Round each to the nearest cent.
$879.190
and
$532.626

Answer:

(i): $10.20

(ii): $32:51

Step-by-step explanation:

(i) 1. put the percentage of the discount into a decimal: 0.15

2. multiply 0.15 by the sale price to find the amount of the discount: $1.80

3. subtract the discount, $1.80, from the original price, $12: $10.20

(ii) 1. put the percentage of the discount into a decimal: 0.15

2. multiply 0.15 by the sale price to find the amount of the discount: $5.74

3. subtract the discount, $5.74, from the original price, $38.25: $32.51

(i) The sale price of the book of original price $12 is $10.20.

(ii) The original price of the jacket is $38.25.

The percentage is a calculation method for every 100.

The original price of a book is $12.

In a sale the original prices are reduced by 15%.

∴ Price reduced = $(12*15%)

=$ 1.80

Hence, the sale price is = $(12-1.80)

=$10.20

The discounted price is the price a buyer pays after getting a discount of marked price.

Here, the sale reduces price by 15%

The discounted price is equivalent to = (100-15)%

=85%

By the condition ,

85% = $38.25

∴100%= $(38.25/85*100)

=$ 45

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Answer:

3x(4x+5y)

Step-by-step explanation:

to factorise this equation you have to remove the common terms,or the common factors in this case the common factor for both sides is 3 and the common letter is x

12x²+15xy

3x(4x+5y)

I hope this helps

Here, all we need to do is subtitute w = 2 and x = 2 into the expression, by multiplying and adding. First, we will muliply 9w:

9w

9 · w =

9 · 2 =

18

Now, all we have to do is use our answer for 9w, and subtract x from it:

9w - x

18 - (2) =

18 - 2 =

16

So, our answer is 16.

Let me know if you have any other questions! :)

Answer:

61

Step-by-step explanation:

to calculate the 20th term you use the formula

Tn=a+(n-1)d where a stands for the first term,n the number of terms and d the common difference.in this case the first term is 4 the common difference is 3 cause they were adding 3 to go to the next term.. therefore the solution will be:

Tn=4+(20-1)3

=4+19×3

=4+57

=61

the 20th term is 61

I hope this helps

Answer:

x = 0

y = -2

Step-by-step explanation:

2304.06 is written in expanded form

4 is unit place. So, 4 *10⁰ = 4 * 1 = 1    {Any integer to the power of 0 is 1}

x = 0

6 is hundredth place = 6 * 1/100 = 6*10⁻²

y= -2

Answer:

a. major arc

b. minor arc

c. semi circle

d. central angle

Answer:

n-9=13

n=22

Step-by-step explanation:

Answer: n = 22

Step-by-step explanation: to get the answer you have to add 9 to the -9 so that it cancels out. then you are to add the 9 to the 13 and so the answer shall be n=22

Answer:

y = 1

d = 4

Step-by-step explanation:

8y - 2d = 0 ---------------(I)

5y + 4d = 26 1/4

5y + 4d =  105/4  ------------------(II)

(I)*2      16y  - 4d = 0

(II)          5y + 4d = 105/4      {add (I) &(II)}

             21y        = 105/4

[tex]y = \frac{105}{5*21}\\\\y=\frac{105}{105}\\\\y = 1[/tex]

Substitute y =1 in equation (I)

8*1 - 2d = 0

8 - 2d = 0

   -2d = -8

      d = -8/-2

d = 4

Answer:

  (y, d) = (1.25, 5)

Step-by-step explanation:

We can add twice the first equation to the second.

  2(8y -2d) +(5y +4d) = 2(0) +26 1/4

  21y = 26 1/4

  y = (105/4)/21 = 105/84 = 5/4

  8(5/4) -2d = 0

  5 = d . . . . . . . . . . add 2d, divide by 2

The solution to this system of equations is ...

  y = 5/4, d = 5

Answer:

3b (3a - 4b)

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

9ab - 12b² ← factor out 3b from each term

= 3b(3a - 4b) → C

Answer:

I have to agree

it's A.

but I'm also thinking it's D.

Answer:

2²=4 is square root and 3³=9 is cube root

Step-by-step explanation:

because 3×3×3=3³and 2×2=2²

The choose ( 0.25 )

Relative Frequency = Category Frequency / Total Frequencies

Category Frequency (prefer tennis) = 7

Total Frequencies = 28

Relative Frequency = 7 / 28

Relative Frequency = 0.25

I hope I helped you^_^

The relative relative frequency of survey members who prefer tennis is found to be 0.25.

The ratio of the total number of events that occur in a experiment to the number of times an event occurs is known as relative frequency.

Relative Frequency = Subgroup frequency/ Total frequency.

Total frequency for the sports is 28.

The frequency for tennis is 7.

The relative frequency of survey members who prefer tennis =

total frequency for tennis/total frequency for all sports

Relative frequency = 7/28

                               = 0.25

Therefore, the relative frequency for the members who preferred playing tennis is 0.25

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Okay which class.are you first thing is that .. ok tell me then fast.

Answer:

2.625

Step-by-step explanation:

First convert mixed fraction to improper fraction,

=> 21/8

Then by normal division you will get,

=> 2.625

Answer:

24

Step-by-step explanation:

We need to find 60% of 40

60% * 40

.60 *40

24

He makes 24 shots

Step-by-step explanation:

60%/100%×40

60%/10%×4 (0 is cancelled)

6×4 (60 and 10 Cancelled)

24 Answer

Answer:

(s+q)+(r+t)

Step-by-step explanation:

statement one s+t

statement two r+t

then add statement one to two to get

(s+t)+r+t

Answer:

17.6

Step-by-step explanation:

Answer:

80 pennies ; 160 nickels

Step-by-step explanation:

Given the 2 equations

0.01p + 0.05n = 8.80 → (1)

n = 2p → (2)

Substitute n = 2p into (1)

0.01p + 0.05(2p) = 8.80

0.01p + 0.1p = 8.80

0.11p = 8.80 ( divide both sides by 0.11 )

p = 80

Substitute p = 80 into (2)

n = 2 × 80 = 160

There are 80 pennies ; 160 nickels

Answer:

Also to help some of you out here’s the answer to question 6 !!

Question 6 : No apparent relationship exist between the side lengths of quadrilateral BCDE inscribed in circle A

Step-by-step explanation:

Answer:

.36

Step-by-step explanation:

To find the decay factor

y = a(1-b)^x

b = 1-rate of decrease

   = 1-64%

   = 1-.64

   = .36

Answer:

2^3 x 31

Step-by-step explanation:

31 is a prime number

Answer:

B) twice v

Step-by-step explanation:

because if there is no any sign between a number and a variable then you know that there is sign of multiplication

Answer:

ok what the question please

Answer:

Step-by-step explanation:

this may or may not be right but I tried my best

Answer:

mateweew ans is 12

The mode is the value that appears most frequently in a data set.

and 12 repeats twice other once so anw is obv 12

Answer: 12

Step-by-step explanation:

Answer:

HP=13

Step-by-step explanation:

because JM and KH are perpendicular and JM is the diameter, JM is the perpendicular bisector of KH so KP=HP

Answer:

B.

Step-by-step explanation:

The ratio of the lengths of the sides of a 30-60-90 triangle is

1 : sqrt(3) : 2

From the 1 and 2, we see that the hypotenuse must be twice the length of the short leg.

From the 1 and sqrt(3) we see that the long leg is sqrt(3) times the length of the short leg.

Now we check for these two ratios in each choice.

A.

1 is twice 1/2. Check

sqrt(3)/2 is sqrt(3) times 2. Check

B.

10 is twice 5, not twice 5/2. This does not check.

C.

2sqrt(2) is twice sqrt(2). Check

sqrt(6) is 2sqrt(2) time sqrt(3). Check

D.

6 is twice 3. Check

3sqrt(3) is sqrt(3) times 3. Check

Answer: B.

Answer:

B

Step-by-step explanation:

Angle ratio = 30 : 60 : 90

Side ratio = x : x√3 : 2x

[tex]A) x = \frac{1}{2}\\\\ \ x\sqrt{3 } = \frac{1}{2}*\sqrt{3}=\frac{\sqrt{3}}{2} \\\\2x = 2*\frac{1}{2}=1[/tex]

True

[tex]C) x = \sqrt{2} \\\\x\sqrt{3}=\sqrt{2} *\sqrt{3} =\sqrt{2*3}=\sqrt{6}\\\\2x=2\sqrt{2} \\[/tex]

True

[tex]D) \ x = 3\\\\x\sqrt{3}=3\sqrt{3}\\\\2x = 2*3 = 6[/tex]

True

Step-by-step explanation:

let d+e=2 be equation 1

let d-e=4 be equation 2

lets make d the subject in equa 1

d = 2-e equation 3

put equation 3 in 2

2-e=4

e=2-4

e=-2

put e=-2 in equa 1

d-2=2

d=4

e is -2 and d is 4

Answer:

246.62007 cm. HTH!

Step-by-step explanation:

A=2AB+(a+b+c)h

AB=s(s﹣a)(s﹣b)(s﹣c)

s=a+b+c

2

Solving forA

A=ah+bh+ch+1

2﹣a4+2(ab)2+2(ac)2﹣b4+2(bc)2﹣c4=8·9+5·9+10·9+1

2·﹣84+2·(8·5)2+2·(8·10)2﹣54+2·(5·10)2﹣104≈246.62007

Answer:

A perfect square is a number that can be expressed as the product of two equal integers.

The only way to accurately calculate if a number is a perfect square is to find the factors. Before we go through the trouble of finding the factors, there is a quick trick you can use to help determine if you need even need to do the extra work.

Try these steps first:

A number that is a perfect square never ends in 2, 3, 7 or 8. If your number ends in any of those numbers, you can stop here because your number is not a perfect square.

Obtain the digital root of the number. The digital root essentially is the sum of all of the digits. If you're lost, don't worry, we'll go over each step in more detail below.

All possible numbers that are a perfect square have a digital root of 1, 4, 7, 9.

Let's try it...

Step 1:

What is the last number of 512? It is this number: 512. The answer is 2. Is 2 in the list of numbers that are never perfect squares (2, 3, 7 or 8)?

Answer: YES, 2 is in the list of numbers that are never perfect squares. The number 512 is NOT a perfect square and we can stop here as there is not need to complete the rest of the steps.

[tex]\\ \qquad\quad\sf\longmapsto 30\%\:of\:210[/tex]

[tex]\\ \qquad\quad\sf\longmapsto \dfrac{30}{100}\times 210[/tex]

[tex]\\ \qquad\quad\sf\longmapsto \dfrac{6300}{100}[/tex]

[tex]\\ \qquad\quad\sf\longmapsto 63[/tex]

Step-by-step explanation:

[tex]★→30\% \: of \: 210 \\=>\frac{30}{100} \times 210 \\ =>\frac{6300}{100} \\ => \boxed{63}✓[/tex]