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3 years ago

Estimate 9.8% of 320

Mathematics

1 answer:

Jobisdone [24]3 years ago

8 0

10% of 320 = 32

So 9.8% of 320 should be some number between 31 and 32

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Simplify this expression.

Margarita [4]

Answer

$\frac{ 6 {y}^{4} {w}^{2} }{{x}}$

Step-by-step Explanation

$\huge \frac{12 {x}^{3} {y}^{6} {w}^{5} }{ 2{x}^{4} {y}^{2} {w}^{3} } \\ \\ \huge= \frac{6 {x}^{3} {y}^{6} {w}^{5} }{{x}^{4} {y}^{2} {w}^{3} } \\ \\ \huge = 6 {x}^{3 - 4} {y}^{6 - 2} {w}^{5 - 3} \\ \\ \huge= 6 {x}^{ - 1} {y}^{4} {w}^{2} \\ \\ \huge = \frac{ 6 {y}^{4} {w}^{2} }{{x}^{1}} \\ \\ \huge = \frac{ 6 {y}^{4} {w}^{2} }{{x}}$

7 0

4 years ago

Read 2 more answers

Prove that (n+5)^2-(n+3)^2 is a multiple of 4 for all positive integer values of n

hodyreva [135]

Answer:

Proved

Step-by-step explanation:

Given

$(n+5)^2-(n+3)^2$

Required

Show that $(n+5)^2-(n+3)^2$ is a multiple of 4

Expand each bracket

$(n+5)(n+5)-(n+3)(n+3)$

Open brackets

$n^2 + 5x + 5x + 25 - (n^2 + 3x + 3x + 9)$

$n^2 + 10x + 25 - (n^2 + 6x + 9)$

Open bracket

$n^2 + 10x + 25 - n^2 - 6x - 9$

Collect Like Terms

$- n^2 + n^2 - 6n + 10n + 25 - 9$

$- 6n + 10n + 25 - 9$

$4n + 25 - 9$

$4n + 16$

Factorize

$4(n + 4)$

Hence, the multiples of $(n+5)^2-(n+3)^2$ are $4$ and $(n + 4)$

8 0

3 years ago

Do anyone know how to do this?

kykrilka [37]

Answer:

1.) x=4

2.) x=14

Step-by-step explanation:

FOR #1:

1.) In order to solve the parallelogram, you must know that each opposite sides must equal...

so KL=JM and KJ=LM

2.) To solve for "x", you must substitute

$KL= 7x-2\\JM=12x-22$

so it should end up with...

$7x-2=12x-22$

3.) Solve the equation with some algebra

$7x-2=12x-22\\-5x=-20\\x=4$

FOR #2:

1.) In order for a square, rectangle, parallelogram, (or any shape with four sides), it must equal to 360°. And you just have two given angles, which equal to 180, so that means the unknown equals to 180...So in this case you should have

$(3x+5)+(9x-17)+180=360$