32. [Problem Solving 2] *
On Martha's 9th birthday, her mother
made a cake which had the digits 0 to 9
around the edge in red icing. Using the
guidelines below, her mother cut the
cake into 3 pieces so that the numbers
on each piece added to the same total.
Mark the cuts. What fraction of the
whole cake was the largest piece?

Answers

Answer 1

Answer:

The three pieces will have the following set of numbers

(9,6,0)  (8, 4,3), (7,5, 1,2)

Step-by-step explanation:

Given,

Martha's mother has marked the cake into 10 equal pieces starting from 0 t0 9

Now, she divided the cake in a manner that sum of digits on each of the three pieces is equal

0,1,2,3,4,5,6,7,8,9

(9,6,0)  (8, 4,3), (7,5, 1,2)

Hence the three pieces will have the following set of numbers

(9,6,0)  (8, 4,3), (7,5, 1,2)


Related Questions

Find the missing length indicated
Please help, no links

Answers

Answer:

x = 135

Step-by-step explanation:

m = length of perpendicular line to hypotenuse

81/m = m/144

m² = 81 x 144 = 11664

m =√11664 = 108

Using the Pythagorean theorem:

x² = 81² + 108² = 6561 + 11664 = 18225

x = √18225 = 135

9514 1404 393

Answer:

  x = 135

Step-by-step explanation:

Side x is the geometric mean of the hypotenuse segments it touches.

  x = √(81×(81+144)) = √81×√225 = 9×15

  x = 135

whats 2 plus 7 plus 3

Answers

Answer:

Hi, there your answer will 12

2+7+3=12

Have a nice day

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

I added it up XD Thanks for the points.


How many different 10-letter arrangements are possible using the letters in the word AUTOMOBILE?

Answers

Answer:

1,814,400

Step-by-step explanation:

the formula would be: nPr / x_1 ! x_2!....

since there are 2 O's and it is a 10-LETTER ARRANGEMENT, the equation would now be:

10P10 / 2!

10P10 would simplify down to 10! so you would have :

10! / 2!

if you simplify this above: you would get 1,814,400

Please Help. Lateena solved the equation below. Is her solution correct? Explain why or why not?
I've attached the picture for the problem.

Answers

Answer:

Not correct

Step-by-step explanation:

Given:

x² - 6x - 7 = 0

The following equation can be solved correctly by factoring Thus,

x² - x + 7x - 7 = 0

x(x - 1) +7(x - 1) = 0

(x - 1)(x + 7) = 0

(x - 1) = 0

x - 1 = 0

x - 1 + 1 = 0 + 1

x = 1

Or

(x + 7) = 0

x + 7 = 0

x + 7 - 7 = 0 - 7

x = -7

Therefore, the solution would be x = 1 or x = -7

Lateena solution is therefore NOT CORRECT because she used a wrong method.

8 times the sum of a number and 5 is 3 years the variable Y for the unknown number

Answers

Answer:

8(y+ 5) =3

Step-by-step explanation:

Angle x and 56 are complementary. What is the value of x?
149
34
56
90

Answers

Answer:

34°

Step-by-step explanation:

90-56=34°

__________

Parker Moore is single and pays into an HMO. The total cost is $8,550 annually and the employer pays 90 % of the total cost . Parker also pays 50% of the optional annual dental premium of $782. How much is deducted each week from his paycheck ?

Answers

Answer:23.96

Step-by-step explanation:

100-90=10%

10/100=0.10

0.10(8550)=855

100-50=50%

50/100=0.50

0.50(782)=391

855+391=1246

1246/52=23.96

Please help me with this

Answers

Answer:

1.) The quotient of a number and 2 = x ÷ 2

2.) A number decreased by 2 = x - 2

3.) 2 times a number = 2x

4.) 2 increased by a number = 2 + x

Step-by-step explanation:

Let's look for key words hidden in these sentences:

1.) The quotient of a number and 2 = The word quotient refers to division

2.) A number decreased by 2 = The word decreased refers to subtraction

3.) 2 times a number = the word times refers to multiplication

4.) 2 increased by a number = the word increased refers to addition

Hope this helps!

i don’t know if it’s A or B

Answers

Answer:

A

Step-by-step explanation:

this is true due to the ratio of a 30-60-90 triangle, which is 1-2-sqrt(3). The 12 corresponds to the sqrt(3), which means that the 1 corresponds to 4sqrt3 and the 2 to 8sqrt3.

:)

The answer is going to be A

In which quadrant of the coordinate plane is the point (−7,−212) located?

1. Quadrant I

2. Quadrant II

3. Quadrant III

4. Quadrant IV

Answers

Answer:

Quadrant 3

Step-by-step explanation:

Convert x^2+ (y + 8)^2= 64 to a polar equation that
expresses r in terms of theta.

Answers

The answer is r=-16sin0

Answer:

their graphed

Step-by-step explanation:

Lee's goal is to log more
than 10,000 steps each day. If
she is awake 16 hours a day,
how many steps does she need
Ito take each hour?

Answers

Answer: 625 steps per hour

Step-by-step explanation:

10,000/16=625

I need help graphing the right points so please send a picture of the graph also

In the xy-coordinate plane, the graph of the equation y = 3x2 - 12x – 36 has zeros
at x = a and x = b, where a Part A: Graph the function.

Answers

Answer:

you cant send pictures unless created on a graphing website but ill try to help. you first have to simplify y, and if you could comment a clearer equation that would be nice because your equation is confusing(cant tell if its all together

find the principle of money if intrest in 3 years with 5 percent per annum is rs 300​

Answers

Answer:

HI from Nepal

Answer:

let principal be x

interest =Rs300

time=3 years

rate=5%

To find principal use formula,

Interest=P*T*R/100

Rs300=x*3*5/100

Rs300*100=15x

Rs30000=15x

Rs30000/15=x

Rs2000=x

Step-by-step explanation:

therefore principal=Rs 2000

Write the slope intercept form of this equation 7x-5y=35

Answers

Y=-7/5x-7


Because if u solve the problem this is the answer


The height corresponding to the longest side of the triangle whose sides are 42cm,

34cm and 20cm in length is ?

plz help me urgently

Answers

Answer:

sdufbjdfjkwjhevjhvdwhdvbj tsm thank you for the points

e

Step-by-step explanation:

Answer:

ty for the points.

Step-by-step explanation:


Rick, Diane, and Lu are selling cookies, fruit cakes, and chocolate bars in a neighborhood snack sale. The number of cookie packs,
cakes, and chocolate bars sold by each person is given in the table.
A what prices did Rick, Diane, and Lu sell the eatables?
A)
$1.00 for a cookie pack, $2.50 for a fruit cake, and $1.50 for a chocolate bar
B)
$1.50 for a cookie pack, $2.50 for a fruit cake, and $1.00 for a chocolate bar
9
$1.00 for a cookie pack, $1.50 for a fruit cake, and $2.50 for a chocolate bar
D)
$1.50 for a cookie pack, $2.50 for a fruit cake, and $1.00 for a chocolate bar

Answers

Answer:

I think it's A

Step-by-step explanation:

but I do not know this clearly

Answer: The Answer is A.

I plugged the numbers into Excel.

Step-by-step explanation:

3. Find the value of x.
(2x-71

Answers

Wait is their only three answer choices? I got 40 but I’m guessing the closest one would be 36.5.

Answer:

33

Step-by-step explanation:

2x-7 = 73

2x = 73-7

2x = 66

x = 66÷2

x = 33

Therefore, the value of x is 33

An elevator has a placard stating that the maximum capacity is 1600 lb�10 passengers.​ So, 10 adult male passengers can have a mean weight of up to 1600/10=160 pounds. If the elevator is loaded with 10 adult male​ passengers, find the probability that it is overloaded because they have a mean weight greater than 160 lb.​ (Assume that weights of males are normally distributed with a mean of 166 lb and a standard deviation of 29 lb​.)
1.The probability the elevator is overloaded is?
*-Please show work to help me understand-*
2. Does this elevator appear to be​ safe?
A.Yes, there is a good chance that 10 randomly selected people will not exceed the elevator capacity.
B. No, 10 randomly selected people will never be under the weight limit.
C.Yes, 10 randomly selected people will always be under the weight limit.
D.​No, there is a good chance that 10 randomly selected people will exceed the elevator capacity.

Answers

Answer:

1. 0.7421 = 74.21% probability the elevator is overloaded.

2. D.​No, there is a good chance that 10 randomly selected people will exceed the elevator capacity.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set 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]

The Z-score 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. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Assume that weights of males are normally distributed with a mean of 166 lb and a standard deviation of 29 lb​.

This means that [tex]\mu = 166, \sigma = 29[/tex]

Sample of 10.

This means that [tex]n = 10, s = \frac{29}{\sqrt{10}}[/tex]

1.The probability the elevator is overloaded is?

Probability that the sample mean is above 160 pounds, which is 1 subtracted by the p-value of Z when X = 160. So

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

By the Central Limit Theorem

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

[tex]Z = \frac{160 - 166}{\frac{29}{\sqrt{10}}}[/tex]

[tex]Z = -0.65[/tex]

[tex]Z = -0.65[/tex] has a p-value of 0.2579.

1 - 0.2579 = 0.7421

0.7421 = 74.21% probability the elevator is overloaded.

2. Does this elevator appear to be​ safe?

High probability of the elevator being overloaded, so not safe. Correct answer is given by option D.

8x²y²-18
factorise in process​

Answers

Answer:

u

Step-by-step explanation:

8x²y²-182(4x²y²-9)2((2xy)²-3²)2(2xy-3)(2xy+3)

stay safe healthy and happy.

What is the surface area of the triangular prism? 1 5ft 3 ft 5 ft 4 ft​

Answers

Answer:

134

Step-by-step explanation:

∠AGB and ∠EGD are □ angles.

Answers

I think its vertical angles? you should show the answer options

Please help
Find the Arc Length of arc b, given the radius is 5 cm.

Answers

Answer:

Arc length= 180/360 ( 2 pi × 5cm)

180/360 (2 ×22/7×5cm)

18/36=1/2× 2×22/ 7 ×5cm

1×22/7×5cm

22/7×5cm

110/7

=15.715cm

Right Triangles

Evaluate the function requested. Write your answer as a fraction in lowest terms.

Find cos B.

a. cos B = 41/40
b. cos B - 9/41
c. cos B = 40/41
d. cos B = 9/40

Please select the best answer from the choices provided

Answers

Answer:

B. cos B = 9/41

Step-by-step explanation:

I calculated it logically

Answer:

b

Step-by-step explanation:

cos B = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{BC}{AB}[/tex] = [tex]\frac{9}{41}[/tex] → b

A survey showed that 40% of students would select the Ferris Wheel as their favorite ride in the amusement park. How many students out of 5,000 would you predict would prefer the Ferris Wheel?
Group of answer choices

2,400

3,000

2,000

1,250

Answers

Answer:

2000

Step-by-step explanation:

40/100 * 5000 = 2000

negative x plus 1 is less than 5

Answers

Answer:

-x+1 < 5

Step-by-step explanation:

Not sure what the question is?

Answer:

-x + 1 < 5

Step-by-step explanation:

negative x plus 1 is less than 5

-x + 1 < 5

-TheUnknownScientist

What is the simplified expression for -3(2x-7)+2y+ 2(x+y)?

Answers

Answer:

-4x+42+4y

Step-by-step explanation:

-3(2x-7) + 2y + 2 (x+y)

-6x+42 + 2y + 2x + 2y

Take the same coefficents and subtract or add

-6x + 2x= -4x

2y + 2y= 4y

The graph below has:

Answers

Answer:

One repetad linear

Step-by-step explanation:

A pharmaceutical sale representative gets paid $50,000 annually plus 3.5% commissions on total sales. This year he sold $420,000 in pharmaceuticals. What are his annual total earnings? someone help pls

Answers

Answer:

[tex] \frac{3.5}{100} \times 420000 = 14700commission \\ total \: earnings = 50000 + 14700 \\ = 64700[/tex]


What is the volume of a cylinder with a base area of 23 cm2 and a height of 15 cm

Answers

Answer:

V =345 cm^3

Step-by-step explanation:

The volume of a cylinder is given by

V = Bh where B is the base and h is the height

V= 23 * 15

V =345 cm^3

Answer:

345cm³

Step-by-step explanation:

AB h = 23 x15

= 345cm³

Your welcome!

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