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nika2105 [10]
2 years ago
13

A living room will be painted with white trim. The ratio of the blue surface area between the walls is 1:10. Of 2 gallons of blu

e paint are used for the walls , how many pints of white pant do we need for the trim
Mathematics
1 answer:
bija089 [108]2 years ago
7 0

Answer:

20 gallons

Step-by-step explanation:

The living room is made up of white trim and blue surface area between the walls. Since the ratio of the blue surface area between the walls to the white trim is given by 1 : 10.

Also 2 gallons of blue paints are used for the walls, let x represent the number of white paint used in gallons. Hence:

number of white paint in gallons = [1 / (1 + 10)] * total number of paints = 1 / 11 * total number of paints

2 = 1/11  * total number of paints used

total number of paints  = 22 gallons

number of white paint (x) = [10 / (1 + 10)] * total number of paints = 1 / 11 * total number of paints

x = 10/11 * 22

x = 20 gallons

Therefore 20 gallons of white paint was used

You might be interested in
If Rachel were to paint her living room alone, it would take 2 hours. Her sister Fran could do the job in 5 hours. How many hour
snow_tiger [21]

Rachel and her sister Fran together can paint the living room in \frac{10}{7} hours

Given that

Rachel can paint half of the living room in 1 hour

Fran can paint \frac{1}{5}th part of the living room in 1 hour

Let's assume together they paint the living room in x hours

⇒ together they can paint \frac{1}{x}th part of the living room in 1 hour

By proportions,

⇒\frac{1}{2}+\frac{1}{5}= \frac{1}{x} {using operation proportions and addition}

⇒\frac{7}{10}=\frac{1}{x}

⇒x=\frac{10}{7}        

⇒ together they can paint \frac{7}{10}th part of the living room in 1 hour

It means, Rachel and her sister Fran together can paint the living room in \frac{10}{7} hours

Learn more about paint here:

brainly.com/question/15277377

#SPJ9

6 0
1 year ago
PRE CALCULUS
Mumz [18]
Start with the parent function f(x) = x³

Notice the function f(x) = (x - 4)³ that a value '4' is subtracted from 'x' ⇒ This means the function f(x) is translated four units to the right.

Then the function f(x) = ¹/₂ (x - 4)³, the function (x - 4)³ is halved vertically ⇒ Half the y-coordinate

Then the function f(x) = ¹/₂ (x - 4)³ + 5 that a value '5' is added to ¹/₂ (x - 4)³ ⇒ This means the function f(x)  is translated five units up

So the order of transformation that is happening to f(x) = x³ is translation four units to the right, half the y-coordinate, then translate 5 units up.

3 0
3 years ago
HELP ASAP FOR BRAINLIEST!!
Diano4ka-milaya [45]

Answer:

Not equivalent

Step-by-step explanation:

The three would also be distributed to z making the correct equivalent expression 15+3z

8 0
3 years ago
Just number 7 would be fine but if you could also number 8 would help a lot​
BlackZzzverrR [31]

Answer:

7. r = -5

8. x = -1

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

Step-by-step explanation:

<u>Step 1: Define</u>

r + 2 - 8r = -3 - 8r

<u>Step 2: Solve for </u><em><u>r</u></em>

  1. Combine like terms:                    -7r + 2 = -3 - 8r
  2. Add 8r to both sides:                   r + 2 = -3
  3. Subtract 2 on both sides:            r = -5

<u>Step 3: Check</u>

<em>Plug in r into the original equation to verify it's a solution.</em>

  1. Substitute in <em>r</em>:                    -5 + 2 - 8(-5) = -3 - 8(-5)
  2. Multiply:                              -5 + 2 + 40 = -3 + 40
  3. Add:                                    -3 + 40 = -3 + 40
  4. Add:                                    37 = 37

Here we see that 37 does indeed equal 37.

∴ r = -5 is a solution of the equation.

<u>Step 4: Define equation</u>

-4x = x + 5

<u>Step 5: Solve for </u><em><u>x</u></em>

  1. Subtract <em>x</em> on both sides:                    -5x = 5
  2. Divide -5 on both sides:                      x = -1

<u>Step 6: Check</u>

<em>Plug in x into the original equation to verify it's a solution.</em>

  1. Substitute in <em>x</em>:                    -4(-1) = -1 + 5
  2. Multiply:                               4 = -1 + 5
  3. Add:                                     4 = 4

Here we see that 4 does indeed equal 4.

∴ x = -1 is a solution of the equation.

8 0
3 years ago
Read 2 more answers
How much is 1.4 kg minus 650 grams
faltersainse [42]
First of all you have to convert kg to grams

so there is 1 kg in 1000g
.4 kg is 400g
1000+400= 1400g

1400-650 = 750 kg

that's your final answer
8 0
3 years ago
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