Answer:
41 miles per hour
Step-by-step explanation:
This is a fraction equal to
41 miles ÷ 1 gallon
We want a unit rate where
1 is in the denominator,
so we divide top and bottom by 1
41 miles ÷ 1
1 gallon ÷ 1
= 41 miles per gallon
I hope this works
Answer:
The system of equations is
Step-by-step explanation:
Let
x ----> the number of minutes of calling time
y ----> the monthly cost of the calling plan
we know that
The linear equation in slope intercept form is equal to

where
m is the slope
b is the y-intercept
In this problem
Plan A

substitute
----> equation A
Plan B

substitute
----> equation B
therefore
The system of equations is
Answer:
5. B) 55
6. D) 15
Step-by-step explanation:
5.
One of the properties of a triangle is that the sum of angles in a triangle will always equal (180) degrees. One can apply this here, form an equation and solve for (x). Remember, a box around an angle indicates that the measure of the angle is (90) degrees.
90 + x + 35 = 180
Simplify,
125 + x = 180
Inverse operations,
x = 55
6.
This triangle is a right triangle, as mention earlier, a box around an angle indicates that the angle measure is (90) degrees. One of the criteria of a triangle to be considered a right triangle is that it must contain a (90) degree angle. One of the properties of a right triangle is that it follows the Pythagorean theorem, the Pythagorean theorem states the following,

Where (a) and (b) are the legs or sides adjacent to the right triangle, and (c) is the hypotenuse or side opposite the right angle.

Simplify,

Inverse operations,
c = 15
Answer:
0.184
Step-by-step explanation:
As the statistician consultant, I would have to calculate the chance of having 2 ambulances on the freeway at this hours and relay the message to the dispatcher.
Probability of having the need for 2 ambulances.
We will have a poisson distribution:
Lambda = 1
P(x=2) = e^-2*1/2!
= 2.71828^-1/2
= 0.368/2
= 0.184
I would tell the dispatch rider that the possibility that 2 ambulances would be required is 0.184.
Thank you
Answer:
<h2>x = 36°</h2>
Step-by-step explanation:
We know: the sum of the angles in any quadrilateral is 360°.
Therefore we have the equation:
108 + 108 + 2x + 2x = 360 <em>cobine like terms</em>
(108 + 108) + (2x + 2x) = 360
216 + 4x = 360 <em>subtract 216 from both sides</em>
4x = 144 <em>divide both sides by 4</em>
x = 36