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Sav [38]
3 years ago
9

y = –5x + 30 x = 10 What is the solution to the system of equations? (–20, 10) (10, –20) (10, 4) (4, 10)

Mathematics
2 answers:
weqwewe [10]3 years ago
7 0

Answer:

(10, - 20 )

Step-by-step explanation:

Given the 2 equations

y = - 5x + 30 → (1)

x = 10 → (2)

Since the value of x is given substitute x = 10 into (1) for y

y = - 5(10) + 30 = - 50 + 30 = - 20

Solution is (10, - 20 )

arlik [135]3 years ago
4 0

Answer:

(10, -20)

Step-by-step explanation:

y = –5x + 30

x = 10

------

x=10 ⇒ y= -5*10+30= -20

Then solution is (10, -20)

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Marysya12 [62]

Answer: ?=ratio sorry im not good with that

Step-by-step explanation:  b=2/5, 0.4

c= ?, 0.21, 21%

d=  3/10   ?,30%

e= 1/4, ?, 0.25

3 0
3 years ago
Read 2 more answers
Two numbers add to 218. The first is 47 less than the second. What are the numbers
Firlakuza [10]
Defining variables
let n1 be the first number
n2 be the 2nd number

add them together, you get 218
n1+n2 =218

n1 is 47 less than n2
n1=n2-47

do some substitution
n2-47 +n2 = 218

solve for n2

then use n2 to figure out n1
5 0
4 years ago
What is approximately equal to<br><img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B47%7D%20" id="TexFormula1" title=" \sqrt{47} "
liq [111]

Answer:

d

Step-by-step explanation:

d

3 0
3 years ago
Can someone help me find the area
katrin2010 [14]

Answer:

84

Step-by-step explanation:

8x6=48

2x4=8

4x7=28

48+28+8=84

5 0
3 years ago
Design specifications require that a key dimension on a product measure 105 ± 12 units. A process being considered for producing
marta [7]

Answer:

Cpk = Cpu = Cpl = 0.4785

Step-by-step explanation:

Solution:-

- The capability of a process is determined using the capability index ( Cpk ). The index helps in determining the output of the process lies within the specification limits.

- The key dimension on a product measure is:

                                 105 ± 12 units

- Process is producing this product at a 6-sigma quality standards i.e ( process is producing this product has a standard deviation (σ) of three units.)

Where,         Standard Error in measured value = 12 units.

- The process capability (Cpu) is defined based on the Upper Specification Limit of the process (USL):

                             Cpu = (USL - u) / 3σ

- The process capability (Cpl) is defined based on the Lower Specification Limit of the process (LSL):

                             Cpl = ( u - LSL) / 3σ

- Assume that the process is centered with respect to specifications, then the given absolute value of u = 105 units.

Where the specification limits are defined as:

                             LSL = u - SE = 105 - 12

                             LSL = 93 units

                             USL = u + SE = 105 + 12

                             USL = 117 units

- Now evaluate the Process capability on each of the two limits specification limits:

                           Cpu = (USL - u) / 3σ

                           Cpu = (117 - 105) / 3σ

                           Cpu = 4 / σ

                           Cpl = ( u - LSL) / 3σ

                           Cpl = ( 105 - 99 ) / 3σ

                          Cpl = 4 / σ    

- The minimum of Cpu and Cpl is denoted as the Cpk value:

                           Cpk = min ( Cpu , Cpl )

                           Cpk = Cpu = Cpl = 4 / 8.36

                           Cpk = Cpu = Cpl = 4 / 8.36 = 0.4785          

               

6 0
3 years ago
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