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3 years ago

Rama is stringing beads whose lengths are each 0.19 inches. How can rounding be used to estimate the length of a row of 9 beads?

Mathematics

1 answer:

Mice21 [21]3 years ago

6 0

Since the beads are about 0.20 inches, the length of a row of 9 beads will be approximately 9 × 0.20 = 1.80 inches.

Step-by-step explanation:

According to given statement;

Length of individual stringing beads = 0.19 inches

Rounding off = 0.2 inches

Length of row of 9 beads = 9* rounded off length of individual beads

Length of row of 9 beads = 9*0.2

Length of row of 9 beads = 1.80 inches

Since the beads are about 0.20 inches, the length of a row of 9 beads will be approximately 9 × 0.20 = 1.80 inches.

Keywords: multiplication

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2% of 350 is what number?

weeeeeb [17]

Answer:

Step-by-step explanation:

An easy way to find any percentage of a number is to multiply with decimals. To do this you have to first convert the percentage to a decimal. Do this by moving the decimal point in the percentage 2 places to the left. This means that 2.0% becomes 0.02. Then, multiply this decimal by the whole number. So, 0.02*350. This equals 7, which is 2% of 350.

This same trick will work with any problem. For example 38% of 435 is the same as 0.38*435, which equals 165.3.

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2 years ago

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Find the solution to the initial value problem (1 + x^{5}) y' + 5 x^{4} y = 5 x^{8}

natali 33 [55]

$(1+x^5)y'+5x^4y=5x^8$
$\bigg((1+x^5)y\bigg)'=5x^8$
$(1+x^5)y=5\displaystyle\int x^8\,\mathrm dx$
$(1+x^5)y=\dfrac59x^9+C$
$y=\dfrac{5x^9+C}{9(1+x^5)}$

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3 years ago

does somebody knows how to do this one?

vlada-n [284]

Answer:

Step-by-step explanation:

To find the area subtract the area of the semicircle from the area of the rectangle.

Although the line isn’t there, if you imagine there is one, then you will see that you form a rectangle which is the same line as the semicircle’s diameter.

The area of rectangle is:

⇒ $A = lw$

⇒ $A = (14)(8)$

⇒ $A = 112cm^{2}$

The area of the semicircle;

⇒ $A = \frac{1}{2}\pi r^{2}$

⇒ $A = \frac{1}{2}\pi (7)^{2}$

*Note here that the radius is half the diameter, so it is 7cm, not 14cm

⇒ $A = 76.97cm^{2}$

Finally subtract the two areas;

⇒ $A = 112 - 76.97$

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2 years ago

A box contains 35 gems, of which 10 are real diamonds and 25 are fake diamonds. Gems are randomly taken out of the box, one at a

USPshnik [31]

Answer:

$Probability = 0.504$

Step-by-step explanation:

Given

$Gems= 35$

$Real = 10$

$Fake = 25$

Required

Determine the probability of selecting two fakes

The probability can be represented as thus: $P(Fake\ and\ Fake)$

Using the following probability formula, we have:

$P(Fake\ and\ Fake) = P(Fake) * P(Fake)$

Each probability is calculated by dividing number of fakes by total number of gems:

$P(Fake\ and\ Fake) = \frac{25}{35} * \frac{25-1}{35-1}$

The minus 1 (-1) represent the numbers of fake and total gems left after the first selection

$P(Fake\ and\ Fake) = \frac{25}{35} * \frac{24}{34}$

$P(Fake\ and\ Fake) = \frac{5}{7} * \frac{12}{17}$

$P(Fake\ and\ Fake) = \frac{60}{119}$

$P(Fake\ and\ Fake) = 0.504$

<em>Hence, the required probability is approximately 0.504</em>

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3 years ago

The clothing club sold 40 pants and shirts at a new store and made $700 from the sales. They charged $18 for each pants and $14

hoa [83]

Answer: The system of equations represents the constraints in this situation are:

s + h = 40

$18s + $14h = $700

The above equations are known as simultaneous equations. 40 scarves and hats were sold, this can be represented with this equation:

number of hats sold + number of scarves sold = 40

s + h = 40

The total amount made from the sales is the sum of the total amount made from the sale of the hats and the total amount made from the sale of the scarves. This can be represented with this equation:

($18 x s) + ($14 x h) = $700

Step-by-step explanation:

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2 years ago