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2 years ago

Here are the ingredients to make 12 cupcakes.

Mathematics

1 answer:

scoundrel [369]2 years ago

4 0

Answer:

Mark needs 2 kg butter, 2 kg caster sugar, 14 eggs, and 1.5 kg flour.

Step-by-step explanation:

Alright, first you double the number of kids, as Mark wants each kid to have two cupcakes, not one. (Then add 80+80 to get 160)

Now add the adults to children: 160+152=312

now divide by 12 to see how many batches of cupcakes he needs to make.

312÷12=26 So he needs to make 26 batches

Now here are the ingredients needed to make 12 batches of cupcakes (I multiplied the amount of each ingredient by 26)

5200 g (5.2 kg) butter, 5200 g (5.2 kg) caster sugar, 104 eggs, and 6500 g (6.5 kg) flour.

now make the measurements the same as Mark's ingredients (or the other way around)

(to save time I am not showing each one, just the normal ingredients turned into kg and compared)

5 kg butter < 5.2 kg butter

5 kg caster sugar < 5.2 kg butter

90 eggs < 104 eggs

5 kg flour < 6.5 kg flour

Now do a little subtraction.....

5.2 kg-5 kg = 2 kg butter is needed....

5.2 kg - 5 kg = 2 kg caster sugar is needed....

104 - 90 = 14 eggs needed....

6.5 kg - 5 kg = 1.5 kg flour needed....

And there you go!!! Hope this helped!!! :D

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Choose any positive integer. Powers of two here are not very interesting, so choose something else. If the number you have chose

Yakvenalex [24]

Answer:

Step-by-step explanation:

Let the integer be 6 for even and 7 for odd (say)

For 6, we divide by 2, now get 3. Now we multiply by 3 and add 1 to get 10. Now since 10 is even divide by 5, now multiply by 3 and add 1 to get 16. Now divide by 2 again by 2 again by 2 again by 2 till we get rid of even numbers.

The result is 1, so multiply by 3 and add 1 we get 4 now divide 2 times by 2 to get 1, thus this result now again repeats after 2 times.

Say if we select off number 3, multiply by 3 and add 1 to get 10 now divide by 5, now repeat the same process as above for 5 until we get 1 and it gets repeated every third time.

Thus whether odd or even after some processes, we get 1 and the process again and again returns to 1.

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2 years ago

A sphere has a volume of 33.5 cubic inches. which value is closest to the radius of this sphere in inches?

EastWind [94]

Radius = cube root (sphere volume * .75 / PI)radius = cube root (33.5 * .75 / PI)radius = cube root ( 7.9975358904)
radius =2 inches
Source: http://www.1728.org/diam.htm

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2 years ago

In a cinema theatre, why do we normally not hear echoes even though the sounds are loud?

ikadub [295]

Answer:

An echo is formed as a result of reflection of the original sound which returns to the listener. You might have experienced Echo in an EMPTY ROOM but no echo is produced after the room is occupied. To avoid echo from being produced the echo has to be absorbed. Echo in a cinema theatre is absorbed by the WALLS of the theatre.

They are not plain. The walls are corrugated or shaped to form tiny holes or empty spaces to ABSORB the ECHO. Modern Theatre's have ABSORBENT materials sticked to the walls of the theatre.

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1 year ago

In 2019, approximately 97.4% of all the runners who started the Boston Marathon (in Boston, Massachusetts, USA) were able to com

PtichkaEL [24]

Answer:

The probability that exactly 97 of them finished the marathon is 0.221.

Step-by-step explanation:

We are given that in 2019, approximately 97.4% of all the runners who started the Boston Marathon were able to complete the 42.2 km race.

100 runners are chosen at random.

The above situation can be represented through the binomial distribution;

$P(X = x) = \binom{n}{r} \times p^{r} \times (1-p)^{n-r};x = 0,1,2,3,......$

where, n = number of trials(or samples) taken = 100 runners

r = number of success = exactly 97

p = probability of success which in our question is the probability

that runners finished the marathon, i.e; p = 0.974

So, X ~ Binom(n = 100, p = 0.974)

Now, the probability that exactly 97 of them finished the marathon is given by = P(X = 97)

P(X = 97) = $\binom{100}{97} \times 0.974^{97} \times (1-0.974)^{100-97}$

= $161700 \times 0.974^{97} \times 0.026^{3}$

= 0.221

Hence, the required probability is 0.221.

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2 years ago

Which value is needed in the expression below to create a perfect square trinomial?

Klio2033 [76]

Answer:

The value which is needed to be added to transform the quadratic expression $x^{2}+8x$ as a perfect square trinomial is 16.

Step-by-step explanation:

A quadratic expression is an expression in which the highest power of the variable is 2 or it can be said that the degree of the expression is 2.

The identity for $(a+b)^{2}$ is given as follows:

$(a+b)^{2}=a^{2}+b^{2}+2\times(a)\times(b)$

Step 1:

Break down the given polynomial $x^{2}+2\times(x)\times(4)$ .

Step 2:

Now compare the polynomial with the above indentity.

On comparing it is observed that the value of a is x and the value of b is 4.

Step 3: 

In order to make the polynomial $x^{2}+8x+$ a perfect square, add $16$ to the broked down polynomial because on comparing the above polynomials the value of b is 4 and the square of 4 is 16.

$x^{2}+2\times(x)\times4+16$

Step 4:

Now as per the identity $(a+b)^{2}=a^{2}+2\times(a)\times(b)+b^{2}$ the polynomial $x^{2}+2\times(x)\times4+16$ is written as follows:

$(x+4)^{2}$ .

Therefore, the perfect square for the given polynomial is $(x+4)^{2}$ which is created by adding 16 to the given expression.

Learn more:

A problem to obtain the y-intercept of a quadratic function brainly.com/question/1332667
A problem to obtain the binomial and trinomial brainly.com/question/1394854

Answer details

Grade: Middle school

Subject: Mathematics

Chapter: Quadratic expression

Keywords: Quadratic, quadratic expression, polynomial, quadratic polynomial, perfect square, trinomial, degree, highest power, transform, identities, break down, perfect square, middle term split, x^2+8x,methamatics, algebra.

6 0

1 year ago

Read 2 more answers