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3 years ago

12

Dale is on his way home in his car. He has driven 24 miles so far, which is three-fourths of the way home. What is the total len

gth of his drive ?

1 answer:

patriot [66]3 years ago

3 0

Answer:32

Step-by-step explanation:

24=(3/4)d multiply both sides by 4/3(the reciprocal) and you get d=32

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The expression -2(x - 4) is the same as

stealth61 [152]

Answer:

-2x+8

Step-by-step explanation:

-2(x-4)

Distribute

-2*x -2*-4

-2x+8

7 0

3 years ago

Read 2 more answers

The base and sides of a container is made of wood panels. The container does not have a lid. The base and sides are rectangular.

vfiekz [6]

Answer:

Minimum surface area = $70.77 cm^2$

Step-by-step explanation:

We are given that

Width of container=x cm

Length of container=2x cm

Volume of container= $54 cm^3$

We have to find the minimum surface areas that this container will have.

Volume of container= $l\times b\times h$

$x\times 2x\times h=54$

$2x^2h=54$

$h=\frac{54}{2x^2}=\frac{27}{x^2}$

Surface area of container= $2(b+l)h+lb$

Because the container does not have lid

Surface area of container= $S=2(2x+x)\times \frac{27}{x^2}+2x\times x$

$S=\frac{162}{x}+2x^2$

Differentiate w.r.t x

$\frac{dS}{dx}=-\frac{162}{x^2}+4x$

$\frac{dx^n}{dx}=nx^{n-1}$

Substitute $\frac{dS}{dx}=0$

$-\frac{162}{x^2}+4x=0$

$4x=\frac{162}{x^2}$

$x^3=\frac{162}{4}=40.5$

$x^3=40.5$

$x=(40.5)^{\frac{1}{3}}$

$x=3.4$

Again differentiate w.r.t x

$\frac{d^2S}{dx^2}=\frac{324}{x^3}+4$

Substitute x=3.4

$\frac{d^2S}{dx^2}=\frac{324}{(3.4)^3}+4=12.24>0$

Hence, function is minimum at x=3.4

Substitute x=3.4

Then, we get

Minimum surface area = $\frac{162}{(3.4)}+2(3.4)^2=70.77 cm^2$

8 0

3 years ago

If a/4= b/7 what is the value of a-b/b

eimsori [14]

Answer:

a = b*4/7

a-b/b

=4b/7 -b /b

=(4b-7b)/7 /b

=-3b/7 / b

cancelling b,

= -3/7

7 0

3 years ago

6 cubed x 6 to the power 4

spin [16.1K]

6^3x6^4
If we're trying to get an answer, 279,936.
Or to simplify, 6^7

7 0

4 years ago

Read 2 more answers

Explain why 8 < x < 2 has no solution? need the answer quick

lord [1]

Answer:

8 < x < 2 has no solution because there is no number greater than 8 (8 < x), yet less than 2 (x < 2). It's impossible, so there is no solution.

If the inequality was something like 8 < x < 10, then it will work because 8 can be less than x and x can be less than 10.

Hope this helps and have a great rest of your day! :)

8 0

2 years ago