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3 years ago

How can the Distributive Property help when you are multiplying by a two-digit number

Mathematics

2 answers:

eimsori [14]3 years ago

5 0

The distributive property lets you multiply a sum by multiplying each addend separately and then add the products.

It states that when a number is multiplied by the sum of two numbers, the first number can be distributed to both of those numbers and multiplied by each of them separately, then adding the two products together for the same result as multiplying the first number by the sum.

Here, calculating 8 × 27 can made easier by breaking down 27 as 20 + 7 or 30 − 3.

Distributive Property is easy to remember if you recall that "multiplication distributes over addition".They write this property as "a(b + c) = ab + ac". In numbers, this means, 2(3 + 4) = 2×3 + 2×4.

galben [10]3 years ago

3 0

The distributive property explains that multiplying two numbers (factors) together will result in the same thing as breaking up one factor into two addends, multiplying both addends by the other factor, and adding together both products.

I got this from google for a more definitive answer than my original.

I hope this helps, if not, comment below please!!!

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Assume a normal distribution and that the average phone call in a certain town lasted 4 min, with a standard deviation of 1 min.

olya-2409 [2.1K]

SOLUTION

The mean is 4min

standard deviation is 1min

the z score is

$z=\frac{x-\bar{x}}{\sigma}$

where

$\begin{gathered} x=3 \\ \bar{x}=4 \\ \sigma=1 \end{gathered}$

then we have

$\begin{gathered} z=\frac{3-4}{1}=\frac{-1}{1}=-1 \\ z=-1 \end{gathered}$

The probability the call lasted less than 3 min will be

Therefore, the probability that (z < -1 ) is

[tex]\begin{gathered} Pr(z<-1)=Pr(0Hence, the percentage of the calls that lasted less than 3 min is 16%

4 0

1 year ago

Determine the horizontal, vertical, and slant asymptotes: y=x2+2x-3/x-7

densk [106]

Answer:

vertical asymptote: x = 7
slant asymptote: y = x+9

Step-by-step explanation:

The vertical asymptotes are found where a denominator factor is zero (and there is no corresponding numerator factor to cancel it). Here, that is at x = 7.

There is no horizontal asymptote because the numerator is of higher degree than the denominator.

When you divide the numerator by the denominator, you get ...

y = (x +9) +60/(x -7)

Then when x gets large, the behavior is governed by the terms not having a denominator: y = x +9. This is the equation of the slant asymptote.

3 0

3 years ago

Which is the longest? A. 2 km B. 25 m C. 2,500 cm D. 3,000 mm

Leona [35]

2km=2000m
25m=25m
2500cm=25m
3000mm=3m

Hence the longest is 2km=2000m

8 0

2 years ago

9) Which figure has 90° rotational symmetry?

IceJOKER [234]

The answer is B. Thank you

6 0

3 years ago

Douglas invests money in two simple interest accounts. He invests three times as much in an account paying 14% as he does in an

Rainbow [258]

Douglas invested $ 1300 altogether

Solution:

Let x represent the amount invested in the account paying 14% interest.

Let y represent the amount invested in the account paying 5% interest

He invests three times as much in an account paying 14% as he does in an account paying 5%

Which means,

x = 3y

The simple interest is given by formula:

$S.I = \frac{p \times n \times r}{100}$

Where,

"p" is the principal

"n" is the number of years

"r" is the rate of interest

He earns $152.75 in interest in one year from both accounts combined

Therefore,

Combined S.I = 152.75

n = 1 year

Considering the account earning 14% interest:

$S.I = \frac{3y \times 14 \times 1}{100}\\\\S.I = 0.42y$

Considering the account earning 5% interest:

$S.I = \frac{y \times 5 \times 1}{100}\\\\S.I = 0.05y$

Since, Combined S.I = 152.75

Therefore,

0.42y + 0.05y = 152.75

0.47y = 152.75

Divide both sides by 0.47

y = 325

Therefore,

x = 3y

x = 3(325)

x = 975

how much did he invest altogether?

Amount invested together = x + y = 975 + 325 = 1300

Thus he invested $ 1300 altogether

3 0

2 years ago