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lawyer [7]
2 years ago
6

Which ordered pair is a solution of the equation 4x-2y=16?

Mathematics
1 answer:
Lisa [10]2 years ago
5 0

Substitute the coordinates of points to the equation.

4x-2y=16

A.\ (-5,\ -3)\\\\4(-5)-2(-3)=16\\-20+6=16\\-14=16\ \ \ FALSE\\\\B.\ (-5,\ 3)\\\\4(-5)-2(3)=16\\-20-6=16\\-26=16\ \ \ FALSE\\\\C.\ (6,\ -4)\\\\4(6)-2(-4)=16\\24+8=16\\32=16\ \ \ \ FALSE\\\\D.\ (6,\ 4)\\\\4(6)-2(4)=16\\24-8=16\\16=16\ \ \ \ CORRECT\\\\Answer:\ \boxed{D.\ (6,\ 4)}

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A woman bought 210
artcher [175]

Answer:

Profit = 75

Step-by-step explanation:

Selling price of 3 oranges = 2

There are 210÷3 = 70 set of oranges

Selling price of 1 set (3 oranges) of orange = 2

Selling price of 70 set of oranges = 70 * 2 = 140

Cost of 210 oranges = 65

Profit = selling price - cost price

         = 140 - 65

         = 75

7 0
2 years ago
The world’s population is currently estimated at 7,125,000,000. What is this to the nearest billion? billion
Oksana_A [137]

Answer:

7,000,000,000

Step-by-step explanation:

since the closest number is less than 5 (1<5) you round down making the nearest billion 7

8 0
3 years ago
Read 2 more answers
100 PTS:Please help me now plz plz
Alex Ar [27]

Answer:

x = 12

Step-by-step explanation:

We have a right triangle with hypotenuse 10 and the height 8.  Either the one on the left or the one on the right

We can find the base using the Pythagorean theorem

a^2 + b^2 = c^2

a^2 +8^2 = 10^2

a^2  +64 = 100

Subtract 64 from each side

a^2 = 100 -64

a^2 = 36

Take the square root of each side

a = 6

Now a is 1/2 of the total base of the big triangle.  It is identical since the triangles are equal

x = 2 * a

x = 2*6 = 12

4 0
2 years ago
Read 2 more answers
Assume the random variable X is normally distributed with mean mu equals 50 and standard deviation sigma equals 7. Compute the p
drek231 [11]

Answer:

The probability that <em>X</em> is less than 42 is 0.1271.

Step-by-step explanation:

The random variable <em>X </em>follows a Normal distribution.

The mean and standard deviation are:

E (X) = <em>μ</em> = 50.

SD (X) = <em>σ</em> = 7.

A normal distribution is continuous probability distribution.

The Normal probability distribution with mean µ and standard deviation σ is given by,

f_{X}(\mu, \sigma)=\frac{1}{\sigma\sqrt{2\pi}}e^{-(x-\mu)^{2}/2\sigma^{2}};\ -\infty

To compute the probability of a Normal random variable we first standardize the raw score.

The raw scores are standardized using the formula:

z=\frac{x-\mu}{\sigma}

These standardized scores are known as <em>z</em>-scores and they follow normal distribution with mean 0 and standard deviation 1.

Compute the probability of (X < 42) as follows:

P(X

*Use a <em>z</em>-table for the probability.

Thus, the probability that <em>X</em> is less than 42 is 0.1271.

The normal curve is shown below.

6 0
3 years ago
HALPPPPP!!
Semmy [17]

Answer:

20,2,0,-4,-.0625

Step-by-step explanation

3*-4=-12

depending on which side its on you can multiply or divide by -4

K= -4

3 0
2 years ago
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