solve the following equation show your work -1/2w - 3/5 = 1/5w

Answers

Answer 1

Answer:

w = (-6)/7

Step-by-step explanation:

Solve for w:

-w/2 - 3/5 = w/5

Hint: | Put the fractions in -w/2 - 3/5 over a common denominator.

Put each term in -w/2 - 3/5 over the common denominator 10: -w/2 - 3/5 = (-5 w)/10 - 6/10:

(-5 w)/10 - 6/10 = w/5

Hint: | Combine (-5 w)/10 - 6/10 into a single fraction.

(-5 w)/10 - 6/10 = (-5 w - 6)/10:

(-5 w - 6)/10 = w/5

Hint: | Make (-5 w - 6)/10 = w/5 simpler by multiplying both sides by a constant.

Multiply both sides by 10:

(10 (-5 w - 6))/10 = 2 w

Hint: | Cancel common terms in the numerator and denominator of (10 (-5 w - 6))/10.

(10 (-5 w - 6))/10 = 10/10×(-5 w - 6) = -5 w - 6:

-5 w - 6 = (10 w)/5

Hint: | In (10 w)/5, divide 10 in the numerator by 5 in the denominator.

10/5 = (5×2)/5 = 2:

-5 w - 6 = 2 w

Hint: | Move terms with w to the left hand side.

Subtract 2 w from both sides:

(-5 w - 2 w) - 6 = 2 w - 2 w

Hint: | Combine like terms in -5 w - 2 w.

-5 w - 2 w = -7 w:

-7 w - 6 = 2 w - 2 w

Hint: | Look for the difference of two identical terms.

2 w - 2 w = 0:

-7 w - 6 = 0

Hint: | Isolate terms with w to the left hand side.

Add 6 to both sides:

(6 - 6) - 7 w = 6

Hint: | Look for the difference of two identical terms.

6 - 6 = 0:

-7 w = 6

Hint: | Divide both sides by a constant to simplify the equation.

Divide both sides of -7 w = 6 by -7:

(-7 w)/(-7) = 6/(-7)

Hint: | Any nonzero number divided by itself is one.

(-7)/(-7) = 1:

w = 6/(-7)

Hint: | Simplify the sign of 6/(-7).

Multiply numerator and denominator of 6/(-7) by -1:

Answer: w = (-6)/7

Answer 2

Answer:

-5/10w - 3/5 = 2/10w

- 3/5 = 7/10w

-30 = 35w

-30/35 = w

-6/7 = w

-----

Hope this helps!! - Maddy  

(if this helps please make brainliest, rate, and thank so I know how I did!)

╰(*°▽°*)╯


Related Questions

find the area of the figure

Answers

Answer:

[See Below]

Step-by-step explanation:

✦ In this figure there are two shapes; A triangle and a square. So you'll need to know the area formula for both:

  ✧ Square ∼ s² (Side Squared)

  ✧ Triangle ∼ ½ × b × h

✦ So now just solve for each area:

  ✧ Square ∼ 15² = 225

  ✧ Triangle ∼  ½ × 15 × 3 = 22.5

✦ Now add each area together to get the total area:

  ✧ 225 + 22.5 = 247.5

~Hope this helps Mate. If you need anything else feel free to message me.

What is the solution to the equation 3(4x+5) = 3x+12?

Answers

Answer:

-3

Step-by-step explanation:

12x+15=3x+12

12x-3x=-15+12

9x =-3

9÷-3

x=-3

Answer:

X= - 1/3

Step-by-step explanation:

3(4x+5) = 3x+1212x + 15 = 3x + 1212x - 3x = 12 - 159x = - 3X = -3/9 = - 1/3Hope this helps..

Please answer this . It’s of class 8 Thank you

Answers

Answer:

= (3/5)-³

= (5/3)³

= (5/3) × (5/3) × (5/3)

= (125/27)

Hope it helps.

An electric pole, 14 metres high, casts a shadow of 10 metres. Find the height of a tree that casts
a shadow of 15 metres under similar conditions.

Answers

As shadow is directly propotional to height, we can say that,

Height/Shadow =k, where k is a constant.

So, in case of electric pole,

1410=k→(1)

In case of tree,

HT15=k→(2), where HT is height of tree

So, from (1) and (2),

1410=HT15

HT=14∗1510=21m

So, height of tree is 21 meters.

hope it helps thank youuuu

Simplify each expression:
a.) -72 = 8 + (-6) - 2
b.) -4 + (-32) = (-4.4)

Answers

Answer:

Step-by-step explanation:

a) -72 = 8 + -6 -2

-72 = 0

b)  -4 + (-32) = (-4.4)

-36 = -4.4

7. Bruno noticed today's gasoline price at the local convenience store was advertised as $3.40 per gallon. This price is 15% above last year's price. Calculate last year's price. $ 3.55 O $ 3.25 O $ 2.96 O $ 2.40​

Answers

Answer:

I'm pretty sure it $2.96

Answer:

option c) $ 2.96

Step-by-step explanation:

15% = 15 /100 = 0.15

Let last year's price = $ x

x + 15% of x = $ 3.40

x + 0.15*x = 3.40

x + 0.15x = 3.40    {Add like terms}

1.15x = 3.40   {Divide both sides by 1.15}

1.15x/1.15=3.40/1.15

x = 2.956

Last year's price = $ 2.96

write the set of all even prime number​

Answers

Answer:

{2}

Step-by-step explanation:

The only even prime number is 2

Answer:

The even prime number is 2.

A baby carriage that is carrying twins is sitting at the top of a hill that is 21 m high. The carriage with the babies has a mass of 48 kg. What is the potential energy of the twins and the carriage?

Answers

Answer:

1,008 kg

Step-by-step explanation:

9,888 Joules

hope it help

thank you .....

Find the Product: (x+9i)^2

Answers

Answer:

x² + 18xi - 81

Step-by-step explanation:

FOIL - First, Outside, Inside, Last

Step 1: Write out expression

(x + 9i)²

Step 2: Expand

(x + 9i)(x + 9i)

Step 3: FOIL

F - x²

O - 9xi

I - 9xi

L - 81i²

Step 4: Combine

x² + 18xi + 81i²

Step 5: Simplify

i² = -1

x² + 18xi + 81(-1)

x² + 18xi - 81

What is the equation of a line with a slope of -3 and a y-intercept of 4?

Answers

Answer:

y = -3x+4

Step-by-step explanation:

the equation of a line is:  y = mx+b

Where:

m is the slope, and

b is the y-intercept

Replace m with -3 and replace b with 4, in the equation y=mx+b.

[tex]m = -3\\b =4\\\\y =mx+b\\\\y =-3x+4[/tex]

janie bought 4 apples and 4 bananas .each apple costs 0.40 and each banana cost 0.40 enter an expression representing the total cost

Answers

4(0.40) + 4(0.40) = x

Which is the correct simplification of 3 ( C +2) + 11 ?

3C + 17

6C + 11

3C + 13

5C+11

Answers

Answer:

option a is correct

Step-by-step explanation:

step 1:

3 (C+2)+11

step 2:

3C+6+11

step 3:

3C+17

hope it helped you:)

What is a scale factor because i'm new to 7th grade and i'm clueless.

Answers

Answer:

A scale factor is a number which scales, or multiplies, some quantity.

Step-by-step explanation:

i.e: this shape multiplied by a scale factor of 2. Usually solved by a ratio

scale factor definition speaking is when corresponding sides are proportional to each other (in a dilation). the proportion is a constant ratio which is known as the scale factor. for example, if side AB is 8, and side A’B’ is 4, the scale factor would be ½. if side AB is 3 and side A’B’ is 6, the scale factor is 2

Order each set of numbers from least to greatest. 41 3 2 9 0.6 3' V 16' 9.​

Answers

8. Square root of 100, 41/3, 14

9. 0.6, 2/3, Square root of 9/16
41 over 3,14,200 squared
9/16,2/3,0.6

-4(x+4)=-2(x+4) i need to know what makes the equation true?

Answers

Answer:

x=-1

Step-by-step explanation:

first distibute ->  -4x-10=-2x+8

then add the x's and numbers

What is the measure of ZRVE?
60°
7
8
mer
R

Answers

Answer:

45 degrees

Step-by-step explanation:

180 - 60 - 75 = 45

Angle RVE is the same as angle LVA

Answer:

this might help you....

A box measuring 11 inches by 10 inches by 7 inches is filled with solid wooden cubical blocks, each measuring 3 inches per side. How many wooden blocks can fit into the box

Answers

Answer:

28

Step-by-step explanation:

[tex]number \: of \: wooden \: blocks \\ = \frac{volume \: of \: box}{volume \: of \: one \: wooden \: block} \\ = \frac{11 \times 10 \times 7}{3 \times 3 \times 3} \\ = \frac{770}{27} \\ = 28.51 \\ [/tex]

Thus, there would be 28 full wooden blocks in the box.

Answer: 28 wooden blocks

Step-by-step explanation: First you must find the volume of the box with the formula: L × W × H so, 10 × 11 × 7 = 770 inches³. Second you must find the volume of the wooden blocks with the formula: x³ ( 'x' is the value of the side of the cube ) so, 3 × 3 × 3 = 27 inches³. Now you can divide the volume of the box by the volume of the wooden block = 770 ÷ 27 = 28.518...*

* Always only count the whole numbers.

Tito is installing a new kitchen floor. The kitchen is square in shape and has an area of 441 sq ft. What is the length of one side of Tito’s. Pls help me with this!

Answers

Answer:

21 feet

Step-by-step explanation:

The square root of 441 is 21 and since the room is a square, all sides are even.

a farmer plants seven eggplants plants per 0.6m². how many eggplants can be plant in an area of 84m²?

Answers

Answer:

980 eggplants

Step-by-step explanation:

If a farmer plants 7 eggplants per 0.6 m², then

Eggplants in an area of 84 m²:  

7/0.6*84 = 980

Answer is 980

A woman has a total of
$
15,000
to invest. She invests part of the money in an account that pays
10
%
per year and the rest in an account that pays
12
%
per year. If the interest earned in the first year is
$
1720
, how much did she invest in each account?

Answers

$4,000 in the 10% per year account

$11,000 in the 12% per year account

Answer:

4000 for 10% a year

11000 for 12% a year

What three forms can acceleration take?

Answers

Answer:

positive, negative, and volecity

Step-by-step explanation:

it has something to do with those three things....hope this helps at all

Answer:

a change in velocity, a change in direction, or a change in both velocity and direction.

Step-by-step explanation:

I need help solving it​

Answers

Answer: OPTION 3. -7

Step-by-step explanation:

Given

-52=-4x-5(-2x+2)

Distributive property (REMEMBER you need to change signs)

-52=-4x-5×(-2x)-5×2

-52=-4x+10x-10

Combine like terms (-4x and 10x)

-52=6x-10

Add 10 on both sides

-52+10=6x-10+10

-42=6x

Divide 6 on both sides

-42/6=6/6x

x=-7

Hope this helps!! :)

Please let me know if you have any question

x = -7

[tex]-52=-4x-5(-2x+2)\\-52=-4x+10x-10\\-52=6x-10\\-42=6x\\-7=x[/tex]

to make sure, plug x in the equation:

[tex]-52=-4(-7)-5(-2(-7)+2)\\-52=28-5(14+2)\\-52=28-70-10\\-52=28-80\\-52=-52[/tex]

Choose all the sets containing the number pie

Answers

Answer:

The set of Real Numbers.

The set of Irrational Numbers.

The set of transcendental numbers.

Step-by-step explanation:

An asteroid follows a hyperbolic path defined by the equation 16x2 − 9y2 = 576. If one of its foci is the sun's position, the minimum distance between the asteroid and the sun is AU. (Note that x and y are expressed in astronomical units, AU.)

Answers

The minimum distance between the asteroid and the sun is 10 - 6 =4


The given hyperbolic path defined as
divide both the sides by 576,



The general equation of

hyperbola is written as
;

Compare with above mention equation
Here

The distance between the asteroid and the sun is seen by figure -1
or
⇒c =10

The minimum distance between the asteroid and the sun is 10 -6 =4

Answer: 4

Step-by-step explanation: I got this right on Edmentum.

Here’s the picture for it

Answers

Answer:

Option (B)

Step-by-step explanation:

[tex]\begin{bmatrix}4 & 0\\ -1 & 2\\ -3 & -1\end{bmatrix}\times\begin{bmatrix}0 & 1 \\ -3 & 1\end{bmatrix}[/tex]

In the multiplication of two matrices we multiply the column of 1st matrix with the row of the 2nd matrix and add them.

= [tex]\begin{bmatrix}(4\times 0)+0(-3) &(4)1+0(1)\\ (-1)0+2(-3) &(-1)1+2(1)\\ (-3)0+(-1)(-3) &(-3)1+(-1)1 \end{bmatrix}[/tex]

= [tex]\begin{bmatrix}0 &4\\ -6 &1\\ 3 &-4 \end{bmatrix}[/tex]

Therefore, Option (B) will be the answer.

A jacket that normally sells for $45 is on sale with 20% off. What is the sale price? in dollars

Answers

Answer:

Step-by-step explanation:

The sales price would be $36.00

How I got this answer:

Discount: (45 x 20)/100 = $9.00 the nine dollars is your discount.

Final pricing:

45 - 9.00 = $36.00 when you subtract the cost with the discount you should get thirty-six dollars.

To make a salad dressing, a chef uses a ratio of 2 ounces of oil to 6 ounces of vinegar. The chef needs 24 ounces of dressing. How much oil is needed? 2 ounces 4 ounces 6 ounces 8 ounces 12 ounces also 8 ounces isn't right and when you find the answer can you show me how you worked it out?

Answers

Answer:

6 ounces of oil

Step-by-step explanation:

Well the first salad dressing is probably 8 ounces because 2+6 = 8

Then we must find out how large this recipe compares to the original

24/8 = 3

So we need all the ingredients to be tripled to keep the same ratio of 2:6

The new dressing has 2*3 ounces of oil and 6*3 ounces of vinegar

which equals 6 ounces of oil and 18 ounces of vinegar.

Hope this helps!

(pls mark brainliest)

Solve the inequality below for x.
10r - 5 < 4r – 53

Answers

Answer:

r < −8

I hope this helps!

What value of x is in the solution set of 2(3x – 1) ≥ 4x – 6?

–10
–5
–3
–1

Answers

Answer: -1

Step-by-step explanation:

Given by your question

2(3x-1)≥4x-6

Distributive property to take off the parentheses

2×3x-2×1≥4x-6

6x-2≥4x-6

Subtract 4x on both sides (Subtractive property of equality)

6x-2-4x≥4x-6-4x

2x-2≥-6

Add 2 on both sides (Addition property of equality)

2x-2+2≥-6+2

2x≥-4

Divide 2 on both sides (Division property of equality)

2/2 x≥-4/2

x≥-2

----------------------------------------------------------------------------

Looking at the options you've provided.

-10 INCORRECT, it is not greater or equal to -2

-5 INCORRECT, it is not greater or equal to -2

-3 INCORRECT, it is not greater or equal to -2

-1 CORRECT, it is greater than -2

Hope this helps!! :)

Please let me know if you have any question

Answer:

x = - 1

Step-by-step explanation:

2(3x – 1) ≥ 4x – 6

6x - 2 ≥ 4x - 6

6x - 4x ≥ 2 - 6

2x ≥ - 4

x ≥ - 2

x ∈ [ - 2 ; + oo )

x = - 1

1 3/8 multiplied by 4????????????????????

Answers

Answer:

5.5 or 5 1/2

I didn't know if you need decimal answer or fraction so I put both!

5 1/2 ; 1=8/8 ; 8/8+3/8=11/8 ; 11/8 x 4 = 44/8 ; 44/8= 5 1/2
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