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Hatshy [7]
3 years ago
5

They are all simplest terms

Mathematics
1 answer:
NikAS [45]3 years ago
7 0

Step-by-step explanation:

- 3(s - 10) + 7( - 2s - 1)

- 3s  + 30  - 14s - 7

- 17s + 23

is the required answer.

Distributive Property was used here.

Hope it Helps :)

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Question 4
Harman [31]

Answer:

False

Step-by-step explanation:

Given a line with slope m then the slope of a line perpendicular to it is

m_{perpendicular} = - \frac{1}{m}

Given a line with m = \frac{3}{4}

Then the slope of the line perpendicular to it is

m_{perpendicular} = - \frac{1}{\frac{3}{4} } = - \frac{4}{3}

4 0
4 years ago
Combinatorics
kompoz [17]

Answer:

235989936000

Step-by-step explanation:

To form 8 letter words from 30 letters

Using permutation :

nPr = n! ÷ (n-r)!

30P8 = 30! ÷ (30-8)!

30P8 = 30! ÷ 22!

30P8 = (30*29*28*27*26*25*24*23)

30P8 = 235989936000 words

6 0
3 years ago
Given: The ratio of the number of boys to the number of girls at Liam's school is 4:5. There are 270 students at his school. Sta
amid [387]

Answer: True

Step-by-step explanation:

Given: The ratio of the number of boys to the number of girls at Liam's school is 4:5.

There are 270 students at his school.

Then, Total boys = \dfrac{4}{4+5}\times270=\dfrac{4}{9}\times270=120

Total girls =\dfrac{5}{4+5}\times270=\dfrac{5}{9}\times270=150

Clearly, (Number of girls) > (Number of boys)

Difference =  (Total girls) - (Total boys)

= 150-120

= 30

So,  Statement 3: "There are exactly 30 more girls than boys". is absolutely true.

7 0
3 years ago
A boat traveled is 30 miles up a river in 5 hours. What was the average rate of travel, in miles per hour, of the boat
UNO [17]
6 miles per hour

30/5=6
3 0
3 years ago
1.) p^2+14p-38=0<br> what the vertex?
Lelu [443]

Answer:

vertex = (- 7, - 87)

Step-by-step explanation:

given a parabola in standard form : ax² + bx + c : a ≠ 0

Then the x- coordinate of the vertex is

x_{vertex} = - \frac{b}{2a}

p² + 14p - 38 is in standard form

with a = 1, b = 14, c = - 38, hence

x_{vertex } = - \frac{14}{2} = -7

substitute x = - 7 into the equation for corresponding value of y

y = (- 7)² + 14(- 7) - 38 = 49 - 98 - 38 - - 87

vertex = (- 7, - 87)


3 0
3 years ago
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