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scoundrel [369]
4 years ago
6

Find such a coefficient a for the linear equation ax –y=4, so that the graph of the equation would pass through the point M (3,

5). Build the graph of this equation.
Mathematics
1 answer:
denis-greek [22]4 years ago
5 0
Use the point (3,5) as (x,y) to solve for the coefficient "a"

a(3) - (5) = 4

3a - 5 = 4
3a = 4+5
3a = 9
a = 3


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2x-8y=16 solve for x
Darya [45]

Answer:

x=8+4y

Step-by-step explanation:

Add 8y to both sides:

2x=16+8y

Divide both sides by 2:

x=8+4y

6 0
4 years ago
An N-scale model railroad caboose is 3 inches long. N scale is 169 feet to 1 foot.
hammer [34]

9514 1404 393

Answer:

  • c/3 = 169/12
  • 42 1/4 feet

Step-by-step explanation:

Since we want to know the actual number of feet, we can write the proportion with that in the numerator.

  \dfrac{\text{actual feet}}{\text{scale inches}}=\boxed{\dfrac{c}{3}=\dfrac{169}{12}}\\\\c=\dfrac{3\cdot169}{12}=42\frac{1}{4}\qquad\text{multiply by 3}

The real caboose is 42 1/4 feet long.

4 0
3 years ago
What are the cost of 1 t-shirt and 1 sweatshirt? (separate)
emmainna [20.7K]

X is t shirt is $8

Y is sweatshirt $11

2x+2y=38

3x+1y=35

We will be using the elimination process so you want even them out same value

2x+2y=38

-6x-2y=-70 ( want get rid of the y-value by increasing to other by when both add or subtract it will equal 0)

-4x=-32

Divide both -4

X=8 So 8 dollars a t-shirt so now will fill x with 8

2(8)+2y=38

16+2y=38

-16

2y=22

Divid by 2

Y = 11 so a sweatshirt is 11 dollars

You can check by fill each by the variable

7 0
3 years ago
Approximately 52% of all recent births were boys. In a simple random sample of 100 recent births, 49 were boys and 51 were girls
Leni [432]

Answer:

Option A is right

Step-by-step explanation:

Given that approximately 52% of all recent births were boys. In a simple random sample of 100 recent births, 49 were boys and 51 were girls. The most likely explanation for the difference between the observed results and the expected results in this case is

A) variability due to sampling

-- True because there is a slight difference whichmay be due to sampling fluctuations.

B) bias

False because given that 100 random births selected

C) nonsampling error

False.  There is no chance for systematic error here.

d) Confounding:  There is no confounding variable present inchild birth since each is independent of the other

e) a sampling frame that is incomplete

False because the sampling is done correctly.

8 0
3 years ago
What is 12z+42=73 solve for x
Sholpan [36]
12z+42=73  
subtract 42 from both sides.
12z=31
divide 12 on both sides to get:
z=2.58  
6 0
4 years ago
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