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3 years ago

how does knowing where the halfway point is help you find which hundred thousand 138,202 is closest to? Explain

2 answers:

8 0

Knowing the halfway point (which is 5) helps you so you know wither or not the hundred thousands place goes high or stays the same.
So, for this problem 138,202 would round out to 100,000 because the 3 is below 5 so the hundred thousands place stays the same.

Cerrena [4.2K]3 years ago

3 0

Answer:

100,000

Step-by-step explanation:

The given number is 138, 202. We have to find the number hundred thousand which is close to the given number.

Here the hundred thousand place digit is 1.

138,202

Now look for the next right digit which is 3.

3 is not halfway mark (5) so we have to keep the hundred thousand place as it is and place 0's to the rest of the places.

Note: If the digit right to the hundred thousand place is equal or more than halfway mark, we can add 1 with the hundred thousand place.

So, 138,202 = 100,000 since the digit right to the hundred thousand place is not halfway mark.

Therefore, the answer is 100,000

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Solve this equation: α ÷ 6 + 4 = 16

Ilia_Sergeevich [38]

$\alpha \div 6 + 4= 16\\\\Subtract ~4~on~both~sides\\\\ \alpha \div 6 +4 -4 = 16 -4\\\\ \alpha \div 6 = 16 - 4\\\\ \alpha \div 6 = 12\\\\Multiply~both~sides~by~6\\\\a \div 6\times 6 = 12\times 6\\\\ \alpha = 12\times 6 \\\\ \boxed{\bf{\alpha = 72}}$

Your final answer is alpha = 72.

5 0

3 years ago

Read 2 more answers

Which of the following are valid (necessarily true) sentences? a. (∃x x = x) ⇒ (∀ y ∃z y = z). b. ∀ x P(x) ∨ ¬P(x). c. ∀ x Smart

Phantasy [73]

Answer:

b; ∀x P(x) ∨ ¬P(x)

Step-by-step explanation:

Suppose that we have a proposition p

Such that p can be true or false.

We can define the negation of p as:

¬p

Such that, if p is false, then ¬p is true

if p is true, then ¬p is false.

Also remember that a proposition like:

p ∨ q

is true when, at least one, p or q, is true.

Then if we write:

p ∨ ¬p

Always one of these will be true (and the other false)

Then the statement is true.

And if the statement depends on some variable, then we will have that:

p(x) ∨ ¬p(x)

is true for all the allowed values of x.

from this, we can conclude that the statement that is always true is:

b; ∀x P(x) ∨ ¬P(x)

Where here we have:

For all the values of x, P(x) ∨ ¬P(x)

7 0

3 years ago

What is the mean of 72,73,86,59,75,58,50,55

Rashid [163]

Mean is the average. To find the mean of a data set, you have to add all the numbers and divide the sum by the amount of numbers you added.

In this equation, you have 8 numbers. That means you will be dividing by 8.

The first thing you need to do is add all the numbers. Add:

$72+73+86+59+75+58+50+55 = \bf 528$

Now that you have added all the numbers and got the sum, divide by 8. Remember that you will be dividing by 8 since you added 8 numbers.

Divide:

$528 \div 8 = \bf 66$

The mean is 66

If you have any questions, feel free to ask in the comments! :)

7 0

3 years ago

Read 2 more answers

Write the standard equation of the circle with the given center is (0,0) and radius is 2.5

BlackZzzverrR [31]

Answer:

x² + y² = 6.25

Step-by-step explanation:

The standard equation of a circle is ( x – h)² + ( y - k)² = r² where the center is (h, k) and r is the radius.

From your given information that the center is (0, 0) then both h and k are 0. Then r is 2.5, so

( x – 0)² + ( y - 0)² = (2.5)²

x² + y² = (2.5)²

x² + y² = 6.25

7 0

3 years ago

Kayla needs $14,000 worth of new equipment for his shop. He can borrow this money at a discount rate of 10% for a year.

arlik [135]

Answer:

$15400

Step-by-step explanation:

Principle amount, P = $14000

Time, T = 1 year

Rate of interest, R = 10%

We know that maturity amount,

$A = P\left (1+\frac{R}{100} \right )^{n}$

where n is number of years

$A = P\left (1+\frac{R}{100} \right )^{n}$

$A = 14000\left (1+\frac{10}{100}\right )^{1}$

$A = 14000\left (1+\frac{1}{10}\right )$

$A = 14000\left (\frac{11}{10}\right )$

$A = 15400$

The maturity amount is $15400

6 0

3 years ago