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3 years ago

Laura has 45 buttons. She gives away b buttons. Write an expression that shows the number of buttons Laura has left.

Mathematics

2 answers:

USPshnik [31]3 years ago

6 0

Giving away indicates subtraction. Therefore, the expression is 45 - b.

xenn [34]3 years ago

4 0

45 - b = number of buttons she has left

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Suppose a sample of 30 employees from the manufacturing industry showed a sample mean of $23.89 per hour. Assume a population st

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Answer:

The p-value of the test is 0.1212.

Step-by-step explanation:

A one sample z-test can be performed to determine whether the mean hourly wage differs from the reported mean of $24.57 for the goods-producing industries.

The hypothesis is defined as:

H₀: The mean hourly wage is same as the reported mean of $24.57 for the goods-producing industries, i.e. μ = $24.57.

Hₐ: The mean hourly wage differs from the reported mean of $24.57 for the goods-producing industries, i.e. μ ≠ $24.57.

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$p-value=2\times P(Z$

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4 years ago

7x + 2y =10 -7x+y=-16 Using elimination method

tatiyna

First, I would write the problem vertically because it just helps me better.

7x+2y=10
-7x+1y=-16

Then, I would add downwards.

7x+2y=10
+ -7x+1y=-16
-------------------
0x+3y=-6

Now, divide 3 from both sides.

3y=-6
--- ---
3 3

y=-2

Now, plug in -2 for y in any equation to get x.

7x+2(-2)=10

Combine like terms

7x-4=10

Add 4 to both sides

7x-4=10
+4 +4
-------------
7x=14

Divide each side by 7.

7x=14
---- ---
7 7

x=2

So your solution is
(2,-2)

To check the solution, plug in the x and y values in both equations.

7(2)+2(-2)=10
14-4=10
10=10

-7(2)-2=(-16)
-14-2=-16
-16=-16

Therefore, the solution works.
You must always plug in the x and y values into both equations to check the solution because sometimes the solution will work for one and not the other.
The solution must work to both equations in other for it to be right.

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