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3 years ago

Round 54.5123 to the nearest thousandth

2 answers:

6 0

Your thousandth place is 2. So 54.51(2)3 and if you round it to the nearest tenth you need to look at the number behind the 2. Since 3 is lower than 5 your answer will be 54.512 or if you want you can add the zero 54.5120

andreev551 [17]3 years ago

3 0

Answer:

54.5123 rounded to the nearest thousandth is <u>54.512.</u>

Step-by-step explanation:

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A company has a budget of $280,000 for computing equipment. Tablets cost $500 each, laptops cost $2000 each, and servers cost $5

Kazeer [188]

Answer:

The number of tablets 200

the number of laptops 40

and, the number of servers 20

Step-by-step explanation:

Let the number of tablets be 'x'

the number of laptops be 'y'

and, the number of servers be 'z'

According to the given question

Total budget = $280,000

Tablets cost = $500 each

laptops cost = $2000 each

servers cost = $5000 each

Thus,

500x + 2000y + 5000z = 280,000 ..............(1)

also,

x = 5y ................(2)

and,

y = 2z

z = $\frac{\textup{y}}{\textup{2}}$ ............(3)

substituting y from 2 and 3 in equation 1, we get

(500 × 5y) + (2000 × y) + (5000 × $\frac{\textup{y}}{\textup{2}}$ ) = 280,000

2500y + 2000y + 2500y = 280,000

7000y = 280,000

y = 40

substituting y in equation 2, we get

x = 5 × 40 = 200

substituting y in equation 3 we get

z = $\frac{\textup{40}}{\textup{2}}$

z = 20

hence,

the number of tablets 200

the number of laptops 40

and, the number of servers 20

7 0

4 years ago

A river flows at 2m/s. Juan’s boat can travel twice as fast down the river as it can go up the river. How fast can the boat go i

solniwko [45]

Answer: 2m/s

Step-by-step explanation:

The boat goes twice as fast down the river, which means it goes twice as slow up the river.

Because the river flows at 2m/s, I think the answer is 2m/s

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2 years ago

Show that (4p^2-3q)^2+48p^2q =(4p^2+3q^2)

Brut [27]

Given:

The statement is

$(4p^2-3q)^2+48p^2q=(4p^2+3q^2)$

To prove:

The given statement.

Solution:

We have,

$(4p^2-3q)^2+48p^2q=(4p^2+3q^2)$

Now,

$LHS=(4p^2-3q)^2+48p^2q$

Using $(a-b)^2=a^2+b^2-2ab$ , we get

$LHS=(4p^2)^2+(3q)^2-2(4p^2)(3q)+48p^2q$

$LHS=(4p^2)^2+(3q)^2-24p^2q+48p^2q$

$LHS=(4p^2)^2+(3q)^2+24p^2q$

It can be rewritten as

$LHS=(4p^2)^2+(3q)^2+2(4p^2)(3q)$

Using $(a+b)^2=a^2+b^2+2ab$ , we get

$LHS=(4p^2+3q^2)$

$LHS=RHS$

Hence proved.

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3 years ago

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4 years ago

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Viktor [21]

Answer:

Step-by-step explanation:

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3 years ago

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