Solve the equation. Show your work.
1/a =6/18

Answers

Answer 1

Answer: Hey there, we cross mutliply, 1*18=6*a=18=6a, we flip the equation to 6a=18, divide both sides by 6, 6a/6=18/6. We come up with a answer of a=3

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Write in slope intercept form an equation of the line that passes through these given points (-1,-1) (1,5)

Answers

Final answer: Y=3x+2
Since you are given 2 points. You will plug the points into this formula. X2-X1/Y2-Y1. This will get you your slope. Then you will plug one of the points given and your slope into point slope form. This form is Y-Y1=m(X-X1). Then you to get your final answer you want to get Y to be by itself.

Your problem:
5-(-1)/1-(-1)
5+1/1+1
=6/2 =3
m=3

Y-(-1)=3(X-(-1))
Y+1=3(X+1)
Y+1=3X+3
Y=3X+2

Two cylindrical containers are shown. Container A has radius r and height h and holds a maximum of 42 ounces of water. Container B has radius r and height 1.5h. What is the maximum amount of water that Container B can hold?

Answers

Volume of a cylindrical container=πr²h
Container A:
πr²h=42 ounces of water.

Countainer B.
Volume of Container B=πr²(1.5 h)=1.5(πr²h)=1.5(42 ounces of water)=63 ounces of water.

Answer: the maximum amount of water that Container B can hold is 63 ounces of water.

Find the value of x in the figure below and give the reason.

Answers

Answer:

2x = 65 + 75

2x = 140

x = 140/2

x = 70

Step-by-step explanation:

Answer:

2x = 65 + 75

2x = 140

x = 140/2

x = 70

You and two friends are having dinner. The bill is $120. If you split it evenly, how much do you have to pay?

Answers

If you divide 120$ by 2 people it equals to 60$ so each person has to pay 60$

Final answer:

The question pertains to Mathematics, asking how to evenly split a bill. In this case, $120 is divided by three (you and your two friends), resulting in each person paying $40.

Explanation:

The subject of this question is Mathematics, specifically a calculation problem. You are faced with the scenario of splitting a dinner bill evenly with your friends. The bill comes to a total of $120 and you need to split it amongst three people: yourself and two friends.

To calculate this, you simply need to divide the total amount of the bill by the number of people. So, $120 divided by 3 equals $40. Thus, each person will pay $40 to cover the total cost of the meal.

In conclusion, when you divide any amount equally amongst a group of people, you are performing a mathematic operation known as division. In this question, you divide the total cost of the dinner by the number of people to find out how much each person will have to pay. In this case, each person will pay $40.

Learn more about Division here:

brainly.com/question/33969335

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An arithmetic sequence is shown below. −7,−3,1,5,9,... Which represents an explicit formula for this sequence. A f(n) = -7 +4 (n-1) B f(n) = -4 +7 (n-1) C f(n) = -4 +7 (n-1) D f(n) = -11 (n-1)

Answers

The answer of this question would be A:)

Answer:

A. f(n) = -7 +4 (n-1)

Step-by-step explanation:

$a_1=-7\,,\ a_2=-3\,,\ a_3=1\,,\ a_4=5\,,\ a_5=9...\implies d=4$

{-3-(-7)=4 and 1-(-3)=4 and 5-1=4 and 9-5=4}

An arithmetic sequence is: $a_n=a_1+(n-1)d$

$a_1=-7\quad and\quad d=4$

$a_n=-7+(n-1)\cdot4$

So:

$f(n)=-7+4(n-1)$

List all the subsets of each set:

{a,e,i, o}

Answers

$\{\}, \{a\}, \{e\}, \{i\}, \{o\}, \{a, e\}, \{a, i\}, \{a, o\}, \{e, i\}, \{e, o\}, \{i, o\}, \{a, e, i\},\n \{a, e, o\}, \{a, i, o\}, \{e, i, o\}, \{a, e, i, o\}$