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uranmaximum [27]
3 years ago
7

Apply the distributive property and the greatest common factor to write an equivalent expression.

Mathematics
1 answer:
amid [387]3 years ago
5 0
Here, Your Original expression is 60x - 24.

Take 12 as common, which is GCD of 24 & 60, 

Therefore, It would be: 

60x - 24
= 12 * 5x - 12 * 2
= 12 (5x - 2)

In short, your Answer would be 12(5x - 2)

Hope this helps!

Photon
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Find the price of each product after a discount is applied. A game system costs 199.75 with a discount rate of 18%.
Vika [28.1K]
So if 199.75 is the cost after a 18% discount

The original price is 100%
Then the price after a 18% discount is
Tell me as a percentage
8 0
2 years ago
Read 2 more answers
2.
laiz [17]

Answer:

B) 0.02

Step-by-step explanation:

<u>Use the Binomial Theorem</u>

\displaystyle P(X=x)=\binom{n}{x}p^xq^{n-x}\\\\P(X=4)=\binom{30}{4}(0.30)^4(1-0.30)^{30-4}\\\\P(X=4)=\frac{30!}{4!(30-4)!}(0.30)^4(0.70)^{26}\\ \\P(X=4)=\frac{30!}{4!(26)!}(0.30)^4(0.70)^{26}\\ \\P(X=4)=\frac{30*29*28*27}{4*3*2*1}(0.30)^4(0.70)^{26}\\ \\P(X=4)=27405(0.30)^4(0.70)^{26}\\\\P(X=4)\approx0.0208

We have the probability of success, p=0.30, and the probability of failure, q=1-0.30=0.70. The binomial coefficient, \binom{n}{k}, represents the amount of possible combinations that k items can be chosen out of n items, with its respective formula \frac{n!}{k!(n-k)!}.

Hence, the best choice for the probability that 4 students chosen at random from the class of 30 that want the next test to be on Monday will be option B, 0.02

7 0
2 years ago
Is the following statement a good definition? Why? An integer is divisible by 100 if and only if its last two digits are zeros.
kifflom [539]
The given statement is:
An integer is divisible by 100 if and only if its last two digits are zeros

The two conditional statements that can be made are:

1) If an integer is divisible by 100 its last two digits are zeros.

This is a true statement. If a number is divisible by 100, it means 100 must be a factor of that number. When 100 will be multiplied by the remaining factors, the number will have last two digits zeros. 

2) If the last two digits of an integer are zeros, it is divisible by 100.

This is also true. If last two digits are zeros, this means 100 is a factor of the integer. So the number will be divisible by 100.

Therefore, the two conditional statements that are formed are both true.

So, the option A is the correct answer.
Yes, it is. When the definition is separated into two conditional statements, both of the statements are true
6 0
3 years ago
. Tickets to a football game cost a dollars for adults and s dollars for students. If a family of 2 adults and 3 students buy ti
garri49 [273]

Answer:

Choice C is the answer.

Known information:

a = adult $

s = student $

We have 2 adults and 3 students.

Step-by-step explanation:

To find the total price of tickets given a # of students and adults, multiply a by the # of adults and multiply s by the # of students. Therefore, it would look like this:

2a + 3s = price

Therefore, choice C is the answer.

Hope this helps!

3 0
2 years ago
Where does the normal line to the parabola y = x − x2 at the point (1, 0) intersect the parabola a second time?
Ksivusya [100]
Find the line that is normal to the parabola at the given point
remember that normal means perpendicular
perpendicular lines have slopes that multiply to -1
we can use point slope form to write the equation of the line since we are given the point (1,0)

we just need the slope

take derivitive
y'=1-2x
at x=1
y'=1-2(1)
y'=1-2
y'=-1

the slope is -1
the perpendicular of that slope is what number we can multiply to get -1
-1 times what=-1?
what=1
duh
so
point (1,0) and slope 1
y-0=1(x-1)
y=x-1 is da equation

solve for where y=x-1 and y=x-x² intersect

set equatl to each other since equal y
x-1=x-x²
x²-1=0
factor difference of 2 perfect squares
(x-1)(x+1)=0
set to zero

x-1=0
x=1
we got this point already

x+1=0
x=-1
sub back
y=-1-(-1)²
y=-1-(1)
y=-1-1
y=-2

it intersects at (-1,-2)
7 0
3 years ago
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