=1.5


Related Questions

Can someone please help?

Answers

Answer:

odd number

Step-by-step explanation:

as the pattern shows the product of them are odd numbers

Answer:

Hey there!

The product of any two odd numbers is odd.

Hope this helps :)

side length of 216 cubic yards

Answers

Answer:

6 yards

Step-by-step explanation:

a³ = 216

a = ∛ 216

    = 6 yards

Answer:

6 yards

Step-by-step explanation:

The volume of a cube can be found using the following formula.

[tex]v= s^3[/tex]

We know the volume is 216 cubic yards, so we can substitute 216 yd³ in for v.

[tex]216 yd^3=s^3[/tex]

We want to find the side length. Therefore, we must isolate the variable, s, on one side of the equation.

s is being cubed. The inverse of cubed is the cube root. Take the cube root of both sides of the equation.

[tex]\sqrt[3]{216 yd^3}=\sqrt[3]{s^3}[/tex]

[tex]\sqrt[3]{216yd^3}=s[/tex]

[tex]6yd=6[/tex]

The side length of the cube is 6 yards.

point w is on line segment VX. Given vx=4x, vw=3x and wx=5 determine the numerical length of vx

Answers

Answer:

Numerical length of VX = 20

Step-by-step explanation:

Given that VX is a line segment which has a point W on it.

Kindly refer to the attached diagram for the given points.

We are also given the following dimensions:

[tex]VX=4x\\VW=3x\ and \\WX=5[/tex]

To find:

Numerical length of VX = ?

Solution:

As we can clearly see from the attached diagram:

[tex]VX = VW + WX[/tex]

Putting the given values:

[tex]4x=3x+5[/tex]

Now, let us solve for [tex]x[/tex] and then will put the value of [tex]x[/tex] back to find the numerical value of VX.

[tex]\Rightarrow 4x-3x=5\\\Rightarrow x =5[/tex]

Now,

[tex]VX = 4 \times x = 4\times 5 =\bold{20}[/tex]

Therefore, numerical value of VX is 20.

i Find a rational number between -1/2 and 3/4 ?​

Answers

Answer:

5/8

Step-by-step explanation:

Find the rational number half way between 1/2 and 3/4

First add 1/2 and 3/4

1/2 + 3/4 = 2/4 + 3/4 = 5/4

Next, divide this sum by 2

5/4 divided by 2/1 = 5/4 * 1/2 = 5/8

5/8 is half from 1/2 and 3/4

1/2 < 5/8 > 3/4

a garden is in the shape of a rhombus whose each side is 15 and it's one of two diagonal each 24 find the area of Garden

Answers

Answer:

Hey there!

A=[tex]0.5p\sqrt{4a^2-p^2}[/tex]

A=216

Hope this helps :)

Max drove 460 miles in 8 hours at a constant speed. How long would it take him to drive 661.25 miles at that speeds?

Answers

Answer:

106

Step-by-step explanation:

Sksjwisjsjsoansnsan just to get points so give it a thanks thing ty

Answer:

x=11.5hours

Step-by-step explanation:

661.25miles÷57.5mph=11.5hours

What type of number is 0.25726?

A) Rational, specifically an integer

B) Rational, not an integer

C) Irrational

Answers

Answer:

B. Rational, not an integer

y +2=5
What is the answer?

Answers

Answer:

y = 3

Step-by-step explanation:

[tex]y + 2 = 5 \\ y = 5 - 2 \\ y = 3[/tex]

Answer:

y = 3

Step-by-step explanation:

Subtract 2 from each side, so it now looks like this: y = 3

Is 7,548,123 rational or irrational

Answers

Answer:

irrational number

Step-by-step explanation:

Answer:

I'm pretty sure its rational.

Step-by-step explanation:

Rational, I'm pretty sure is like above negative numbers. Irrational is like negative numbers, and yeah...I could be wrong. But I'm sure its rational.

Find the volume of a box with a height that is 4 inches less than the
length and a width equal to the length. Let x represent the length of the
box. (Formula for volume of a rectangular prism: V equals L times W
times H where L is length, W is width, H is height of the rectangular
prism)

Answers

Answer:

Volume of the box = x^3 - 4x^2

Step-by-step explanation:

V = L × W × H

Where,

V = volume of the rectangular prism

L= Length

W = Width

H = Height

volume of the rectangular prism = length × width × height

Length = x

Width= length = x

Height = x - 4

V = L × W × H

= x * x * (x - 4)

= x^2 (x - 4)

= x^3 - 4x^2

V = x^3 - 4x^2

Volume of the box = x^3 - 4x^2

at 7:00 am the temperature in wilton was -6 degrees. by 8:00 am the temperature was 2 degrees. what is the difference in the temperature between 8:00 am and 7:00 am?

Answers

Answer:

Step-by-step explanation:

at 7 the temperature=-6

at 8 the temperature=2

difference=8 degree

Answer:

- 8°

Explanation:

→ We write the data problems.

→ in Wilton - 7:00 am - 6°

                    8:00 am   2°

What is the difference in the temperature between 8:00 am and 7:00 am?

- 6° - 2° = - 8°

write the polynomial the product and sum of whose zeroes are -9/2 and-3/2

Answers

Answer:

y = 2x² + 3x - 9

Step-by-step explanation:

Given αβ = - [tex]\frac{9}{2}[/tex] = [tex]\frac{c}{a}[/tex]

and α + β = - [tex]\frac{3}{2}[/tex] = - [tex]\frac{b}{a}[/tex]

Then a = 2, b = 3 and c = - 9, thus

y = 2x² + 3x - 9

Help please 45³+78-64

Answers

Answer:

91267

Step-by-step explanation:

Using inductive reasoning, determine the next two terms in each sequence. -3, 5, -7, 9, , A, C, F, J, , Blank 1: Blank 2: Blank 3: Blank 4:

Answers

Answer:

A = -11

C = 13

F = -15

J = 17

Step-by-step explanation:

Inductive reasoning is the use of observations to draw a conclusion.

The sequence of numbers in this problem is:

-3, 5, -7, 9, ...

A pattern is observed and that pattern is:

(n + 1) th term = |nth term| + 2 (with alternating negative signs)

for instance if (n+1)th term = 2nd term; nth term = 1st term

2nd term = |1st term| + 2

2nd term = |-3| + 2 = 5 (no negative sign since previous term had negative)

-3rd term = |5| + 2 = -7 (negative sign because the previous term was positive)

4th term = |-7| + 2 = 9 (no negative sign since previous term had negative)

-5th term (A)= |9| + 2 = - 11 (negative sign because the previous term was positive)

6th term (C) = |-11| + 2 = 13 (no negative sign since previous term had negative)

if you use the same sequence for F and J, you will get:

F = -15

J = 17

you should try them out to see if you will get the same solution.

- = 0.393 as a fraction?

Answers

Answer:

The answer is 393/1000

Step-by-step explanation:

Answer:

131/333 is the correct answer

Step-by-step explanation:

POLYNOMIALS
1. Find a quadratic polynomial whose zeroes are 3 and -5

Answers

Answer:

y = x² + 2x - 15

Step-by-step explanation:

Given the zeros are x = 3 and x = - 5 then the factors are (x - 3) and (x + 5)

The polynomial is then the product of its factors, thus

y = (x - 3)(x + 5) ← expand using FOIL

y = x² + 2x - 15

What is the difference between 6^ and ^ 6 ?

Answers

I think it’s 6 to the exponential power or a number vs a number to the power of 6

Explicit equation:
Recursive:
y = 3x + 7
now = previous term + 3
50
term #
1
2
value
10
13
...
Find the value of the 50th term.
Explanation:

Answers

Answer:

50th term = 157

Step-by-step explanation:

Explicit equation for the given table is,

y = 3x + 7

And recursive formula is,

Now = previous + 3

To find the 50th term explicit formula should be used because it will be very difficult to find all 50 terms with the use of recursive formula.

From explicit formula,

y = 3x + 7

y = 3(50) + 7

  = 157

Therefore, 50th term of the given table will be 157.

It takes a bus 6 hours to take a trip. The train takes only 4 hours to make the same trip. The train travels at a rate of speed that is 25 mph more than the speed of the bus. What is the rate of the bus and the rate of the train? State what x represents, state the equation, and then state the answer.

Answers

Answer:

x represents the trip distance.

x = 300 miles

Rate of bus = 50 mph

Rate of train = 75 mph

Step-by-step explanation:

Let the trip distance be x miles.

[tex] \because \: speed = \frac{distance}{time} \\ time \: taken \: by \: bus \: to \: complete \: \\ the \: trip \: = 6 \: hours \\ \therefore \: speed \: of \: bus = \frac{x}{6} \: mph \\ \\ time \: taken \: by \: train \: to \: complete \: \\ the \: same \: trip \: = 4 \: hours \\ \therefore \: speed \: of \: train = \frac{x}{4} \: mph \\ \\ \because \: \: speed \: of \: train \\ =speed \: of \: bus \: + 25 \: mph \\ \therefore \: \frac{x}{4} = \frac{x}{6} + 25 \\ \\ \therefore \: \frac{x}{4} - \frac{x}{6} = 25 \\ \\ \therefore \: \frac{6x - 4x}{4 \times 6} = 25 \\ \\ \therefore \: \frac{2x}{24} = 25 \\ \\\therefore \: \frac{x}{12} = 25 \\ \\ \implies \: x = 25 \times 12 \\ \implies \: x =300 \: miles \\ \\ rate \: of \: bus = \frac{x}{6} = \frac{300}{6} = 50 \: mph\\ \\ rate \: of \: train = \frac{x}{4} = \frac{300}{4} = 75 \: mph[/tex]

f(x)=x2-x find f (3)

Answers

Answer:

f(3) =6

Step-by-step explanation:

[tex]f(x) =x^2 -x\\\\f(3) = ?\\\\f(3) = (3)^2 -3\\f(3) = 9-3\\f(3) =6[/tex]

Answer:

[tex]\huge \boxed{\sf{f(3)=6}}[/tex]

Step-by-step explanation:

[tex]\sf f(x)=x^2-x[/tex]

For f(3), the input or x value is 3.

[tex]\sf f(3)=3^2-3[/tex]

Evaluate the expression.

[tex]\sf f(3)=9-3[/tex]

[tex]\sf f(3)=6[/tex]

?
3k12 + 23k4 – 18k? _71

Answers

Answer:

Step-by-step explanation:

Something

Average Weight Animal At Birth (g) Adult Female(g) Adult Male (g) Hamster 2 120 110 Guinea pig 65 800 1,030 Rat 7 265 470 On average, a hamster at birth weighs 2 3 the weight of a gerbil at birth. Enter and solve an equation to find the average weight of a gerbil at birth. Let g represent your variable. The equation is . The average weight of a gerbil at birth is g.

Answers

Answer:

The answer is below

Step-by-step explanation:

An equation is a mathematical statement that shows the equality between two expressions.

From the table, the average weight of the hamster at birth is 2 grams. The average weight of gerbil at birth is 2/3 of that of hamster. Let g represents the weight of the gerbil at birth, hence the weight can be gotten by solving the equation:

2/3 of hamster weight at birth = Average weight of gerbil at birth

2/3 × 2 grams = g

g = 2/3 × 2 grams = 4/3 grams = 1.33 grams

The average weight of gerbil at birth = 1.33 grams

Please help me whoever does it first will get brainliest!!! a) Write a ratio of girls to boys in three ways b) Write an equivalent ratio to the one you wrote in part a. c) Write the ratio of boys to girls in simplest form

Answers

Answer:

see below (I hope this helps!)

Step-by-step explanation:

a) There are 20 girls and 16 boys so three different ways to write the ratio could be 20:16, 20 / 16 or, in verbal form, 20 to 16.

b) An equivalent ratio to 20:16 is 10:8, all we do to get this is divide the ratio by 2.

c) Since there are 16 boys and 20 girls, the ratio is 16:20 which simplifies to 4:5.

A damaged carpet which cost $180 when new, is sold for $100. What is the percentage loss?

Answers

Answer:

44,(4) %

Step-by-step explanation:

$180 ......... 100%

$80 .............  x %

x = 80×100/180 = 8000/180 = 44,(4) %

the percentage loss 44,(4) %

Solve for c .
A(c+b)=d

answer choices are in the pic

Answers

Answer:

A(c+b)=d.

Ac+Ab=d.

Ac=d-Ab.

Divide through by A.

c=d-ab/a.

Option A.

Steps to solve:

a(c + b) = d

~Distribute

ac + ab = d

~Subtract ab to both sides

ac = d - ab

~Divide a to both sides

c = d-ab/a (Option 1)

Best of Luck!

Which properties can be used to solve 7y − 15 = −29? Select all that apply.

Answers

Answer:

addition property of equality

inverse property of multiplication

Step-by-step explanation:

7y − 15 = −29

Add 15 to each side using the addition property of equality

7y -15+15 = -29+15

7y = -14

Divide each side by 7 using the inverse property of multiplication

7y/7 = -14/7

y =2

Answer:

[tex]\Large \boxed{\mathrm{Addition \ Property \ of \ Equality}} \\\\\\ \Large \boxed{\mathrm{Inverse \ Property \ of \ Multiplication}}[/tex]

Step-by-step explanation:

[tex]\sf 7y-15=-29[/tex]

Using the additive property of equality, we add 15 to both sides of the equation.

[tex]\sf 7y-15+15=-29+15[/tex]

[tex]\sf 7y=-14[/tex]

Using the inverse property of multiplication, we divide both sides of the equation by 7.

[tex]\displaystyle \sf \frac{7y}{7} =\frac{-14}{7}[/tex]

[tex]\sf y = -2[/tex]

Can someone help me with part a?

Answers

Answer:

  [tex]F(x)=\left\{\begin{array}{cl}15(40-x)&\text{if $0<x<40$}\\0&\text{if $40\le x\le65$}\\15(x-65)&\text{if $x>65$}\end{array}\right.[/tex]

Step-by-step explanation:

(a) For x below 40, the number of miles per hour below 40 is (40-x). Then the fine for that speed is 15(40 -x).

For x between limits, the fine is zero.

For x above 65, the number of miles per hour above 65 is (x-65). Then the fine for that speed is 15(x -65).

  [tex]F(x)=\left\{\begin{array}{cl}15(40-x)&\text{if $0<x<40$}\\0&\text{if $40\le x\le65$}\\15(x-65)&\text{if $x>65$}\end{array}\right.[/tex]

what is: −6 − (−4)? i need to know

Answers

Answer:

-2

Step-by-step explanation:

-6-(-4)

-6+4

-2

Answer:

-2

Step-by-step explanation:

Make it simpler: -6 + 4-6 + 4 = -2

Why:

When you subtract a negative, it automatically becomes a positive. That's why when we were making it simpler above, we canceled out the two minus signs (subtractions sign and negative sign) to make a positive 4. That's why we added a positive instead of subtracting a negative.A negative plus a positive will get bigger. That's why -6 + 4 = -2. The -2 is larger than -6 when you look at it on a number line. It's closer to 0 and the positives.

4) Given that x is an integar
find the three greatest value
of x which satisfies the lines
inequality 7x < 2x - 13

Answers

Answer:

The three greatest are -3, -4, -5

Step-by-step explanation:

7x < 2x - 13

Subtract 2x from each side

7x-2x < 2x-2x - 13

5x < -13

Divide by 5

5x/5 < - 13/5

x < - 2 3/5

Since x is an integer

-3 is the largest integer that fits the inequality

The three greatest are -3, -4, -5

How many oranges equal 6 cups of juice?

Answers

Answer:

1/3

Because 1/3 if divide into two, it'll be 0.5/3 but if the question says that the answer have to be in whole number, that means it must be 1/6.

Answer:12

Step-by-step explanation:

because it will take 2 to make a cup

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