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lozanna [386]
3 years ago
11

Jonah is thinking of a two digit number. It is a multiple of 6 and 12. It is a factor 108. The sum of his digits is 9. What numb

er is jonah thinking of?
Mathematics
1 answer:
erik [133]3 years ago
3 0
The answer is 36. 36 is two digits, 3 and 2, it is a multiple of 6 and 12: 6 times 6 equals 36 and 12 times 3 equals 36, it is a factor of 108: 36 times 3 equals 108, and 36 has digits that equal to 9: 3 plus 6 equals 9.
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A board game that normally costs $30 is on sale for 25 percent off. What is the sale price of the game?
Allushta [10]


find the discount

$30 x 0.25 = $7.50 discount of 25% off

subtract the discount  $30 - $7.50 = $22.50


The sale price of the game is $22.50.

4 0
3 years ago
Read 2 more answers
Your friend is wrapping 1 meter of twine around a spool with a 2-centimeter diameter. The spool is thin and accommodates only on
Kazeer [188]

Answer:

a) 6 complete times

b) 19.3%

Step-by-step explanation:

In every turn, the diameter of the twine increases 1 cm.

After the first turn, there is a total wrapped of 3.14*2=6.3 cm.

After the second turn, we have wrapped 6.3+3.14*(2+1)=15.7 cm.

If we continue with these algorithm, we have that after the 6th turn we have 84.8 cm wrapped. <em>This is the last complete turn.</em>

T = 0 D = 2 cm. Wrapped = 6.3 cm. Total wrapped = 6.3 cm.

T = 1         D = 3 cm. Wrapped = 9.4 cm. Total wrapped = 15.7 cm.

T = 2 D = 4 cm. Wrapped = 12.6 cm. Total wrapped = 28.3 cm.

T = 3 D = 5 cm. Wrapped = 15.7 cm. Total wrapped = 44 cm.

T = 4 D = 6 cm. Wrapped = 18.8 cm. Total wrapped = 62.8 cm.

T = 5 D = 7 cm. Wrapped = 22.0 cm. Total wrapped = 84.8 cm.

T = 6 D = 8 cm. Wrapped = 25.1 cm. Total wrapped = 110 cm.

There are left (100-84.8) = 15.2 cm to wrap around the twine, which has a 25.1 cm diameter by now.

The perimeter of the twine is 3.14*25.1=78.8 cm.

The percentage of a complete circle that the last wrapping of the twine will make is:

P = 15.2/78.8 = 0.193 = 19.3%

4 0
3 years ago
Find the future value and interest earned if $8906.54 is invested for 9 years at 6% compounded continuously 
dalvyx [7]
To find the future value the formula is
A=p e^rt
A future value?
P present value 8906.54
R interest rate 0.06
T time 9 years
E constant
A=8,906.54×e^(0.06×9)
A=15,283.68

To find the interest earned the formula is
I=A-p
I=15,283.68−8,906.54
I=6,377.14
4 0
3 years ago
Match the real-world problem to its constant of proportionality.
irakobra [83]

Answer:

a. $18.36 for 3 pizzas  :  k  = 6.12

b. $4.17 for 3 pounds of bananas .   k  = 1.39

c. $16.48 for 4 pounds of potatoes .  k  = 4.12

d. 2 cups of flour to make 24 cookie .  k  = 12

Step-by-step explanation:

PROPORTIONALITY:

Two quantities x and y are said to proportional to each other

if for x ∝ y , x = y k.

Here, k is called the PROPORTIONALITY CONSTANT.

⇒x \propto y \implies k = \frac{x}{y}  

Now, for the given quantities:

a.  $18.36 for 3 pizzas [box]    

Here, k = \frac{x}{y} = \frac{18.36}{3}  = 6.12

So, the proportionality constant is 6.12.

b. $4.17 for 3 pounds of bananas [box]

Here, k = \frac{x}{y} = \frac{4.17}{3}  = 1.39

So, the proportionality constant is 1.39.

c. $16.48 for 4 pounds of potatoes [box]

Here, k = \frac{x}{y} = \frac{16.48}{4}  = 4.12

So, the proportionality constant is 4.12.

d. 2 cups of flour to make 24 cookies

Here,  k = \frac{x}{y} = \frac{24}{2}  = 12

So, the proportionality constant is 12.

7 0
3 years ago
<img src="https://tex.z-dn.net/?f=x%20%2B%20y%20%20%3D%2014%5C%5C%202x%20%2B%204y%20%3D%2018" id="TexFormula1" title="x + y = 1
alexgriva [62]

Answer:

x = 19, y = -5

Step-by-step explanation:

x + y = 14  => x= 14-y

2x + 4y = 18  => 2(x+2y)=18  => x+2y=9

x+2y=9 => (14 - y) + 2y = 9

14 + y = 9  => y = -5

x + (-5) = 14  => x=19

5 0
2 years ago
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