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Debora [2.8K]
3 years ago
10

On your family trip, you used 9 gallons of gas. If the odometer readings before and after your trip were 74,233 and 74,545, resp

ectively, how many miles per gallon did you average? Round your answer to the nearest whole number.
Mathematics
1 answer:
sveta [45]3 years ago
6 0

Find the number of miles driven by subtracting the odometer readings:

74545 - 74233 = 312 miles driven.

Divide miles driven by gallons of gas used:

312 / 9 = 34.66 = 35 miles per gallon.

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As a plane takes off it ascends at a 20 degree angle of elevation. If the plane has been traveling at an average rate of 290 ft/
poizon [28]

Given :

As a plane takes off it ascends at a 20 degree angle of elevation.

If the plane has been travelling at an average rate of 290 ft/s and continues to ascend at the same angle.

To Find :

How high is the plane after 10 seconds.

Solution :

Distance travelled by plane, D = 2900 ft.

Angle of elevation, Ф = 20°.

Height gained is given by :

H = Dsin\ \phi

H = 2900 × sin 20°

H = 991.86 ft.

Therefore, height of plane after 10 seconds is 991.86 ft.

Hence, this is the required solution.

8 0
3 years ago
For the data in the table, tell whether y varies directly with x. If it does, write an equation for the direct variation.
allochka39001 [22]

It is direct variation if x/y is a constant.

x/y = 2 / -6.6 = -1/3.3

y/x = -9.9/3 = -3.3

y/x = -6.6/ 2 = -3.3

y/x = -13.2/ 3 = -3.3

y/x = -16.2/ 3 = -3.24

So its not exactly direct variation as the last values is slightly different from the first 3.


4 0
3 years ago
Solve the system of equations using any method. 2X – Y + Z = – 2, 6X + 3Y – 4Z = 8, – 3X + 2Y +3Z = – 6
krok68 [10]

Answer:

Z = - 2, Y = 0, X = 0

Step-by-step explanation:

2X – Y + Z = – 2

6X + 3Y – 4Z = 8

– 3X + 2Y +3Z = – 6

isolate "X" in the first equation

2X - Y + Z = - 2 => isolate "2X"

2X = - 2 - Z + Y => divide either side by 2

X = - 1 - Z/2 + Y/2

substitute this value of X in the second two equations (applying the substitution method here)

6(- 1 - Z/2 + Y/2) + 3Y - 4Z = 8,

6Y - 7Z - 6 = 8

- 3(- 1 - Z/2 + Y/2) + 2Y +3Z = - 6,

Y + 9Z + 6/2 = - 6

isolate Y in the second equation (6Y - 7Z - 6 = 8) and substitute in the third equation (Y + 9Z + 6/2 = - 6)

6Y - 7Z - 6 = 8 => isolate 6Y

6Y = 14 + 7Z => divide either side by 6

Y = 7Z + 14/6 => substitute in second equation

7Z + 14/6 + 9Z + 6/2 = - 6 => solve for Z

61Z + 50/12 = - 6, Z = - 2

substitute the value of Z into the equations "Y = 7Z + 14/6" and using the value of Y and Z, substitute into "X = - 1 - Z/2 + Y/2"

Y = (7(- 2) + 14)/6 = 0 / 6

= 0

X = - 1 - (- 2)/2 + 0/2 = - 1 - (-1) + 0

= - 1 + 1 + 0 = 0

6 0
3 years ago
What angle is this and explain
REY [17]

The measures of the angles are 59 degrees

<h3>How to determine the value of the angles?</h3>

The angles are given as:

Angle 1 = 2x + 17

Angle 2 = 3x - 4

By the interior angle theorem, the angles are congruent

So, we have

Angle 1 = Angle 2

Substitute the known values in the above equation

2x + 17= 3x - 4

Collect the like terms

3x - 2x = 17 + 4

Evaluate the like terms

x = 21

Substitute x = 21 in Angle 1 = 2x + 17

Angle 1 = 2 * 21 + 17

Evaluate

Angle 1 = 59

This means that

Angle 1 = Angle 2 = 59

Hence, the measures of the angles are 59 degrees

Read more about angles at:

brainly.com/question/25716982

#SPJ1

8 0
1 year ago
The equation of the line of best fit of a scatter plot is y = −7x − 2. What is the the y-intercept?
aleksklad [387]

Answer:

-2

Step-by-step explanation:

Equation of slope intercept form

y = (slope × x) + y intercept

6 0
3 years ago
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