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erica [24]
3 years ago
10

Maria and jane bought a whole pizza pie. marie ate 1/5 of the pie and jane ate 1/4 of the pie. write a number sentence to find o

ut how much is left and solve it
Mathematics
1 answer:
Papessa [141]3 years ago
8 0
Eleven Twentieths of the pie are left, so that's 11/20

Method to solve; 
Since its given a 1/4 and a 1/5 it's easiest to convert these to twentieths (the lowest common multiple of 4 and 5)
So 1/4= 5/20
      1/5 = 4/20
How much is eaten = 5/20 + 4/20 = 9/20
How much remains = Total (20/20) - How much eaten (9/20) = 11/20
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There is a bag filled with 6 blue and 5 red marbles.
s344n2d4d5 [400]

Answer:

1/11

Step-by-step explanation:

probability =total number of items ÷ 1

=11÷1

=1/11

8 0
2 years ago
Cos ( α ) = √ 6/ 6 and sin ( β ) = √ 2/4 . Find tan ( α − β )
Zina [86]

Answer:

\purple{ \bold{ \tan( \alpha  -  \beta ) = 1.00701798}}

Step-by-step explanation:

\cos( \alpha ) =  \frac{ \sqrt{6} }{6}  =  \frac{1}{ \sqrt{6} }  \\  \\  \therefore \:  \sin( \alpha )  =  \sqrt{1 -  { \cos}^{2} ( \alpha ) }  \\  \\  =  \sqrt{1 -  \bigg( {\frac{1}{ \sqrt{6} } \bigg )}^{2} }  \\  \\ =  \sqrt{1 -  {\frac{1}{ {6} }}}  \\  \\ =  \sqrt{ {\frac{6 - 1}{ {6} }}}   \\  \\  \red{\sin( \alpha ) =  \sqrt{ { \frac{5}{ {6} }}} } \\  \\  \tan( \alpha ) =  \frac{\sin( \alpha ) }{\cos( \alpha ) }  =  \sqrt{5}  \\  \\ \sin( \beta )  =  \frac{ \sqrt{2} }{4}  \\  \\  \implies \: \cos( \beta )  =   \sqrt{ \frac{7}{8} }  \\  \\ \tan( \beta )  =  \frac{\sin( \beta ) }{\cos( \beta ) } =  \frac{1}{ \sqrt{7} }   \\  \\  \tan( \alpha  -  \beta ) =  \frac{ \tan \alpha  -  \tan \beta }{1 +  \tan \alpha .  \tan \beta}  \\  \\  =  \frac{ \sqrt{5} -  \frac{1}{ \sqrt{7} }  }{1 +  \sqrt{5} . \frac{1}{ \sqrt{7} } }  \\  \\  =  \frac{ \sqrt{35} - 1 }{ \sqrt{7}  +  \sqrt{5} }  \\  \\  \purple{ \bold{ \tan( \alpha  -  \beta ) = 1.00701798}}

8 0
3 years ago
Sail with the equation by completing the square x^2+8x=-3
maxonik [38]

Answer:

The solutions are x=-4(+/-)\sqrt{13}

Step-by-step explanation:

we have

x^{2} +8x=-3

Complete the square. Remember to balance the equation by adding the same constants to each side

x^{2} +8x+16=-3+16

x^{2} +8x+16=13

Rewrite as perfect squares

(x+4)^{2}=13

square root both sides

x+4=(+/-)\sqrt{13}

x=-4(+/-)\sqrt{13}

5 0
3 years ago
The ratio of red paint to blue paint is 2:1. What does the ratio 2:1 mean?
Artemon [7]
This means the for every 2 units of red paint, there is 1 unit of blue paint
exg
in a mixture, mix a red and blue paint to get a type of purple that is the ratio of 2:1 (red:blue)
so exg if you wanted 3 gallons you would do 2 gallons of red+1 gallon of blue since 2+1=3
it could also mean quantity
there are 2 tiles painted red for every 1 tile painted blue resulting in 2 unit of red paint to 1 unit of blue

4 0
4 years ago
I need the answer ASAP
3241004551 [841]

Answer:

Hey there!

The answer is 2 1/4, which is 2.25

Let me know if you have any other questions!

5 0
3 years ago
Read 2 more answers
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