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4 years ago

What value for a would make the equation true? Type in only the numerical answer or value.

Mathematics

2 answers:

Allisa [31]4 years ago

8 0

Answer:

a = 3

Step-by-step explanation:

Here you can use the cross multiplication strategy or whatever it's called. That's where you multiply the diagonals together. Its kinda long to explain, but you can google it for details.

In either case, you get the following equation:

8(2a-1) = 4(a+7)

Open the parenthesis

16a - 8 = 4a + 28

Subtract 4a from both sides

12a - 8 = 28

Add 8 to both sides

12a = 36

Divide both sides by 12

a = 3

Sorry for weird formatting I'm on an ipad.

Naddik [55]4 years ago

5 0

Answer:

Your answer is: A = 3

Solve for a by cross multiplying.

Step-by-step explanation:

Hope this helped : )

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The edge of a cube was found to be 30 cm with a possible error in measurement of 0.2 cm. Use differentials to estimate the maxim

rjkz [21]

Answer:

Maximum volume error = ±540 cm³

Relative error = 0.02

Percentage error = 2%

Step-by-step explanation:

Relative error : The ratio of volume error to the total volume.

Percentage error: The product of relative error and 100.

The volume of a cube is = $side^3$

v =x³

Differentiate with respect to x

$\frac{dv}{dx} = 3x^2$

$\Rightarrow dv = 3x^2 dx$

Here are x = 30 cm and dx= ±0.2 cm

∴ dv = 3×(30 cm)² (±0.2 cm)

=±540 cm³

The volume of the cube = 30³ cm ³ = 27,000 cm³

Then the relative error

$=\frac{dv}{v}$

$=\frac{540 cm^3}{27,000 cm^3}$

= 0.02.

The percentage error

= (0.02×100)

=2%

7 0

3 years ago

12w - 27 = - 34+14w Select the equation that has the same solution as the given equation above.

Lisa [10]

Anything with a value of w=3.5 would be equivalent.

To solve this, we cannot have a variable on both sides, so we will subtract 12w from both sides:
12w - 27 - 12w = -34 + 14w - 12w
-27 = -34 + 2w

Now add 34 to both sides:
-27+34 = -34 + 2w + 34
7 = 2w

Divide both sides by 2:
7/2 = 2w/2
3.5 = w

8 0

3 years ago

Read 2 more answers

The graph of a line is shown below. What is the equation of a line, in slope intercept form, that is parallel to this line and h

olganol [36]

Answer:

Y=-2/3+1

Step-by-step explanation:

It would be negative because that is where Y is 0

3 0

3 years ago

If the square root of the length of the hypotenuse of a right triangle is 2 units, what is the sum of the squares of the length