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2 years ago

Obtain two numbers such their HCF is 20 and their LCM is 300....... By steps...

Mathematics

1 answer:

Gemiola [76]2 years ago

7 0

Answer:

60 and 100

Step-by-step explanation:

Look for 2 multiples of 20 which are also factors of 300.

No need to go all Mathematician.

It's simple, no long explanation needed

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If Julie invests $9,250 at a rate of 7%, compounded weekly, find the value of the investment after 5 years.

Reil [10]

Answer:

Option D is correct.

Step-by-step explanation

Principal = $9250

rate of interest = 7% or 0.07

time = 5 years or 260 weeks

[ Since there are 52 weeks in a year . for 5 years it will be 5x52=260 weeks]

Applying the formula

Amount after t years = $P(1+\frac{r}{n} )^{nt}$

where P = principal

r = rate % in decimals

n= number of times in a year

t = times ( in years)

plugging the values in the formula

Amount = $9250(1+\frac{0.07}{52} )^{(52X(5)}$

= $9250(1+0.001346 )^{(260)}$

= $9250(1.001346 )^{(260)}$

= 9250(1.418733588)

=$13123.29

5 0

2 years ago

The length of a rectangle is 3 inches more than three times the width. the perimeter is 94 inches. find the length and width.

Zina [86]

Let length be (l) and width be (w).

According to the question, l=3w+3......equation1
And perimeter that is 2(l+w) =94........equation2

Solve these two equations, you get your answer.
l=36
w=11

3 0

2 years ago

Consider the product (x + y + z)2. If the expression is multiplied out and like terms collected, the result is: x2 + y2 + z2 + 2

VLD [36.1K]

Answer:

Part a: The coefficient of $v^9w^2x^5y^7z^2$ is $1.766 \times 10^{13}$

Part b: The number of terms are 23751.

Step-by-step explanation:

part a

From the given equation the

$(x+y+z)^2=x^2+y^2+z^2+2xy+2yz+2zx$

So the coefficient of any term $x^ny^nz^n$ is given as

$\dfrac{2!}{n!n!n!}$

Similarly for the generic equation of coefficient of the term $x_1^{r_1}x_2^{r_2}x_3^{r_3}......x_k^{r_k}$ in the equation of form $(x_1+x_2+x_3+x_4......x_k)^n$ is given as

$\dfrac{n!}{r_1!r_2!r_3!....r_k!}$

So now the coefficient of $v^9w^2x^5y^7z^2$ is given as

$=\dfrac{25!}{9!2!5!7!2!}\\=1.766 \times 10^{13}$

The coefficient of $v^9w^2x^5y^7z^2$ is $1.766 \times 10^{13}$

Part b:

The number of terms is given as $\left (\ {{m+n-1} \atop {n}} \right )$

where m is the number of variables which are 5 here

n is the power which is 25 so the number of variables is given as

$\left (\ {{5+25-1} \atop {25}} \right )\\\left (\ {{29} \atop {25}} \right )\\\dfrac{29!}{25!4!}=23751$

So the number of terms are 23751.

3 0

2 years ago

What is Discount Comics is running a special: 20 comics for $5.00. Seth purchases 30 comics for $7.50. What is the sale price pe

Shalnov [3]

Since we are finding the unit rate of the cost per comic, we will need to divide $5 by 20 comics which you will get 0.25 cents and divide $7.50 by 30 comics which you will also get 0.25 cents.Therefore, the unit rate and constant of proportionality is 0.25 cents.

8 0

2 years ago

Read 2 more answers

A home builder wants 5 5 acres of land split into 13 13 equal sections. Three of these expressions give the number of acres of l

stepladder [879]

Answer:

Check Explanation

Step-by-step explanation:

The options to be examined for the wrong one isn't presented, and it wasn't obtainable online, So, I'll exhaustively cover all the common possible answers!

5 acres of land. Acres is a unit of measurement that is most pecuilar to land. It is basically expressing the area of the land.

So, if 5 acres of land is to be divided into 13 sections with equal areas.

Each of the 13 land areas will have an area of (5/13) = 0.385 acre

1 acre = 4046.856 m²

5 acres = 20,234.28 m²

Each of the 13 land areas will have an area of (20234.28/13) = 1556.5 m²

1 acre = 43560 ft²

5 acres = 5 × 43560 = 217,800 ft²

Each of the 13 land areas will have an area of (217800/13) = 16,753.85 ft²

1 acre = 0.00156 square miles

5 acres = 5 × 0.00156 = 0.0078 square miles

Each of the 13 land areas will have an area of (0.0078/13) = 0.0006 square miles.

So, basically, whatever units one converts the area to, just divide the value by 13 and one obtains the area of each of the 13 portions of land that makes up the 5 acres.

Hope this Helps!!!

4 0

2 years ago

Read 2 more answers

Obtain two numbers such their HCF is 20 and their LCM is 300....... By steps...​

Obtain two numbers such their HCF is 20 and their LCM is 300....... By steps...