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Ganezh [65]
3 years ago
5

Kevin has ​$24 to buy a gift for his cousin. He found a gift for ​$22. With 5​% sales tax added​ on, will Kevin have enough mone

y to buy the​ gift? If​ so, how much will he​ pay?

Mathematics
1 answer:
Evgesh-ka [11]3 years ago
5 0
The answer is He will have enough because 5% sales tax + $22 is equal to 23.10
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Choose two values, a and b, each between 8 and 15. Show how to use the identity a^3+b^3=(a+b)(a^2-ab+b^2) to calculate the sum o
qaws [65]

Answer:

Step-by-step explanation:

a = 8

b  = 10

a^3 =8^3 = 512

b^3= 10^3 =1000

a^3 + b^3 = 1512

a^2 = 64

-ab = - 80

b^2 = 100

a + b=18

(a + b) (64 -  80+ 100)

18 * (84)

1512'

5 0
3 years ago
Last year Peter spent a total of 8 1/6 hours on community service. Visits to old folks' homes made up 4/7 of the total time. How
zhannawk [14.2K]

Answer:

A. 4 2/3 hours

B. (i) 9 4/5 hours

(ii) 1 19/30

Step-by-step explanation:

Firstly, to find the number of hours he used in visiting old folks, what we have to do is to multiply the fraction of hours he used by the total number of hours.

Mathematically, that would be;

4/7 * 8 1/6

8 1/6 is same as 49/6

So the number of hours he spent visiting old folks would be ;

49/6 * 4/7 = 14/3 = 4 2/3 hours

B. What we do here is simply multiply the fraction now by what he spent last year.

That would be 1 1/5 * 8 1/6 hours

= 6/5 * 49/6 = 49/5 = 9 4/5 hours

ii) Now we want to know how much more time will be spent this year than last year.

What to do here simply is to subtract the time taken last year from what we have this year

That would be;

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4 0
3 years ago
Question (in need of help)
mr Goodwill [35]
<h3><u>Required</u><u> Answer</u><u>:</u><u>-</u></h3>

This is an right angle ∆ and the side lengths containing a right angle are 9 and 11.

By Pythagoras theoram,

{p}^{2}  +  {b}^{2}  =  {h}^{2}

where p is the perpendicular, b is the base and h is the hypotenuse.

Plugging the values,

{9}^{2}  +  {11}^{2}  =  {h}^{2}

Then,

h =  \sqrt{ {9}^{2}  +  {11}^{2} }

h = 14.12(approx.)

<h3><u>Hence:</u><u>-</u></h3>

The x of the right angled ∆ = <u>1</u><u>4</u><u>.</u><u>1</u><u>2</u>

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3 years ago
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Which equation has a slope of -5/2 and a y-intercept of -2
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Answer:

Step-by-step explanation:

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The model shows 1/2.
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Answer:

the answer is B

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