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Luden [163]
3 years ago
9

What is the value of the unknown number in the verbal description? 5 times the sum of 12 and a number is 80.

Mathematics
2 answers:
S_A_V [24]3 years ago
8 0

Answer: D. 4

Step-by-step explanation:

Let the unknown number be x.

The given verbal description :  5 times the sum of 12 and a number is 80.

i.e. 5(12+x)=80

To solve the above equation, first divide 5 on both sides of the equation, we get

12+x=16

Now, Subtract 12 on the both sides of the equation, we get

x=16-12=4

Hence, the unknown number is 4.

mixer [17]3 years ago
4 0
"5 times a sum of 12 and a number is 80" translates to the next equasion:

5 x (12+a) = 80

Now we just have to solve it to find the value of a.
5 \times (12 + a) = 80 \\ 60 \times 5a = 80 \\ 5a = 80 - 60 \\ 5a = 20 \\ a = 20 \div 5 \\ a = 4
The unknown number is 4.
D is the right answer.
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Valentin [98]

Answer:

errr polynomials ahaha

so basically we can multiply the power outside of the parantheses with the exponents on the inside:

so

-3x^{2*4} y^{1*4}

this will give us:

-3x^8y^4

we also unfortunately, have to use the power on the coefficient -3 as well  and we cant just MULTIPLY -3 by 4, we are going to have to multiply -3 with -3 4 TIMES(anytime we see a coefficient we MUST multiply the coefficient by itself according to the number outside of the parantheses)

so:

-3*-3*-3*-3=81

final expression

81x^{8}y^{4}

5 0
3 years ago
Read 2 more answers
Suppose that only 25% of all drivers come to a complete stop at an intersection having flashing red lights in all directions whe
Juliette [100K]

Answer:

X \sim Binom(n=15, p=0.25)

For this case we can use the probability mass function and we got:

P(X= 5) = (15C5) (0.25)^{5} (1-0.25)^{15-5}= 0.165

Step-by-step explanation:

Previous concepts

A Bernoulli trial is "a random experiment with exactly two possible outcomes, "success" and "failure", in which the probability of success is the same every time the experiment is conducted". And this experiment is a particular case of the binomial experiment.

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

The probability mass function for the Binomial distribution is given as:  

P(X)=(nCx)(p)^x (1-p)^{n-x}  

Where (nCx) means combinatory and it's given by this formula:  

nCx=\frac{n!}{(n-x)! x!}  

Solution to the problem

Let X the random variable of interest, on this case we now that:

X \sim Binom(n=15, p=0.25)

For this case we can use the probability mass function and we got:

P(X= 5) = (15C5) (0.25)^{5} (1-0.25)^{15-5}= 0.165

5 0
3 years ago
Can anyone help me with this?
Maurinko [17]

Answer:

D. -6m²n² + 10m²n + 8mn² - 10mn

Step-by-step explanation:

(-7mn + 8mn² - 8m²n²) + (10m²n + 2m²n² - 3mn)

Apply the distributive property to remove the parentheses

-7mn + 8mn² - 8m²n² + 10m²n + 2m²n² - 3mn

Combine like terms together and arrange in standard form

-7mn + 8mn² - 8m²n² + 10m²n + 2m²n² - 3mn

-8m²n² + 2m²n² + 10m²n + 8mn² - 7mn - 3mn

-6m²n² + 10m²n + 8mn² - 10mn

5 0
3 years ago
What is the answer X/7-3&gt;8
mamaluj [8]

Answer:

x > 77

Step-by-step explanation:

According to order of operations rules, we must carry out division before addition or subtraction.  In this case we wish to isolate x and are permitted to simplify the inequality by combining the "like terms" 3 and 8, as follows:

X/7-3>8

     +3 +3

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

x/7 > 11

The easiest way in which to solve for x is to multiply both sides of this inequality by 7:

7(x/7) > 7(11), or

x > 77

All numbers greater than 77 are part of the solution set.

4 0
3 years ago
Which of the following illustrates the product rule for logarithmic equations?
Ulleksa [173]
The right answer for the question that is being asked and shown above is that: "log2(4x) = log2 (4) + log2 (x)." The equation that illustrates the product rule for logarithmic equations is that <span>log2(4x) = log2 (4) + log2 (x)</span>
8 0
3 years ago
Read 2 more answers
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