Answer:
Step-by-step explanation:
If the amounts earned from the sale of each item were the same, then both amounts were $2400/2 = $1200.
The number of balloons sold at $3 each was $1200/$3 = 400.
The number of banners sold at $4 each was $1200/$4 = 300.
400 balloons and 300 banners were sold.
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<em>Check</em>
Total sales was ...
$3 × 400 + $4 ×300 = $1200 +1200 = $2400 . . . answer checks OK
Answer:
Step 3: Choice D
Step 5: Choice B
Step 6: Choice A
Step 8: Choice C
(I saw in the top left corner of the picture that this is for Algebra II. I am in 8th grade, currently taking geometry, and I haven't taken Algebra II yet, but I <em>did</em> take Algebra I last year. I am 95% sure this is correct but if it isn't, the I sincerely apologize.)
Answer: Last option.
Step-by-step explanation:
The equation of the line in slope-intercept form is:

Where m is the slope and b the intersection with the y-axis.
You can observe in the graph that the line passes through the origin, then:

Choose two points of the line and calculate the slope with:

Points: (2,3) and (-2,-3)
Substitute values, then the slope is:

Substituting "m" and "b" into
, you get that the equation is:

This can be written as:

Answer:
Engineer 1
Step-by-step explanation:
Based on the information given:
P( 1 ) = 0.7
P( 2 ) = 0.3
P(A | B) is a conditional probability: the likelihood of event A occurring given that B is true.
P( E | 1 ) = 0.02
P( E | 2 ) = 0.04
Then P( E | 1 ) is the probability that an error occurs when engineer 1 does the work and P( E | 2 ) is the probability that an error occurs when engineer 2 does the work.
To have an idea of which engineer is more likely to do the work when an error occurs you need to calculate P( 1 | E ) and P( 2 | E ), The probability that engineer 1 does the work when an error occurs and the probability that engineer 2 does the work when an error occurs.
The Bayes's theorem states:

Using the notation above:

P( E ) = 0.7*0.02 + 0.3*0.04 = 0.026 /// the probability that engineer 1 does the work and an error occurs or the probability that engineer 2 does the work and an error ocurrs.

Doing the same for engineer 2:

Step-by-step explanation:
You know that the three lines are parallel.
There weren't really any specific instructions so I'd assume that we're trying to find the lines. They are all in the same thing, as shown, one is 21 and the other is 12. That means the parallel line is cutting of 9.
We can then assume 2x+2-9=x+3
Then, to solve, you can get 2x-7=x+3
X=10
Hope this helped!
I'm a bit confused, but hope this helped again!