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Sergio039 [100]
3 years ago
6

6(a+3)=18+6a soolve for a

Mathematics
2 answers:
Ulleksa [173]3 years ago
7 0

6(a+3)=18+6a    (distribute the 6)

6a+18=18+6a    (subtract 18 to both sides)

6a=6a    (divide 6 to both sides)

a=a    

When it's like this, you can see that whatever "a" value you plug in, it'll make the equation true. This means that a=infinitely many solutions

saw5 [17]3 years ago
3 0

Hi,

Let's solve the equation step by step.

6(a+3)=18+6a

Step 1: Simplify both sides of the equation.

6(a+3)=18+6a

(6)(a)+(6)(3)=18+6a(Distribute)

6a+18=18+6a

6a+18=6a+18

Step 2: Subtract 6a from both sides.

6a+18−6a=6a+18−6a

18=18

Step 3: Subtract 18 from both sides.

18−18=18−18

0=0

Answer:

All real numbers are solutions.

Have a great day!

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A. (-10,-10)<br> B. (-1 /12, 9 1/2) <br> C. (1/2, 4) <br> D. (1,8)
lara31 [8.8K]

Answer:

I think The answer is ( -10, 10 )

5 0
2 years ago
Pls send me step by step pic​
Thepotemich [5.8K]

To solve, simply do this:

(\frac{1}{2}^3)-(\frac{3}{4} )^2\\\\\frac{1}{2} *\frac{1}{2} *\frac{1}{2} *\frac{1}{2} \\\\\frac{1}{8} -(\frac{3}{4})^2\\\\\frac{1}{8}-\frac{9}{16}\\\\=\frac{-7}{16}

Then you'll get the answer, -7/16

7 0
3 years ago
5. The dimensions, in inches, of a shipping box at We Ship 4 You can be expressed as width x, length x + 5, and height 3x - 1. T
meriva
The volume of a cuboid is given by length × width × height

We have:

Volume = 7.6 ft³
Height = 3x - 1
Length = x + 5
Width = x

Substituting these into the formula, we have:

7.6 = (3x - 1) (x + 5) (x)
7.6 = [3x² + 15x - x - 5] (x)
7.6 = [3x² + 14x - 5](x)
7.6 = 3x³ + 14x² - 5x
0 = 3x³ + 14x² - 5x - 7.6

Drawing the graph is one way of finding the solution (refer to the graph below):

We have three solutions (where the curve crosses the x-axis):
x = -4.9
x = -0.6
x = 0.8

Putting these solutions back into the context, since we are looking for the value of x which is part of measurement of length, we cannot have negative value, so we will take the value of x = 0.8 ft

Converting  0.8 ft into inches = 0.8 × 12 inches = 9.6 inches

Answer: x = 9.6 inches

7 0
2 years ago
a collection of dimes and quarters is worth $19.85. There are 128 coins in all. How many of each type of coin are in the collect
PolarNik [594]

Number of dimes were 81 and number of quarters were 47

<em><u>Solution:</u></em>

Let "d" be the number of dimes

Let "q" be the number of quarters

We know that,

value of 1 dime = $ 0.10

value of 1 quarter = $ 0.25

<em><u>Given that There are 128 coins in all</u></em>

number of dimes + number of quarters = 128

d + q = 128 ------ eqn 1

<em><u>Also given that collection of dimes and quarters is worth $19.85</u></em>

number of dimes x value of 1 dime + number of quarters x value of 1 quarter = 19.85

d \times 0.10 + q \times 0.25 = 19.85

0.1d + 0.25q = 19.85  -------- eqn 2

<em><u>Let us solve eqn 1 and eqn 2</u></em>

From eqn 1,

d = 128 - q -------- eqn 3

<em><u>Substitute eqn 3 in eqn 2</u></em>

0.1(128 - q) + 0.25q = 19.85

12.8 - 0.1q + 0.25q = 19.85

12.8 + 0.15q = 19.85

0.15q = 7.05

<h3>q = 47</h3>

Therefore from eqn 3,

d = 128 - q

d = 128 - 47

<h3>d = 81</h3>

Thus number of dimes were 81 and number of quarters were 47

4 0
3 years ago
8x=1 give your answer as a fraction in its simplest form
kotegsom [21]

Answer:

the answer is 1 over 8 , 1/8

4 0
3 years ago
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