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3 years ago

Mrs. Smith had 4/6 of a carton of eggs. she dropped a fourth of the eggs. how many eggs was left

Mathematics

1 answer:

xz_007 [3.2K]3 years ago

6 0

First, let's get out common denominators.

8/12 and 3/12.

We then minus the 8 and 3 = 5/12.

We have 5/12.

That's your answer.

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Find the positive value of x in the geometric sequence 7x-2,4x+4,3x

Goryan [66]

Hello,

Let's assume k the ratio.

$
 \left \{ {{3x=k*(4x+4)} \atop {4x+4=k*(7x-2)}} \right. \\\\
 \left \{ {{3x-4kx=4k} \atop {4x-7kx=-2k-4}} \right. \\\\
 \left \{ {{x(3-4k)=4k} \atop {x(4-7k)=-2k-4}} \right. \\\\
 \left \{ {{x=\dfrac{4k}{3-4k} \atop {x=\dfrac{-2k-4}{4-7k} \right. \\\\

\dfrac{4k}{3-4k}=\dfrac{-2k-4}{4-7k}\\\\

36k^2-6k-12=0\\
6k^2-k-2=0\\

\boxed{k= \dfrac{2}{3} \ or\ k= -\dfrac{1}{2}}\\\\

x=\dfrac{4*\dfrac{2}{3} }{3-4*\dfrac{2}{3} }=8\\
x=\dfrac{4*\dfrac{-1}{2} }{3-4*\dfrac{-1}{2} }=-\dfrac{2}{5}\\





$

$\boxed{x= 8 \ or\ x= -\dfrac{2}{5}}\\\\$

5 0

3 years ago

The formula below gives T, the approximate time in years it takes a population to double if the annual growth rate is r percent.

matrenka [14]

The answer is
T=70/r=70/ 24/100=100*70/24=7000/24=291.6
T=291.6

4 0

3 years ago

What are the roots of x^2-4x+4?

Bezzdna [24]

The roots are just the zero value of the formula. To find these, we factor:

(x - 2)(x - 2)

(x - 2)^2

to make this into a zero, we set x-2 = 0, then solve for x

x = 2

If x = 2, then the brackets = 0, and those are the roots

The roots are x = 2

Leave a comment if you couldn’t understand, and I’ll try to answer.

3 0

3 years ago

Read 2 more answers

What is the gfc of 32 and 45? Help me fast I’m giving out 30 points.

lisov135 [29]

Answer:

Step-by-step explanation:

1 can be the only thing. 2,3,4,5,6,7,8,9 don't go in 45 and 32

32/2= 16

45/2= gives a decimal

45/9= 5

32/9= gives us a decimal.

only 1 can go into both

so answer is 1

7 0

3 years ago

Read 2 more answers

Simplify \sqrt{18x^7}

Slav-nsk [51]

$\bf \sqrt{18x^7}\qquad 
\begin{cases}
18\\
\qquad 2\cdot 3\cdot 3\\
\qquad 2\cdot 3^2\\
x^7\\
\qquad x^{2+2+2+1}\\
\qquad x^2\cdot x^2\cdot x^2\cdot x^1\\
\qquad (x^2)^3x^1\\
\qquad (x^3)^2x^1
\end{cases}\implies \sqrt{2\cdot 3^2\cdot (x^3)^2\cdot x}
\\\\\\
3\cdot x^3\sqrt{2\cdot x}\implies 3x^3\sqrt{2x}$

5 0

3 years ago

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Mrs. Smith had 4/6 of a carton of eggs. she dropped a fourth of the eggs. how many eggs was left​

Mrs. Smith had 4/6 of a carton of eggs. she dropped a fourth of the eggs. how many eggs was left