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2 years ago

PLEASE HELP ME ILL MARK AS BRAINLIEST

Mathematics

2 answers:

Gelneren [198K]2 years ago

5 0

0.05 ---> 1/18

square root of 0.25 ------> 0.05

1/7------> 0.142857 repeating

0.6 -------> 2/3

Alborosie2 years ago

5 0

Answer:

0.05 ---> 1/18

1/7 ---> 0.142857

0.6 ---> 2/3

0.25 ---> 0.05

Step-by-step explanation:

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What is the volume of a box with fractions 5/3 1/4 and 3/2

Andru [333]

15/24 because 5/3 X 1/4 = 5/12 X 3/2= 15/ 24

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3 years ago

Find the volume of the region between the planes x plus y plus 2 z equals 2 and 4 x plus 4 y plus z equals 8 in the first octant

Alex787 [66]

Find the intercepts for both planes.

Plane 1, x + y + 2z = 2:

$y=z=0\implies x=2\implies (2,0,0)$

$x=z=0\implies y=2\implies(0,2,0)$

$x=y=0\implies 2z=2\implies z=1\implies(0,0,1)$

Plane 2, 4x + 4y + z = 8:

$y=z=0\implies4x=8\implies x=2\implies(2,0,0)$

$x=z=0\implies4y=8\impliesy=2\implies(0,2,0)$

$x=y=0\implies z=8\implies(0,0,8)$

Both planes share the same x- and y-intercepts, but the second plane's z-intercept is higher, so Plane 2 acts as the roof of the bounded region.

Meanwhile, in the (x, y)-plane where z = 0, we see the bounded region projects down to the triangle in the first quadrant with legs x = 0, y = 0, and x + y = 2, or y = 2 - x.

So the volume of the region is

$\displaystyle\int_0^2\int_0^{2-x}\int_{\frac{2-x-y}2}^{8-4x-4y}\mathrm dz\,\mathrm dy\,\mathrm dx=\displaystyle\int_0^2\int_0^{2-x}\left(8-4x-4y-\frac{2-x-y}2\right)\,\mathrm dy\,\mathrm dx$

$=\displaystyle\int_0^2\int_0^{2-x}\left(7-\frac72(x+y)\right)\,\mathrm dy\,\mathrm dx=\int_0^2\left(7(2-x)-\frac72x(2-x)-\frac74(2-x)^2\right)\,\mathrm dx$

$=\displaystyle\int_0^2\left(7-7x+\frac74 x^2\right)\,\mathrm dx=\boxed{\frac{14}3}$

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2 years ago

Back in ye olden days, cell phone companies charged for texting. A cell phone company charges 10 cents per text message if a cus

Alexeev081 [22]

Answer: It is worth it.

Step-by-step explanation:

If a customer sends 101 - 200 texts in a month, they get charged 8 cents per text.

If they send 201 - 300, they get charged 6 cents per month.

If you have sent 200 texts, your charge for the month will therefore be:

= 200 * 8

= $16.00

If you send the 201th text, you will be charged 6 cents per text. Total charge would be:

= 201 * 6

= $12.06

If you send 1 more text, it will be worth it because you will save:

= 16 - 12.06

= $3.94

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2 years ago

A computer room has 12 computers. The room is open for 4 hours each day. 25 students sigh up for computer time. Each student get

GuDViN [60]

Answer:

155 minutes

Step-by-step explanation:

1. Find the total available "computer time": 4 hours * 12 computers= 48 hours

2. Split this among all of the students: 48 hours/25 students= 1.92 hours

3. Convert to minutes: 1.92 hr/student * 60 minutes ≈ 155 minutes/student

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3 years ago

casey is six time as old as Ralph, In two years, she will be four time as old as Ralph. How old is each of them now?

Keith_Richards [23]

Casey is 18 years old and Ralph is 3 years old.

Step-by-step explanation:

Let,

Age of Casey = x

Age of Ralph = y

According to given statement;

x = 6y Eqn 1

In two years

x+2=4(y+2)

x+2=4y+8

x = 4y+8-2

x = 4y+6 Eqn 2

Putting value of x from Eqn 1 in Eqn 2

$6y=4y+6 \\6y-4y=6\\2y=6$

Dividing both sides by 2

$\frac{2y}{2}=\frac{6}{2}\\y=3$

Putting y=3 in Eqn 1

$x=6(3)\\x=18$

Casey is 18 years old and Ralph is 3 years old.

Keywords: word problems, substitution method

Learn more about substitution method at:

#LearnwithBrainly

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2 years ago