Answer:
Step-by-step explanation:
Let "x" be the number.
Product of 6 and x (6*x), increased by 4 = 
Product of 12 and x, (12*x), decreased by 20 = 
.
Set both expressions equal to each other and solve for x as shown below:
(equation)
Subtract 12 from both sides
Subtract 4 from both sides
Divide both sides by -6
Answer: 1. 2 cups of raisins 2. 3 bags of snack mix 3. 5 cups of crackers 4. 4 bags of snack mix
Step-by-step explanation:
Answer:
<em>x = 110° ; y = 49°</em>
Step-by-step explanation:
m∠ABD = m∠ADB = 35° ⇒ <em>x</em> = 180° - 2 × 35° = <em>110°</em>
m∠CDB = m∠CBD = 2y ⇒ <em>y</em> = (180° - 82°) ÷ 2 = <em>49°</em>
Answer:both 1 and 2 are correct
Step-by-step explanation:
Let the cosecutive numbers be like this :
2n + 1 , 2n + 2 , 2n + 3 , 2n + 4 , 2n + 5
Odd , Even , Odd , Even , Odd
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So we have :
(2n+1)+(2n+3)+(2n+5)=(2n+2)+(2n+4) + 39
6n + 9 = 4n + 6 + 39
6n + 9 = 4n + 45
Subtract both sides 9
6n + 9 - 9 = 4n + 45 - 9
6n + 0 = 4n + 36
6n = 4n + 36
Subtract both sides 4n
6n - 4n = 4n - 4n + 36
2n = 0 + 36
2n = 36
Divide both sides by 2
2n ÷ 2 = 36 ÷ 2
<em>n</em><em> </em><em>=</em><em> </em><em>1</em><em>8</em><em> </em>
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So the numbers are :
2(18)+1 , 2(18)+2 , 2(18)+3 , 2(18)+4 , 2(18)+5
36 + 1 , 36 + 2 , 36 + 3 , 36 + 4 , 36 + 5
37 , 38 , 39 , 40 , 41
As u can see the Odd numbers are :
37 , 39 , 41
And we're done ...
