Write the numbers in ascending order

Adam is going to make concrete

hodyreva [135]

Answer:

90 kg of stone

Step-by-step explanation:

Adam has 8 x 25 = 200

19 x 22.5 = 427.5

20 x 50 = 1000

He has enough cement and sand

He needs 1090 - 1000 = 90 kg of stone

He needs 2 bags of stone

5 0

1 year ago

When 27x^2z/-3x^2z^6 is completely simplified, the exponent on the variable z is _____.

Savatey [412]

The expression given (27x^2)z/(-3x^2)(z^6), can be simplify as below:

By properties of powers, if you have the same base, you can substract the exponents. Then:

=(27x^2)z/(-3x^2)(z^6)
=-9z/z^6 (As you can see: x^2-2= x^0=1)
=-9/z^5 (Then, z^6-1=z^5)

Therefore, the answer is: The exponent on the variable z is 5.

7 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

Have you done any factoring with variables? Which property (Commutative, Distributive, or Associative) do you think is most invo

vazorg [7]

Idk how im supposed to answer this or whatevs bu
yes i have done factoring with variables.
distrubutive is the most involved in factoring method as i can tell.
i dont think ive studied this before or i mightve forgoten but im sure a polynomial can be factored into another one.
and yea. hope this helped in sum way

7 0

2 years ago

Read 2 more answers

I need help plz ...i need this done by today !!!!

Deffense [45]

5. At First Street Elementary School, about 18% of the 610 students ride bicycles to school. About how many students ride bicycles to school?

Since 100% is equal to 610 students

Then 18% is equal to X students

Results X students = 18%*610students/100% = 109.8 students. As it does not make sense to split students, we have to round up to the nearest unit. Then we have 110 students. That would be approximately 18.03%, that rounded to the nearest unit is approximately 18%.

Answer 5) 110 students ride bicycles to school.

6. Write a proportion and answer each question using the conversion factor 1 inch = 2.54 centimeters.

a) Don is 67 inches tall. How many centimeters tall is he?

Since 1 inch is equal to 2.54 centimeters

Then 67 inches will be X centimeters

Results X cm = 67in * 2.54cm/1in = 170.18 centimeters

Answer 6a) Don is 170.18 centimeters tall.

b) Amira's pencil is 13.5 centimeters long. How many inches long is it?

Since 2.54cm is equal to 1inch

Then 13.5cm will be X inches

Results X inches = 13.5cm * 1in/2.54cm ≈ 5.315 approximately 5.32 inches

Answer 6b) Amira's pencil is approximately 5.32 inches long.

7. Use dimensional analysis to convert 60 miles per hour to feet per second. Remember that there are 5,280 feet in 1 mile.

Since 1 mile is equal to 5,280 feet

Then 60 miles will be X feet

Results X feet = 60 miles * 5,280 feet/1 mile = 316,800 feet

Since there are 3,600 seconds in 1 hour

316,800 feets per hour = 316,800 feets/hour x 1hour/3,600secs = 88 feet/sec

Answer 7) 60 miles per hour are converted to 88 feets per second

Hope this helps!

$\textit{\textbf{Spymore}}$

6 0

1 year ago