MATHEMATICS HIGH SCHOOL

Find the difference. Do not round.

12.39 - 1.504 =

Answers

Answer 1
Answer: 12.39 - 1.504 - Given subtraction problem that needs to be solve to find out the difference. NO need to round off the answer.
=> 12.39 - 1.504 = 10.886
10.886 - is the answer or the difference.
Answer 2
Answer:

Answer:

=> 12.39 - 1.504 = 10.886

Step-by-step explanation:

=> 12.39 - 1.504 = 10.886

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Percy paid $24.10 for a basketball. The price of the basketball was $22.99. What was the sales tax rate?

Answers

First, determine the difference between the amount Percy paid and the price of the basketball. That is, $24.10 - $22.99 = $1.11. Divide this value by the price of the basketball and multiply the quotient by 100% to get the tax rate. 
                            ($1.11 / $22.99) x 100% = 4.8%
Thus, the sales tax is approximately equal to 4.8%. 

Answer:

4.80%

Step-by-step explanation:

How far will the feather have fallen if it reaches the surface in 9.00 seconds? Given: g on moon = -1.63 meters/second2

Answers

-1.63 times 9.00 = -6.57 meters in 9.00 seconds

A circular garden has a radius of 3 meters what is the area of the garden using pi

Answers

Answer:

It would be 28.27m²

Step-by-step explanation:

Please help with sequences and series problem!

Answers

In an arithmetic sequence, consecutive terms are separated by a common difference d and are given recursively by

a_n=a_(n-1)+d

So we can write a_(51) in terms of a_(11) by substituting recursively:

a_(51)=a_(50)+d

a_(51)=(a_(49)+d)+d=a_(49)+2d

a_(51)=(a_(48)+d)+2d=a_(48)+3d

and so on up to

a_(51)=a_(11)+40d

(notice how in a_x+yd, it's always true that x and y add up to 51)

We're given that a_(11)=23 and a_(51)=183, so we can solve for d:

183=23+40d\implies40d=160\implies d=40

We can use the same strategy to find the first term in the sequence:

a_(11)=a_(10)+40

a_(11)=(a_9+40)+40=a_9+80

a_(11)=(a_8+40)+80=a_8+120

and so on up to

a_(11)=a_1+400

23=a_1+400\implies a_1=-377

In general, the sequence has a pattern of

a_n=a_(n-1)+40

a_n=(a_(n-2)+40)+40=a_(n-2)+2\cdot40

a_n=(a_(n-3)+40)+2\cdot40=a_(n-3)+3\cdot40

and so on up to

a_n=a_1+(n-1)\cdot40

So this sequence is given by the rule

a_n=-377+40(n-1)\implies \boxed{a_n=40n-417}

Explain one thing you need to be careful with when writing a proportion.

Answers

For this case, we have that by definition, the proportions can be expressed in different ways. Example, if we have a dog and three cats:

75%: It's percentage

0.75: In decimal (75% are cats)

\frac {3} {4}: In fraction. (There are \frac {3} {4} of cats)

3: 1: Using ":" to separate sample values. (For every three cats there is a dog)

Care should be taken with the proportions, always multiplying the numbers in the proportion by the same value.

Example:3: 1 = 3 * 2: 1 * 2 = 6: 2

Answer:

Care should be taken with the proportions, always multiplying the numbers in the proportion by the same value.

Multiply the Polynomial
(5a-b)(5a+8b)

Explain.

Answers

(5a-b)(5a+8b)=(5a*5a)+(5a*8b)+(-b*5a)+(-b*8b)=25a^2+40ab-5ab-8b^2=25a^2+25ab-8b^2
(5a - b)(5a + 8b)
5a(5a + 8b) - b(5a + 8b)
5a(5a) + 5a(8b) - b(5a) - b(8b)
25a² + 40ab - 5ab - 8b²
25a² + 35ab - 8b²
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