Answer:
10 pastries
Step-by-step explanation:
To find how many they made in 1 hour, divide 35 by 3 1/2
35/3.5
= 10
So, he made 10 pastries in 1 hour
3(2x+1) = 7-2(x+5)
6x+3 = 7-2x-10
-3 -3
6x = 7-2x-10-3
+2x +2x
8x = -6
---- -----
8 8
x = -3/4
The values of x that makes the inequality true are all values less than -5
<h3>Inequality expressions</h3>
Given the inequalities below expressed as;
4x-1 < 6x+9
Collect the like terms
4x-6x < 9+1
-2x < 10
x <-10/2
<h3>x < -5</h3>
Hence the values of x that makes the inequality true are all values less than -5
Learn more on inequality here; brainly.com/question/24372553
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Answer: 1) The best estimate for the average cost of tuition at a 4-year institution starting in 2020 =$ 31524.31
2) The slope of regression line b=937.97 represents the rate of change of average annual cost of tuition at 4-year institutions (y) from 2003 to 2010(x). Here,average annual cost of tuition at 4-year institutions is dependent on school years .
Step-by-step explanation:
1) For the given situation we need to find linear regression equation Y=a+bX for the given situation.
Let x be the number of years starting with 2003 to 2010.
i.e. n=8
and y be the average annual cost of tuition at 4-year institutions from 2003 to 2010.
With reference to table we get

By using above values find a and b for Y=a+bX, where b is the slope of regression line.

and

∴ To find average cost of tuition at a 4-year institution starting in 2020.(as n becomes 18 for year 2020 if starts from 2003 ⇒X=18)
So, Y= 14640.85 + 937.97×18 = 31524.31
∴The best estimate for the average cost of tuition at a 4-year institution starting in 2020 = $31524.31
X < -40.5
To find this, here are the steps:
Combine like terms like so:
-4x - 49 > 113
Then, begin to isolate the variable x by adding 49 to both sides leaving you with:
-4x > 162
Then divide by negative four. Don’t forget, dividing by negatives switches the way the sign points so your final product will be:
x < -40.5
Hope this helps!