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2 years ago

A SCHOOL HAS 320 GIRLS AND 250 BOYS

Mathematics

1 answer:

tigry1 [53]2 years ago

8 0

Answer:

Step-by-step explanation:

I just multiplied 320 by 0.2 and then 250 by 0.1 and then added them together. I hope it helps and I'm not sure what method you would use for this but that's mine.

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Jason bought a table for $98.00. The finance charge was $12 and she paid for it over 10 months. Use the formula, and calculate h

lutik1710 [3]

Answer:2.00

Step-by-step explanation:

approximate apr=(finance charge divided by#months)12 / amount financed

8 0

2 years ago

Däne has a stamp collection. in one boo he has 6 pages with 15 stamps on each page. in another book,he has 9 pages with 20 stamp

galben [10]

6x15= 90

9x20= 180

180+90= 270

270 - 25 = 245 dane has 245 stamps left

8 0

2 years ago

What is the binomial expansion of (x + 2)4? x4 + 4x3 + 6x2 + 4x + 1 8x3 + 24x2 + 32x x4 + 8x3 + 24x2 + 32x + 16 2x4 + 8x3 + 12x2

Margaret [11]

Answer-

$\boxed{\boxed{(x+2)^4=x^4+8x^3+24x^2+32x+16}}$

Solution-

Given expression is $(x+2)^4$

Applying Binomial Theorem

$\left(a+b\right)^n=\sum _{i=0}^n\binom{n}{i}a^{\left(n-i\right)}b^i$

Here,

a = x, b = 2 and n = 4

So,

$\left(x+2\right)^4=\sum _{i=0}^4\binom{4}{i}x^{\left(4-i\right)}\cdot \:2^i$

Expanding the summation

$=\dfrac{4!}{0!\left(4-0\right)!}x^4\cdot \:2^0+\dfrac{4!}{1!\left(4-1\right)!}x^3\cdot \:2^1+\dfrac{4!}{2!\left(4-2\right)!}x^2\cdot \:2^2+\dfrac{4!}{3!\left(4-3\right)!}x^1\cdot \:2^3+\dfrac{4!}{4!\left(4-4\right)!}x^0\cdot \:2^4$

$=\dfrac{4!}{0!\left(4\right)!}x^4\cdot \:2^0+\dfrac{4!}{1!\left(3\right)!}x^3\cdot \:2^1+\dfrac{4!}{2!\left(2\right)!}x^2\cdot \:2^2+\dfrac{4!}{3!\left(1\right)!}x^1\cdot \:2^3+\dfrac{4!}{4!\left(0\right)!}x^0\cdot \:2^4$

$=1\cdot x^4\cdot \:1+4\cdot x^3\cdot \:2+6x^2\cdot \:4+4\cdot x\cdot \:8+1\cdot 1\cdot \:16$

$=x^4+8x^3+24x^2+32x+16$

4 0

2 years ago

Read 2 more answers

Rewrite in simplest radical form 1/x^-3/6. Please show each step of your process.

antiseptic1488 [7]

To simplify the given radical form, we must recall some properties of exponents as shown below. 1. 1/x⁻ⁿ = xⁿ 2. x¹/² = √x Now, going back to 1/x⁻³/⁶, we have 1/x⁻³/⁶ = x³/⁶ x³/⁶ = x¹/² x¹/² = √x Using the properties provided, we have a simplified form of √x. Answer: √x

7 0

2 years ago

Read 2 more answers

Each square on the grid is 1 unit by 1 unit. You want to walk from point A to point B via a path that is 7 units long, but you h

Effectus [21]

Answer:

If you are traversing squares then 7 different paths can be taken

If you are traversing edges then 36 different paths can be taken

Step-by-step explanation:

I have attached a picture that would describe the grid which is 7 units long.

The solution to the general problem is if you have to take X right steps, and Y down steps then the number of routes is simply the ways of choosing where to take the down (or right) steps. Such that:

$\left (\ {X+Y} \atop {X}} \right.\left)=\left (\ {X+Y} \atop {Y}} \right.\left)$

Basically its the combination of terms.

In this problem,

If you are traversing squares then there are 6 right steps and 1 down step,

7 C 1 = 7 C 6= 7

If you are traversing edges then there are 7 right steps and 2 down steps:

9 C 2 = 9 C 7= 36

3 0

2 years ago