What is 8 1/3 - 3 1/2?

Answers

Answer 1
29/6 = 4 5/6 simplified
Answer 2

Answer:

4 5/6

Step-by-step explanation:

Turn both 8 1/3 and 3 1/2 into improper fractions (just to make it less complicated).

8 1/3 = 25/3

3 1/2 = 7/2

Then, try and make the denominators the same by finding the LCD (least common denominator).

The least common denominator of 3 and 2 is 6. Multiply both the denominators (3 and 2) to get 6, multiply the numerator with it as well (I can't explain this part properly, but the fractions will somehow explain).

[tex]\frac{25*2}{3*2}[/tex] = [tex]\frac{50}{6}[/tex]

[tex]\frac{7*3}{2*3}[/tex] = [tex]\frac{21}{6}[/tex]

So, then subtract (50/6 - 21/6).

50/6 - 21/6

= 29/6 = 4 5/6

So, 8 1/3 - 3 1/2 is 4 5/6.


Related Questions

Use the points in the diagram to name the figure.

Answers

D) Line JK

<----->

JK

Hope it helps :)

2. Solve the inequality and graph the solution
V-6 ≥ 4

Answers

Answer:

V≥10

Step-by-step explanation:

V−6≥4

Add 6 to both sides.

V≥4+6

Add 4 and 6 to get 10.

V≥10

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~Hoped this helped :)

Find the area of the following triangle. Show each of the math steps that you use to find the area. Then explain how to go about finding the area of this particular triangle (explain each one of the steps that you showed with your math).
100 POINTS IF YOU ANSWER CORRECTLY AND ILL GIVE BRAINLIEST

Answers

Semi perimeter:-

[tex]\\ \rm\rightarrowtail s=\dfrac{a+b+c}{2}[/tex]

[tex]\\ \rm\rightarrowtail s=\dfrac{1.8+2.4+3}{2}[/tex]

[tex]\\ \rm\rightarrowtail s=\dfrac{7.2}{2}=3.6cm[/tex]

Apply heron s formula

Area:-

[tex]\\ \rm\rightarrowtail \sqrt{s(s-a)(s-b)(s-c)}[/tex]

[tex]\\ \rm\rightarrowtail \sqrt{3.6(3.6-1.8)(3.6-3)(3.6-2.4)}[/tex]

[tex]\\ \rm\rightarrowtail \sqrt{3.6(1.8)(0.6)(1.2)}[/tex]

[tex]\\ \rm\rightarrowtail \sqrt{4.6656}[/tex]

[tex]\\ \rm\rightarrowtail 2.16cm^2[/tex]

Answer:

[tex]\sf Area \ of \ a \ Triangle=\dfrac12bh[/tex]

(where b is the base of the triangle and h is the height)

Given:

base = 2.4 cmheight = 1.8 cm

Substitute the given values into the formula:

[tex]\sf \implies Area=\dfrac12 \cdot 2.4 \cdot 1.8[/tex]

               [tex]\sf =2.16 \ cm^2[/tex]

42 ft.
30 ft
Both triangles are similar The area of the larger triangle is about 382 ft

Answers

Answer:

just awnsering for the points sorry man

Step-by-step explanation:

What is the value of z so that -3 and 3 are both solutions of x2 + z = 25?
0 41
016
09
o 22

Answers

016 is the correct answer

Answer:

I think it is B (16)

Step-by-step explanation:

A lender estimates the closing costs on a home loan will be 3.75% of the loan amount of $120,000. the actual closing costs are listed below. closing cost charge loan origination $300 title insurance $600 attorney’s fees $1,250 appraisal $550 inspection $525 recording fees $125 escrow $2,000 evaluate the lender’s good faith estimate. a. the lender made an excellent estimate; it was equal to the actual closing costs. b. the lender made a very good estimate; it was within 0.25% of the actual closing costs. c. the lender made a fairly good estimate; it was between 0.25% and 0.5% of the actual closing costs. d. the lender made a poor estimate; it was off by more than 0.5% of the actual closing costs.

Answers

The lender’s good faith estimate is that he made a poor estimate; it was off by more than 0.5% of the actual closing costs.

What is closing cost?

All the expenduture and charges charged by a lander and other parties is called the closing cost.

A lender estimates the closing costs on a home loan will be 3.75% of the loan amount of $120,000.  Thus, the estimate closing cost is,

[tex]C_{ec}=\dfrac{3.75}{100}\times120000\\C_{ec}=4500[/tex]

The actual closing costs are listed below.  

Loan origination   $300Title insurance      $600 Attorney’s fees     $1,250 Appraisal               $550 Inspection             $525 Recording fees     $125 Escrow                  $2,000.

The total annual cost is,

[tex]C= $300 +$600 +$1,250 +$550 +$525 +$125 +$2,000\\C=4800[/tex]

Total annual cost is $300 more than the estimate closing cost. In the percentage form,

[tex]p=\dfrac{4800-4500}{4500}\times100\\p=6.66\%[/tex]

Thus, the lender’s good faith estimate is that he made a poor estimate; it was off by more than 0.5% of the actual closing costs.

Learn more about the closing cost here;

https://brainly.com/question/20108287

Answer:

Its D trust me

I got it right from the other person

What quadrilateral can you draw the has exactly one pair of parallel sides

Answers

Answer:

I belive that will be a trapazoid

Step-by-step explanation:

Both sides on the top and bottom are parallel
Please tell me if im wrong!

Answer:

Trapezium

Step-by-step explanation:

It has exactly one pair of parallel sides

Each railroad car in a train set is 6 inches in length.the railroad track is 5 feet long .how many railroad cars can fit on the track

Answers

Answer: 10 cars

Step-by-step explanation:

We know that:

A railroad car is 6 inches long and the railroad track is 5 feet long

Start by converting feet to inches. You can do that by multplying the amount of feet by 12.

5 feet x 12 = 60 inches

Now we can divide the length of the railroad track by the length of the railroad cars to see how many we can fit.

60 ÷ 6 = 10

A local band spent $2,000 to record and make 400 CDs. They sold all of their CDs and made a profit of $500. How much did they charge for each CD?

Answers

Answer:

$6.25 for each CD

Step-by-step explanation:

6.25 x 400 = 2,500

2,500 - 2,000 = 500

there is a 500 profit

What is the area of the playground shown? The edges of the playground meet at right angles, except for the edge whose length is not given. Show all work.

Answers

Answer:

520,000

Step-by-step explanation:

1400 x 200 = 280000

(400 + 800) x 400 /2 = 240000

240000 + 280000 = 520000

The area of the playground is 520000 square feet.

What is the area?

The area is the amount of area occupied by an object's flat (2-D) surface or shape.

Given that the edges of the playground meet at right angles, except for the edge whose length is not given.

And to find the area of the composite figure,

find all the areas separately.

There is a square with a side length of 400 feet.

A rectangle with dimensions 200 feet by 600 feet.

Another rectangle with dimensions 1400- 600 = 800 feet by 200 feet.

And a triangle with a base of 400 feet and a height of 400 feet.

The area of the playground = (400 x 400) + (200 x 600) + (800 x 200) + (1/2 x 400 x 400)

The area of the playground = 160000 + 280000 + 80000

The area of the playground is 520000 square feet.

Therefore, the area is 520000 square feet.

To learn more about the area;

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#SPJ7

x^2-x-42=0
Help I just need the line of symmetry

Answers

Answer:

Step-by-step explanation:

answers:      x = 7

    x = -6

let me know if you need anymore help.

mark me brainliest please.

The measure of the complement of an angle is 40 less than the measure of the supplement of the angle. Find the measure of the angle.

Answers

Step-by-step explanation:

x is the angle.

complementary angles are adding up to 90°.

supplementary angles are adding up to 180°.

so,

90 - x = (180 - x) - 40 = 140 - x

0 = 50 ? no

there is something wrong here. this cannot work out, there is no solution. there cannot be a solution.

because due to the definitions, the supplementary measure of an angle must always be 90° larger than the complementary measure of the same angle. that is by default the difference in their definition.

so, if an angle is only 40° less than the supplementary angle, then it cannot be the complementary angle.

so, either there was a mistake in the question, or this is a trick question.

under the given circumstances, there is no solution possible.

The angles X, of a tree blowing from the vertical, are distributed
according to the probability distribution shown.
What is the probability that the tree's angle, from the vertical, will
be greater than 4 degrees?
0.1
0.7
0.9
1

Answers

Using the uniform distribution, it is found that there is a 0.9 probability that the tree's angle, from the vertical, will be greater than 4 degrees.

What is the uniform probability distribution?

It is a distribution with two bounds, a and b, in which each outcome is equally as likely.

The probability of finding a value above x is:

[tex]P(X > x) = \frac{b - x}{b - a}[/tex]

In this problem, the bounds are a = 3 and b = 13, hence:

[tex]P(X > 4) = \frac{13 - 4}{13 - 3} = 0.9[/tex]

There is a 0.9 probability that the tree's angle, from the vertical, will be greater than 4 degrees.

More can be learned about the uniform distribution at https://brainly.com/question/13889040

Answer:

There is a 0.9 probability that the tree's angle, from the vertical, will be greater than 4 degrees.

Step-by-step explanation:

just took the test :D

Find the area of the rug. DO NOT ROUND.

what is the area?

Answers

Answer:

[tex]\frac{198}{7} \ \text{feet}^{2}[/tex]

Step-by-step explanation:

Given:

Diameter of rug = 6 feet

To find the area of the rug, we need to use the formula "πr² or π(D/2)²"

Where:

r = radius d = diameter

Since we do not have the radius, we need to substitute the diameter in the formula "π(D/2)²" to determine the area of the rug.

⇒ [tex]\pi (\frac{D}{2} )^{2}[/tex]

⇒ [tex]\pi (\frac{6}{2} )^{2}[/tex]

⇒ [tex]\pi (3 )^{2}[/tex]

⇒ [tex]\pi (3 )(3)[/tex]

⇒ [tex]9\pi[/tex]

Substituting "22/7" as π:

⇒ [tex]9(\frac{22}{7} )[/tex]

⇒ [tex](\frac{198}{7} )[/tex]

When finding the area of ANY shape, do not forget to include the units.

⇒ [tex]\frac{198}{7} \ \text{feet}^{2}[/tex]

Answer:

28.26 ft²

Step-by-step explanation:

Formula:

[tex]\text{Area of circular rug:} = \pi r^{2}[/tex]

Determining the radius of the circular rug:

To determine the radius, we need to divide the diameter by 2.

Given diameter: 6 feet

[tex]\implies {\dfrac{\text{Diameter}}{2} = \text{Radius}[/tex]

[tex]\implies {\dfrac{\text{6}}{2} = \text{Radius}[/tex]

[tex]\implies 3\ \text{feet} = \text{Radius}[/tex]

Replacing the radius in the formula:

[tex]\implies \text{Area of circular rug:} = \pi (3)^{2}[/tex]

Determining the area of the circular rug:

[tex]\implies \text{Area of circular rug:} = \pi (3)^{2}[/tex]

[tex]\implies \text{Area of circular rug:} = 9\pi[/tex]

Replacing π as 3.14 (Approx. measure of π):

[tex]\implies \text{Area of circular rug:} = 9(3.14)[/tex]

[tex]\implies \text{Area of circular rug:} = 28.26 \ \text{ft}^{2}[/tex]


Pierre throws a snowball up in the
air. The height of the snowball in
feet, h(x), can be represented by
h(x) = -0.5x2 + 6x + 4, where x is
the horizontal distance the snowball
travels in feet. Pierre wants to
know how far the snowball has
traveled when the height is 20
feet.

Answers

Using the given function, it is found that the snowball traveled 4 feet when the height is 20 feet.

What is the function for the ball's height?

The height when x feet are traveled is given by:

h(x) = -0.5x² + 6x + 4.

When the height is of 20 meters, we have that h(x) = 20, hence:

20 = -0.5x² + 6x + 4.

0.5x² - 6x + 16 = 0

x² - 12x + 32 = 0

(x - 8)(x - 4) = 0

For the first time: x - 4 = 0 -> x = 4.

The snowball traveled 4 feet when the height is 20 feet.

More can be learned about functions at https://brainly.com/question/25537936

Determine if the system has a solution, if so how many?

A) X-y=4 and 2x-2y=1
B)x-4y=0 and2x+4y=3
C)x-2y=1 and 4x-8y=4

PLEASE HELP DUE BY NOON

Answers

A) System doesn't have a solution.

x-y=4

2x-2y=1

x=4+y

2(4+y)-2y=1

8+2y-2y=1

8≠1

B) System has one solution.

x-4y=0

2x+4y=3

x=4y

2(4y)+4y=3

8y+4y=3

12y=3

y=1/4

C) Every solution is right for the system.

x-2y=1

4x-8y=4

x=1+2y

4(1+2y)-8y=4

4+8y-8y=4

4=4

What is the probability that the sampling error made in estimating the population mean salary of all classroom teachers by the mean salary of a sample of 64 classroom teachers will be at most​ $1000?

Answers

Using the normal distribution and the central limit theorem, it is found that there is a 0.5934 = 59.34% probability that there is an error of at most $1000.

Normal Probability Distribution

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

Researching the problem on the internet, it is found that the population has mean and standard deviation given, respectively, by [tex]\mu = 57300, \sigma = 9600[/tex].

For samples of 64, the standard error is given by:

[tex]s = \frac{9600}{\sqrt{64}} = 1200[/tex]

The probability of an error of at most $1000 is the probability of a sample mean between $56,300 and $58,300, which is the p-value of Z when X = 58300 subtracted by the p-value of Z when X = 56300, hence:

X = 58300:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem:

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{58300 - 57300}{1200}[/tex]

Z = 0.83

Z = 0.83 has a p-value of 0.7967.

X = 56300:

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{56300 - 57300}{1200}[/tex]

Z = -0.83

Z = -0.83 has a p-value of 0.2033.

0.7967 - 0.2033 = 0.5934.

0.5934 = 59.34% probability that there is an error of at most $1000.

To learn more about the normal distribution and the central limit theorem, you can check https://brainly.com/question/24663213

The car model was built on a 1:36 scale. If the length of the car is 180 inches, how many inches long is the model? ​

Answers

Answer:

the results are

a. 1,080-inch

b.  90 feet

Step-by-step explanation:

there are 4 steps to get to your resluts

Will be deleted at 3:30

Answers

Answer:

240.73 mm

Step-by-step explanation:

The hour hand is 20 mm and the minute hand is

200% of 20 mm = 2*20 mm = 40 mm long

The tip of the hour hand travels 1/12 of the circle and the tip of the minute hand travels full circle in one hour.

Find each length and their difference using circumference formula.

C = 2πr

Hour hand

1/12*(2*3.14*20) = 10.47 mm (rounded)

Minute hand

2*3.14*40 = 251.2 mm

The difference between the two above

251.2 - 10.47 = 240.73 mm

Answer:

230.38 mm

Step-by-step explanation:

The distance traveled by the tip of the hands is (part of) the circumference of the circle with radius of the lengths of the hands.

[tex]\textsf{Circumference of a circle}=\sf 2 \pi r\quad\textsf{(where r is the radius)}[/tex]

Radii

Larger circle (minute hand):  

r = 200% of 20 mm = 40 mm

Smaller circle (hour hand):

r = 20 mm

Minute Hand

The minute hand does a full rotation of the circle in one hour.

Therefore, the distance it travels in one hour is the complete circumference of a circle with radius 40 mm:

[tex]\begin{aligned} \implies \textsf{Distance minute hand travels} & = \sf 2 \pi (40)\\ & = \sf 80 \pi \: mm\end{aligned}[/tex]

Hour Hand

There are 12 numbers on a clock.

The hour hand travels from one number to the next in one hour.

Therefore, the distance it travels in one hour is 1/12th of the circumference of the circle:

[tex]\begin{aligned}\implies \sf \textsf{Distance hour hand travels} & =\left(\dfrac{1}{12}\right)2 \pi r\\ & = \sf \left(\dfrac{1}{12}\right)2 \pi (40)\\& = \sf \dfrac{20}{3}\pi \: mm \end{aligned}[/tex]

To find how much farther the tip of the minute hand moves than the tip of the hour hand, subtract the latter from the former:

[tex]\begin{aligned}\implies \textsf{distance} & = \textsf{minute hand distance}-\textsf{hour hand distance}\\& = \sf 80 \pi - \dfrac{20}{3} \pi \\& = \sf \dfrac{220}{3} \pi \\& = \sf 230.38\: mm \:(nearest\:hundredth) \end{aligned}[/tex]

Which caculation and answer show how to convert 3/12 to a decimal?

Answers

The easiest way to convert a fraction to a decimal is to divide the numerator (the top of the fraction) by the denominator (the bottom of the fraction)

3/12=0.25

Which is the BEST definition of dilation?

A. a transformation that either reduces or enlarges an object in the coordinate plane

B. a transformation that flips an object in the coordinate plane

C. a transformation that spins an object in the coordinate plane

D. a transformation that either slides or shifts an object in the coordinate plane

Answers

Answer:

A. a transformation that either reduces or enlarges an object in the coordinate plane

Step-by-step explanation:

The definition of dilation is the size of an object/shape by increasing/ decreasing its dimensions by scaling factors.

Dialtions do not flip and object, spin it, or slide it. It's dimensions are either enlarged, or reduced. Therefore, option A makes the most sense.

The polynomial x^3-kx^2+kx+2 has a factor of (x-2). What is the value of k?

Answers

[tex]\text{Let}~ f(x) = x^3-kx^2 +kx +2.\\\\\text{If}~ x-2~ \text{is a factor of}~ f(x)~ \text{then,}\\ \\f(2) =0\\\\\implies 2^3-k\cdot 2^2 +2k+2 =0\\\\\implies -4k+2k+8+2=0\\\\\implies 10-2k=0\\\\\implies 2k =10\\\\\implies k= \dfrac{10}2 = 5\\\\\\\text{Hence, the value of k is 5.}[/tex]

The total surface area of a right cylinder which has a base diameter of 10 cm and a height of 7 cm is:
388 square centimeters.
377 square centimeters.
363 square centimeters.
352 square centimeters.
391 square centimeters.

Answers

Answer:

377 square centimeters

Step-by-step explanation:

Formula: h(2×pi×radius) I know there's a second part but I'm doing this first.

First find the radius, in the problem it says a diameter of 10cm

Divide 10 by 2 to find the radius = 5

I'm going to use 3.14 as Pi

7(2×3.14×5)

7(31.4) = 219.8

Next part, solving for the 2 circles

Formula: 2×pi×radius²

2×3.14×5²

solve 5² first (5×5) = 25

2×3.14×25 is 157

add 219.8 and 157 = 376.8 round to 377

Answer: 377 square centimeters

Calculate the perimeter of the figure

Answers

Answer: 76 meters

Step-by-step explanation:

top side left blank = 18 because it is congruent to the bottom

left side blank is 4 + 4 + 4 (right side lengths added)

left side blank is 12

add all side lengths together for perimeter

12 + 18 + 4 + 8 + 4 + 8 + 4 + 18 = 76

76 meters

If fixed costs to print a certain Bible are $15,000 and
variable costs are $25 per Bible, what must be the selling
price to earn $10 per Bible if 5,000 Bibles are printed?

Answers

Answer:
$35 per bible

Explanation
15,000+25x=?
15,000+25(5,000)=?
15,000+125,000=?
140,000 - minimum price
10•5,000=?
50,000 - the additional cost for profit
125,000+50,000=?
175,000 - the price for production as a whole
175,000/5,000=?
$35 per bible
Or instead of all this work just add the $10 for profit to the $25 for production

The selling price to earn $10 per Bible if 5,000 Bibles are printed when the fixed costs per print is $15,000 and variable costs are $25 per Bible, is $38.

What is target profit?

The target profit is the profit that is expected by a manufacturer from the sale of its product.

The target profit can be established and used to determine the selling price.

When the target profit is added to the fixed cost per unit and the variable cost per unit, the resultant figure is the selling price.

Data and Calculations:

Fixed costs per print = $15,000

Number of Bibles per print = 5,000

Fixed costs per Bible = $3 ($15,000/5,000)

Variable costs per Bible = $25

Expected profit per Bible = $10

The selling price = $38

Thus, the selling price to earn $10 per Bible if 5,000 Bibles are printed when the fixed costs per print is $15,000 and variable costs are $25 per Bible, is $38.

Learn more about determining the selling price at https://brainly.com/question/1153322

Ben bought 4 pints of apple juice. he drinks 1/3 pint each day. how many days will the apple juice last ben?

Answers

Answer:

12 days

Step-by-step explanation:

given the room below describe how you would find the perimeter and area?

Answers

Perimeter is the sum of all sides. So I would find measures of each side and add them.

Area is the total space inside the room. Would divide the room into triangle at the top, rectangle in the middle and half circle in the bottom. Find areas of each of the 3 shapes and add them together.

Find the volume of the cone below.

Answers

Answer:

C. 2027.4 m^3

Step-by-step explanation:

volume = (1/3) · π · r^2 · h

volume = (1/3) · π · 8.8^2 * 25

volume = (1/3) · π · 1936

volume = (1/3) · 1936π

volume = 2027.4 m^3

what would you do to solve the system: y=x+3 and y=x^2+x-6

Answers

i think you would make both equations equal each other? so i believe your answer is x=3 but i’m not positive

Levi spends a winter day recording the temperature once every three hours for science class. At 9 am, the temperature was -14.1°F. Between 9am and noon, the temperature rose 17.8°F. Between noon and 3pm, the temperature went down 16.8°F. Between 3pm and 6pm, the temperature dropped 12.3°F. What was the temperature at 6pm?

Answers

Answer:

-25.4°F

Step-by-step explanation:

-14.1  + 17.8 = 3.7

3.7 - 16.8 = -13.1

13.1 - 12.3 = -25.4

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