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weqwewe [10]
3 years ago
5

Amanda used 24 grams of paint to paint a wooden cube. When it dried, she cut the cube into 8 equal cubes. How many more grams of

paint does Amanda need to paint the unpainted surfaces of the 8 cubes?
Mathematics
1 answer:
kari74 [83]3 years ago
7 0

Answer:

<h2>Amanda needs 72 grams of paint</h2>

Step-by-step explanation:

Notice that she already painted one face of each cube, that is, 8 faces in total, and she used 24 grams for that.

Now, there remain 3 faces per cube to be painted, which means there are 24 faces.

Then, we use the rule of three, if she used 24 grams of paint for 8 faces, how much grams of paint she would need to paint 24 faces?

24 \times \frac{24}{8}= 72 \ grams

Therefore, Amanda needs 72 grams of paint for the unpainted surfaces.

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(Please help, problem is in the photo.)
Rama09 [41]
First we need to find the gradient of K
which is y1-y2/x1-x2
(-1,3) and (5,-2)
so it becomes 3-(-2)/-1-5
m=-5/6
when two lines are perpendicular their gradients multiply to make -1
that means the gradient of L has to be 6/5
we can substitute the point on L (5,-2) and the gradient of 6/5 into y=mx+c
-2 = (6/5) x 5 + c
c = -8
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6 0
3 years ago
Read 2 more answers
7(2x-5)=21<br><br> What is x?
Over [174]

Answer:

x = 4

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 Equation</u>

7(2x - 5) = 21

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

  1. Distribute 7:                   2x - 5 = 3
  2. Isolate <em>x</em> term:                2x = 8
  3. Isolate <em>x</em>:                         x = 4

<u>Step 3: Check</u>

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

  1. Substitute in <em>x</em>:                  7(2(4) - 5) = 21
  2. Multiply:                             7(8 - 5) = 21
  3. Subtract:                            7(3) = 21
  4. Multiply:                             21 = 21

Here we see that 21 does indeed equal 21.

∴ x = 4 is the solution to the equation.

6 0
3 years ago
In the figure below, ∠ABC ≅ ∠DEC and ∠GFE ≅ ∠DCE. Point C is the point of intersection between segment AG and segment BD, while
I am Lyosha [343]

Answer:

See Below.

Step-by-step explanation:

We are given that:

\angle ABC \cong \angle DEC\text{ and } \angle GFE \cong \angle DCE

By vertical angles:

\displaystyle \angle DEC\cong \angle GEF\text{ and } \angle DCE\cong \angle ACB

Hence, by substitution:

\displaystyle \angle ABC\cong \angle GEF\text{ and } \angle GFE\cong \angle ACB

Then by Angle-Angle Similarity:

\Delta ABC \sim \Delta GEF

8 0
3 years ago
How can the expression 3(4x) + 2(7y) be simplified?
Anna007 [38]
The answer is:
12x+14y
8 0
4 years ago
Read 2 more answers
Two pieces of equipment were purchased for a total of $4000. If one piece cost $850 more than
ruslelena [56]

The price of less expensive equipment is $1575.

Step-by-step explanation:

Let,

Price of one equipment = x

Price of other equipment = y

According to given statement;

x+y=4000   Eqn 1

x = y+850    Eqn 2

Putting Eqn 2 in Eqn 1

(y+850)+y=4000\\y+850+y=4000\\2y=4000-850\\2y=3150

Dividing both sides by 2;

\frac{2y}{2}=\frac{3150}{2}\\y=1575

Putting y=1575 in Eqn 2;

x=1575+850\\x=2425

The price of less expensive equipment is $1575.

Keywords: linear equation, substitution method

Learn more about linear equations at:

  • brainly.com/question/11343416
  • brainly.com/question/11416224

#LearnwithBrainly

3 0
3 years ago
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