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3 months ago

Suma numerelor de forma a4b cu produsul cifrelor 24 este egala cu

Mathematics

1 answer:

AnnZ [12.3K]3 months ago

6 0

Answer:

The correct response is: b)

Step-by-step explanation:

a4b=24, where a × 4 × b = 24 implies a × b = 6

The pairs of numbers with a product of 6 include: {1,6} and {2,3}

In base 10, a4b translates to 100a + 40 + b

Calculating gives us:

100×1+40+6=146

100×6+40+1=641

100×2+40+3=243

100×3+40+2=342

Summing these results yields: 146 + 641 + 243 + 342 = 1372

The correct answer is: b)

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The surface area S of a single-celled organism may be found by multiplying 4π times the square of the radius r of the cell. Expr

lawyer [12517]

Response:

$S(r)=4\pi r^2$ .

Step-by-step explanation:

It is established that the surface area S of a single-celled organism can be calculated by multiplying 4π by the square of the cell's radius r.

We need to portray S as a function of r.

Let r represent the radius of the cell and S(r) denote the surface area of the single-celled organism corresponding to radius r.

Based on the question,

$S(r)=4\pi \times r^2$

$S(r)=4\pi r^2$

Therefore, the required function is $S(r)=4\pi r^2$ .

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1 month ago

Makayla is taking a math course and is working with the perimeter of rectangles. She knows the perimeter and length of her recta

lawyer [12517]

Answer:

$W=\dfrac{P}{2}-L$

Step-by-step explanation:

$P=2L+2W \qquad\text{given}\\\\P-2L=2W \qquad\text{subtract $2L$}\\\\\dfrac{P-2L}{2}=W \qquad\text{divide by 2}\\\\W=\dfrac{P}{2}-L \qquad\text{carry out the division}$

The given formula doesn't appear to match any of the answer choices.

W = (P/2) - L

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2 months ago

A merry-go-round has a radius of 18 feet. If a passenger gets on a

Zina [12379]

Answer:

The rotation angle measures 2.11 °

Step-by-step explanation:

Stated as follows:

The radius of the circular path = r = 18 feet

The distance rolled by the wheel = l = 38 feet

Let us denote the angle of rotation as Ф

Now, according to the problem:

∵ the length of an arc at the center corresponds to an angle Ф

Thus,

distance rolled by the wheel = π × radius × $\frac{\Theta }{180^{\circ}}$

As 180° represents π radians

And π approximates to 3.14

Thus, distance rolled by the wheel = 180 °× radius × $\frac{\Theta }{180^{\circ}}$

That is l = r × Ф

So, Ф = $\frac{l}{r}$

Consequently, Ф = $\frac{38 feet}{18 feet}$

Therefore, Ф = 2.11 °

Thus, the rotation angle is Ф = 2.11 °

Hence, the rotation angle is 2.11 ° Answer

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3 months ago

Bill buys and sells laptops. Last month Bill bought 50 laptops. He paid £400 for each laptop. He sold 40 of these laptops at a p

PIT_PIT [12445]

Answer:

Yes, Bill surpassed his target by £2,200.

Step-by-step explanation:

The cost for the laptops totals = 50 x 400

= 20,000

He sold 40 laptops with a profit margin of 30%

Calculating that gives (40 x 400) x 1.30

= 20,800

He sold 10 laptops with a profit of 15%

Calculating that gives (15 x 400) x 1.15

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Thus, the overall sales revenue totals

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1 month ago