Julie drives 100 mi to Grandmother's house. On the way to Grandmother's, Julie drives half the distance at 33.0 and half the distance at 80.0 . On her return trip, she drives half the time at 33.0 and half the time at 80.0 . What is Julie's average speed on the way to Grandmother's house? What is her average speed on the return trip?

Answers

Answer 1
Answer: Average speed is ALWAYS calculated as total distance / total time 
total distance is 100mi 
total time is (50mi / 33) + (50mi / 80) 
total time is = 1.52 + 0.625 = 2.145 
so average speed going to grandmothers house is 100mi / 2.145 hrs = 46.62 mph 

on her return trip 
x = V1 x t/2 + V2x t/2 
100 = 33t/2 + 80t/2 
100 = 113t/2 
t = 100x2/113 = 1.7699hrs 
average speed = 100mi/1.7699hrs = 56.60mph

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-8d < 48

Answers

The left side−8 is less than the right side48
,which means that the given statement is always true.
True

How many solutions does the equation 4x + 8 = −2 − 2 + 5x have?Two

One

None

Infinitely many

Answers

x=12  only has 1 solution

Answer:

one

Step-by-step explanation:

A right triangle is shown. Which angle measure is closest to the value of x ?

A 43.9°
B 44.3°
C 35.7°
D 46.2°

Answers

Answer:

Step-by-step explanation:

From the given right angle triangle,

The unknown side represents the hypotenuse of the right angle triangle.

With m∠x as the reference angle,

the adjacent side of the right angle triangle is 7.8

the opposite side of the right angle triangle is 8

To determine m∠x, we would apply

the Tangent trigonometric ratio.

Tan θ, = opposite side/adjacent side. Therefore,

Tan x = 8/7.8 = 1.026

x = Tan^-1(1.026)

x = 45.7° to the nearest tenth

In the given right triangle the measure of angle x is 45.7°. The correct option is C 45.7°

Trigonometry

From the question, we are to determine the measure which is closest to the value of x

In the diagram,

Opposite = 8

and

Adjacent = 7.8

Using SOH CAH TOA

We can write that

tan\ (x) = (8)/(7.8 )

tan\ (x) = 1.02564

x = tan^(-1) (1.02564)

x = 45.7°

Hence, in the given right triangle the measure of angle x is 45.7°. The correct option is C 45.7°

Here is the Correct question:

A right triangle is shown.

Which angle measure is closest to the value of x ?

A 43.9°

B 44.3°

C 45.7°

D 46.2°

Learn more on Trigonometry here: brainly.com/question/20734777

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Which of the following is the abbreviation for a milligram?g
mig
Mg
mg

Answers

The last one is correct

Milligram is mg.

Mg is not milligrams!
The last one! hopes this help.

Jayvie has a VIP membership to a movie theater, so she pays $27 a year and $6.00 for each movie she sees. Claire doesn't have a membership, so she pays $8.25 each movie she sees. Which equation shows when they will pay the same amount of money?

Answers

Answer:

27 + 6x = 8.25x

Number of movies (x) = 12

Step-by-step explanation:

Given that:

VIP membership :

Membership fee = $27 per year

Amount per movie = $6

Hence ;

Membership fee + (amount per movie * number of movies)

27 + 6x - - - (1)

Non member :

Amount paid per movie = $8.25

amount per movie * number of movies)

8.25x - - (2)

Let Numbe of movies = x

In other to pay the same amount of money :

Equate (1) and (2)

Equation :

27 + 6x = 8.25x

8.25x - 6x = 27

2.25x = 27

X = 12 movies

What are the first five terms in the arithmetic sequence An=6n, starting with n=1?

Answers

The arithmetic sequence : A n = 6 n
A 1 = 6 * 1 = 6
A 2 = 6 * 2 = 12
A 3 = 6 * 3 = 18
A 4 = 6 * 4 = 24
A 5 = 6 * 5 = 30
Answer:
The first five terms in the sequence are:  6, 12, 18, 24 and 30.