Sarah scored 68 out of 80 in a test.Write her score as a simplified fraction

Answers

Answer 1

Answer: $(68)/(80) \n \n ((4)17)/((4)20) \n \n \boxed{ (17)/(20)}$

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Factorise:a4+2a3b-2ab3-b4..

Answers

$a^4+2a^3b-2ab^3-b^4\n\n=a^4-b^4+2a^3b-2ab^3\n\n=(a^2-b^2)(a^2+b^2)+2ab(a^2-b^2)\n\n=(a^2-b^2)(a^2+b^2+2ab)\n\n=(a-b)(a+b)(a+b)^2\n\n=(a-b)(a+b)(a+b)(a+b)$

$(x+y)^2=x^2+2xy+y^2\n\nx^2-y^2=(x-y)(x+y)$

How would you write 4.03 as a mixed number in simplest form?

Answers

The largest whole number would be 4 and the .03 is 3/100.

Every week, Hector works 20 hours and earns $210.00. He earns a constant amount of money per hour.Part A
Write an equation that can be used to determine the number of hours, h, Hector works given the number of weeks, W.
Enter your equation in the space provided

Part B
Write an equation that can be used to determine Hector's earnings, in dollars, m, for h hours of work.
Enter your equation in the space provided.

Answers

Answer:

A). h = 20 w

B). m = 10.5h

Step-by-step explanation:

Part (A).

Let the total number of hours Hector worked = h

And total number of weeks worked by Hector = w

Therefore, number of hours Hector worked in a week = $(h)/(w)$

Since, total number of hours worked in a week = 20

Equation will be,

20 = $(h)/(w)$

h = 20w

Part (B).

Per hour earning of Hector = $\frac{\text{Total earning}}{\text{Number of hours worked}}=(210)/(20)$

$(m)/(h)=10.5$

m = 10.5h

Find the diagonal of a square whose area is 64 M2

Answers

Answer:

Square area =c²

64=c²

c=√64 = 8m

we calculate the diagonal

d²=8²+8²

d²=128

d= √128 = 8√2 exact value

Step-by-step explanation:

PLEASE HELP 15 POINTS WILL GIVE BRAINLYDiego says a quadrilateral with four congruent sides is always a regular polygon. Mai says it never is one. Do you agree with either of them?
Diego is correct
Mia is correct
Both are wrong. If a quadrilateral with 4 congruent sides also has 4 right angles, then it will be a regular polygon.

Answers

A regular polygon all the angles, as well as all the sides, are equal.

Diego's claim is the quadrilateral with four congruent sides is always a regular polygon. He is only mentioning that the sides are equals.

He has not mentioned anything about the angles, the angles may or may not be equals.

In the case, if all the angles are equal too, then the claimed quadrilateral will be a regular polygon as shown in figure(a).

So, for this case, Diego's claim is correct while Mai's claim is also wrong.

While if all the angles are not equal, then the claimed quadrilateral will not be a regular polygon as shown in figure(b).

In this case, Diego's claim is wrong while Mai's claim is correct.

So, overall, considering both the case together, none of them have the correct claim.

So, both are wrong.

Which is the best estimate for the quotient 203.12 divided by 48.011 ? My choices are; (A) 4 (B) 40 (C) 400 (D) 4,000

Answers

$203.12 \approx 200 \n48.011 \approx 50 \n \n203.12 / 48.011 \approx 200 / 50=\boxed{4} \Leftarrow \hbox{answer A}$

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