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Serga [27]
3 years ago
9

One number is six times as large as another. The sum of their reciprocal is 7. What are the numbers

Mathematics
1 answer:
RideAnS [48]3 years ago
5 0
X=6y

sum of their reciprocals
(1/x)+(1/y)=7
x=6y
1/6y+1/y=7
1/6y+6/6y=7
7/6y=7
times both sides by 6y
7=42y
divide both sides by 42
1/6=y

x=6y
x=6(1/6)
x=6/6
x=1

the numbers are 1 and 1/6
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Bridget purchased 3 pairs of shoes online. The total bill of $126.81 included a $7.50 shipping charge and 6% tax on the total pu
Alika [10]

Answer:

$37.

Step-by-step explanation:

Firstly, let's set the price of each pair of shoe to be x.

Since each pair of shoes costs the same, and there are three pairs, we can set the original price to be 3x.

Now, to apply the shipping charge, all we have to do is add 7.50 to 3x, getting 3x + 7.5.

Next, to apply a 6% tax, we can multiple the whole expression by (100% + 6%), getting (3x + 7.5) \cdot 106%.

Since the whole bill foots to a total of $126.81, we can set the final equation to be:

(3x + 7.5) \cdot 106\% = $126.81

(3x + 7.5) \cdot \frac{106}{100} = $126.81

3x + 7.5 = $126.81 \cdot \frac {50}{53}

3x = $119.6 - 7.5

3x = 112.1

x \approx \$37

Hope this helped!

6 0
3 years ago
Solve for a.<br> a^2=-3a+88
Sergio [31]

Answer:

a=8,-11

Step-by-step explanation:

a^2=-3a+88

a^2+3a=88

a^2+3a-88=0

x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}

x=\frac{-3\pm\sqrt{3^2-4(1)(-88)} }{2(1)}

x=\frac{-3\pm\sqrt{9+352} }{2}

x=\frac{-3\pm\sqrt{361} }{2}

x=\frac{-3\pm19 }{2}

x=-11 and x=8

Therefore, the values of a are 8 and -11.

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Answer:

b

Step-by-step explanation:

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In short answer $52 
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