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frozen [14]
3 years ago
7

Along the highway, the children see a sign stating that. Old towne is 36 1/3 miles away and bridgeway is 52 1/4 miles away. How

far is it from old towne to bridgeway
Mathematics
1 answer:
shutvik [7]3 years ago
7 0

Answer:

The distance from Old Towne to Bridgeway is 15 11/12 miles.  

Step-by-step explanation:

In order to find the distance from Old Towne to Bridgeway, we need to subtract the posted distances for these two cities.  Since Old Towne is 36 1/3 miles away and Bridgeway is 52 1/4 miles away, we need to subtract 36 1/3 from 52 1/4.  We cannot subtract fractions with unlike denominators, so we need to find the lowest common denominator of 3 and 4, which is 12.  When we make the fraction of 1/4 over a denominator of 12 we get 3/12 and when we convert 1/3 to a fraction with a denominator of 12, we get 4/12.  Since we can not subtract 4 from 3, we need to take one away from 52 and add it to our fraction to become 51 15/12.  Subtracting 51 15/12 - 36 4/12 = 15 11/12 miles.

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Solve for x in the equation x squared + 2 x + 1 = 17.
Papessa [141]

Answer:

x = - 1 + \sqrt{17}\\and\\x = - 1 - \sqrt{17}\\

Step-by-step explanation:

given equation

x^2 +2x +1 = 17

subtracting 17 from both sides

x^2 +2x +1 = 17\\x^2 +2x +1 -17= 17-17\\x^2 +2x - 16 = 0\\

the solution for quadratic equation

ax^2 + bx + c = 0 is given by

x = x = -b + \sqrt{b^2 - 4ac} /2a \\\\and \ \\-b - \sqrt{b^2 - 4ac} /2a

________________________________

in our problem

a = 1

b = 2

c = -16

x =( -2 + \sqrt{2^2 - 4*1*-16}) /2*1 \\x =( -2 + \sqrt{4  + 64}) /2\\x =( -2 + \sqrt{68} )/2\\x = ( -2 + \sqrt{4*17} )/2\\x =  ( -2 + 2\sqrt{17} )/2\\x = - 1 + \sqrt{17}\\and\\\\x = - 1 - \sqrt{17}\\

thus value of x is

x = - 1 + \sqrt{17}\\and\\x = - 1 - \sqrt{17}\\

3 0
2 years ago
Solve for xx. Write the smaller solution first, and the larger solution second. X^2 + 12x + 27 = 0x 2 +12x+27=0
sineoko [7]

Answer:

x = -9, -3

Step-by-step explanation:

x^2 + 12x + 27 = 0

We need 2 numbers whose product is  + 27 and whose sum is + 12. These are 3 and 9. So the factors are:-

(x + 3)(x + 9)  and this = 0

So (x + 3) = 0  or x + 9 = 0

x = -3 , -9

7 0
3 years ago
Read 2 more answers
Notación científica de 0,567
Phoenix [80]

Answer:

0,00567×10¹

Step-by-step explanation:

Para convertir a notación decimal:

0.00567×10¹

4 0
2 years ago
john and ted have a reputation of being late to events. If john is late 20% of the time and ted is late 40% of the time what is
oee [108]

Answer:

The probability that they will both be on time is 12/25.

Step-by-step explanation:

John is late 20% of the time.

So, he is prompt 80% of the time.

Ted is late 40% of the time.

So, he is prompt 60% of the time.

Since, both the events are independent,

p(John be on time ∩ Ted be on time) = p(John be on time) × p(Ted be on time)

= \frac{80}{100} × \frac{60}{100}

= 0.80 × 0.60

= 0.48 or 48%

=\frac{12}{25}

Hence, the probability that they will both be on time is 12/25.

3 0
3 years ago
Which of the following absolute value equations has no solutions?Group of answer choices
Amiraneli [1.4K]

The absolute value measures the distance a number is away from the origin (zero) on the number line. A number can be to the left or right of zero on the number line, but the distance away from zero is always positive. Graphically:

In other words:

• If d is positive and

\begin{gathered} |x|=d \\ \text{ then} \\ x=d\text{ or }x=-d \end{gathered}

• If d is negative and

\begin{gathered} |x|=-d \\ \text{then} \\ \text{ No solution, because distance (d) can not be negative.} \end{gathered}

Therefore, the equation that has no solutions is:

\boldsymbol{|x|=-3}

3 0
1 year ago
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