<span> 3/4-4z+5/4z-1/2+1/2z </span>Final result : 1 - 9z
——————
4
Step by step solution :<span>Step 1 :</span> 1
Simplify —
2
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<span>Equation at the end of step 1 :</span> 3 5 1 1
(((—-4z)+(—•z))-—)+(—•z)
4 4 2 2
<span>Step 2 :</span> 1
Simplify —
2
<span>Equation at the end of step 2 :</span> 3 5 1 z
(((—-4z)+(—•z))-—)+—
4 4 2 2
<span>Step 3 :</span> 5
Simplify —
4
<span>Equation at the end of step 3 :</span> 3 5 1 z
(((—-4z)+(—•z))-—)+—
4 4 2 2
<span>Step 4 :</span> 3
Simplify —
4
<span>Equation at the end of step 4 :</span> 3 5z 1 z
(((— - 4z) + ——) - —) + —
4 4 2 2
<span>Step 5 :</span>Rewriting the whole as an Equivalent Fraction :
<span> 5.1 </span> Subtracting a whole from a fraction
Rewrite the whole as a fraction using <span> 4 </span> as the denominator :
<span> 4z 4z • 4
4z = —— = ——————
1 4 </span>
Answer:
y>0.5
Step-by-step explanation:
Rearrange the equation so "y" is on the left and everything else on the right.
Plot the "y=" line (make it a solid line for y≤ or y≥, and a dashed line for y< or y>
Shade above the line for a "greater than" (y> or y≥)
or below the line for a "less than" (y< or y≤).
y+x>1
-y -y
x>1-y
2x+y<3
-y -y
2x<3-y
divide by 2
x<1.5-y/2
1.5-y/2>1-y
-1.5+y -1.5+y
<u>y>0.5</u>
Let the number be x.
First student increased the number by 23, therefore
⇒ x + 23
Second student decreased the number by 1, therefore
⇒ x - 1
The first student's result was 7 times greater than the result of the second student's, therefore
⇒ x + 23 = 7(x - 1)
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Solve for x:
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x + 23 = 7( x- 1)
x + 23 = 7x - 7
6x = 30
x = 5
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Answer: The number on the board is 5.
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