Answer:
49
Step-by-step explanation:
12 hotdogs per min × 8 minutes = 96
145-96= 49
So he will have 49 hotdogs left.
Answer:
A = 6x² + 97x + 391
Step-by-step explanation:
Given that,
The length of the shop, l = (3x+23)
The width of the shop, b = (2x+17)
The expression for the area of the shop is given by :
A = lb
Put all the values,
A = (3x+23) × (2x+17)
= 6x² +51x+46x +391
= 6x² + 97x + 391
Hence, the expression for the area of the shop is equal to 6x² + 97x + 391.
Answer:
The inequality is
2 x - 6 > 6(x -2) +8
To solve the inequality we will first use distributive property with respect to multiplication over subtraction
And then bring constant on one side and variable on another side keeping the inequality maintained
2 x -6 > 6 x -12 + 8
2 x -6 > 6 x - 4
6 x - 2 x< -6+4
4 x < -2
Dividing both sides by 2
x < 
Now i will draw the graph of above function.
Using the slope concept, it is found that the maximum length of the seesaw is of 1.73 meters.
<h3>What is a slope?</h3>
The slope is given by the <u>vertical change divided by the horizontal change</u>, and it's also the tangent of the angle of depression.
In this problem:
- The vertical change is of 1 m.
- The horizontal change is the length l.
Hence:
tan(30º) = 1/l
l = 1/tan(30º)
l = 1.73.
More can be learned about the slope concept at brainly.com/question/18090623
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