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3 years ago

0.4(2-0.5) = 0.2(1 + 3) Help me

Mathematics

2 answers:

Lina20 [59]3 years ago

7 0

Answer:

0.6 = 08

Step-by-step explanation:

Irina18 [472]3 years ago

3 0

Answer: x = 4 and value is 1.4

Step-by-step explanation:

We have 0.4*(x - 0.5) = 0.2*(x + 3)

Let's first simplify this by using the distribution property.

0.4 * x = 0.4x

-0.5*0.4 = -0.2

0.2*x = 0.2x

3*0.2 = 0.6

So, now that that's over, we have: 0.4x - 0.2 = 0.2x + 0.6

Let's get rid of that 0.2 on the left to isolate x.

We do that by adding 0.2 to both sides since 0.2 is a negative number.

0.4x = 0.2x + 0.8

Now we subtract 0.2x from both sides which leaves us with: 0.2x = 0.8

Now we divide 0.8 by 0.2 to get x by itself.

x = (0.8/0.2)

x = 4

To get the value of the equation and to check our work we substitute x for 4.

0.4(x - 0.5) = 1.4

0.2(x + 3) = 1.4

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F(x) = 3x + 6 please help quickly!!!!!!!

Georgia [21]

Given the function, f(x) = 3x + 6, we can solve for f(a), f(a + h) and $\frac{(f(a + h) - f(a)) }{h}$ by substituting their values into f(x) = 3x + 6. We will have the following:

$\mathbf{f(a) = 3a + 6}\\\\\mathbf{f(a + h) = 3a + 3h + 6}\\\\\mathbf{\frac{(f(a + h) - f(a)) }{h} = 6}$

Given:

f(x) = 3x + 6

We are told to find:

f(a)
f(a + h), and
$\frac{(f(a + h) - f(a)) }{h}$

1. Find f(a):

Substitute x = a into f(x) = 3x + 6

f(a) = 3(a) + 6

f(a) = 3a + 6

2. Find f(a + h):

Substitute x = a + h into f(x) = 3x + 6

f(a + h) = 3(a + h) + 6

f(a + h) = 3a + 3h + 6

3. Find $\frac{(f(a + h) - f(a)) }{h}$ :

Plug in the values of f(a + h) and f(a) into $\frac{(f(a + h) - f(a)) }{h}$

Thus:

$\frac{((3a + 3h + 6) - (3a + 6)) }{h}\\\\\frac{(3a + 3h + 6 - 3a - 6) }{h}\\\\$

Add like terms

$\frac{(3a - 3a + 3h + 6 - 6) }{h}\\\\= \frac{3h }{h}\\\\\mathbf{= 3}$

Therefore, given the function, f(x) = 3x + 6, we can solve for f(a), f(a + h) and $\frac{(f(a + h) - f(a)) }{h}$ by substituting their values into f(x) = 3x + 6. We will have the following:

$\mathbf{f(a) = 3a + 6}\\\\\mathbf{f(a + h) = 3a + 3h + 6}\\\\\mathbf{\frac{(f(a + h) - f(a)) }{h} = 6}$

Learn more here:

brainly.com/question/8161429

6 0

3 years ago

A mountain bike wheel has a diameter of 26 in.

ch4aika [34]

C = pi * d

Plug in what we know:

C = 3.14 * 26

Multiply:

C = 81.64

3 0

3 years ago

ABCD is a trapezoid. What is the area of trapezoid?

lana [24]

Let h represent the height of the trapezoid, the perpendicular distance between AB and DC. Then the area of the trapezoid is
Area = (1/2)(AB + DC)·h
We are given a relationship between AB and DC, so we can write
Area = (1/2)(AB + AB/4)·h = (5/8)AB·h

The given dimensions let us determine the area of ∆BCE to be
Area ∆BCE = (1/2)(5 cm)(12 cm) = 30 cm²

The total area of the trapezoid is also the sum of the areas ...
Area = Area ∆BCE + Area ∆ABE + Area ∆DCE
Since AE = 1/3(AD), the perpendicular distance from E to AB will be h/3. The areas of the two smaller triangles can be computed as
Area ∆ABE = (1/2)(AB)·h/3 = (1/6)AB·h
Area ∆DCE = (1/2)(DC)·(2/3)h = (1/2)(AB/4)·(2/3)h = (1/12)AB·h

Putting all of the above into the equation for the total area of the trapezoid, we have
Area = (5/8)AB·h = 30 cm² + (1/6)AB·h + (1/12)AB·h
(5/8 -1/6 -1/12)AB·h = 30 cm²
AB·h = (30 cm²)/(3/8) = 80 cm²

Then the area of the trapezoid is
Area = (5/8)AB·h = (5/8)·80 cm² = 50 cm²

6 0

3 years ago

A flying carpet flies 2.4 miles with the wind in the same amount of time it flies 1.4 miles against the wind. The wind speed is

Ainat [17]

Answer:

$15.2~mph$

Step-by-step explanation:

Let the time flown by the flying carpet be $t$ . Then, we have that $(2.4)/t=(1.4)/t+2*4$ .

We multiply both sides of the equation by $t$ to get $2.4=1.4+8t$ .

We subtract $1.4$ from both sides to get $1=8t$ .

We divide both sides of the equation by $t=1/8$ .

We know that the speed of the flying carpet in still wind is the average of the rates of the speed of the flying carpet with the wind and against the wind.

The speed with wind is $(2.4)/(1/8)=19.2$ mph.

The speed against wind is $(1.4)/(1/8)=11.2$ mph.

The speed in still wind is $(19.2+11.2)/2=(30.4)/2=15.2$ .

Therefore, the answer is $\boxed{15.2~mph}$ and we're done!

4 0

3 years ago

you got a new credit card with an interest rate of 18% compounded monthly and no minimum payment. you go on a shopping spree and

just olya [345]

The total amount owed after 6 months will be found using the formula:
FV=P(1+r/100*n)^n
P=principle=$10000
r=rate=18%
n=terms=0.5

FV=10000(1+18/2*100)^0.5
FV=$10,440.30651
Thus the amount owed will be $10440.30651

7 0

4 years ago