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Rudik [331]
2 years ago
11

Solve the proportion 2x+1/6 = 7/9

Mathematics
1 answer:
Paul [167]2 years ago
8 0

Answer: x=11/36

Step-by-step explanation:

Step One-Subtract 1/6 from both sides.

2x+1/6-1/6=7/9-1/6

2x=11/18

Step Two-Divide both sides by 2.

2x/2=11/18/2

x=11/36.

My math might not be correct, sorry if it is. In addition, my explanation is a bit confusing, so sorry about that too.

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Find the sum of the equation
stealth61 [152]

Answer:

\frac{{y}^{2}+13y-6}{{(y-1)}^{2}(y+7)}

Step-by-step explanation:

1)  Rewrite {y}^{2}-2y+1y  in the form{a}^{2}-2ab+{b}^{2}, where a = y and b = 1.

\frac{y}{{y}^{2}-2(y)(1)+{1}^{2}}+\frac{6}{{y}^{2}+6y-7}

2)  Use Square of Difference: {(a-b)}^{2}={a}^{2}-2ab+{b}^{2}.

\frac{y}{{(y-1)}^{2}}+\frac{6}{{y}^{2}+6y-7}

3)  Factor {y}^{2}+6y-7.

1 - Ask: Which two numbers add up to 6 and multiply to -7?

-1 and 7

2 - Rewrite the expression using the above.

(y-1)(y-7)

Outcome/Result: \frac{y}{(y-1)^2} +\frac{6}{(y-1)(y+7)}

4) Rewrite the expression with a common denominator.

\frac{y(y+7)+6(y-1)}{{(y-1)}^{2}(y+7)}

5)  Expand.

\frac{{y}^{2}+7y+6y-6}{{(y-1)}^{2}(y+7)}

6) Collect like terms.

\frac{{y}^{2}+(7y+6y)-6}{{(y-1)}^{2}(y+7)}

7) Simplify  {y}^{2}+(7y+6y)-6y  to  {y}^{2}+13y-6y

\frac{{y}^{2}+13y-6}{{(y-1)}^{2}(y+7)}

5 0
2 years ago
Read 2 more answers
A large emerald with a mass of 378.24 grams was recently discovered in a mine. If the density of the emerald is 2.76 grams over
stepan [7]

Answer:

  • 137.04 cm³

Step-by-step explanation:

  • Mass = Density*Volume
  • V = m/d
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5 0
2 years ago
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Use f (x)=7 and g (x)=x+5 to evaluate (f+g)(3)=
dangina [55]
(f+g)(3)=f(3)+g(3)

f(x)=7 so f(3)=7
g(x)=x+5 so g(3)=3+5=8

(f+g)(3)=f(3)+g(3)=7+8=15
4 0
2 years ago
1. Lois has 10 coins in quarters and dimes in their pocket. After counting, the total value is $1.45. How many of each coin did
Jet001 [13]

Answer:

5 quarters and 2 dimes

Step-by-step explanation:

5 quarters make 1.25 + 10 cents = 1.45

3 0
3 years ago
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One fabric cost $15.00 for 2 yards. Another cost $37.50 for 5 yards. Do both yards cost the same? Explain.
omeli [17]

Answer:

Yes.

Step-by-step explanation:

Both yards do cost the same.

$15.00 divided by 2 is equal to 7.5.

$37.50 divided by 5 is equal to 7.5.

Therefore, both yards cost the same.

3 0
3 years ago
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