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velikii [3]
3 years ago
13

7B2%7D%20" id="TexFormula1" title="3 \frac{1}{2} + 2 \frac{1}{4} - 1 \frac{1}{2} " alt="3 \frac{1}{2} + 2 \frac{1}{4} - 1 \frac{1}{2} " align="absmiddle" class="latex-formula">
​
Mathematics
1 answer:
Svetach [21]3 years ago
5 0

Answer:

Step-by-step explanation:

Step 1: Convert into improper fractions

Step 2: Find  least common denominator and find equivalent fractions

Step 3 : Do the required operation

3\frac{1}{2}+2\frac{1}{4}-1\frac{1}{2}=\frac{7}{2}+\frac{9}{4}-\frac{3}{2}\\

Least common denominator of 2 , 4 = 4

   =\frac{7*2}{2*2}+\frac{9}{4}-\frac{3*2}{2*2}\\\\=\frac{14}{4}+\frac{9}{4}-\frac{6}{4}\\\\=\frac{14+9-6}{4}\\\\=\frac{17}{4}\\\\=4\frac{1}{4}

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MArishka [77]

Answer:

y =54

Step-by-step explanation:

2(3)^3 - substitute x for 3, then find cube of 3( 3×3×3)

2×27

54

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6 0
3 years ago
What is the solution to the system of equations below? y = 1/4x + 2 and 3y = - 3/4x -6
lord [1]

Answer:

<h2>x = -8 and y= 0 → (-8, 0)</h2>

Step-by-step explanation:

\left\{\begin{array}{ccc}y=\dfrac{1}{4}x+2&(1)\\3y=-\dfrac{3}{4}x-6&(2)\end{array}\right\\\\\text{Substitute (1) to (2):}\\\\3\left(\dfrac{1}{4}x+2\right)=-\dfrac{3}{4}x-6\qquad\text{use the distributive property}\\\\(3)\left(\dfrac{1}{4}x\right)+(3)(2)=-\dfrac{3}{4}x-6\\\\\dfrac{3}{4}x+6=-\dfrac{3}{4}x-6\qquad\text{subtract 6 from both sides}\\\\\dfrac{3}{4}x=-\dfrac{3}{4}x-12\qquad\text{add}\ \dfrac{3}{4}x\ \text{to both sides}\\\\\dfrac{6}{4}x=-12\qquad\text{multiply both sides by 4}\\\\6x=-48\qquad\text{divide both sides by 6}\\\\x=-8

\text{Put the value of x to (1):}\\\\y=\dfrac{1}{4}(-8)+2\\\\y=-2+2\\\\y=0

7 0
3 years ago
8 hundreds + 2 hundreds in standard form
jekas [21]
In standard form:
800+200
=1,000
5 0
4 years ago
Read 2 more answers
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Irina-Kira [14]

Answer:

x<15

Step-by-step explanation:

5 0
3 years ago
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Angelo has a garden in the shape of rectangle. The area of the garden is 71.34 square meters, and the length of the garden is 12
Oksana_A [137]
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71.34 divided by 12.3 = 5.8


So Angelo would have to purchase 5.8 meters of fencing for the section of fence that needs to be replaced.



Hope this helps!!
5 0
4 years ago
Read 2 more answers
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