A stack of four hundred twenty cards is placed next to a ruler, and the height of stack is measured to be 7/8 inches. How thick is one card?

Answers

Answer 1

7/8 divided by 420 = 7/8 x 1/420 by inverting & multiplying 
= 7/3360 by multiplying tops together & bottoms together 
= 1/480 inch reducing fraction by dividing top & bottom by 7 

(and yes, I know that top is called numerator & bottom is called denominator, otherwise known as upstairs & downstairs) 

Could also work by cross-cancelling earlier, dividing 7 by 7 = 1 and dividing 420 by 7 = 60 
leaving 1 x1 on the top & 8 x 60 on the bottom. Will get same result as before, 1/480 inch.


Related Questions

How many subsets does set a have if the set a has 3 elements? 3 6 8?

Answers

Consider a set {a,b,c} 
The 8 subsets are { }, {a}, {b}, {c}, {a,b}, {a,c}, {b,c} and {a,b,c}. 
If a set has n elements, the number of subsets is 2^n.

This should help

Let's say Set A = {1,2,3}, Set A can have subsets of:

{1}, {2}, {3}, {1,2}, {1,3}, {2,3}

And so there is 6 subsets.

I have the answer but I have to show work help?
the circled is the question and the uncircled is the simplified answer, or so I'm told.

Answers

see attached picture for steps

Factor completely 3y^4 - 2y^2 - 5

Answers

3y^4 -2y^2 -5
(3y^2 -5)(y^2 +1)

Les bought 6 pairs of shorts for s dollars each and a blazer that cost three times as much as a pair of shorts.He Spent a total of $139.50.How much did the blazer cost?

Answers

Set up a system of equations.

6s+b=139.5
b=3s

Substitite for b
6s+3s=139.5
9s=139.5
s=15.5

Now multiply by 3 to get the blazer price
15.5*3= 46.5

Final answer: $46.50
6s + 3s = 139.50

s = 139.50 / 9 = $15.50

The blazer cost 3s  dollars = 3 * 15.50  =   $46.50  Answer

If f(x) = x + 8 and h(x) = 3x − 3, find a function g such that g ∘ f = h.

Answers

hello :
 If f(x) = x + 8 and h(x) = 3x − 3,
 g ∘ f = h
g ∘ (f  ∘ f ^-1) = h ∘ f ^-1  ( proprety associative)
but ; 
(f  ∘ f ^-1) = x 

g ∘ x = g
g(x) =  (h ∘ f ^-1)(x)
calculate : (f ^-1)(x)
f(x) = x +8
x= f(x) - 8
so : (f ^-1)(x) = x - 8
g(x) =  (h ∘ f ^-1)(x) = h((f ^-1)(x)) = h(x - 8) = 3(x - 8) -3
g(x) = 3x - 27



What is the approximate value of x?

Answers

The square root of 16 is 4. right next to 16 is 17, so the answer is 17

Hope this helps!

Answer:

The answer is 17.

Step-by-step explanation:

Let the number plotted be x.

The point plotted on number line is slightly more than 4.

And this number is the square root of x.

We know that [tex]\sqrt{16}[/tex] is 4.

And the given point is close to 4 or square root of 16.

So, the best possible and closest answer is 17.

The square root of 17 is 4.123.

Therefore, the answer is 17.

what's the pattern for 1,3,5,7,5,3,1,3

Answers

+2,+2,+2,-2,-2,-2,+2,+2,+2 etc

The pattern 1,3,5,7... represents odd numbers, as each number cannot be evenly divided by 2.

The correct option is (A).

The pattern 1,3,5,7... represents odd numbers. These numbers are considered odd because they cannot be evenly divided by 2. Every number in the sequence is one greater than an even number, which means adding 1 to an even number gives you an odd number. For instance, the number 1 is odd because 0 (an even number) plus 1 equals 1. Similarly, 2 (which is even) plus 1 equals 3, and so on. This pattern of numbers is used to represent all numbers that, when divided by 2, have a remainder of 1.

complete question given below:

The pattern 1,3,5,7... represents numbers.

A.odd

B.even

C.whole

The situation that is best modeled by a discrete graph is

Answers

Do you have a photo or something of the discrete graph?

62 is 112% of what number? find the base and round to the nearest hundredth

Answers

1.12x=62 , 62/1.12 = x, x = 55.36

Answer: Hello there!

if 62 is the 112% of some number, this means that if the number is x; then the 100% of this number is x, and the 112% of this number is x + 0.12*x = 1.12*x

then this means that 62 = 1.12x

now we want to find the number x:

62 = 1.12x

x= 62/1.12 = 55.35714

now we need to round it to the nearest hundredth:

the hundredth place is the second number after the decimal point, in this case, is a 5, and we want to round it; if the next number is 5 or bigger, we round up, if it is less than 5, we round down.

We can see that the next number is a 7, so we should round up; then our number x is: 55.36

Devonte used the change of base formula to approximate log8 (21). Which expression did Devonte use?

Answers

log25/log8 should be your answer

Answer:

[tex]log_8(21)=\frac{log21}{log8}[/tex]

Step-by-step explanation:

Given : Log expression [tex]log_8(21)[/tex]

To find : Write the expression using the change of base formula.

Solution :

Logarithmic change of base rule formula is

[tex]log_ab=\frac{log_eb}{log_ea}[/tex]

Now, using logarithmic rule in [tex]log_8(21)[/tex]

where a=8 and b=21

[tex]log_8(21)=\frac{log_{10}21}{log_{10}8}[/tex]

[tex]log_8(21)=\frac{log21}{log8}[/tex]

Therefore, The expression Devonte use [tex]log_8(21)=\frac{log21}{log8}[/tex]

Find the coordinates of the midpoint of the segment with the given endpoints a (5,4), b (-3,2)

Answers

The coordinates of the midpoint of the segment would be (1, 3)

A man was scuba diving to look for coral reef in the ocean. He descended at a rate of 3 meters per minute. If he continued for 10 minutes, has far below the water’s surface would he be?

Answers

3m/min×10min = 30 meters

Lavonne has 4/5 cup of blueberry muffins requires 1/3 cupof blueberrys how many batches of blueberry muffins can lovonne make

Answers

how many 1/3 cups blueberry can you get out of the 4/5 cup..

= (4/5) / (1/3)
= (4/5)*(3/1)
= 12/5
= 2 2/5 batches

Which rigid transformation does NOT result in reversed orientation of the original image?

Answers

Reflection is a type of rigid transformation which will not result in reversed orientation because this transformation that uses a line that acts like a mirror, called the line of reflection, with an image reflected in the line.Orientation is not possible here.

1.) 2x + y = 3
2.) x - 2y = -1
If equation 1 is multiplied by 2 and then the equations are added, the result is
3x = 2
3x = 5
5x = 5

Answers

5x=5
If it was any other solution, the equations would'nt make sense

5x=5 if it was any other solution, the equation woluld not make sense.

Find the probability of pulling a yellow ball out of a box if the box contains two red balls, three yellow balls, and one green ball. A. 1/4 B. 1/3 C. 1/2 D. 3/4

Answers

There are 3 yellow balls and a total og 6 balls. 3/6 is equal to 1/2(c).

Cindy is preparing for a 25-mile charity run hosted by her school's Athletic Club on their home track. In preparation for the run, Cindy has been running in 25-lap sets, recording her lap times as she goes. Cindy feels that she is very well prepared for the run. Looking at her scores, she can see that at least 75% of them are 90 seconds or better, with some as good as 82 seconds. But, she also knows that she has a couple of poor times, one as low as 102 seconds, that will make her total time a bit worse. To further analyze her lap times, Cindy would like to organize them in a box-and-whisker plot. Which of the following plots is most like what Cindy should expect to see, based on what she already knows?

Answers

From the information given it can be seen that the maximum value of the data is 102 while the minimum value is 82.

The Q1 value is 90

The box and whisker plot will have the tails of the whisker at 82 and 102, while one of the ends of the box will be at 90.
Should be A if its on edginuity the middle line should be on 90

write an equation for each line. y intercept of -2,1, x intercept of 3.5

Answers

y = -2.1 , x = 3.5 the first line will be horizontal and the other will be vertical

The camera shop wants to use the measure of central tendency that expresses how successful they are in selling camaers which measure of central tendency should they chosse

Answers

The mean would typically be the best measure of determining the success of this business. Barring the presence of any outlier values, finding the average number of cameras sold per period (week, month, year, etc.) would give a better picture than the range or mode. The median could be used, but it is a bit less descriptive than the median in this instance.



HELP PLEASE!! GIVE EXPLANATION! 15 PTS!!

What is the value of p?



10p+5=18p–62



A. –8
B. –18
C. 4
D. 8

Answers

so first, you need to separate the expression and numbers. For me, i would prefer putting the expressuon on the left hand side and numbers on the right hand side. this will make the solving more clearer and easier to solve.
10p+5=18p-62
10p-18p=-62-5
-8p =-67
p= 8.375

the answer should be
p= 8.375. but however it is not in the option.

The value of p is [tex]\frac{67}{8}[/tex], which is approximately 8.375. Therefore, the correct option is D. 8

To solve for  p  in the equation 10p + 5 = 18p - 62, we first need to isolate p on one side of the equation.

First, we'll subtract 10p from both sides to move the variable terms to one side:

10p + 5 - 10p = 18p - 62 - 10p

This simplifies to:

5 = 8p - 62

Next, we'll add 62 to both sides to isolate the term with p on one side:

5 + 62 = 8p - 62 + 62

This simplifies to:

67 = 8p

Finally, we divide both sides by 8 to solve for p:

[tex]\frac{67}{8} = p[/tex]

In conclusion, the value of p is 8.

A car is traveling at a speed of 79 feet per second. (a) what is its speed in kilometers per hour?

Answers

79 ft/s = 0.0240792 km/s

0.0240792 x 60 = 1.444752 km/minute
1.444752 x 60 = 86.68512 km/hour

Ans: 86.69 km/h

Please answer the question please

Answers

The answer to ur problem is 1/3.

Which equation could be used to solve for the length of side c, given a = 5, b = 12, and c = 72°?

Answers

c^2=a^2+b^2-2abcos(c)
c=sqrt(a^2+b^2-2abcos(c))
c=sqrt((5)^2+(12)^2-2(5)(12)cos(72))
c=sqrt(25+144-120cos(72))
c=sqrt(169-120cos(72))
c=sqrt(169-37.08)
c=sqrt(131.92)
c=11.49

Answer:

[tex]c=11.49[/tex]

Step-by-step explanation:

It is given that  a = 5, b = 12, and c = 72°, then using the cosine formula, we get

[tex]c^2=a^2+b^2-2abcosC[/tex]

[tex]c^2=(5)^2+(12)^2-2(5)(12)Cos72^{\circ}[/tex]

[tex]c^2=25+144-2(60)(0.309)[/tex]

[tex]c^2=169-37.08[/tex]

[tex]c^2=131.92[/tex]

[tex]c=\sqrt{131.92}[/tex]

[tex]c=11.49[/tex]

Therefore, the value of the length of the side c is 11.49.

A car is traveling at a speed of 75 km/h. Compute the speed of the car in m/s.
A.5.6m/s
B.12.5m/s
C.20.8m/s
D.208m/s

Answers

It would be C-20.8m/s

The right line is a translation of the left line 4 units to the right. Drag the left line and try to move it on top of the right line. Are these lines the same? What does this mean about how a line changes when you translate it?

Answers

yes they are the same.

 A line does not change when translated


 

Yes, the lines are same.

Here,

The right line is a translation of the left line 4 units to the right and Drag the left line and try to move it on top of the right line.

What is translation?

A translation is a type of transformation that takes each point in a figure and slides it the same distance in the same direction.

Clearly,

Line is not change when it translate.

So, the line are the same even though the right line is translation of the left line 4 units to the right. The function moves the line a certain distance. The line is not altered in any way so thus the lines are the same.

Hence, the lines are same.

Learn more about the translation visit:

https://brainly.in/question/16034934

#SPJ2

Find x if segment A B is perpendicular to segment C D in the figure below.

Answers

If segment AB is perpendicular to segment CD, then a right angle (90°) is formed.


7x + 27 = 90

7x = 63

x = 9

The value of the segment 'x' is 9° as ∠ABC is a right angle.

What is a right angle?

When the value of an angle is 90°, then it is called right angle.

Here, AB is perpendicular to CD.

Therefore, ∠ABC = 90°.

Again,  ∠ABC = (7x + 27)° = 90°.

Therefore, 7x + 27 = 90

⇒ 7x = 63

⇒x = 9

Learn more about a right angle here: https://brainly.com/question/17201660

#SPJ2

What is the radius of Circle C?

Answers

The distance from the center C to the point on the circle B is the radius. 
radius = length of BC = x

Triangle ABC is a right triangle. The right angle (aka 90 degree angle) is at angle B as shown by the square marker. 

Because we have a right triangle, we can use the pythagorean theorem

(leg1)^2 + (leg2)^2 = (hypotenuse)^2
(AB)^2 + (BC)^2 = (AC)^2
(22)^2 + (x)^2 = (x+14)^2
484 + x^2 = x^2 + 28x + 196
484 + x^2-x^2 = x^2 + 28x + 196-x^2
484 = 28x+196
484-196 = 28x+196-196
288 = 28x
28x = 288
28x/28 = 288/28
x = 72/7
x = 10.285714

The exact value of x, as a fraction is 72/7
Using a calculator, the approximate value of x is roughly 10.285714

So the radius is exactly 72/7 units long. 
The radius is approximately 10.285714 units long.

Final answer:

The radius of a circle in Euclidean geometry is the distance from its center to any point on the circumference, and it can be calculated by dividing the circumference by 2π. In physics, the radius is also the radius of curvature for an object's circular path, determined by position data and the Pythagorean theorem.

Explanation:

In mathematics, especially in Euclidean geometry, the radius of a circle is a fundamental concept that refers to the distance from the center of the circle to any point on its circumference.

Referring to the examples provided, one method to find the radius (r) is by understanding the relationship between the circumference of a circle (C) and its radius. In a flat, Euclidean space, the ratio C/r is a constant 2π, where π (pi) is approximately 3.14159. Therefore, if you know the circumference, you can calculate the radius by rearranging the formula to r = C/(2π).

In one of our more practical examples, the radius of curvature is used in the context of circular motion. When dealing with the path of an object in a circular trajectory, the radius of the circle also represents the radius of curvature. For instance, using position data where x = 3 m and y = 4 m, we can use the Pythagorean theorem to find the radius, r = √(3² + 4²) = 5 m.

Understanding these principles is crucial in fields such as physics, where the radius is directly related to calculating velocities and accelerations in circular motions as seen with centripetal acceleration.

Help me please I don't understand

Answers

with what
Queenbee2005

Simplify. 14+4(12−34)2 Enter your answer in the box.

Answers

14 + 8(12-34)

14 + 8(-22)
14 - 176

- 162 is your answer

hope this helps

Answer:1/4+4(1/2−3/4)^2

Step-by-step explanation Its supposed to be a fraction but when you copy and paste it won't allow it to be fraction. Answer is 1/2

A loaf of bread costs $1.79. how much would five loaf costs?

Answers

8.95, that's not including the possible tax

Answer:

8.95

Step-by-step explanation:

Because 1.79x5=8.95 You can look it up too

:)

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