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3 years ago

2. 3x + 2y = 22 5x – 2y = 42

Mathematics

2 answers:

hammer [34]3 years ago

6 0

Step-by-step explanation:

3x+2y=22

5x-2y=42

by adding both equation

8x. =64

x=64/8=8

substituting x in the 1st equation

we get,

3*8+2y=22

24+2y=22

2y=22-24

y=-2/2=-1

therefore,

x=8

y=-1

STALIN [3.7K]3 years ago

5 0

X is 8 and y is -1 that is the answer hope this helps

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Solve ln 2 + ln x = 5 . Round to the nearest thousandth, if necessary. show work please

Paraphin [41]

$\ln 2 + \ln x = 5\\\\\implies \ln(2x) = 5\\\\\implies 2x = e^5\\\\\implies x = \dfrac{e^5}2 = 74.207$

6 0

3 years ago

Find an equivalent ratio in 6:88

vodka [1.7K]

Answer:

12:176 or 12/176

Step-by-step explanation:

Multiply both the top and bottom by 2.

6/88. 6 x 2= 12. 88 x 2= 176

So, 6:88 = 12:176 because you multiplied both numbers by 2.

6/88 x 2/2 = 12/176

3 0

4 years ago

A company manufacturing oil seals wants to establish X and R control charts on the process. There are 25 preliminary samples of

alisha [4.7K]

Answer:

A ) i) X control chart : upper limit = 50.475, lower limit = 49.825

ii) R control chart : upper limit = 1.191, lower limit = 0

Step-by-step explanation:

A) Finding the control limits

grand sample mean = 1253.75 / 25 = 50.15

mean range = 14.08 / 25 = 0.5632

Based on X control CHART

The upper control limit ( UCL ) =

grand sample mean + A2* mean range ) = 50.15 + 0.577(0.5632) = 50.475

The lower control limit (LCL)=

grand sample mean - A2 * mean range = 50.15 - 0.577(0.5632) = 49.825

Based on R control charts

The upper limit = D4 * mean range = 2.114 * 0.5632 = 1.191

The lower control limit = D3 * mean range = 0 * 0.5632 = 0

B) estimate the process mean and standard deviation

estimated process mean = 50.15 = grand sample mean

standard deviation = mean range / d2 = 0.5632 / 2.326 = 0.2421

note d2 is obtained from control table

6 0

3 years ago

5) Find the area of a rectangle with points at (-8,5), (2,5), (2,-3) and (-8,-3).

Lady bird [3.3K]

Answer:

80 units²

Step-by-step explanation:

Given vertices of a rectangle:

A = (-8, 5)
B = (2, 5)
C = (2, -3)
D = (-8, -3)

As points A and D share the same x-coordinate, and points B and C share the same x-coordinate, the difference between the different x-coordinates is the length of the rectangle:

$\begin{aligned}\implies \textsf{Length} & = x_B-x_A\\& = 2-(-8)\\& = 2+8\\& = 10\; \sf units\end{aligned}$

As points A and B share the same y-coordinate, and points C and D share the same y-coordinate, the difference between the different y-coordinates is the width of the rectangle:

$\begin{aligned}\implies \textsf{Width} & = y_A-y_D\\& = 5-(-3)\\& = 5+3\\& = 8\; \sf units\end{aligned}$