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Rus_ich [418]
3 years ago
5

Breanna thought of a number, added 6 to it, multiplied it by 6, subtracted 6 from her answer, and then divided it by 6. She got

a final number of 10. What was her starting number?
Mathematics
1 answer:
ss7ja [257]3 years ago
8 0

Answer:5

Step-by-step explanation:

If you look at the question in reverse you can backtrack your way through. Take 10 and instead of dividing, multiply it by 10, which is 60, add 6 instead of subtracting, which is 66, divide by 6 instead of multiplying, which is 11 and finally subtract 6 instead of adding, which is 5. Use five and try the question over to make sure you calculated correct.

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What is the probability of rolling one dice and rolling a 5 or 6?<br> 1/6<br> 1/3<br> 1/2<br> 1/4
inn [45]

Answer:

1/3

Step-by-step explanation:

There are 6 sides on a dice. These are two of the possibilities. 2/6 is the same as 1/3.

5 0
3 years ago
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Which of the following is equivalent to log34
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4 0
3 years ago
H^2+14h=-31 Solve by completing the square
matrenka [14]
Since the constant has been moved to the left side, you can move on to the next step which is adding (b/2)² to both sides of the equation.

h² + 14h + (14/2)² = -31 + (14/2)²

Simplify the parenthesis and exponent.

h² + 14h + 7² = -31 + 7²

h² + 14h + 49 = -31 + 49

h² + 14h + 49 = 18

Factor the expression of the left.

(h + 7)(h + 7) = 18

Take the square root of both sides.

√(h + 7)(h + 7) = ± √9 • 2

(h + 7) = ± 3√2

h + 7 = ± 3√2

Subtract 7 from both sides.

You solutions are:

h = -7 + 3√2 → -2.7573 → -2.76

h = -7 - 3√2 → -11.2426 → -11.24
5 0
3 years ago
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A farmer plans to fence a rectangular corral. The diagonal distance from one corner of the corral to the opposite corner is five
garik1379 [7]

Answer:

Length of diagonal is 7.3 yards.

Step-by-step explanation:

Given: The diagonal distance from one corner of the corral to the opposite corner is five yards longer than the width of the corral. The length of the corral is three times the width.

To find: The length of the diagonal of the corral.

Solution: Let the width of the rectangular garden be <em>x</em> yards.

So, the length of the diagonal is x+5

width of the rectangular corral is 3x

We know that the square of the diagonal is sum of the squares of the length and width.

So,

(3x)^{2} +x^{2} =(x+5)^{2}

9x^{2} +x^{2} =x^{2}+10x+25

9x^{2}-10x-25=0

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x=\frac{10\pm\sqrt{(-10)^{2} -4(9)(-25)} }{2(9)}

x=\frac{10\pm\sqrt{100}}{18}

Since, side can't be negative.

x=\frac{5}{9}+\frac{5}{9}\sqrt{10}

Now, length of the diagonal is

5+\frac{5}{9}+\frac{5}{9}\sqrt{10}

Hence, length of diagonal is 7.3 yards.

4 0
3 years ago
A lawn care service charges a $15 equipment fee plus $10 per hour. For x number of hours, they charge y=10x+15 . Susan found a d
rusak2 [61]

Answer:

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Step-by-step explanation:

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