What is the least common denominator of rational expressions with the given denominators? 4a^2, 6a, and 10b

Grant and seventh grade students to name their favorite flavor of ice cream. He won that three out of every eight students prefe

Vesna [10]

It would be 105 students because you would divide the 280 students into 8 and then get 35, then multiply that by 3 representing the 3/8s of the students

4 0

3 years ago

A tennis player keeps track of the number of successful first serves he makes. During the first 8 service points of a game, only

Andru [333]

Answer:

He needs 7 more consecutive successful first serves to raise his first serve percentage to 60%.

Step-by-step explanation:

After n consecutive serves, his total number of serves is going to be n+8, since he has already served 8 times. In the best case, his number of successful first serves is n+2.

His percentage of succesful first serves is the division of the number of succesful first serves divided by the total number of serves. So

$P = \frac{n+2}{n+8}$

We want $P = 0.60$ . So

$0.6 = \frac{n+2}{n+8}$

$n+2 = 0.6*(n+8)$

$n + 2 = 0.6n + 4.8$

$n - 0.6n = 4.8 - 2$

$0.4n = 2.8$

$n = \frac{2.8}{0.4}$

$n = 7$

He needs 7 more consecutive successful first serves to raise his first serve percentage to 60%.

5 0

3 years ago

F(x) = 4x - 9 <br> i need helpp

Masteriza [31]

Answer:

Step-by-step explanation:

10

5 0

3 years ago

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In a small town in the Himalayas, the average snowfall each month is 6 inches. July is the month with the lowest average snowfal

OLga [1]

The function that models the above behavior is given as:

f(x) = ACos(B(x + C)) + 6 ..... .......i

where x = 1 (that is January)

D (Average Snowfall) = 6.

Hence, the amplitude (A) is given as:
A = 6-1

= 5

<h3>What is a mathematical function?</h3>

A mathematical function is a function comprising of different variables that represent different factors or events and the relationships between them.

<h3>
During what period is there more than 10 inches of snowfall?</h3><h3 />

Recall that in a year we have 12 months. Hence, P = 12

→ P = (2π) /.B → (2π)/B = 12 → B = π/6

Taking the values of A and B and plugging them in, we ahve:

F(x) = 5 cos (π/6(x + C)) + 6................ii

This means that in July, we'll have

x = 7 and f(x) = 1

Therefore,

1 = 5cos ((π/6) (7 + C) + 6 → 5 Cos ((π/6) (7 + C) → -5cos ((π/6) (7 + C)

= -1

→ ((π/6) (7 + C) = π

→ 7 + C = 6

→ C = -1

Taking equation ii, we have

F(x) = 5cos ((π6) (x -1)) + 6

F (x) > 10

Therefore

5cos ((π/6) (x-1) + 6 > 10

→ cos ((π/6) (x-1) + 6 > 4/5

→ (π/6) (x-1) > Cos⁻¹ (4/5)

(π/6) (x-1) < 0.6435 and

(π/6) (x-1) > 5.6397

→ x < 2.23 and x > 11.77

The interpretation is that upwards of ten inches of snow fall in January, February, November, and December.

Learn more about functions at;
brainly.com/question/25638609
#SPJ1

3 0

2 years ago

Need help will give brainist

cluponka [151]

Answer:

11. x=15 , 12. x=-16, 13 x is greater than or equal to 15 , 14 x=-3 , 15 x=-3, 16 x=15/2 , 17 x is greater than is equal to -4, 18: x is greater than -11

Step-by-step explanation:

11. 4x+15=75

subtract 15

4x=60

divide

x=15

12. 2x = -32 (subtract 13 from each side)

divide

x=-16

13. multiply each side by

-3/2

x is greater than or equal to 15

14. -3x -18 + 5 = -4

isolate x

-3x=9

x=-3

15. -5x-30 +5=-10

isolate x

-5x = 15

x= -3

16. 2x + 16 = 6x - 14

isolate x

4x = 30

x= 15/2

17 isolate x

x is greater than is equal to -4

18. isolate x

x is greater than -11

4 0

3 years ago

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