4) Henry has 52/9 ounces of dark chocolate, which he hopes to make tiny chocolategravestones with. How many gravestones can he make if one gravestone consumes 2/9of an ounce of the chocolate?

Answers

Answer 1

It is given that Henry has 52/9 ounces of chocolate.

Each gravestone requires 2/9 ounce of chocolate.

Hence the number of gravestones possible are:

\(\begin{gathered} \frac{\frac{52}{9}}{\frac{2}{9}}=\frac{52}{9}\times\frac{9}{2} \\ =\frac{52}{2} \\ =26 \end{gathered}\)

Hence 26 gravestones are possible.


Related Questions

Find the other endpoint of the line segment if one endpoint is (-3,6) and the midpoint is (-7,9), please explain how to solve it!!

Answers

as we know how to find midpoint.

the formula is = (x1 + x2/2 , y1 + y2/2 )

and the given values are one endpoint and midpoint so, just insert the given values in midpoint's formula..and u will get the value of other end point.

hope this answer helps you dear...take care and may u have a great day ahead!

if u have any doubt or dissatisfaction with the explanation...feel free to ask I will tell u more briefly.

Find the other endpoint of the line segment if one endpoint is (-3,6) and the midpoint is (-7,9), please

the property taxes on your home will go up 6% next year. Currently, you pay $2,500 . How much will you pay next year?

Answers

ANSWER:
2,650 $

Explanation

100%= 2,500
10%= 250$
1%= 25$

25$ * 6%= 150$=
150$ + 2,500$ = 2650

Show that [16 ^1/4] ^3 and (16^3)^1/4 are equivalent

Answers

i believe they are not

Select all solutions to M•M•M=729

Answers

The solution to the equation given by M * M * M = 729 is 9

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables using mathematical operations. An equation can be linear, quadratic, cubic and so on, depending on the degree of the variable.

Given the equation:

M.M.M = 729

This gives:

M * M * M = 729

M³ = 729

Taking the cube root of both sides:

∛M³ = ∛729

M = 9

The solution to the equation is 9

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please help asap (answer only if you know the question)​

please help asap (answer only if you know the question)

Answers

The Equation of bisector 5x-7y+3=0 which is a straight line.

What is bisector?

A straight line that divides an angle of a triangle in equal value.

What is perpendicular bisector?

The line that lies perpendicular to a side and goes through the midpoint of its length.

Given, coordinate H (-7,2), K (3, -4) and L (5,4)

we plot a triangle HKL with this point.

midpoint of side HK is found by (-7+3)/2 and (2-4)/2

hence, midpoint of HK is (-2,-1) is denoted by P

the perpendicular bisector of side HK means a straight line from the midpoint of HK to the point L(5,4). The bisector line PL divide the angle HLK.

so, the equation of bisector is y-y₁ = (y₂-y₁)/(x₂-x₁)[x-x₁] because the bisector line passes through the point P(-2,-1) and L(5,4)

  y-(-1) = [4-(-1)]/[5-(-2)]× [x-(-2)]

y+1 = 5/7×(x+2)

7y+7= 5x+10

5x-7y+3=0

hence, the equation of bisector is 5x-7y+3=0

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For events A and B, find the formulas for the probabilities of the following events in terms of quantities P(A), P(B), and P(AnB). (n denotes intersection, and u denotes union).a) either A or B or bothb) either A or B but not bothc) at least one of A or Bd) at most one of A or B

Answers

The formulas for the probabilities are:

a) P(A u B) = P(A) + P(B) - P(A n B)

b) P((A u B)(A n B)) = P(A) + P(B) - 2P(A n B)

c) P(A u B) = P(A) + P(B) - P(A n B)

d) P((A u B)(A n B)) = P(A) + P(B) - 2P(A n B)

a) The probability of either A or B or both happening is the probability of the union of events A and B, which is given by:

P(A u B) = P(A) + P(B) - P(A n B)

b) The probability of either A or B but not both happening is the probability of the symmetric difference of A and B, which is given by:

P((A u B)(A n B)) = P(A) + P(B) - 2P(A n B)

c) The probability of at least one of A or B happening is the probability of the union of events A and B, which is given by:

P(A u B) = P(A) + P(B) - P(A n B)

d) The probability of at most one of A or B happening is the probability of the symmetric difference of A and B, which is given by:

P((A u B)(A n B)) = P(A) + P(B) - 2P(A n B)

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How many gallons each of 25% alcohol and 10% alcohol should be mixed to obtain 15 gal of 21% alcohol?Gallons ofPure AlcoholGallons ofSolutionХy15Percent(as a decimal)25% = 0.2510% = 0.121% =How many gallons of 25% alcohol should be in the mixture? gal

Answers

Answer

11 gallons of the 25% alcohol is required for the mixture.

4 gallons of the 10% alcohol is required for the mixture.

Explanation

Let the number of gallons of 25% alcohol required be x

Let the number of gallons of 10% alcohol required be y

The total amount of gallons required is 15 gallons. In mathematical terms,

x + y = 15

The alcohol content of the 15 gallons is to be 21%.

21% of 15 gallons = 3.15 gallons

From the first statements,

Let the number of gallons of 25% alcohol required be x

Let the number of gallons of 10% alcohol required be y

25% of x gallons = 0.25x gallons

10% of y gallons = 0.10y gallons

0.25x + 0.10y = 3.15

We can then bring these two equations together to solve simultaneously

x + y = 15

0.25x + 0.10y = 3.15

Solving this simultaneously with the calculator, we obtain

x = 11 gallons

y = 4 gallons

Hope this Helps!!!

Naomi's electricity costs depend on the number of kilowatt hours she uses, as shown in the graph below. According to this graph, which expression can be used to calculate her electricity cost after using x kilowatt hours?

A. 0.06x + 40
B. 0.08x + 20
C. 0.1x + 10
D. 0.12x

Naomi's electricity costs depend on the number of kilowatt hours she uses, as shown in the graph below.

Answers

Answer:

b. 0.08x + 20

Step-by-step explanation:

its B because the price goes up $40 every 500 KW's so

40 divided by 500 = 0.08

The expression used to calculate Naomi's electricity cost after using x kilowatt hours is 0.08x+20. Therefore, option B is the correct answer.

What is an expression?

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

From the graph we have, (500, 60), (1000, 100), (1500, 140) and (2000, 180).

We know that, slope of a line is Slope=(y2-y1)/(x2-x1)

= (100-60)/500

= 40/500

= 0.08

Substitute m=0.08 and (x, y)=(500, 60) in y=mx+c, we get

60=0.08(500)+c

60=40+c

c=20

Substitute m=0.08 and c=20 in y=mx+c, we get

y=0.08x+20

The expression used to calculate Naomi's electricity cost after using x kilowatt hours is 0.08x+20. Therefore, option B is the correct answer.

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Draw the net and calculate the surface area .

Draw the net and calculate the surface area .

Answers

Hello!

surface area

= 2(4 x 2) + 2(12 x 4) + 2(12 x 2)

= 160cm²

pls help me answer question #4

pls help me answer question #4

Answers

Answer:bottom line: 13 line on right: 6 1/2 Diagonal line: 13

What is the meaning of "A formula without free variables"?

What is the meaning of "A formula without free variables"?

Answers

A formula without free variables is a formula that does not contain any variables that are not quantified.

What is a formula without free variables ?

Sentences are commonly referred to as formulas devoid of any unrestricted variables. These statements hold a truth value independent of the variable values, hence the reason.

Open formulas are frequently referred to as formulas with free variables. These are not actually declarations; instead, they are arrangements that can transform into declarations by allotting definite values to the independent variables.

Formulas without free variables are often easier to work with than formulas with free variables.

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Sofia is investing $8,000 in an account paying 5.5% interest compounded quarterly.

What will Sofia's account balance be in 7 years?

Answers

The balance after 7 years is $11726.12

How to determine the balance in 7 years?

The given parameters are:

Principal, P = 8000Interest rate, r = 5.5%Number of times compounded, n = 4Time, t = 7

The amount is calculated as:

\(A = P(1 + \frac rn)^{nt}\)

So, we have

\(A = 8000 * (1 + \frac {5.5\%}4)^{4 * 7}\)

Evaluate the expression

A = 11726.12

Hence, the balance after 7 years is $11726.12

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The length of a rectangle is thrice its breadth. Find the length and breadth if their perimeter is 120 cm.

Answers

Answer is below,

X=15

Answer=X=15

Sorry for bad quality.

Good luck !

The length of a rectangle is thrice its breadth. Find the length and breadth if their perimeter is 120

Answer:

Length=45cm Breadth=15cm

Step-by-step explanation:

Breadth=x

Hence length=3x

Perimeter=120cm

Perimeter of rectangle= 2×(l+b)

120=2×(3x+x)

120/2=4x

4x=60

x=60/4

x=15

Hence breadth comes out to be 15cm, hence length will be 3×15=45cm

Hope this helps you. Have a nice day buddy!

Wei wants to prove that the segment joining midpoints of two sides of a
triangle is parallel to the third side.

Select the appropriate rephrased statement for Wei's proof.

Wei wants to prove that the segment joining midpoints of two sides of atriangle is parallel to the third

Answers

Now we know PR∥QX , according to construction with transversal line TX.

∠PTS=∠QXS (Alternate angle)

In △PTS and △QSX

∠PTS=∠QXS (Alternate angle)

∠PST=∠QSX(vertically opposite angles)

PS=SQ(S is mid point of PQ)

△PTS≅△QSX(AAS rule)

So, TP=QX(CPCT)

As we know, TP=TR (T is midpoint)

Hence, TR=QX

Now, in quadrilateral TSQR

TS∥QR

Hence proved.

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9
Reduce to its lowest term.
36/100​

Answers

Answer:

9/25

Step-by-step explanation:

A satellite dish has cross-sections shaped like parabolas. The receiver is located 13 inches from the base along the axis of symmetry. If the satellite dish is 26 inches across at the opening, what is its depth in inches? (Round your answer to the nearest tenth if necessary.)

Answers

Answer:

Depth = 3.3 inches

Step-by-step explanation:

 Given that the shape of the satellite looks like a parabola

The equation of parabola is given as follows

\(x^2=4\times a\times y\)

Where

a= 13

Therefore

\(x^2=4\times 13\times y\)

\(x^2=52\times y\)

Lets take (13 , y) is a

Now by putting the values in the above equation we get

\(13^2=52\times y\)

\(y=\dfrac{13^2}{52}=3.25\)

y=3.25 in

Therefore the depth of the satellite at the nearest integer will be 3.3 inches.

Depth = 3.3 inches

A satellite dish has cross-sections shaped like parabolas. The receiver is located 13 inches from the

suppose that prices of a gallon of milk at various stores in one town have a mean of $3.55 with a standard deviation of $0.14 . using chebyshev's theorem, state the range in which at least 75% of the data will reside. please do not round your answers.

Answers

At least 75% of the data might very well fall between $3.25 and $3.81. According to Chebyshev's theorem, at least 75% of the value systems in a distribution are well within 2 the mean standard deviation.

A delivery has at least 89% of its values inside of three of the mean's standard deviation.

We have the following in this problem:

Mean = $3.53

$0.14 is the standard deviation.

Using Chebyshev's Theorem, determine the range that contains least 75% of the information will live.

2 standard deviations from the mean.

So 3.53 - 2*0.14 = $3.25 becomes 3.53 + 2*0.14 = $3.81.

At least 75% of the data might very well fall between $3.25 and $3.81.

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A new blood pressure medication has been manufactured and a study is being conducted to determine whether its effectiveness depends on dose. When 50 milligrams of the medication was administered to a simple random sample (SRS) of 40 patients, 12 of them demonstrated lower blood pressure. When 100 milligrams of the medication was administered to another SRS of 35 patients, 14 of them demonstrated lower blood pressure. Which of the following test statistics is an appropriate hypothesis test?​

Answers

a z-test for the proportional difference is the proper hypothesis test.

What is the deviation in proportions?

A hypothesis test can be used to find whether the deviation in proportions impacts the medication's effectivity. We may compare the secondary hypothesis—that the proportions are different—to the null hypothesis.

which states that the dimension of patients who show cut down blood pressure is the same for the two doses of the drug (50 mg and 100 mg).

Popular test statistics like the z-test can be applied to this hypothesis test and other statistical analyses.

\(z = (p1 - p2) / SE\)

where p1 and p2, for the 50 mg and 100 mg doses, respectively, are the sample proportions of patients who show fallen blood pressure, and SE is the standard error of the difference between the proportions.

the samples are assumed to be independent or dependent, impacts the SE formula. The samples in this instance are presumed to be independent because they came from various patients. Consequently, the equation for SE is:

\(SE = \sqrt(p1 \times (1 - p1)/n1 + p2 *\times(1 - p2)/n2)\)

here, the sample sizes for two doses is n1 and n2.

We can compute the z-test statistic based on the sample sizes and proportions and compare the result to a critical value or p-value to decide whether to accept or reject the null hypothesis.

Therefore, a z-test for the proportional difference is the proper hypothesis test.

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Can someone help me answer this

Can someone help me answer this

Answers

Step-by-step explanation:   \(2x^{2} +3x+5=0\\\\x=-3±\sqrt{b^{2}-4ac} /2a\\x=-3±\sqrt{3^2-4*2*5/2*2}\\\\x=-3/4 ± \sqrt{31} * (1/4*i)\\x=-3/4 + \sqrt{31} * (-1/4*i)\\\)

Answer: Using the Quadratic Formula, the answer would be x = -3/4 + \sqrt{31} * ([-]1/4*i)

What value of x would result in the numerical value of zero in the expression?
x+1+(−1)
x
+
1
+
(
-
1
)

Answers

Answer:

HINDI KO ALAM WAHAHAHAHAHAHAHA

5 times 100 times 105

Answers

Answer:

52500

Step-by-step explanation:

first do 5*105 to get 525 then mutiply by 100 to get 52500

Four out of nine dogs weigh less than 20 pounds. What is the decimal equivalent to the number of dogs weighing under 20 pounds?
A.0.49
B.0.444444
C.0.2222
D.0.24

Answers

Answer:

The answer is B. 0.4444

Step-by-step explanation:

You take 4 and divide it by 9 to get 0.4444

What is the slope of this graph?

What is the slope of this graph?

Answers

Answer:

-4

I just know Breed=different

Answer:

( -1,1) and (5 , -6) is the slope

ffewessdt whats aowpwbe be du

ffewessdt whats aowpwbe be du

Answers

Answer: I'm assuming you want our favorite so shaggy

Step-by-step explanation:

Which of the following is a false statement? *
A. Natural numbers are closed under division.
B. Integers are closed under subtraction.
C. Even numbers are closed under multiplication.
D. Real numbers are closed under addition.

Answers

Answer:B

Step-by-step explanation:

Please help Me ASAP Please

Please help Me ASAP Please

Answers

Answer:

217/31=7. He needs to run 7 miles per day.

The risk-free rate is 8%, and the expected return on the market is 16%. As an analyst, you are preparing a recommendation report on the following stock:
Stock S

Beta 0.85
Expected dividend next year $1.10
Growth rate (g) 8%
Current Price (p0) $22

Using the SML, would you recommend to buy or sell the stock?


A) Sell, because the required rate is greater than the expected rate.
B) Sell, because the expected rate is greater than the required rate.
C) Buy, because the required rate is greater than the expected rate.
D) Buy, because the expected rate is greater than the required rate.

Answers

Correct Option is,

D) Buy, because the expected rate is greater than the required rate.

Now, Based on the information you've provided,

To calculate the required rate of return, we can use the SML formula as;

Required rate of return = risk-free rate + beta x (expected market return - risk-free rate)

Plugging in the numbers, we get:

Required rate of return = 8% + 0.85 x (16% - 8%)

                                   = 14.6%

Since the expected rate of return for Stock S is,

= dividend yield + growth rate

= (1.1 / 22 + 8%),

= 9.4%

which is higher than the required rate of return of 14.6%,

Here, the stock is undervalued and would be a good buy.

Therefore, the answer is, option D) Buy, because the expected rate is greater than the required rate.

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lve for m.
-3 + m

9 = 10
A.
-30
B.
63
C.
87
D.
93

Answers

The value of m that satisfies the equation -3 + m = 9 is m = 12.

To solve the equation -3 + m = 9, we can isolate the variable m by moving the constant term -3 to the other side of the equation.

-3 + m = 9

To move -3 to the other side, we can add 3 to both sides of the equation:

-3 + 3 + m = 9 + 3

Simplifying, we have:

m = 12

Therefore, the value of m that satisfies the equation -3 + m = 9 is m = 12.

None of the provided answer options (A, B, C, D) match the correct solution.

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Shelly borrowed $20 from her dad to buy a new CD player. She has paid back $17. Which equation could be used to find x, the amount she still owes her dad?

17 - x = 20

17 - 20 = x

x + 17 = 20

x + 20 - 17

Answers

Answer:

Explain in your own words how to find the prime factorization of a composite number, ... 89. 14. 21. 90. 17 35. Answer: seventeen is less than thirty-five. 91. 36 19. 92. 6 ... x. 102. 5 25 y. Answer: equation. Simplify Expressions Using the Order of ... Why is it important to use the order of operations to simplify an expression?Find the amount you would have, if it s continuously compounded Using ... We subtract $17 Our balance is $13 - $17 = [B]-$4[/B] ... 28y+-+2%29%5E2+%3D+16&pl=Calculate']Use our circle equation calculator to get the general form ... to isolate x: 4x - 20 + 20 = 72y + 20 Cancel the 20 on the left side, we get: 4x = 72y + 20 ...so your answer4 will be 17-20=x

Step-by-step explanation:

State whether following proposition is true or false. Justify your answer.


∃ x ∈ ]-4 ,5 [ ∩ Z , 〖- x〗^2 <-9

Answers

Answer:

falseeeeeeeeeeeeeeeeeeeeee

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