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ludmilkaskok [199]
3 years ago
10

Find the slope of the line through each pair of points.

Mathematics
1 answer:
jekas [21]3 years ago
5 0

Answer:

m = 3/17

Step-by-step explanation:

M = -1y/-11c + 16y/-8x = 3/17

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There are 48 students in the 6th-grade band. If this represents 30% of the students in 6th grade, how many students are in the 6
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160

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Tom read 20 books, 12 magazines, and 18 newspaper articles last year.
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Answer: 24% of the books read are magazine

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Juan ordered 20 pizzas for a party. 45% of the pizzas have 8 slices each. The remaining 55% of the pizzas have 12 slices each. C
Mama L [17]

Total number of pizzas Juan ordered 20

Since, 45\% of pizzas have 8 slices.

Therefore, number of pizzas with 8 slices are: 45\%\times(20)

                                                                                          =\frac{45}{100} \times(20)

                                                                                          =\frac{45}{10} \times(2)

                                                                                          =\frac{90}{10}

                                                                                          =9 pizzas


Also, since, 55\% of pizzas have 12 slices.

Therefore, number of pizzas with 12 slices are: 55\%\times(20)

                                                                                          =\frac{55}{100} \times(20)

                                                                                          =\frac{55}{10} \times(2)

                                                                                          =\frac{110}{10}

                                                                                          =11 pizzas


Now, there are 9 pizzas with 8 slices and 11 pizzas with 12 slices.

Therefore, total number of slices of pizza are: =(9)(8)+(11)(12)

                                                                            =72+132

                                                                            =204 slices

5 0
3 years ago
If n lines are drawn in a plane, how many regions do they separate the plane into? induction
grandymaker [24]
Hello,

Let's assume i the number of lines,
 u(i) the number of regions:

u_0=1\\\\
u_1=2=1+1=1+u_0\\\\
u_2=4=2+u_1\\\\
u_3=7=3+u_2\\\\
u_4=11=4+u_3\\\\
u_5=16=5+u_4\\\\
...\\\\
\boxed{u_{n+1}=(n+1)+u_{n}}\\\\

u_{n+1}=(n+1)+n+(n-1)+...+1+u_0\\\\

\boxed{u_{n+1}= \dfrac{(n+1)*(n+2)}{2}+1 }
6 0
3 years ago
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