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3 years ago

X + 2y = 5

Mathematics

2 answers:

malfutka [58]3 years ago

7 0

C.) 5 is the value of X and the value of Y is 5/2

Arada [10]3 years ago

6 0

Answer: The correct option is (a). - 5.

Step-by-step explanation: We are given to find the value of the system determinant for the following system of linear equations :

$x+2y=5,\\\\x-3y=7.$

The system determinant for the above system is written as

$\begin{vmatrix}1 & 2\\ 1 & -3\end{vmatrix}$

And, its value will be

$\begin{vmatrix}1 & 2\\ 1 & -3\end{vmatrix}=1\times (-3)-2\times 1=-3-2=-5.$

Thus, the required value is - 5.

Option (a) is CORRECT.

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2 years ago

Trevor solved the system of equations below. What mistake did he make in his work? 2x + y = 5 x − 2y = 10 y = 5 − 2x x − 2(5 − 2

Arturiano [62]

$2x+y=5 \\
x-2y=10 \\ \\
y=5-2x \\
x-2(5-2x)=10 \\
x-10+4x=10 \\
5x-10=10 \\
\boxed{5x=0} \Leftarrow \hbox{the mistake, it should be 5x=20} \\
x=0 \\ \\
2(0)+y=5 \\
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If 2x+y=5, then y=5-2x, so he substituted 5-2x correctly.
x+4x=5x, so he combined like terms correctly.
If 5x-10=10, then 5x=10+10 -> 5x=20, so he subtracted 10 from the right side instead of adding 10 to the right side.

The answer is C.

Here's the correct solution:
$2x+y=5 \\
x-2y=10 \\ \\
y=5-2x \\
x-2(5-2x)=10 \\
x-10+4x=10 \\
5x-10=10 \\
5x=10+10 \\
5x=20 \\
x=\frac{20}{5} \\
x=4 \\ \\
y=5-2x \\
y=5 - 2 \times 4 \\
y=5-8 \\
y=-3 \\ \\
(x,y)=(4,-3)$

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3 years ago

How many tens make 40 + 50

Genrish500 [490]

It would be 5 tens + 4 tens = 9 tens

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3 years ago

Among freshman at a certain university, scores on the Math SAT followed the normal curve, with an average of 550 and an SD of 10

lina2011 [118]

Answer:

a) 6.68th percentile

b) 617.5 points

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 550, \sigma = 100$