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igor_vitrenko [27]
3 years ago
11

#7 Cecilia made a fruit basket for her grandmother. There were 3 bananas and 6 oranges in the basket. What is the ratio of the n

umber of bananas to the number of oranges in Cecilia's fruit
basket?

A. 1:2
B. 2:1
C. 9:3
D. 3:9
Mathematics
2 answers:
castortr0y [4]3 years ago
4 0
The answer is A.

explanation:

the obvious ratio is 3:6, because there are 3 bananas and 6 oranges. if you simplify 3:6 it’s 1:2.

hope i helped :)
dezoksy [38]3 years ago
3 0
USF has a pizza part and there are 2.75 pizza remaining.michael stays after school to finish the pizza. If he can eat 0.75 pizzas an hour,and there are 2.25 hours left until mr.p has leave to go home,will Michael be able to eat all the pizzas before the teacher leaves? Justify your answer.
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The sum of two numbers is 52 . The larger number is 12 more than the smaller number. What are the numbers?
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6 0
3 years ago
3x + 2y = 9 x - 4y = 4
kherson [118]

Answer:

Enter a problem...

Algebra Examples

Popular Problems Algebra Solve by Substitution 3x-4y=9 , -3x+2y=9

3

x

−

4

y

=

9

,

−

3

x

+

2

y

=

9

Solve for

x

in the first equation.

Tap for more steps...

x

=

3

+

4

y

3

−

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+

2

y

=

9

Replace all occurrences of

x

in

−

3

x

+

2

y

=

9

with

3

+

4

y

3

.

x

=

3

+

4

y

3

−

3

(

3

+

4

y

3

)

+

2

y

=

9

Simplify

−

3

(

3

+

4

y

3

)

+

2

y

.

Tap for more steps...

x

=

3

+

4

y

3

−

9

−

2

y

=

9

Solve for

y

in the second equation.

Tap for fewer steps...

Move all terms not containing

y

to the right side of the equation.

Tap for more steps...

x

=

3

+

4

y

3

−

2

y

=

18

Divide each term by

−

2

and simplify.

Tap for more steps...

x

=

3

+

4

y

3

y

=

−

9

Replace all occurrences of

y

in

x

=

3

+

4

y

3

with

−

9

.

x

=

3

+

4

(

−

9

)

3

y

=

−

9

Simplify

3

+

4

(

−

9

)

3

.

Tap for more steps...

x

=

−

9

y

=

−

9

The solution to the system of equations can be represented as a point.

(

−

9

,

−

9

)

The result can be shown in multiple forms.

Point Form:

(

−

9

,

−

9

)

Equation Form:

x

=

−

9

,

y

=

−

9

image of graph

7 0
3 years ago
What do the numbers listed for an element on the periodic table represent?
maria [59]
Im sure you have your answer by now but would you mind posting the answer
8 0
3 years ago
<img src="https://tex.z-dn.net/?f=%20%5Csqrt%7Bx%20%5Csqrt%7Bx%20%5Csqrt%7Bx%20%5Csqrt%7Bx....%7D%20%7D%20%7D%20%7D%20%20%3D%20%
andrey2020 [161]

First observe that if a+b>0,

(a + b)^2 = a^2 + 2ab + b^2 \\\\ \implies a + b = \sqrt{a^2 + 2ab + b^2} = \sqrt{a^2 + ab + b(a + b)} \\\\ \implies a + b = \sqrt{a^2 + ab + b \sqrt{a^2 + ab + b(a+b)}} \\\\ \implies a + b = \sqrt{a^2 + ab + b \sqrt{a^2 + ab + b \sqrt{a^2 + ab + b(a+b)}}} \\\\ \implies a + b = \sqrt{a^2 + ab + b \sqrt{a^2 + ab + b \sqrt{a^2 + ab + b \sqrt{\cdots}}}}

Let a=0 and b=x. It follows that

a+b = x = \sqrt{x \sqrt{x \sqrt{x \sqrt{\cdots}}}}

Now let b=1, so a^2+a=4x. Solving for a,

a^2 + a - 4x = 0 \implies a = \dfrac{-1 + \sqrt{1+16x}}2

which means

a+b = \dfrac{1 + \sqrt{1+16x}}2 = \sqrt{4x + \sqrt{4x + \sqrt{4x + \sqrt{\cdots}}}}

Now solve for x.

x = \dfrac{1 + \sqrt{1 + 16x}}2 \\\\ 2x = 1 + \sqrt{1 + 16x} \\\\ 2x - 1 = \sqrt{1 + 16x} \\\\ (2x-1)^2 = \left(\sqrt{1 + 16x}\right)^2

(note that we assume 2x-1\ge0)

4x^2 - 4x + 1 = 1 + 16x \\\\ 4x^2 - 20x = 0 \\\\ 4x (x - 5) = 0 \\\\ 4x = 0 \text{ or } x - 5 = 0 \\\\ \implies x = 0 \text{ or } \boxed{x = 5}

(we omit x=0 since 2\cdot0-1=-1\ge0 is not true)

3 0
1 year ago
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