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3 years ago

What is 452 to the nearest thousand

Mathematics

2 answers:

Alex73 [517]3 years ago

6 0

0 because 452 does not round to any thousands

son4ous [18]3 years ago

5 0

The next larger even thousand is 1,000 .

The next smaller even thousand is zero thousands.

452 is nearer to zero thousand than it is to 1,000 .

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A rectangle has a length of 34 inches less than 5 times it’s width. If the area of the rectangle is 867 square inches, find the

pshichka [43]

Length of the rectangle is 51 inches

Solution:

Given that

Length of the rectangle in 34 miles less than 5 times its width

Area of rectangle = 867 square inches

Need to determine length of the rectangle.

Let assume width of the rectangle be represented by variable x.

So 5 times width of the rectangle =5x

34 inches less than 5 times width of the rectangle = 5x – 34

As Length of the rectangle in 34 miles less than 5 times its width

=> Length of the rectangle = 5x – 34

The formula for rectangle is given as:

$\text { area of rectangle }=length \times width$

As given that Area of rectangle = 867 square inches

$\begin{array}{l}{=>867=(5 x-34) \times(x)} \\\\ {=>5 x^{2}-34 x-867=0}\end{array}$

On solving quadratic equation by using quadratic formula

$x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

In our case a = 5, b = -34 and c = -867

On substituting value of a, b and c in quadratic formula we get

$\begin{array}{l}{x=\frac{-(-34) \pm \sqrt{(-34)^{2}-4 \times 5 \times(-867)}}{2 \times 5}} \\\\ {=>x=\frac{34 \pm \sqrt{18496}}{10}=\frac{34+136}{10}} \\\\ {=>x=\frac{34+136}{10}=17 \text { or } x=\frac{34-136}{10}=-10.2}\end{array}$

Since x represents width, it cannot be negative, so x = 17

Length of the rectangle = 5x – 34 = 5(17) – 34 = 51

Hence length of the rectangle is 51 inches

5 0

3 years ago

We are planning a reception for our daughter. The hall that we are renting charges $55 clean up fee. In addition to the cleanup

elena55 [62]

Answer:

89 is the maximum number of guests that can be invited within budget .

Step-by-step explanation:

The cleaning charges = $55

Total budget available = $3350

Cost per guest = $37

Now, actual budget available for guest = Total budget - Cleaning Fee

= $3350 - $ 55 = $3,295

Now, cost per head =$ 37

So, number of guests (n) possible in the budget

⇒ n = (Total guest Budget)/ Cost per head

= $3,295 / $37 = $89.05

or, n = $89.05

So, 89 is the maximum number of guests that can be invited within budget .

8 0

3 years ago

I need help. Thanks so much

ira [324]

LlL-=2-3=2=3-2=94308500496-405=4

4 0

2 years ago

A building across the street casts a shadow that is 24 feet long. Your friend is 6 feet tall and casts a shadow that is 4 feet l

Makovka662 [10]

the answers 36 ft tall

3 0

3 years ago

Read 2 more answers

Please help!posted picture of question

olchik [2.2K]

Answer:
$\frac{x^2 - 5}{4x + 1}$ , x ≠ -1/4

Explanation:
We are given that:
f (x) = 4x + 1
g(x) = x² - 5

We want to find the value of (g/f)(x). This means that we will simply divide g(x) by f(x) as follows:
$( \frac{g}{f} )(x) = \frac{g(x)}{f(x)} = \frac{x^2 - 5}{4x + 1}$

Now, we should note that any function is undefined if its denominator is equal to zero.
This means that for our current function:
4x + 1 cannot be equal to zero
4x + 1 = 0
4x = -1
x = -1/4
This means that the value of x cannot be -1/4, otherwise, our function would be undefined.

Based on the above, the last option is the correct one.

Hope this helps :)

8 0

2 years ago