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Tresset [83]
3 years ago
7

Jermaine wants to know how fast he is traveling in a school bus, but he cannot see the speedometer. He records that the bus trav

els 1 mile in 75 seconds. How fast is Jermaine traveling in miles per hour?
Mathematics
1 answer:
Advocard [28]3 years ago
8 0
<h3>Answer:</h3>

48 mph

<h3>Explanation:</h3>

The rate in miles per second can be converted to the rate in miles per hour by multiplying by the number of seconds in an hour:

\dfrac{1\,mi}{75\,s}\cdot\dfrac{3600\,s}{1\,h}=\dfrac{3600\,mi}{75\,h}=48\,mi/h

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What is the error in the equation
dimulka [17.4K]

Answer:

The fifth line contains the error.

Step-by-step explanation:

Line 1 is the equation.

Lines 2, 3, and 4 are correct.

The error is in the 5th line.

The square root of a negative number is not a real number, so if this problem is solved only with real numbers, there is no solution.

If imaginary numbers are allowed, then the last line should read:

x = \pm\dfrac{i\sqrt{11}}{2}

4 0
2 years ago
Jason’s gas tank can hold 12 gallons of gas. His gas tank was empty and he filled it up 2/3 full. He spent $20.16. How much did
natita [175]

Answer:

$2.52 per gallon.

Explanation:

\frac{2}{3}  \times 12 = 8

8c = 20.16

c = 2.52

7 0
1 year ago
Evaluate 6²-7²+8²-9²+..+998²-999²​
Llana [10]

Answer:

-499,485.

Step-by-step explanation:

We can transform this to an arithmetic series by  working it out in pairs:

6^2 - 7^2 = (6-7)(6+7) = -13

8^2 - 9^2 = (8-9)*8+9) = -17  

10^2 - 11^2 = -1 * 21 = -21 and so on

The common difference is -4.

The number of terms in this series  is (998 - 6) / 2 + 1

= 992/2 + 1 = 497.

Sum of n terms of an A.S:

= n/2 [2a1 + (n - 1)d  

Here a1 = -13, n = 497, d = -4:

Sum = (497/2)[-26 - 4(497-1)]

= 497/2 * -2010

= -499,485.

3 0
3 years ago
Consider the following sequence
wlad13 [49]

Answer:

a₇ =  2.375

Step-by-step explanation:

There is a common ratio r between consecutive terms, that is

r = \frac{-76}{152} = \frac{38}{-76} = \frac{-19}{38} = - \frac{1}{2}

This indicates the sequence is geometric with nth term

a_{n} = a₁ (r)^{n-1}

where a₁ is the first term and r the common ratio

Here a₁ = 152 and r = - \frac{1}{2} , then

a_{n} = 152 (-\frac{1}{2}) ^{n-1} , so

a₇ = 152 (-\frac{1}{2}) ^{6} = 152 × \frac{1}{64} = 2.375

3 0
3 years ago
Read 2 more answers
By what percent change if the numerator is decreased by 10% and the denominator is decreased by 70%
hjlf

Answer:

It increases x3.

Step-by-step explanation:

Let's say the fraction to begin with was 100/100. Ignore the fact that it isn't fully reduced and it is an improper fraction.

10% of 100 is 10, so the numerator is now 90 (decrease=get smaller; 100-10=90).

70% of 100 is 70, so the denominator is now 30 (decrease=get smaller; 100-70=30).

Our fraction is now 90/30 which, when fully reduced, equals 3.00. Since 100/100 equals 1.00, it has increased by 2.00 (3x bigger).

6 0
2 years ago
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