a stack of quarters is 5 mm. how many quarters are in a stack that is 5 cm tall? show the steps you took and explain your answer

Answers

Answer 1

Answer: well, scence you don't know how many quarters are in a stack of 5mm, ill give a variable answer...there's 10x as many quarters in the stack of cm than the stack of millimeters, because 5mm=1/2 cm, and 5/.5=10

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Who invented the no zero

Answers

Zero was invented independently by the Babylonians.

Janna behanihe invented it

Lines a and b are cut by transversal f. At the intersection of lines f and a, the top left angle is 96 degrees. At the intersection of lines b and f, the bottom right angle is (6 x minus 36) degrees.What must be the value of x so that lines a and b are parallel lines cut by transversal f?

10
20
22
32

Answers

Answer:

C. 22

Step-by-step explanation:

Inverse Alternate Interior Angles Theorem sttes that if two lines a and b are cut by transversal f so that the alternate interior angles are congruent, then a║b.

To prove that lines a and b are parallel, equate the measures of angles 96° and (6x-36)°:

$6x-36=96\n \n6x=96+36\n \n6x=132\n \nx=22$

Answer:

Option C.

Step-by-step explanation:

It is given that lines a and b are cut by transversal f.

If a transversal line intersect two parallel lines, then the alternate exterior angles are same.

We need to find the value of x so that lines a and b are parallel lines cut by transversal f.

So, equate both alternate exterior angles.

$6x-36=96$

Add 36 on both sides.

$6x-36+36=96+36$

$6x=132$

Divide both sides by 6.

$x=(132)/(6)$

$x=22$

The value of x is 22. Therefore, the correct option is C.

Yasmine bought 6 gallons of apple juice. After filling up 4 bottles of the same size with apple juice, she had 0.3 gallon of apple juice left.

Answers

1.425 gallons/bottle.

Further explanation

Given:

Yasmine bought 6 gallons of apple juice.
After filling up 4 bottles of the same juice, she had 0.3 gallons of apple juice left.

Question:

What is the amount of apple juice in each container (or bottle)?

The Process:

Let the amount of apple juice in each bottle as X.

The two steps for obtaining X are as follows:

Step-1: the total amount of apple juice is the initial gallon amount subtracted by the remaining gallon amount.

$\boxed{ \ 6 \ gallons - 0.3 \ gallons = 5.7 \ gallons \ }$

Step-2: the total amount of apple juice divided by the number of bottles is the amount of apple juice in each bottle.

$\boxed{ \ X = 5.7 \ gallons / 4 \ bottles = \boxed{ \ 1.425 \ gallons/bottle \ } \ }$

Let's also consider the following quick steps.

Quick steps:

$\boxed{ \ X = ((6 - 0.3) \ gallons)/(4 \ bottles) = \boxed{ \ 1.425 \ gallons/bottle \ } \ }$

Therefore, the amount of apple juice in each container (or bottle) is 1.425 gallons.

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Keyword: Yasmine bought 6 gallons of apple juice, after filling up 4 bottles, she had 0.3 gallons, what's the amount, in each bottle, subtracted by, divide, container

The size of each bottle that is filled by apple juice is $\boxed{\bf 1.425}$ .

Further explanation:

Given:

Yasmine bought $6$ gallons of apple juice.

She filled up $4$ bottles of same size.

She had $0.3$ gallon of apple juice left.

Calculation:

Consider the size of each bottle is $x$ gallons.

Total size of each bottle is $4x$ gallons.

Total amount of apple juice used in these $4$ gallons can be obtained by subtracting total amount of apple juice to remaining apple juice.

$\boxed{6-0.3=5.7}$

Therefore, total size of the $4$ bottles is $5.7\text{ gallon}$ .

Write the equation for the total size of the bottles.

$\boxed{4x=5.7}$

Now find the value of $x$ which gives the size of the bottles.

$\begin{aligned}4x&=5.7\nx&=(5.7)/(4)\nx&=1.425\end{aligned}$

Therefore, the size of each bottle that is filled by apple juice is $\boxed{\bf 1.425}$ .

Simple method:

First find the total size of bottle and then divide by $4$ .

The total size of each bottle can be obtained as follows:

$6-0.3=5.7$

The size of each bottle can be obtained as follows:

$(5.7)/(4)=1.425$

The size of each bottle that is filled by apple juice is $\boxed{\bf 1.425}$ .

Learn more:

1. Learn more about algebraic expression brainly.com/question/1600376

2. Learn more about average brainly.com/question/3959122

Answer details:

Grade: Middle school

Subject: Mathematics

Chapter: Algebraic expression

Keywords: Yasmine, apple juice, juice, 6 gallons, 0.3 gallons, filled, equally, bottles, juice, poured,1.425, liters, size, amount, equation, total size.

Caleb draws 14 dogs on each of 4 posters.He draws 18 cats on each of 6 other posters. If he draws 5 more dogs on each poster with dogs, how many dogs ad cats does he draws?

Answers

14x4=56

18x6=108

5x4=20

total = 184

my answer is 184 because you have to multipy

Least to greatest 9.354 9.012 9.1 9.157

Answers

Answer:

9.012 9.1 9.157 9.354

Step-by-step explanation:

Final answer:

To arrange the given numbers from least to greatest (9.354, 9.012, 9.1, 9.157), consider each place value starting from the left. The result would be 9.012, 9.1, 9.157, and 9.354.

Explanation:

The numbers listed in the question are in decimal format. When listing decimals from least to greatest, we look at the values place by place, starting from the left (the largest place value). Here, all the given numbers have 9 as their one place. The next place to look is the tenth place: 9.354, 9.012, 9.1 and 9.157. The smallest number in the tenth place is 0, so 9.012 is the smallest number. Next are 9.1 and 9.157. Despite having the same number in the tenth place, 9.1 has a smaller value because it lacks any numbers in the further places (hundredths and thousandths), making it the next smallest. Then comes 9.157 because the hundredth place (5) is smaller than in 9.354. Finally, 9.354 is the largest number because it has the largest number in the hundredth and thousandth places. Hence, the numbers from least to greatest are 9.012, 9.1, 9.157, and 9.354.

Learn more about Decimal Order here:

brainly.com/question/35869257

#SPJ2

Help me PLEASE!!!!!

3x = 27

x = ?

Thank you!!

Answers

We will use the INVERSE OPERATION of multiplication which is division. Lets do it:-

3x = 27
27 ÷ 3 = x
27 ÷ 3 = 9
x = 9

CHECK OUR WORK:-

3x = 27
x = 9
3 · 9 = 27
We were RIGHT!!!!!

So, x = 27.

Hope I helped ya!!! xD

x = 9 because 3 multiplied by 9 is equal to 27

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