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3 years ago

What is an expression that represents the situation $5.50 divided by $44

Mathematics

1 answer:

Dahasolnce [82]3 years ago

6 0

Answer:

5.50/40

Step-by-step explanation:

5.50 divided by $44

this 5.50/40 is ths same as this

5.50 divided by $44

5.50/40 is your answer

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An airplane travels 6111 kilometers against the wind in 9 hours and 7911 kilometers with the wind in the same amount of time. Wh

natima [27]

Answer:

Speed of the plane in still air: $779\; {\rm km \cdot h^{-1}}$ .

Windspeed: $100\; {\rm km \cdot h^{-1}}$ .

Step-by-step explanation:

Assume that $x\; {\rm km \cdot h^{-1}}$ is the speed of the plane in still air, and that $y\; {\rm km \cdot h^{-1}}$ is the speed of the wind.

When the plane is travelling against wind, the ground speed of this plane (speed of the plane relative to the ground) would be $(x - y)\; {\rm km \cdot h^{-1}}$ .
When this plane is travelling in the same direction as the wind, the ground speed of this plane would be $(x + y)\; {\rm km \cdot h^{-1}}$ .

The question states that when going against the wind ( $v = (x - y)\; {\rm km \cdot h^{-1}}$ ,) the plane travels $6111\; {\rm km}$ in $9\; {\rm h}$ . Hence, $9\, (x - y) = 6111$ .

Similarly, since the plane travels $7911\; {\rm km}$ in $9\; {\rm h}$ when travelling in the same direction as the wind ( $v = (x + y)\; {\rm km \cdot h^{-1}}$ ,) $9\, (x + y) = 7911$ .

Add the two equations to eliminate $y$ . Subtract the second equation from the first to eliminate $x$ . Solve this system of equations for $x$ and $y$ : $x = 779$ and $y = 100$ .

Hence, the speed of this plane in still air would be $779\; {\rm km \cdot h^{-1}}$ , whereas the speed of the wind would be $100\; {\rm km \cdot h^{-1}}$ .

3 0

1 year ago

There are 16 girls and 20 boys in the school band. Express an equivalent ratio of boys to total number of students in the school

Alex17521 [72]

Answer:

4:5

Step-by-step explanation:

half of 16 is 8, and half of 8 is 4

and half of 20 is 10, and half of 10 is 5

hope i helped man

8 0

3 years ago

In a recent survey of 655 working Americans ages 25-34, the average weekly amount spent on lunch was 43.76 with standard deviati

klemol [59]

Answer:

Between 38.42 and 49.1.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean of 43.76, standard deviation of 2.67.

Between what two values will approximately 95% of the amounts be?

By the Empirical Rule, within 2 standard deviations of the mean. So

43.76 - 2*2.67 = 38.42

43.76 + 2*2.67 = 49.1

Between 38.42 and 49.1.

8 0

2 years ago

What is the exponential expression for the numerical expression 14⋅14⋅14⋅14?

SVEN [57.7K]

It may be 1^4 ............................

7 0

2 years ago

A borrower earns $8,000/month and makes credit card and car note payments of $900. A conventional lender requires a 30% income r

Pavlova-9 [17]

Answer: The lendor will allow for $1500 for the housing expenses.

This lendor is allowing 30% for the debt. So, we start by multiplying 8000 times 0.3 which equals 2400.

However, we have to subtract the current debts of 900.
2400 - 900 = 1500

5 0

3 years ago