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serious [3.7K]
3 years ago
15

Maya has 5 over 6 cup of ice cream. How many 1 over 4-cup servings are in 5 over 6 cup of ice cream? ASAP I need help

Mathematics
1 answer:
Ierofanga [76]3 years ago
8 0

Answer:

Find the LCD (least common denominator)

{5}/{6}  and  {1}/{4}  

it would be 12 (6x2=12 and 4x3=12)

so you multiply  {5}/{6}  by 2 and get {10}/{12}  

then multiply  {1}/{4}  by 3 and get  {3}/{12}  

you get 3 WHOLE servings from {5}/{6}  cups of icecream

Step-by-step explanation:

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Look at the picture.

E\left(\dfrac{-5+1}{2};\ \dfrac{2+6}{2}\right)\to E\left(\dfrac{-4}{2};\ \dfrac{8}{2}\right)\to E(-2;\ 4)

\vec{BE}=[-2-(-6);\ 4-10]=[4;\ -6]

D(x;\ y)\\\\\vec{ED}=[x-(-2);\ y-4]=[x+2;\ y-4]\\\\\vec{ED}=\vec{BE}\ therefore\\\\ \ [x+2;\ y-4]=[4;\ -6]\to x+2=4\ and\ y-4=-6\\\\x=2\ and\ y=-2\\\\Answer:\ \boxed{A.\ (2;\ -2)}

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3 years ago
Find the median of the data.
kipiarov [429]

Answer:

  • 92.5

Step-by-step explanation:

<u>The data given:</u>

  • 93, 81, 94, 71, 89, 92, 94, 99

<u>Put the data in the ascending order:</u>

  • 71, 81, 89, 92, 93, 94, 94, 99

<u>Since the data size is even, the median is the average of middle two:</u>

  • median = (92 + 93)/2 = 92.5

4 0
2 years ago
Help me solve C=AB+D for B.​
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Find the approximate side length of a square game board with an area of 123 inches to the second power
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3 years ago
Simplify the expression state any excluded values<br> 2a^2-4a+2<br> ---------------<br> 3a^2-3
chubhunter [2.5K]

Answer:

The simplified form is \dfrac{2(x-1)}{3(x+1)}.

x =1 is the excluded value for the given expression.

Step-by-step explanation:

Given:

The expression given is:

\dfrac{2a^2-4a+2}{3a^2-3}

Let us simplify the numerator and denominator separately.

The numerator is given as 2a^2-4a+2

2 is a common factor in all the three terms. So, we factor it out. This gives,

=2(a^2-2a+1)

Now, a^2-2a+1=(a-1)(a-1)

Therefore, the numerator becomes 2(a-1)(a-1)

The denominator is given as: 3a^2-3

Factoring out 3, we get

3(a^2-1)

Now, a^2-1 is of the form a^2-b^2=(a-b)(a+b)

So, a^2-1=(a-1)(a+1)

Therefore, the denominator becomes 3(a-1)(a+1)

Now, the given expression is simplified to:

\frac{2a^2-4a+2}{3a^2-3}=\frac{2(x-1)(x-1)}{3(x-1)(x+1)}

There is (x-1) in the numerator and denominator. We can cancel them only if x\ne1 as for x=1, the given expression is undefined.

Now, cancelling the like terms considering x\ne1, we get:

\dfrac{2a^2-4a+2}{3a^2-3}=\dfrac{2(x-1)}{3(x+1)}

Therefore, the simplified form is \dfrac{2(x-1)}{3(x+1)}

The simplification is true only if  x\ne1. So, x =1 is the excluded value for the given expression.

8 0
3 years ago
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