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d1i1m1o1n [39]
3 years ago
8

John is making himself a lunch. He has three different soups to choose from, four different kinds of pop, and three different ki

nds of fruit. How many different lunches can he prepare today
Mathematics
1 answer:
wariber [46]3 years ago
7 0
For this problem, we use the Fundamental Counting Principle where it states that if an event has n possible outcome and another independent event has m outcomes then there will be nm total possible outcome. Therefore, there are 3x4x3 = 36 possible different lunch John can make.
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Solve the system using substitution and describe your steps. <br> x=y-3 <br> 2x+y=12
Veseljchak [2.6K]
First you plug in for x,

2(y-3)+y=12

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3 years ago
What is the equation of a line perpendicular to y=-2/5X-1 that passes through (2,-8)
AysviL [449]

Answer:

y=\frac{5}{2}x-13

Step-by-step explanation:

Given the equation

y=-\frac{2}{5}x-1

comparing the equation with the slope-intercept formy=mx+b

Here,

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  • b is the intercept

so the slope of the line is m = -2/5

As we know that the slope of the perpendicular line is basically the negative reciprocal of the slope of the line,

so  the slope of the perpendicular line will be: 5/2

Therefore, the point-slope form of the equation of the perpendicular line that goes through (2,-8) is:

y-y_1=m\left(x-x_1\right)

y-\left(-8\right)=\frac{5}{2}\left(x-2\right)

y+8=\frac{5}{2}\left(x-2\right)

subtract 8 from both sides

y+8-8=\frac{5}{2}\left(x-2\right)-8

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8 0
3 years ago
A man walk 1/10 meters per second how long will it take him to walk in 5 minutes.
Stolb23 [73]

1 sec=1/10 m

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4 0
3 years ago
Read 2 more answers
Plz help!!
inysia [295]
<span>1. 5564÷91
I know that 9 * 6 = 56
5564 rounds to 5600
91 rounds to 9
Since 56/9 = 6, then 5600/90 is the same as 560/9 = 60
The estimate is 60

2. </span><span>5391÷25
5391 sounds to 5400
25 is 1/4 of 100.
That means when you divide by 25, you can divide by 100 and multiply by 4.
5400/100 = 54
54 * 4 = 216
Estimate: 216

3. </span><span>explain how to estimate 498÷12
48/12 = 4
498 is little more than 480, so 498/12 is little more than 40

4. </span><span>which is the closest estimate for 2130÷ 33
A.7 B.17 C.70 D.700

2130/33
Round off the numerator and denominator to
2100/30
Reduce the fraction
210/3
Since I know that 21/3 = 7, then 210/3 = 70
Estimate: 70
</span>
8 0
3 years ago
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