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LuckyWell [14K]

2 years ago

5

The sum of two numbers is fourteen. Using x to represent the smaller of the two numbers, translate "the sum of two more than the

larger number and twice the smaller number" into a variable expression. Then simplify.

1 answer:

mario62 [17]2 years ago

4 0

x + y = 14

(y + 2) + (2x)

But i dont know how to simplify unless that second equation is equal to something

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K=am+3mx solve for m

klemol [59]

M is equal to the value m

7 0

3 years ago

Classify the following system of equations.

zubka84 [21]

Answer:

B) consistent, dependent

Step-by-step explanation:

The given system is

45x - 30y = -90

-12x + 8y = 24

Let us make y the subject in both equations to get:

Top equation

$y = \frac{3}{2}y + 3$

Bottom equation

$y = \frac{3}{2}x + 3$

We can see that both equations are identically the same.

There is going to be infinitely many solutions.

We say the system is consistent and dependent.

The correct choice is B

4 0

3 years ago

X+9=2x-3<br> FIND THE X!!!!!!

Ierofanga [76]

Answer:

x = 12

Step-by-step explanation:

<u>To find "x"</u>, we need to <u>isolate it</u>. This means move "x" to the left side, and everything else to the right side.

When moving a number, do its <u>reverse operation</u> to the entire equation.

x + 9 = 2x - 3

x - 2x + 9 = 2x - 2x - 3 Subtract 2x from both sides

-x + 9 = -3

-x + 9 - 9 = -3 - 9 Subtract 9 from both sides

-x = -12

-x/-1 = -12/-1 Divide both sides by -1 to get rid of the negatives

x = 12 Final answer

Check your answer. Split the equation for the left and right sides. Substitute "x" for the answer "12".

LS: (left side)

x + 9

= 12 + 9 Add

= 21

RS: (right side)

2x - 3

= 2(12) - 3 Multiply before subtracting

= 24 - 3 Subtract

= 21

Both sides equal to 21 when "x" is 12.

LS = RS left side equals right side

Therefore the answer is correct.

3 0

3 years ago

PLEASE PLEASE PLEASE HELP!! Explanations on how to set it up would be great!

faltersainse [42]

Opposite sides of a parallelogram are congruent.
3x+ 2= 4x-3
Subtract 3x from both sides
2= x -3
Add 3 to both sides
5= x

2y+7=4y-9
Subtract 2y from both sides
7= 2y -9
Add 9 to both sides
16 = 2y
Divide by 2 on both sides
8 = y

8 0

3 years ago

Many people use scanners to read documents and store them into pdf file. To help determine which brand of scanner to buy, a stud

konstantin123 [22]

The data is missing in the question. The data is provided below :

Document : 1 2 3 4 5 6 7 8

Brand A 17 29 18 14 21 25 22 29

Brand B 21 38 15 19 22 30 31 37

Solution :

State of the hypothesis of the null hypothesis and alternate hypothesis.

Null hypothesis : $h_A = h_B$

Alternate hypothesis : $h_A > h_B$

These hypothesis is a one tailed test. The null hypothesis will get rejected when the mean difference between the sample means is very small.

Significance level = 0.05

Therefore the standard error is : $SE = \sqrt{(\frac{s^2_1}{n_1})+(\frac{s^2_2}{n_2})}$

= 3.602

And the degree of freedom, DF = 14

$t=\frac{(x_1-x_2)-d}{SE}$

= -1.319

Here, $s_1$ = standard deviation of the sample 1

$s_2$ = standard deviation of the sample 2

$n_1$ = size of the sample 1

$n_2$ = size of the sample 2

$x_1$ = mean of the sample 1

$x_2$ = mean of the sample 2

d = the hypothesis difference between the population mean

The observed difference in a sample means t static of -1.32. From t distribution calculator to determine P( $t \leq -1.32$ ) = 0.1042

Since the P value of 0.1042 is greater than significance level o 0.05, we therefore cannot reject the null hypothesis.

But from the test, we have no sufficient evidence that supports that Brand A is better than Brand B.

8 0

3 years ago