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2 years ago

8 times the difference between a number and 6 is equal to 4 times the number.

Mathematics

1 answer:

7nadin3 [17]2 years ago

4 0

Answer:

The variable titled "the number" is A: 12.

Step-by-step explanation:

The problem is 8 * (x - 6) = 4 * x

Try the first number as x and rewrite the expression.

8 * (12 - 6) = 4 * 12

Following PEMDAS (the Order of Operations), you need to solve the problem inside the parenthesis.

12 - 6 = 6

Rewrite the problem.

8 * 6 = 4 * 12

8 times 6 is 48.

4 times 12 is 48.

The variable in the expression 8 * (x - 6) = 4 * x is 12.

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5. Solve the equation z^2 + 4z - 9 = 0 by completing the square.

Luba_88 [7]

Answer:

A. Z = 2 + N13

Step-by-step explanation:

Let's solve your equation step-by-step.

0=z2+4z−9

Step 1: Subtract z^2+4z-9 from both sides.

0−(z2+4z−9)=z2+4z−9−(z2+4z−9)

−z2−4z+9=0

For this equation: a=-1, b=-4, c=9

−1z2+−4z+9=0

Step 2: Use quadratic formula with a=-1, b=-4, c=9.

−b±√b2−4ac

−(−4)±√(−4)2−4(−1)(9)

2(−1)

4±√52

−2

z=−2−√13 or z=−2+√13

8 0

2 years ago

A system of linear equations is given by the graph. Okie what is the system shown?

SVETLANKA909090 [29]

Answer:

I think the answer is A.

Step-by-step explanation:

all of the other ones dont seem to line up with the graph.

6 0

3 years ago

Read 2 more answers

Assume that a procedure yields a binomial distribution with a trial repeated n = 5 times. Use some form of technology to find th

Digiron [165]

Answer:

$P(X = 0) = 0.0263$

$P(X = 1) = 0.1407$

$P(X = 2) = 0.3012$

$P(X = 3) = 0.3224$

$P(X = 4) = 0.1725$

$P(X = 5) = 0.0369$

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

In this problem we have that:

$n = 5, p = 0.517$

Distribution

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{5,0}.(0.517)^{0}.(0.483)^{5} = 0.0263$

$P(X = 1) = C_{5,1}.(0.517)^{1}.(0.483)^{4} = 0.1407$

$P(X = 2) = C_{5,2}.(0.517)^{2}.(0.483)^{3} = 0.3012$

$P(X = 3) = C_{5,3}.(0.517)^{3}.(0.483)^{2} = 0.3224$

$P(X = 4) = C_{5,4}.(0.517)^{4}.(0.483)^{1} = 0.1725$

$P(X = 5) = C_{5,5}.(0.517)^{5}.(0.483)^{0} = 0.0369$

6 0

3 years ago

Please help this was due today

Aleksandr [31]

Answer:

Why didn't u do it ?

Step-by-step explanation:

i know dumb question but i got points so i'm a OK if u were wondering

8 0

2 years ago

A store advertises 15% off an item that regularly sells for $300.

Ilia_Sergeevich [38]

Regular price = 300

Sale = 15%

Price after sale

= 300 - 15%(300)

= 300 - 15/100 x 300

= 300 - 15 x 3

= 300 - 45

= 255

7 0

2 years ago