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2 years ago

2(x/8 + 3) = 7 + 1/4x what is x

Mathematics

1 answer:

malfutka [58]2 years ago

5 0

Answer:

x1 = 2 - $\sqrt{5}$

x2= 2 + $\sqrt{5}$

Step-by-step explanation:

x/4 + 6 = 7 + 1/4x

(x^2 - 1)/4x = 1

x^2 - 1 = 4x

x^2 - 4x -1 = 0

x= (4+ $\sqrt{20}$ )/2 = 2 - $\sqrt{5}$

x= 2 + $\sqrt{5}$

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Is 22 ounces equal to 6 pound

serious [3.7K]

NO

16 ounce = 1 pound

22 ounce = 1.375 pound ≠ 6 pound

7 0

3 years ago

An inverted pyramid is being filled with water at a constant rate of 25 cubic centimeters per second. The pyramid, at the top, h

UNO [17]

Answer:

$\frac{225}{16} cm/s$

Step-by-step explanation:

We are given that

$\frac{dV}{dt}=25cm^3/s$

Side of base=4 cm

l=w=4 cm

Height,h=12 cm

We have to find the rate at which the water level rising when the water level is 4 cm.

Volume of pyramid= $\frac{1}{3}lwh=\frac{1}{3}l^2h$

$\frac{l}{h}=\frac{4}{12}=\frac{1}{3}$

$l=\frac{1}{3}h$

Substitute the value

$V=\frac{1}{27}h^3$

Differentiate w.r.t t

$\frac{dV}{dt}=\frac{3}{27}h^2\frac{dh}{dt}$

Substitute the values

$25=\frac{1}{9}(4^2)\frac{dh}{dt}$

$\frac{dh}{dt}=\frac{25\times 9}{16}=\frac{225}{16} cm/s$

5 0

3 years ago

A high school student has started a new job. He plans to save $1 the first week, $2 the second week, $4 the third week, and $8 t

Mama L [17]

If you already know that you have . . .

1$ after week 1
2$ after week 2
4$ after week 3
8$ after week 4

. . . You can then tell that every week the money you save doubles (times 2)

So to continue . . . .
16$ after week 5
32$ after week 6
64$ after week 7
128$ after week 8
256$ after week 9
512$ after week 10

You will then know that after ten weeks u will have 512$ which is answer choice D.

Hope this helps! :)

3 0

3 years ago

Read 2 more answers

What is th GCF of 21 and 18

ZanzabumX [31]

Answer:

The answer is 3.

Explanation:

Factors of 18:

1, 2, 3, 6, 9, 18.

Factors of 21:

1, 3, 7.

The highest number that both sets contain is 3, so the GCF will be 3.

5 0

3 years ago

Read 2 more answers

My last 2 questions so I felt generous. (Answer them for brainiest)

prohojiy [21]

Answer:

Step-by-step explanation:

19. 18-4.62=13.38 to spend on the systems or 6.69 a piece

20. 45000+300m=60000

m=50

45000+300m>60000

He needs at least 50 machines to make the 60000.

5 0

2 years ago