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RSB [31]
3 years ago
11

Help me please..... please

Mathematics
1 answer:
Oksana_A [137]3 years ago
7 0

Answer:

general rule Un=1.8n-21

U100=1.8(100)-21=159

Step-by-step explanation:

a5=a+4d,  a5=-12

a10=a+9d,  a10=-3

-12=a+4d

-3=a+9d subtract the system of equations

-9=-5d solve for d

d=1.8

substitute d into first equation to find a

-12=a+4(1.8)

a=-19.2

un. = a + (n − 1)d

Un=-19.2+(n-1)(1.8)

Un=1.8n-21

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In a recent year, 31% of all college students were enrolled part-time. If 8.6 million college students were enrolled part-time t
Ronch [10]

Answer:

28 million college students.

Step-by-step explanation:

We can represent all college students as x. This means that all part-time college students are \frac{31}{100}x. Because all part-time college students are also equal to 8.6 million, we have 8,600,000=\frac{31}{100}x. To find the number of total college students, or x, we have to multiply by 100/31 to get rid of the fraction on the other side:

8,600,00\cdot\frac{100}{31}=x

The left side of the equation evaluates as 27,741,935.5. Because we are asked to round to the nearest million, we have to round to 28 million, which is the closest.

5 0
2 years ago
The measure of an angle is 24°. What is the measure of its supplementary angle?
umka21 [38]

Answer:

156 degree

Step-by-step explanation:

supplementary angle add up to 180 degree

180 - 24

= 156

8 0
2 years ago
Which equation matches the given points? (0, 7.6), (1, 6.2), (2, 4.8), (3, 3.4), (4,2)
Cerrena [4.2K]

The equation that matches the given points is g(x) = -1.4x + 7.6

The standard form of a linear  equation is expressed as g(x)=mx + b

  • m is the slope of the line
  • b is the y-intercept:

Using the coordinate points (3, 3.4), (4,2)

m=\frac{2-3.4}{4-3}\\m=\frac{-1.4}{1}\\m=-1.4

Substitute m = -1.4 and the coordinate (4, 2) into the formula:

2=4(-1.4)+b\\2=-5.6+b\\b=2+5.6\\b=7.6

Get the required equation:

g(x)=mx+b\\g(x)=-1.4x+7.6

Hence the equation that matches the given points is g(x) = -1.4x + 7.6

Learn more on equation of a line here; brainly.com/question/9351428

4 0
3 years ago
P=-30h+74 The variable h represents the number of hours he has spent reading, the variable p represents the number of pages left
olchik [2.2K]

Answer: Ethan will have to spend 2 hours reading if 14 pages are left to read

Step-by-step explanation:

Given the equation

P=-30h+74

where p =number of pages left to read and

h= the number of hours he has spent reading

Therefore , if Ethan has 14 pages left to read, then the number of hours Ethan will have to read will be

P=-30h+74

14= -30h + 74

30h= 74-14

30h= 60

h = 60/30

h =2 hours

Ethan will have to spend 2 hours reading if 14 pages are left to read

6 0
3 years ago
Solve the equation. <br><br> 3.9 + x = − 8
AnnZ [28]

Answer:

x= -11.9

Step-by-step explanation:

-8 - 3.9 = -11.9

-11.9+ 3.9 = -8

5 0
3 years ago
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