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AleksandrR [38]
3 years ago
13

Write an equivalent expression for n x a using only addition

Mathematics
2 answers:
bulgar [2K]3 years ago
7 0

Answer:

Equivalent expression for n x a  = a+ a+a+a....n times

Step-by-step explanation:

Given: Expression for n x a .

To find : Write an equivalent expression for n x a using only addition.

Solution : We have given that n x a .

Here, we can say Sum of  a is n times.

We can rewrite it n x a  = a+ a+a+a....n times.

Example : 3 x 2 = 2 +2+ 2.

                   6 = 6 ( true)

Therefore , equivalent expression for n x a  = a+ a+a+a....n times.

Crazy boy [7]3 years ago
6 0
Suppose that n and a are two real and integers.
 We have then that we can rewrite an expression of the form:
 n * a

 As the sum of "a" times "n".
 For example:
 For n = 4 and a = 3 we have:
 4 * 3 = 12

 Equivalently we have:
 4 * 3 = 4 + 4 + 4 = 12
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A shipping container will be used to transport several 80-kilogram crates across the
Leno4ka [110]

Answers:

  • The inequality to solve is 80x+6300 \le 26500
  • The solution to the inequality is x \le 252.5
  • Interpretation: The most crates we can load is 252 since we can only load a positive whole number of crates, and because 253 is too many.

==============================================================

Explanation:

x = number of 80-kilogram crates

x is some positive whole number

1 crate weighs 80 kilograms, so x of them will weigh 80x kilograms.

This is added on top of the 6300 kg from the other cargo already on board.

We have a total weight of 80x+6300. Let's call this T.

So T = 80x+6300

We want T to be 26500 or smaller. Otherwise, we've gone over capacity.

This must mean we want T \le 26500 which is the same as saying 80x+6300 \le 26500 after replacing T with 80x+6300.

---------------------------

Let's follow PEMDAS in reverse to isolate x

80x+6300 \le 26500\\\\80x+6300-6300 \le 26500-6300 \ \text{ ... subtract 6300 from both sides}\\\\80x \le 20200\\\\\frac{80x}{80} \le \frac{20200}{80} \ \text{ ... divide both sides by 80}\\\\x \le 252.5\\\\

The inequality sign stays the same the entire time. It would only flip if we divided both sides by a negative number.

In the last step, we get a decimal value. However, as stated earlier, x is a positive whole number.

We cannot round to 253 because that's too high. We can check x = 253 is too high by noticing that...

80x+6300 = 80*253+6300 = 26,540

which is over the 26,500 mark by 40 kg

So we must round down to the nearest whole number and find that x = 252 is the largest x value possible. Let's check to see if we're under the weight limit

80x+6300 = 80*252+6300 = 26,460

We're under the 26,500 weight limit (with 40 kg to spare)

In short, the most crates that we can load is 252 crates in addition to the other cargo that collectively weighs 6300 kg (which may or may not consist of those 80-kilogram crates).

5 0
3 years ago
Property taxes are placed on the tax roll based on a property's assessed value. If a tax district has a tax rate of 0.6%, then w
Serjik [45]

Answer:

1170

Step-by-step explanation:

195000 * 0.006= 1170

7 0
4 years ago
If a cat falls out of a tree, it has a probability of 0.92 that it will land
Alex_Xolod [135]

The probability that the cat lands on its feet both times it falls out of a tree is 0.85

<h3>How to determine the probability?</h3>

The probability that the cat lands on its feet is given as:

P(Feet) = 0.92

The probability that it lands on its feet twice is calculated using:

P = P(Feet) * P(Feet)

So, we have:

P = 0.92 * 0.92

Evaluate

P = 0.85

Hence, the probability is 0.85

Read more about probability at

brainly.com/question/251701

#SPJ1

3 0
2 years ago
"If the P-value is smaller than the level of significance α, then the researcher should __________ at level α."
Virty [35]

Answer:

The researcher should reject the null hypothesis at the significance level

Step-by-step explanation:

If the P-value is smaller than the significance level, the null hypothesis is rejected

If the P-value is the same as the significance level, the null hypothesis is rejected

5 0
3 years ago
Read 2 more answers
115+150+150+150+150-100​
tresset_1 [31]

Answer   415

Step-by-step explanation:

4 0
4 years ago
Read 2 more answers
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