Simplify the expression 2(10) + 2(x

How many numbers are equal to the sum of two odd, one digit numbers

Paul [167]

Here is a list of the odd number paired

1+3, 1+5, !+7, and !+9 (there are 4 unique sums - 4, 6,8 and 10)
3+5, 3+7, 3+9 (notice I did not pair 3 with 1 and the the only new sum is 12)
5+7, 5+9 (the only new sum is 14)
7+9 (16 is a new sum)

The sums (no repeats) are 4,6,8,10,12,14 and 16 for a total of seven numbers.

5 0

3 years ago

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).

sergiy2304 [10]

Answer:

The measure of angle θ is 7π/6. The measure of its reference angle is 210°

and sin θ is -1/2.

Step-by-step explanation:

The correct question is:

The measure of angle θ is 7π/6. The measure of its reference angle is ___

and sin θ is ___

180° is equivalent to π radians. To transform 7π/6 radians to degrees, we have to use the following proportion:

180° / π radians = x° / (7π/6 radians)

x = (180/π) * (7π/6 radians)

x = 210°

And sin(210°) = -1/2

6 0

3 years ago

Find the area of a circle with (a) a radius of 9.2 centimeters and (b) a diameter of 50.5 inches.

astra-53 [7]

NAH I HATE PI IM OUT

6 0

3 years ago

Kabul’s bookshop marks up all books by 40 percent of their cost. The overhead rate is 16 percent of the selling price. What is t

morpeh [17]

Answer:

The net profit rate on the book is 5.41

Step-by-step explanation:

Given as :

The marks up percentage of book = m = 40%

The overhead rate is 16% of selling price

The cost price of book = c.p = $18.10

Let The profit = $p

Let The selling price = s.p

Now, According to question

mark up percentage = $\dfrac{s.p - c.p}{c.p}$

I.e 40% = $\dfrac{s.p - 18.10}{18.10}$

Or, $\dfrac{40}{100}$ + 1 = $\dfrac{s.p}{18.10}$

Or, $\dfrac{140}{100}$ = $\dfrac{s.p}{18.10}$

Or, s. p = $\dfrac{140\times 18.10}{100}$

∴ s.p = $25.34

So, selling price of book = s.p = $25.34

Now, The overhead percentage = 16%

i.e overhead rate = $\dfrac{\textrm estimated cost}{\textrm estimated total base unit}$

Or, estimated cost = 16% × 25.34

I,e estimated cost = 0.16 × 25.34

∴ estimated cost = $4.05

Now,

Profit = selling price of book - estimated book cost

I.e p = $25.34 - $4.05

∴ p = $21.29

So, The profit rate% = $\dfrac{\textrm profit}{\textrm estimated cost}$

I.e The profit rate% = $\dfrac{21.29}{4.05}$

∴ profit rate %= 5.41

So, The profit rate = p = 5.41

Hence, The net profit rate on the book is 5.41 Answer

4 0

3 years ago

Mrs.Gill won certain prize money in a cooking competition.She spent half of the prize money on the clothes,one third on grocery

erma4kov [3.2K]

Answer

Find out the how much prize money did she win.

To proof

Let us assume that the total amount prize money did she win be u.

As given

Mrs.Gill won certain prize money in a cooking competition.

She spent half of the prize money on the clothes

$= u -\frac{u}{2}\\ = \frac{u}{2}$

one third on grocery

$= \frac{u}{2} -\frac{u}{3}$

(L.C.M of (2,3) =6 )

$= \frac{3u -2u}{6} \\=\frac{u}{6}$

gave away the remaining Rs.2000 to an orphanage

$2000 = \frac{u}{6}$

u =Rs 12000

Rs 12000 prize money did she win.

Hence proved

6 0

4 years ago

Simplify the expression 2(10) + 2(x - 4)