Express 8.12 as a mixed number.

Answers

Answer 1

8.12 as a mixed number is 203/25

Answer 2

Hey there!

Let's keep our goal in mind. A mixed number is a whole number and a fraction together. SInce we already have our whole number, 8, we need to make .12 a fraction.

If we look at .12, we see that that 12 is in the hundredths place. When you go to whole numbers, you have tens, hundreds, and so on. When you go to fractions, it goes tenths, hundredths and so on.

That means that since the 12 is in the hundredths, it's 12 hundredths, or 12/100.

That means our mixed number is 8 12/100

Hope this helps

Related Questions

Roger counted the kids in the cafeteria on Monday. There were 9 tables of 10 kids at the start of lunch. In the middle of lunch, 4 kids came in and sat down. How many kids were in the cafeteria then?

Answers

9*10=90+4= 94 kids total then.

94 kids is the answer

Which quadratic regression equation best fits the data set?

Answers

The 4th selection is appropriate.

_____
Desmos.com has a wonderful graphing calculator. They also have apps for Android and iOS phones and tablets. Of course, your TI-83/84 or equivalent will do this, too.

Answer:

D. [tex]y=1.87x^2-5.16x+10.54[/tex]

Step-by-step explanation:

The data set is given by,

x y

1 5.9

2 8.9

3 13.4

4 20.1

5 30.1

6 45.1

7 67.7

Using the regression calculator, we see that,

The quadratic equation that best fits the data is [tex]y=1.87x^2-5.16x+10.54[/tex] as shown below.

Thus, option D is correct.

Using the information given, select the statement that can deduce the line segments to be parallel. If there are none, then select none. please help asap

Answers

None, the last choice since the angles given only relate to one common large angle.

Answer:

option C

Step-by-step explanation:

In the figure attached, the given quadrilateral will be parallelogram if the given angles ∠7 = ∠3 and ∠8 = ∠4 ( alternate angles ) or ∠1 = ∠5 and ∠2 = ∠6 ( alternate angle )

But the given angles are ∠7 and ∠8 which represent a big angle A when combined.

Therefore, option C none will be the answer.

Prism A is similar to Prism B. The volume of Prism A is 2080 cm³.

What is the volume of Prism B?

260 cm³

520 cm³

1040 cm³

16,640 cm³

Answers

Given data:

Volume of the prism A = 2080 [tex]c m^{3} [/tex]

Let us find the ratio of the volume of prisms given in the diagram:
[tex] \frac{ V_{A}}{V_{B}} = \frac{8^{3}}{4^{3}} [/tex]
[tex] \frac{ V_{A}}{V_{B}} = 8 [/tex]

Since the condition is:
The volume of Prism A = The volume of Prism B
Therefore,
The ratio of their volumes should be 8.
[tex] \frac{ V_{A}}{V_{B}} =8 [/tex]

Since Volume of A = 2080 [tex]cm^{3} [/tex]

Plug-in the value, you would get:

[tex] \frac{2080}{8}} = V_{B}[/tex]

Ans: Volume of B = 260 [tex]cm^{3} [/tex]

The volume of prism B is [tex]\rm 260 \; cm^3[/tex] and this can be determined by taking the ratio of the volume of both the prism.

Given :

Prism A is similar to Prism B. The volume of Prism A is 2080 cm³.

To determine the volume of prism B, first determine the ratio of the volume of prism A to the volume of prism B that is:

[tex]\rm \dfrac{V_A}{V_B}=\dfrac{8^3}{4^3}[/tex]

[tex]\rm \dfrac{V_A}{V_B}=8[/tex]

Now, put the value of the volume of prism A in the above expression.

[tex]\rm \dfrac{2080}{V_B} = 8[/tex]

Divide 2080 by 8 in the above equation.

[tex]\rm V_B = \dfrac{2080}{8}[/tex]

[tex]\rm V_B = 260\;cm^3[/tex]

So, the volume of prism B is [tex]\rm 260 \; cm^3[/tex].

For more information, refer to the link given below:

https://brainly.com/question/15861918

A local magazine is offering a $2,500 grand prize to one lucky winner. $1,000 will be paid on the day of the drawing. the remaining $1,500 will be paid in three annual payments of $500 each, starting one year after the drawing. how much would this prize be worth to you if you can earn 9 percent on your money?

Answers

This problem considers simple interest formula. It is:
[tex]A=I*( 1+ \frac{r}{100} )^{n} [/tex]
Where
A= total amount after some time
I = initial amount
r = rate
n = number of years

Total prize we will receive is:
Total = $1000 + $500 after one year + $500 after two years + $500 after three years.

Now we need to calculate how much we will earn after each year:
Year 1:
[tex]A=500* (1+ \frac{9}{100})^{1} = 545[/tex]
Year 2:
[tex]A=500* (1+ \frac{9}{100})^{2} = 594,05[/tex]
Year 3:
[tex]A=500* (1+ \frac{9}{100})^{3} = 647,51[/tex]

So total amount is:
Total = $10000 + $545 + $594,05 + $647,51
Total = $2786,56

Jared is in charge production in a factory that makes lightbulbs. The factory made 2648 lightbulbs over the weekend. Jared wants to pull a sample of these bulbs for testing. Which sample would give Jared the most -accurate test readings ? —a sample consisting every 20th lightbulb- a sample consisting every 40th light bulb- a sample consisting every 50th lightbulb- a sample consisting every 100th light bulb?

Answers

A sample consisting every 20th lightbulb because the more numbers the better :D

Answer:

Step-by-step explanation:

What’s one way we can check our answer to 2x10=20

Answers

You can divide 20 by 10 and you should get 2, or do 20 divided by 2 and get 10.

2 x 10 = 20

to check:
20 ÷ 10 = 2
20 ÷ 2 = 10

Hope this helps :)

I Put 45 Points!!

Use what you have learned from this chapter to make a model boat out of a 10-cm square piece of foil. Test your model boat in a tank of water to see how many pennies it can support before sinking. Compare the performance of your boat with those of your classmates. Suggest several design improvements based on your results. Respond to at least one other students posting giving suggestions on how the model of their boat or yours could be improved to increase buoyancy.

Answers

So basically they are asking you to make a model boat out of a 10-cm square piece of foil, according to what it says in the book you have read.

Then just follow the instructions they give to you, like so:

1. Test your model boat in a tank of water to see how many pennies it can support before sinking.

Then, after you do that (theres no need to record a video or take a picture thats up to you) all you have to do is:

Talk about how the model of your boat could be improved, or made better to one of your classmates (but post it on the discussion board)

I need help!!!! Please if you get it right i will mark you brainliest!

Answers

if both are negative then it is located on the 3rd quadrant

hope this helps

An example of a point that has x < 0 and y < 0 is (-1,-1).
(-1,-1) would lie in Quadrant III (3).

So, if x < 0 and y < 0, the point (x,y) would be located in Quadrant III.

Can someone help me with this problem?

Answers

5/7, I don't know what that is as a decimal, but I hope it helps

120 / 840 which equals 0.1429 (Rounded to 4 d.p)

The area of a triangle is 36 square meters. The base is 1 meter less than the height. What is the height of the triangle?

Answers

area = 1/2 * base * height = 1/2 b h

b = h - 1 so:-

36 = 1/2 * h * (h - 1)
h(h - 1) = 72
h^2 - h - 72 = 0
(h - 9)(h + 8)

so h = 9 or -8 ( height cannot be negative so h = 9

Answer is 9 meters

someone pleaseeeeeeeeee help me!

1. Displacement vectors of 5 km north, 3 km east, 2 km south, and 3 km west combine to a total displacement of

3 km north.
13 km west.
0 km.
2 km south.

Answers

3 km north.
the east and west cancel out and the 5 north being greater than the two south leave you to only have to subtract the 2 south from the 5 north

3 km north
Just add the vectors together. Consider north to be positive, south to be negative, west to be positive, and east to be negative. Just remember to keep north/south and east/west separate from each other. So let's start with 0 north, 0 west.
Add 5 km north. So 0 + 5 = 5, giving us 5 north, 0 west.
Add 3 km east. So 0 - 3 = -3, giving us 5 north, -3 west (or 3 east).
Add 2 km south. So 5 - 2 = 3, giving us 3 north, -3 west (or 3 east)
Add 3 km west. So -3 + 3 = 0, giving us 3 north, 0 west
We can ignore the 0 west, and as a result we're 3 km north of where we originally started. So the total displacement is "3 km north"

I NEED HELP ASAP Use the Law of Detachment or the Law of Syllogism to draw a conclusion. 3. If Shauna is early for her meeting, she will gain a promotion. If Shauna wakes up early, she will be early for her meeting. Shauna wakes up early.

Answers

W = Shauna wakes up early
M = Shauna is early for her Meeting
P = Shauna gains a promotion

1. M -> P
2. W -> M
3. W
: . P

Find the dimensions of a rectangle whose perimeter is 24 feet and whose area is 27 square feet.

Answers

The Dimensions are 3ft x 9ft

Need a smart person fast!

Quadrilateral JPRA is similar to quadrilateral KDEW . PR=27 mm , DE=15 mm , and WE=25 mm .

What is AR ?

Answers

27/15=1.8 therefore x/25 must equal 1.8 so 1.8*25=45 then check work 45/25=1.8 so answer is 45.

Final answer:

To find AR in quadrilateral JPRA similar to quadrilateral KDEW, use the concept of similar triangles to determine AR = 45 mm.

Explanation:

To find AR in quadrilateral JPRA that is similar to quadrilateral KDEW, we can use the concept of similar triangles.

Calculate the scale factor between the two quadrilaterals: PR/DE = AR/WE

Substitute the known values: 27/15 = AR/25 and solve for AR which gives AR = 45 mm.

Write the expression-3x2+2y2+5xy-2y+5x2-3y2 in simplest form A how many terms are in the simplified expression? B how many terms in the simplified expression negative

Answers

If the twos mean squared...
2x^2-y^2+5xy-2y

4 terms

A) There are 3 terms in the simplified expression. B) There are 2 terms in the simplified expression that are negative.

First, let's combine the terms that are alike. We can combine the [tex]x^2[/tex] terms and the [tex]y^2[/tex] terms:

(-3 [tex]x^2[/tex] + 5 [tex]x^2[/tex] ) + (2 [tex]y^2[/tex]- 3 [tex]y^2[/tex]) + 5xy - 2y

This gives us:

2 [tex]x^2[/tex] - [tex]y^2[/tex]+ 5xy - 2y

We can then combine the xy and y terms:

2 [tex]x^2[/tex] - ( [tex]y^2[/tex]+ 2y)

This gives us:

2 [tex]x^2[/tex] - [tex]y^2[/tex]- 2y

So, the simplified expression is 2 [tex]x^2[/tex] - [tex]y^2[/tex]- 2y.

There are 3 terms in the simplified expression.

There are 2 terms in the simplified expression that are negative.

Here is a breakdown of the steps involved in simplifying the expression:

Combine the [tex]x^2[/tex] terms and the [tex]y^2[/tex] terms.

Combine the xy and y terms.

Check to make sure that there are no common factors that can be canceled.

To learn more about expression here:

https://brainly.com/question/34132400

#SPJ3

Verify the identity.

tan x plus pi divided by two = -cot x

Answers

recall that sin(π/2) = 1, and cos(π/2) = 0,

[tex]\bf \textit{Sum and Difference Identities} \\\\ sin(\alpha + \beta)=sin(\alpha)cos(\beta) + cos(\alpha)sin(\beta) \\\\ sin(\alpha - \beta)=sin(\alpha)cos(\beta)- cos(\alpha)sin(\beta) \\\\ cos(\alpha + \beta)= cos(\alpha)cos(\beta)- sin(\alpha)sin(\beta) \\\\ cos(\alpha - \beta)= cos(\alpha)cos(\beta) + sin(\alpha)sin(\beta)\\\\ -------------------------------\\\\ [/tex]

[tex]\bf tan\left(x+\frac{\pi }{2} \right)=-cot(x)\\\\ -------------------------------\\\\ tan\left(x+\frac{\pi }{2} \right)\implies \cfrac{sin\left(x+\frac{\pi }{2} \right)}{cos\left(x+\frac{\pi }{2} \right)} \\\\\\ \cfrac{sin(x)cos\left(\frac{\pi }{2} \right)+cos(x)sin\left(\frac{\pi }{2} \right)}{cos(x)cos\left(\frac{\pi }{2} \right)-sin(x)sin\left(\frac{\pi }{2} \right)}\implies \cfrac{sin(x)\cdot 0~~+~~cos(x)\cdot 1}{cos(x)\cdot 0~~-~~sin(x)\cdot 1} \\\\\\ \cfrac{cos(x)}{-sin(x)}\implies -cot(x)[/tex]

Arthur buys a zero coupon bond with a face value of $5000 for $4000. The bond has five years until it matures. How much would Arthur earn if he holds this bond to maturity?

Answers

Answer: $1,000

Explanation:

In bonds, the face value is the value of bond when it is held to maturity. Since the face of the bond is $5,000, the value of Arthur's bond when he holds it until maturity is $5,000.

To get Arthur's earnings by holding his bond until maturity, we subtract the face value to the amount he paid for the bond. Since the face value is $5,000 and he paid $4,000 for that bond, he earned $1,000 for the bond because $5,000 - $4,000 = $1,000.

Zaira spent 55 hours in 2 weeks working on a science project. she worked 32 hours the first week. Write and solve an addition equation to find the amount of time she spent working the second week.

Answers

If x is work in the 2nd week, 32 + x = 55. Subtract 32 from both sides to get x = 23.

Solve the following automotive-services problem.
Resistance = 0.1 ohm
Current = 60 amps
Voltage = ______ ?
A. 0.6
B. 6 60
C. 600

Answers

0.6 i hope this is theanswwerf 2etrjfghure

A. 0.6 is the answer

Bob is building a wooden cabin. The cabin is 303030 meters wide. He obtained a bunch of 171717 meters long wooden beams for the roof of the cabin. Naturally, he wants to place the roof beams in such an angle that each pair of opposite beams would meet exactly in the middle. What is the angle of elevation, in degrees, of the roof beams

Answers

Answer:

Step-by-step explanation:

Alright, lets get started.

Please refer the diagram I have attached.

The width of the room is 30 meters.

If two beams will be making an angle, they will half the width.

There will be a right triangle made, so using SOH CAH TOA,

[tex]cos x=\frac{adjacent}{hypotenuse}[/tex]

[tex]cos x=\frac{15}{17}[/tex]

taking cos inverse

x = [tex]cos^{-1} (\frac{15}{17} )[/tex]

x = 28.07° : Answer

Hope it will help :)

Answer:

28.07

Step-by-step explanation:

Credit to first said it

3500 calories for 6 servings of pie how many calories per serving

Answers

583.33 its just 3500 divided by 6

3500 colories divided by 6 servings of pie
3500/6
=583.33

On Monday Mrs. Wise bought 3 lbs of apples at $4 per lb. On Tuesday, apples were on sale for 20% off so she bought another 5 lbs. How much money did Mrs. Wise spend on apples on Tuesday?

Answers

[tex]0.80 \times 4 = 3.2[/tex]
find 80% (20% less) of 4

[tex]3.2 \times 5 [/tex]
multiply the reduced price by the number of lbs she bought.

In 10 minutes, the top three finishers in a hot dog eating contest consumed a total of 130 hot dogs. the winner, person a, ate 8 more hot dogs than the runner-up, person
b. person c finished a distant third, 10 hot dogs behind person
b. how many hot dogs did each person eat?

Answers

let x be how many hot dogs person b ate

therefore, person a ate x+8 hotdogs
and person c ate x-10 hotdogs

they all ate 130 hotdogs in total so
x + x + 8 + x - 10 = 130
3x -2 = 130
3x = 132
x = 44

so person b ate 44 hotdogs
person a ate 8 more so 52 hotdogs
and person c ate 10 less than person b so 34 hotdogs

Final answer:

The winner, Person A, ate 52 hot dogs, the runner-up, Person B, ate 44 hot dogs, and Person C finished third with 34 hot dogs.

Explanation:

The question involves solving a system of linear equations to find out how many hot dogs each participant in a hot dog eating contest ate. Let's assign variables to each person: A for the winner, B for the runner-up, and C for the third-place finisher. According to the problem, A ate 8 more hot dogs than B, and C ate 10 fewer hot dogs than B.

Here are the equations based on the information provided:

A = B + 8 (Person A ate 8 more than person B)C = B - 10 (Person C ate 10 less than person B)A + B + C = 130 (Together they ate 130 hot dogs)

Now we substitute the expressions for A and C in terms of B into the third equation:

(B + 8) + B + (B - 10) = 1303B - 2 = 1303B = 132B = 44Using the value of B, we find out A and C:A = 44 + 8 = 52C = 44 - 10 = 34

Therefore, Person A ate 52 hot dogs, Person B ate 44 hot dogs, and Person C ate 34 hot dogs.

Solve x2 + 10x = 24 by completing the square. Which is the solution set of the equation?

Answers

Answer:

-12 and 2

Step-by-step explanation:

[tex]x^2+10x=24\\[/tex]

[tex]x^2+2*5*x=24[/tex]

[tex]x^2+2*5*x+5^2-5^2=24[/tex]

[tex](x^2+2*5*x+5^2)-5^2=24[/tex]

Using the identity

[tex]a^2+2*a*b+b^2 = (a+b)^2[/tex]

we get

[tex](x+5)^2-5^2=24[/tex]

[tex](x+5)^2-25=24\\[/tex]

[tex](x+5)^2=24+25\\(x+5)^2=49\\(x+5)=+7 \\or (x+5)=-7\\[/tex]

Solving both of them we get

x=-12 or x=2

Continue the following pattern; describe the eighth figure in this pattern

Answers

Answer:

The Eighth Figure would be an 8 by 8 square with 64 small squares

Step-by-step explanation:

The Figures shown in the picture are following a fairly simple pattern. Each variation is adding 1 row and 1 column of squares. Variation 4 has a 4 by 4 square with 16 small square (4*4 = 16). If we continue with pattern then variation 8 will be an 8 by 8 square with 64 smaller squares inside it (8*8 = 64)

I hope this answered your question. If you have any more questions feel free to ask away at Brainly.

A company is selecting students for interviews at the career fair. The number of students selected from university A is given by f(x) = 4x + 5, where x represents the number of days of the fair. The number of students selected from university B is given by g(x) = 2x + 8. Which function best describes the total number of students selected at the career fair?
a. h(x) = (4x + 5)(2x + 8)
b. h(x) = 2x - 3
c. h(x) = -2x + 3
d. h(x) = 6x + 13

Answers

Number of students selected from University A:
f(x)=4x+5
Number of students selected from University B:
g(x)=2x+8

So total number of students selected from both universities:
h(x)= f(x)+g(x)
Put values
h(x)=4x+5+2x+8
h(x)=6x+13

Option D is correct.

Answer:

B, for plato students that is

Step-by-step explanation:

Each person in a ticket line gets either one or two tickets. You are the 51st person in line. Forty percent of the people in front of you get one ticket each, and the rest of the people in front of you get two tickets each. How many tickets will have been given out when you reach the ticket booth?

Answers

80 tickets have been given out

50*.4=20
50*.6=30
30*2=60
60+20=80

What is the slope of any line parallel to y = 4x + 17

Answers

This equation is in slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept. Also, slopes of parallel lines are the same.

In this equation, m = 4. So, the slope of any line parallel to y = 4x + 17 is 4.

Hope this helps! (:

Answer:
Slope of any line parallel to the given line is 4

Explanation:
The general form of the linear line is:
y = mx + c where m is the slope
The given line is:
y = 4x + 17
Comparing the given line with the general formula, we would find that:
slope of the line (m1) = 4

Now, for any two lines to be parallel, their slopes must be equal.
This means that:
m1 = m2
We have m1 = 4, therefore:
m2 = 4 for the two lines to be parallel.

Hope this helps :)

Find the 11th term from the end in the AP 56, 63, 70,..., 329

Answers

Given sequence:
56, 63, 70,..., 329
First find the common difference:
d=a2-a1
d=63-56
d=7
Formula:
an=a1+(n-1)d
First find the number of terms.
329=56+(n-1)7
329=56+7n-7
329=49+7n
280=7n
40=n
or
n=40
We have to find 40-11=29 th term ( 11 th term from the end)
a29= 56+(29-1)7
a29=56+(28)7
a29=56+196
a29=252

Answer: 252 is 11th term from the end.

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