7b - 2/5 = 6b - 7/5 equations with variables on both sides: decimals & fractions

Answers

Answer 1

Final Answer: [tex]b = -1[/tex]

Steps/Reasons/Explanation:

Question: [tex]7b - 2/5 = 6b - 7/5[/tex] equations with variables on both sides: decimals & fractions.

Step 1: Subtract [tex]6b[/tex] from both sides.

[tex]7b - \frac{2}{5} - 6b = -\frac{7}{5}[/tex]

Step 2: Simplify [tex]7b - \frac{2}{5} - 6b[/tex] to [tex]b - \frac{2}{5}[/tex].

[tex]b - \frac{2}{5} = -\frac{7}{5}[/tex]

Step 3: Add [tex]\frac{2}{5}[/tex] to both sides.

[tex]b = -\frac{7}{5} + \frac{2}{5}[/tex]

Step 4: Simplify [tex]-\frac{7}{5} + \frac{2}{5}[/tex] to [tex]-1[/tex].

[tex]b = -1[/tex]

~I hope I helped you :)~


Related Questions

The Science Club went on a two-day field trip. The first day the members paid $70 for transportation plus $19 per ticket to the planetarium. The second day they paid $100 for transportation plus $16 per ticket to the geology museum. Write an expression to represent the total cost in dollars for two days for the n members of the club.

Answers

Answer:

$170 + $35n

Step-by-step explanation:

Given that:

First day:

Transport fare = $70

Fee per ticket = $19

2nd day:

Transport fare = $100

Fee per ticket = $16

Total cost in dollars for the two days for n members

Number of members = n

First day:

70 + 19n

Second day :

100 + 16n

Totak cost :

(70 + 19n) + (100 + 16n)

70 + 100 + 19n + 16n

170 + 35n

$170 + $35n

The
table shows the lengths of four
trails at a horseback riding camp.
Estimate the total length of all the
trails. Show your work.
A. 2.6 B. 1.8 C. 4.2 D. 3.3

Answers

Answer:

Its not possible to solve without the actual table.

Step-by-step explanation:

Increase £2123 by 8%
Give your answer rounded to 2 DP.

Answers

Answer:

2292.84

Step-by-step explanation:

What happens to the graph of f(x) when it is multiplied
by a number between 0 and 1?

Answers

Answer:

Therefore multiplying x by a number between 0 and 1 creates a horizontal stretch, which looks like a vertical compression. That is, the parabola will be shorter/wideStep-by-step explanation:

Answer:

Therefore multiplying x by a number between 0 and 1 creates a horizontal stretch, which looks like a vertical compression. That is, the parabola will be shorter/wider

Step-by-step explanation:

hope it heped

What is the square root of 3 to the square root of 2 power times the square root of 3 to the negative square root of 2 power​

Answers

Answer:

3

Step-by-step explanation:

multiplication rule of exponents is to multiply the bases (sq rt 3) and add the exponents

(sq rt 3)^2 = 3

add exponents and power of 1

someone answer please:)
I think its saying to find out what a means

Answers

It should be 7.5 rounded up

What is the cube root of 27x^18?
A)3x^6
B)3x^9
C)9x^6
D)9x^9


Answers

it’s most likely a :)

Answer:

It’s B

Step-by-step explanation:

just answered question

A rectangle has an area of 135 ft 2 . What is the length, if the width is 9 ft?

Answers

Answer:

15 ft

Step-by-step explanation:

A=LxW

135 ft2 =m X 9ft

Divide 135 by 9

& that equals 15ft.

To check your answer, you multiply 15X9 and that equals 135. So the length of the rectangle is 15ft.

How do I make 2x+y+ 3X - 7 y=mx+b

Answers

Step-by-step explanation:

[tex]2x + y + 3x - 7y \\ = (2x + 3x) + (y - 7y) \\ = (5x) + ( - 6y) \\ = 5x - 6y \\ = mx + b \\ where \: \: m = 5 \\ where \: \: b = - 6y[/tex]

Solve -103 = 6x + 17.

Answers

Answer: x=-20

-103= 6x + 17

-120=6x

-20=x

Pls someone help me!

Answers

Answer:

When present,outliers will have an effect of the range since one of the outliers will either be highest or lowest number in a given data set and the range is found by finding the difference of the highest and lowest numbers.

Solve the equation for a.

K = 4a + 9ab

a = K(4 + 9b)
a = 4(K + 9b)
a = a equals StartFraction 4 plus 9 b Over K EndFraction equals h.
a = a equals StartFraction K Over 4 plus 9 b EndFraction equals h.

Answers

Answer:

[tex]a= \frac{k}{9b+4}[/tex]

Step-by-step explanation:

In this question, you would solve for "a".

Solve:

K = 4a + 9ab

Since we have our "a" on the same side, we can factor it out from the variables:

K = a(9b + 4)

To get "a" by itself, we would have to divide both sides by 9b + 4:

K/9b+ 4 = a

Your answer would be K/9b+ 4 = a

It would look like this: [tex]a= \frac{k}{9b+4}[/tex]

Answer:

it's a = K / 4 + 9b

Step-by-step explanation:

i just took the test & got it right .

Manny's cleaning supply store receives a mixture of 80% detergent and 20% water in 15-gallon buckets. Manny would like a mixture of 60 detergent and 40% water in a 5 gallon buckets. To make this he combined some 80/20 mixture with some pure water in each 5 gallon bucket. How much gallons of pure water does Manny add to each 5 gallon bucket.

Answers

Answer:

1.67 gallons

Step-by-step explanation:

Given that:

Original mixture contains 80% detergent and 20% water in a 15 gallon bucket.

New Mixture to contain 60% detergent and 40% water of 5 gallon bucket.

To find:

Volume of Pure water to be added to each 5 gallon bucket to obtain the new mixture.

Solution:

First of all, let us calculate the answer by adding pure water to 15 gallon bucket.

Let the number of gallon of water to be added = [tex]x[/tex]

New volume = (15+[tex]x[/tex]) gallons

Now, let us compare the number of gallons of water in the mixture before and after.

[tex]15\times 20\% + x = (15+x)\times 40\%\\\Rightarrow (3+x)\times 5 = (15+x)\times 2\\\Rightarrow 15+5x=30+2x\\\Rightarrow 3x=15\\\Rightarrow x =5\ gallons[/tex]

Therefore, to a 15 gallon bucket (80% detergent and 20% water)of detergent mixture, if we add 5 gallons of pure water , it will become 60% detergent and 40% water.

To a 5 gallon bucket, the number of gallons of water to be added = [tex]\frac{5}{3} =\bold{1.67\ gallons}[/tex]

Helpppppp

Find the quotient: -45/5
A. -40
B. -9
C. 9
D. 40

Answers

Answer:

B - 9

Step-by-step explanation:

5 x 9 = 45 or 45 divided 5

2 lines intersect to form angles 1 and 2.
Which equation represents the relationship between their measures?

mAngle1 + mAngle2 = 90°
mAngle1 + mAngle2 = 100°
mAngle1 + mAngle2 = 180°
mAngle1 + mAngle2 = 200°

Answers

Answer:

mAngle1 + mAngle2 = 180°

Step-by-step explanation:

This is the answer hope it helps

if u had a picture i could give further details

Hope this helped

Answer:

What if I told you I guessed

Step-by-step explanation:

but submitted and got it correct

...

its C:)

Find the slope of 6x – 3y = 5

Answers

Answer:

slope is 2

Step-by-step explanation:

simplify this equation so that you can get to "y ="

your equation is: 6x - 3y = 5

start by subtracting 6x from both sides: -3y = -6x - 5

then divide both sides by -3 to isolate y: y = 2x - 5/3

so now we can clearly see that the slope is 2, since that is what is right next to x

anybody knows the best way to get rid of a migraine or to make it feel better
it k1lls so bad it's so painful. don't say got to the doctor's cuz there medicine doesn't rlly help

Answers

Answer:

The best way to help is to get some water or get some sleep.It is either because you didn't get enough sleep or that you are dehydrated.

Step-by-step explanation:

Answer:

Drink a soda the instant you feel one coming on- sugar and caffeine tend to help.

If you can, try a good chiropractor- they can do adjustments that help with so many things including splitting headaches.

Try an OTC medicine.

sleep, dark, quiet, calm- try not to think too much and stay hydrated. maybe try carbonated water.

try to massage your neck yourself. it could help.

try to use a cold or a hot compress on your head.

Bananas. A tried and true natural headache reliever, bananas have potassium, magnesium, B vitamins, and complex carbohydrates, all components that contribute to headache relief.

The taste and smell of green apples have shown to help dim or lessen the intensity of migraines.

Hot packs and heating pads can relax tense muscles. Warm showers or baths may have a similar effect. Drink a caffeinated beverage. In small amounts, caffeine alone can relieve migraine pain in the early stages or enhance the pain-reducing effects of acetaminophen (Tylenol, others) and aspirin.

Step-by-step explanation:

avoid blue light from screens.

pls help this is due soon

Answers

Answer:

1/2^4

Step-by-step explanation:

This oneeeee ty pleaseeee

Answers

Answer:

multiple choice?

Step-by-step explanation:

The graph of f (x) = x + 5 is a vertical translation 5 units
up of the graph of f(x) = x. How can you obtain the graph of
f(x) = x + 5 from the graph of f (x) = x using a horizontal
translation?

Answers

Answer:

A horizontal translation of 5 units to the left.

Step-by-step explanation:

Given the parent linear function:

[tex]\displaystyle f(x)=x[/tex]

To shift vertically n units, we can simply add n to our function. Hence:

[tex]f(x)=x+n[/tex]

So, a vertical shift of 5 units up implies that n=5. So:

[tex]f(x)=x+5[/tex]

As given.

However, to shift a linear function horizontally, we substitute our x for (x-n), where n is the horizontal shift. So:

[tex]f(x-n)=(x-n)[/tex]

Where n is the horizontal shift.

For example, if we shift our parent linear function 1 unit to the right, this means that n=1. Therefore, our new function will be:

[tex]f(x-1)=(x-1)[/tex]

Or:

[tex]f(x)=x-1[/tex]

We notice that this is also a vertical shift of 1 unit downwards.

Therefore, we want a number n such that -n=5.

So, n=-5.

Therefore, it we shift our function 5 units to the left, then n=-5.

Then, our function will be:

[tex]f(x-(-5))=(x+5)\text{ or } f(x)=x+5[/tex]

Hence, we can achieve f(x)=x+5 from f(x)=x using a horizontal translation by translating our function 5 units to the left.

Tanisha has 16 books she wants to read. She reads One Fourth of them. How many books has Tanisha read?

Answers

Answer:

Im guessing she reads 64 of the book

16 divided by 1/4 = 64

please help me answer this!! geometry

Answers

Answer:

-2x+7(10+18)

Step-by-step explanation:

Hope this helps

A jar contains 5 blue, 3 red. and 7 white balls. What is the approximate probability of drawing a blue or red ball on the first draw?
A. 33%
B. 80%
C. 53%
D. 67%

Answers

Answer:

C

Step-by-step explanation:

please help what is the value of u

Answers

Add 112 plus 32 and you will have it

Answer:

34

Step-by-step explanation:

It is an isosceles triangle.

112 + u + u =180       {Angle sum property}

112 + 2u   = 180

        2u = 180 - 112

        2u = 68

          u = 68/2

         u = 34

y = 2x – 4
y = -x + 5

Answers

Answer:

(3, 2)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Algebra I

Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

y = 2x - 4

y = -x + 5

Step 2: Solve for x

Substitution

Substitute in y:                    2x - 4 = -x + 5Add x to both sides:           3x - 4 = 5Add 4 to both sides:           3x = 9Isolate x:                              x = 3

Step 3: Solve for y

Define equation:                    y = -x + 5Substitute in x:                       y = -3 + 5Add:                                        y = 2

The measures of the angles of a triangle are shown in the figure below. Find the
measure of the smallest angle.
(3x-9)°
(x+15)

Answers

Answer:

318.6

Step-by-step explanation:

(3x-9) + (x+15) = 180

3x (x+15) -9 (x+15)

4x + 45x - 9x + 6 = 180

40x + 6 = 180

40x = 180 - 6

40x = 174

x = 4.34

(3x-9) = 4.34 * 3x-9 = 4.02

(x+15) = 4.34 + 15 = 19.34

180 - (4.02 + 19.34)

= 180 - 23.36

= 156.64

hope this answer helps!!

Rachel is buying school supplies. She needs to buy a binder for $4.50, whiteboard markers for $7.00 and some mechanical pencils for $0.29 each. She can spend up to $13.00. Which inequality can be used to find m, the number of mechanical pencils she can buy?

Answers

0.29m + 4.50 + 7 < or equal to 13 ;)

Pls help me ASAP I have other homework to do and I don’t have time for this. It also detects if it’s right or wrong:(

Answers

Answer:

y = 25x + 50

Step-by-step explanation:

Solve for z. 2z − 3 = 1

Answers

Answer:

z = 2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define

2z - 3 = 1

Step 2: Solve for z

Add 3 on both sides:                    2z = 4Divide 2 on both sides:                z = 2

A freezer can be bought on hire purchase by making a desposiy of 15% of the cash price which is $2975 the interest which is 20% of the outstanding balance is charged the amount payable is paid in 12 monthly instalements.Calculate the freezer

Answers

Answer: See explanation

Step-by-step explanation:

a. The deposit

= 15% × $2975

= 15/100 × $2975

= 0.15 × $2975

= $446.25

b. The hire purchase price

Outstanding balance = $2975 - $446.25 = $2528.75

20% of outstanding balance

= 20% × $2528.75

= 0.2 × $2528.75

= $505.75

Hire purchase price

= $2975 + $505.75

= $3480.75

c. The difference the hire purchase price and cash price

= $3480.75 - $2975

= $505.75

d. The difference as a percentage of the cash price.

= ($505.75 / $2975) × 100

= 0.17 × 100

= 17%

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