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PIT_PIT [208]
4 years ago
15

Simplify (3w^2r)^2(-2w^5r^2)^3

Mathematics
1 answer:
jonny [76]4 years ago
5 0
Simplify the expression.
−
-288r^2w^15^r2+4r

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Question 3 (2 points)
inna [77]

Answer:

$19.50

Step-by-step explanation:

40% of $32.50 = $13.00

$32.50 - $13.00 = $19.50

Hope this helps!

7 0
3 years ago
2n + 5 = n - 5<br> Find the number that n is<br> And please explain :)
Archy [21]

Answer:

-10

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Given the conversion factor which cube has the larger surface area?
Eduardwww [97]

Given the surface area of a cube as

\begin{gathered} SA=6l^2 \\ \text{where l is the length} \end{gathered}

Given Cubes A and B

\begin{gathered} \text{Cube A} \\ l=19.5ft \end{gathered}\begin{gathered} \text{Cube B } \\ l=6m\text{ } \\ \text{ in ft}\Rightarrow\text{ 1m =3.28ft} \\ l=6\times3.28ft=19.68ft \end{gathered}

Find the surface area of the cubes and compare them to know which one is larger

\begin{gathered} \text{Cube A} \\ SA=6\times19.5^2=6\times380.25=2281.5ft^2 \end{gathered}\begin{gathered} \text{Cube B} \\ SA=6\times19.68^2=6\times387.3024=2323.8144ft^2 \end{gathered}

Hence, from the surface area gotten above, Cube B has a larger surface area than Cube A

3 0
1 year ago
Question 1: The sum of two consecutive even integers is 70. Find the numbers. Question 1 options:
zloy xaker [14]
Question (1):
Assume that the first number is n. Since the two number are consecutive even numbers, this means that the second number is n + 2
We know that the sum of the two numbers is 70. This means that:
n + n + 2 = 70
2n + 2 = 70
2n = 68
n = 68/2
n = 34
This means that the two numbers are: 34 and 34+2 = 36 .......> last option

Question (2):
Assume dog's age is x. We know that cat's age is 5 less than twice dog's age. This means that:
cat's age = 2x - 5
We know that cat's age is 11, therefore:
11 = 2x - 5
11 + 5 = 2x
16 = 2x
x = 16/2 = 8
Dog's age is 8 .......> first option

Question (3):
The three numbers are consecutive. This means that we can assume the numbers to be n, n+1 and n+2. We know that their sum is 46. Therefore:
n + n + 1 + n + 2 = 46
3n + 3 = 46
3n = 43
n = 43/3
The three numbers are 43/3 , 46/3 and 49/3 .......> none of the given options in correct

Question (4):
The three consecutive numbers are all even. This means that we can assume the numbers to be n , n+2 and n+4
We know that their sum is 198. This means that:
n+n+2+n+4 = 198 .........> second option

Question (5):
The four consecutive numbers can be assumed as n, n+1 , n+2 and n+3. We know that their sum is 86. Therefore:
n + n+1 + n+2 + n+3 = 86 .......> third option

Question (6):
Assume the width is w. We know that the length is 15 cm greater than the width. This means that:
length = w + 15
Now, we have:
perimeter = 2(length + width)
150 = 2 (15 + w + w)
75 = 15 + 2w
60 = 2w
w = 60/2
w = 30 cm
This means that:
length = 15 _ 30 = 45 cm
Based on the above, the dimensions of the rectangle are:
length = 45 cm and width = 30 cm .......> first option

Question (7):
Assume original price before taxes is x
Total price = original price + taxes
825 = x + 0.1x = 1.1 x
x = 825/1.1
x = $750 .........> second option

Question (8):
Assume cost of helmet is x and that cost of bicycle is 5x. We know that the total is 240. This means that:
240 = x + 5x = 6x
x = 240/6
x = 40
This means that:
price of helmet = $40
price of bicycle = 5(40) = $200
..........> first option

Hope this helps :)
8 0
4 years ago
How many yards are in 2 millimeters
AleksandrR [38]
In 1 millimeter, there are 0.00109361
So in 2 mm, there are 2 × 0.00109361 = 0.00218722 yards

or do proportions:
\frac{1mm}{0.00109361yd} = \frac{2}{y}

Cross multiply:

2 × 0.00109361 = y
0.00218711 = y 

0.00218722 yards are in 2 millimeters. 
7 0
3 years ago
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