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4 years ago

Is d(10 + 20) equivalent to d x 10 + 20 X d?

Mathematics

1 answer:

Lady bird [3.3K]4 years ago

6 0

Answer:

Step-by-step explanation:

Distributive Law:The distributive Property says that multiplying a number by a group of numbers added together is the same as doing each multiplication separately.

a×(b+c)= a×b+a×c

commutative property: Commutative property says that we can swap numbers over and still get the same answer.

p×q=q×p

∴d( 10+20)

=d×10+d×20 [using distributive property]

=d×10+20×d [ using commutative property]

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Order the numbers from least to greatest. <br> 0.5, <br> -2, <br> 1/4, <br> -6.3

adoni [48]

Answer:

Given

Step-by-step explanation:

We have:

0.5

-2.0

-6.3

1/4 = 0.25

So ordering from least to greatest the greater negative integer comes since it is to the far left on the number line to the greater positive integer. Therefore the answer is:-

-6.3, -2, 0.25, 0.5

= -6.3, -2, 1/4, 0.4

5 0

3 years ago

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An Impressionist painting increases in value

jok3333 [9.3K]

Answer:

A = $8406.6

Step-by-step explanation:

Given:

Average rate $r=9\%$

Initial cost of painting $a = \$1500$

Time $t = 20\ years$

We need to find the final amount of painting at the end of a 20-year.

Solution:

Using Exponential Growth rate formula as:

$A = a(1+r)^t$ ----------(1)

Where:

A = Final amount

a = Initial amount.

r = Rate as a decimal.

t = Time.

Now, we substitute all given values in equation 1.

$A = 1500(1+0.09)^{20}$

$A = 1500(1.09)^{20}$

Substitute $1.09^{20} = 5.60$ in above equation.

$A = 1500\times 5.60$

A = $8406.62

Therefore, value of the painting at the end of a 20-year A = $8406.6

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4 years ago

There are 5 4/5 cups of milk left in a carton write 5 4/5 as an improper fraction

VMariaS [17]

Hello! And thank you for your question!

To get a improper fraction:

times the denominator by the whole number. Then add the numerator.

5*5=25+4=29.

Final Answer:

29/5

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3 years ago

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Which trinomial is a perfect square trinomial? a2 – 18a + 36 a2 – 16a + 64 a2 – 8a + 64 a2 – 6a + 36

Komok [63]

Answer:

$a^2-16a+64$

Step-by-step explanation:

we have the options

$a^2-18a+36\\a^2-16a+64\\a^2-8a+64\\a^2-6a+36$

the one that is a perfect equare tinomial is:

$a^2-16a+64$

because we can rewrite this as follows:

$(a-8)^2$ this is because we know that

$x^2-2xy+y^2=(x-y)^2$

thus

$a^2-16a+64=(x-8)^2$

and the other options cannot be represented as a perfect square trinomial, so the correct answer is:

$a^2-16a+64$

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3 years ago

There are 45 students in the 6th grade at garden valley middle school. nine of them have freckles. what is the ratio of 6th grad

gulaghasi [49]

9 to 45 or 9:45 or 1:5. There are 9 students out of 45 students that have freckles. So there is 9 students with freckles to the total number of students which is 45. So it will be 9:45 or 1:5 if you simplify it.

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4 years ago

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