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bogdanovich [222]
2 years ago
9

A tank is being filled with water at a rate of 5.5 gallons per

Mathematics
2 answers:
Sonja [21]2 years ago
6 0

Arithmetic sqaure: a + (n-1) * d

<em>               </em><u><em>where "a" is the first term, "d" is the common difference</em></u>

Here given:

a = 10 gallons

d = 5.5 gallons

  • nth term: 10 + (n-1) * 5.5

<u>Solve for first 5 terms</u>:

10 + (1-1) * 5.5 = 10

10 + (2-1) * 5.5 = 15.5

10 + (3-1) * 5.5 = 21

10 + (4-1) * 5.5 = 26.5

10 + (5-1) * 5.5 = 32

first five terms: 10, 15.5, 21, 26.5, 32

irinina [24]2 years ago
6 0
  • First term=a=10
  • common difference a=5.5

General formula

  • a_n=a+(n-1)d
  • a_n=10+(n-1)5.5

So

  • a_1=10
  • a_2=10+5.5=15.5
  • a_3=10+11=21
  • a_4=10+16.5=26.5
  • a_5=10+22=32
  • a_6=10+27.5=37.5
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Nine buses hold 85 people each. If 693 people buy tickets for a trip, how many seats won’t be taken?
Greeley [361]

Answer:

72

Step-by-step explanation:

you take 85 * 9

85 = # of seats

9 = # of buses

then you get 765

next, you take 765 - 693

765 = # of seats

693 = # people who bought tickets for a trip

finally you get 72

72 = # of empty seats

4 0
2 years ago
Let f(x) = 5x – 3 and g(x) = 2x². Perform the function operation and then find the domain of the result.
MAXImum [283]

Answer:

(f+g)x= 2x²+5x-3

The domain x∈ Real number.

Step-by-step explanation:

Given that f(x) = 5x - 3 and g(x) = 2x²

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So, by using the given function

(f+g)x= (5x-3) + (2x²)= 2x²+5x-3

As the result, 2x²+5x-3, is a polynomial, so domain of the result is all the real numbers.

7 0
3 years ago
A high school has a total of 850 students. there are 60 more female students than there are make students?
Mrac [35]
Hey. Let me help you on this one.

Let's break this problem down so it's easier for us to comprehend it.

There are 850 students in the school, and the amount of female students equals to the amount of male students + sixty additional females.

Amount of students in school = 850 students

Male students = X

Female students = X+60

Let's form an equation so we can work with what we have.

X+(X+60)=850

Subtract 60 from both sides.

X+X=790

Simplify

2X=790

Divide both sides by 2.

X=395

Answer: There are 395 male students, and 455 female students.

3 0
3 years ago
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olga55 [171]

Answer:

1+2, 1+4, 2+1, 2+3, 3+2, 3+4, 4+1, 4+3, 5+6, 5+8, 6+5, 6+7, 7+8, 7+6, 8+5, 8+7

Step-by-step explanation:

To be supplementary is to be equal to 180 degrees.

3 0
3 years ago
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118 ounces. 7 × 16 + 6 = 118
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