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9 days ago

If cheese is $4.40 per kilogram, what should i pay for 200 grams

2 answers:

8 0

1 kg equals 1,000 grams.

200 grams is a fifth of 1000 grams, which is also a fifth of 1 kg.

Therefore, 200 g equals 1/5 kg or 0.2 kg.

A kilogram of cheese costs <span>$4.40,
</span>
Thus, the price for 0.2 kg of cheese is $\displaystyle{ \frac{0.2kg \cdot \$4.40}{1kg}}=4.40 \cdot0.2 \$= 0.88\$$

Answer: $0.88

Inessa [3.9K]9 days ago

8 0

Response:

The cost comes to $0.88 for 200 grams.

Explanation:

Initially, we convert kilograms to grams:

It's known that:

1 kilogram counts as 1000 grams.

Given that:

The price for 1 kilogram is $4.4.

This signifies that:

The total cost is $4.4 for every 1000 grams.

Calculating for 200 grams entails cross multiplication as follows:

1000 grams..........> $4.4

200 grams..........>??

Thus, price = $\frac{200*4.4}{1000}$ = $0.88 for 200 grams.

Hope this clarifies!:)

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A high school theater club has 40 students, of whom 6 are left-handed. Two students from the club will be selected at random, on

babunello [3666]

Response:

$1.92\%$

Detailed explanation:

Probability for an event is calculated as the ratio of the size of the event space compared to that of the sample space.

The sample space encompasses all possible outcomes.

Event space represents the number of favorable outcomes for the event in question.

Thus

Let

x ------> size of event space

y ----- → size of sample space

$P=\frac{x}{y}$

Calculate the probability of the first student being left-handed

we have

$x=6$

$y=40$

substituting values

$P=\frac{6}{40}$

Simplify

$P=\frac{3}{20}$

Calculate the probability of the second student being left-handed

we have

$x=6-1=5$

$y=40-1=39$

substituting values

$P=\frac{5}{39}$

Calculate the probability that both selected students will be left-handed

Multiply the probabilities together.

$P=\frac{3}{20}(\frac{5}{39})=\frac{15}{780}$

Convert to percentage

Multiply by 100

$\frac{15}{780}(100)=1.92\%$

4 0

5 days ago

Sarah can bicycle a loop around the north part of Lake Washington in 2 hours and 30 minutes. If she could increase her average s

Leona [4187]

Response:

The loop's length is roughly 49.58 km.

Step-by-step details:

Given:

Duration to cycle the loop = 2 hours and 30 minutes

It is known that;

60 minutes = 1 hour

30 minutes = 0.5 hour

therefore, 2 hours and 30 minutes = $2+0.5 = 2.5\ hrs$

∴ Time to cycle the loop = 2.5 hours

Let 's' denote the cycling speed.

Denote the total loop distance as 'd'

From our understanding;

Distance equals speed times time.

Representing this as an equation we have;

$d =2.5s \ \ \ \ equation \ 1$

Given:

If her speed increased by 1 km/hr, the time taken around the loop would decrease by 7 minutes.

As a result, we can say;

Speed = $s+1$

The time then will be shortened by 7 minutes.

7 minutes = 0.12 hours

Consequently, time = 2.5 - 0.12 = 2.38

Again, Distance is calculated as speed times time.

This can be expressed with equations;

$d =2.38(s+1) \ \ \ \ equation \ 2$

The distances are equivalent in both scenarios, thus we will determine speed by equating the equations.

$2.5s = 2.38(s+1)\\\\2.5s=2.38s+2.38\\\\2.5s-2.38s =2.38\\\\0.12s= 2.38\\\\s =\frac{2.38}{0.12} \approx 19.83\ km/hr$

So, Speed = 19.83 km/hr

Loop length (d) = $19.83\times 2.5 = 49.58 \ km$

Therefore, the loop length is approximately 49.58 km.

7 0

5 days ago

Find the dimensions of the closed rectangular box with maximum volume that can be inscribed in the unit sphere.

Inessa [3926]

Answer:

Wyjaśnienie krok po kroku:

Załóżmy, że prostokąt ma wierzchołki (x,y,z) w dodatnim oktancie. Prostokątny pudełko musi być symetryczne względem wszystkich trzech osi.

Wtedy jego boki to

$2x,2y,2z$

Objętość = $8xyz$

Maksymalizuj objętość przy założeniu

$x^2+y^2+z^2 =1$

tj. $g(x,y,z) = x^2+y^2+z^2 -1=0$

Użyj mnożników Lagrange'a, mamy

$∇f(x,y,z)=λ∇g(x,y,z)$ przy maksimum

$∇f(x,y,z)=λ∇g(x,y,z) =(8yz,8xz,8xy)\\∇g(x,y,z)=(2x,2y,2z)$

$8yz=2λx8xz=2λy8xy=2λz$

Dzieląc otrzymujemy

$\frac{y}{x} =\frac{x}{y} \\x^2=y^2$

Podobnie $y^2=z^2$

Zatem otrzymujemy $3x^2 =1\\x = \frac{1}{\sqrt{3} }$

Stąd wymiary to

(2x,2y,2z)

$\frac{2}{\sqrt{3} },\frac{2}{\sqrt{3} },\frac{2}{\sqrt{3} } )$

</pzatem>

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1 day ago

"There are 3 teams of 18 employees working today. Company policy says that we need to have 1 supervisor for every 8 employees on

tester [3938]

They require six supervisors.

8 0

17 days ago

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Erika is writing a coordinate proof to show that the diagonals of a rectangle are congruent. She begins by assigning coordinates

Leona [4187]

Answer:

Option C is the right choice.

Step-by-step explanation:

The given coordinates define a rectangle, and our objective is to show that the diagonals JL and KM are congruent.

We know that rectangles possess four right angles.

To prove the congruence of the diagonals JL and KM, we will utilize the Pythagorean theorem.

In triangle KLM, KL has a length of b units while LM has a length of a units. By applying the Pythagorean theorem $\sqrt(a^{2}+b^{2})=KM$

In triangle JML, JM is b units long, and LM remains a units long. We again can apply the Pythagorean theorem $\sqrt(a^{2}+b^{2})=JL$

Thus, we find that $\sqrt(a^{2}+b^{2})=KM=LM$ and option C is the correct choice.

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4 days ago

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