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Viefleur [7K]
3 years ago
8

Anna has made 30 chocolate chip cookies and 54 sugar cookies. She wants to put them in bags for her friends with the same number

of cookies in each​ bag, the same kind of cookies in each​ bag, and no cookies left over. What is the greatest number of cookies she can put in each​ bag?
Mathematics
1 answer:
NARA [144]3 years ago
5 0

Answer:

Therefore the greatest number of cookies she can put each bag is 14.

Step-by-step explanation:

Given that Anna has made 30 chocolate chip cookies and 54 sugar cookies.

First we have to find out the number of fried or the number of bags.

So to find the number of bags, We need to find out the G.C.D of 30 and 54.

30=5×3×2

54=3×3×3×2

The common divisor of 30 and 54 is = 3×2 = 6

∴The  G.C.D of 30 and 54 is 6.

The number of bags is 6.

The number of chocolate cookies each bags is

=(The number of chocolate cookies÷ 6)

=30÷6

=5

The number of sugar cookies each bags is

=(The number of sugar cookies÷ 6)

=54÷6

=9

Therefore the greatest number of cookies she can put each bag is (5+9)=14.

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What is the sum of 20x^2-10x-30
ivann1987 [24]

Answer:

The sum of the roots is 0.5

Step-by-step explanation:

<u><em>The correct question is</em></u>

What is the sum of the roots of 20x^2-10x-30

we know that

In a quadratic equation of the form

ax^{2} +bx+c=0

The sum of the roots is equal to

-\frac{b} {a}

in this problem we have

20x^{2} -10x-30=0  

so

a=20\\b=-10\\c=-30

substitute

-\frac{(-10)} {20}=0.5

<u><em>Verify</em></u>

Find the roots of the quadratic equation

The formula to solve a quadratic equation is equal to

x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}

a=20\\b=-10\\c=-30

substitute

x=\frac{-(-10)\pm\sqrt{-10^{2}-4(20)(-30)}} {2(20)}

x=\frac{10\pm\sqrt{2,500}} {40}

x=\frac{10\pm50} {40}

x=\frac{10+50} {40}=1.5

x=\frac{10-50} {40}=-1

The roots are x=-1 and x=1.5

The sum of the roots are

-1+1.5=0.5 ----> is ok

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henry is mixing concrete. to make concrete he needs to mix cement, sand and gravel in the ratio 5 : 4 : 1 by weight. henry needs
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He requires 55Kg of concrete but only has 50Kg.

He requires 44Kg of sand and has 55Kg

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Thus he is 5Kg short of cement.

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