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3 years ago

Which expression correctly represents the product 12(8 + 5) after applying the distributive property?

Mathematics

2 answers:

dybincka [34]3 years ago

8 0

Answer:

Step-by-step explanation:

You multiply 12 By 8, then 12 multiplied by 5.

12(8 + 5)

= 12*8 + 12*5

It is D.

jok3333 [9.3K]3 years ago

7 0

Answer:

Step-by-step explanation:

You would need to "distribute" 12.

When distributing you would get to parts, (12x8) & (12x5)

Because in the original parenthesis 8 and 5 were added you would add the new parts to get: (12x8) + (12x5)

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nick is given 450 to sepend on a vacatio. he decides to spend $5 a day the amount nick has left and the number of days are relat

omeli [17]

Answer:

m= 450 - (5*n)

Step-by-step explanation:

m is the money left

n is the days

7 0

3 years ago

!!! Help ASAP please!!!!In DEF, sin D = 24/26 What is cos E?

Georgia [21]

Answer:

Step-by-step explanation:

Cosine is the ratio of "adjacent" to "hypotenuse"

With respect to the Angle E, the adjacent side is FE and the hypotenuse (always opposite side to 90 degree angle) is DE.

We are given DE = 26, but we need FE. We will solve for FE using Pythagorean Theorem, which tells us:

leg^2 + another leg^2 = hypotenuse^2

So, we will have:

10^2 + FE^2 = 26^2

Now, we solve for FE:

$10^2 + FE^2 = 26^2\\100+FE^2=676\\FE^2=576\\FE=24$

So,

Cos(E) = adj/hyp = 24/26

Correct answer is A

7 0

3 years ago

Aman walks 10 miles In x hours. How far does he walk In one hour? Which expression represents this?

BabaBlast [244]

Answer:

Step-by-step explanation:

Hope this helps and I don't really know how to explain.

6 0

3 years ago

The probability that a student is accepted to a prestigious college is 0.3. If 5 students from the same school apply, what is th

hodyreva [135]

Answer:0.849185

Step-by-step explanation:

Binomial probability formula we will use:

$P(x)=\frac{n !}{x !(n-x) !} p^{x} q^{n-x}$

where,

$n=5$\\$\mathrm{P}$ (probability of success) $=0.3$\\q=1-p$

The computation of the probability will be :

$P(x \leq 2 ; 5,0.3)=P(x=0 ; 5,0.3)+P(x=1 ; 5,0.3)+P(x=2 ; 5,0.3)+P(x=3 ; 5,0.3)$\\$=\left[\frac{5 !}{5 !(5-0) !}(0.3)^{0}(1-0.3)^{5-0}\right]+\left[\frac{5 !}{5 !(5-1) !}(0.3)^{1}(1-0.3)^{5-1}\right]$$+\left[\frac{5 !}{5 !(5-2) !}(0.3)^{2}(1-0.3)^{5-2}\right]$$++\left[\frac{5 !}{5 !(5-3) !}(0.3)^{3}(1-0.3)^{5-3}\right]$$++\left[\frac{5 !}{5 !(5-4) !}(0.3)^{4}(1-0.3)^{5-4}\right]$\\$=0.1681+0.3601+0.3087+0.006615+0.00567$\\$\Rightarrow 0.849185$

The probability that at most 4 are accepted = 0.849185

6 0

3 years ago

three odd consecutive integers are such that 3 times the smallest is 9 more than twice the largest .find the three numbers

Sever21 [200]

Answer: 17, 19, 21

Step-by-step explanation:

Three consecutive odd numbers: x, x+2, x+4 (since odd numbers occur every other number)

Just to show you that the numbers are x, x+2, and x+4, just say x is 13 then x+2 is 15 and x+4 is 17 (3 consecutive odd numbers)

Now the second equation:

3x = 2(x+4) + 9

three times smallest number (which is x) is equal to 2 times the largest number (x+4) plus 9

Now solve

3x = 2(x+4) +9

3x = 2x + 8 + 9

3x = 2x + 17

x = 17

x+2 = 19

x+3 = 21

3 0

3 years ago