The Cortez family is traveling from Miami to Washington, D.C. They plan to average 55 miles per hour on their trip.


About how many drive hours will it take the Cortez family to make the trip?

Answers

Answer 1

Step-by-step explanation:

Miami is approximately 1,054 mi away from Washington DC. assuming the Cortez family is driving in a straight line the time they will be on the road is

[tex]let \: h = hrs[/tex]

[tex] 1054mi \div \frac{55mi}{h } \\ \frac{1054mi}{1} \times \frac{h}{55mi} \\ = \frac{1054mi(h)}{55mi} [/tex]

The miles unit, mi cancels and leaves us with hours, h

[tex] \frac{1054 \: h}{55} \: \: \: \: is \: approx. \: \: \: \: 19.16 \: \: hrs[/tex]


Related Questions

Appreciate all the help :)
Which matrix multiplication is defined?

Answers

Answer:

c. BC

Step-by-step explanation:

It is the possible one

Given that
R
=
9
x
+
8
y

Find
x
when
y
=
3
and
R
=
5

Give your answer as an improper fraction in its simplest form.

Answers

Answer:

X = 19/9

Step-by-step explanation:

R = 9x + 8y

R = 5, Y = 3

5 = 9x + 8(3)

9x = 8(3) - 5

9x = 19

x = 19/9

Geometry please help me

Determining angle measures in context.

Answers

Answer:

d

Step-by-step explanation:

the corresponding angles are described by 2 parallel lines and a line that cross them all

Marques is a waiter at a restaurant. Each day he works, Marques will make a
guaranteed wage of $25, however the additional amount that Marques earns from
tips depends on the number of tables he waits on that day. From past experience,
Marques noticed that he will get about $14 in tips for each table he waits on. How
much would Marques expect to earn in a day on which he waits on 17 tables? How
much would Marques expect to make in a day when waiting on t tables?

Answers

Answer:

Step-by-step explanation:

25- guaranteed

$14 on each table waited on

He waited on 17.

17x14= $238 tips

238+25= $263

1. Marques expects to earn $263 on 17 tables

2. He expects to make 25+14t per day.

Find the slope of the line that contains the points (2,5) and (4,8).

Answers

Answer: Slope = 3/2 or 1.5

Answer: y= 1.5 x+2 or y=3/2x+2

Step-by-step explanation:Slope (m) =

ΔY

ΔX

=

3

2

= 1.5

θ =

arctan( ΔY )

ΔX

= 56.30993247402°

ΔX = 4 – 2 = 2

ΔY = 8 – 5 = 3

Distance (d) = √ΔX2 + ΔY2 = √13 = 3.605551275464

y = 1.5x + 2

or

y =

3 x

2

+ 2

When x=0, y = 2

When y=0, x = -1.3333333333333

Movie tickets now average $9.75 per ticket, but are increasing 7% each year.
What is the growth factor?

Answers

Answer:

The Tickets grow approximately ¢68 or $0.68 each year

Step-by-step explanation:

7% of 9.75 = 0.68

A percentage is out of a fraction of 100; 7/100

Hope This Helps!

What does the number shown below equal to?
-15x = 390

Answers

Answer:

x =-26

Step-by-step explanation:

-15x = 390

Divide each side by -15

-15x/-15 = 390/-15

x =-26

Answer:

X = -26

Step-by-step explanation:

Divide both sides by -15.

390/-15 = -26

X is equal to -26.

A number y is multiplied by -0.8. The product is -49.
What is the value of y?

Answers

(-0.8)y = -49

Divide both sides by -0.8

y=61.25

show that P(x)=x³-6x²+11x-6 is divisible by x-1.​

Answers

HERE IS YOUR ANSWER MATE

HOPE ITS HELPFUL

HAVE A GREAT FUTURE

LOVE FROM INDIA

Hello haohaoxNienie!

[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]

Show that p(x) = x³ - 6x² + 11x - 6 is divisible by x - 1.

[tex] \huge \boxed{\mathfrak{Explanation} \downarrow}[/tex]

To show that p(x) = x³ - 6x² + 11x - 6 is divisible by x - 1, we must divide the polynomial by x - 1. If we get the remainder as 0, then we can say that p(x) = x³ - 6x² + 11x - 6 is divisible by x - 1.

__________________

So, let's do the division (steps in the attached picture).

__________________

We got the remainder as 0. So, yes p(x) = x³ - 6x² + 11x - 6 is divisible by x - 1.

__________________

More steps :-

x² - 5x + 6

= (x - 3) (x - 2) [use the splitting the middle term method].

So, the zeroes are,

(x - 3)

x - 3 = 0

x = 3 ⇨ 1st zero.

(x - 2)

x - 2 = 0

x = 2 ⇨ 2nd zero.

Now, use the values of x on the equation. If we get 0 as the solution of the equation then we can prove that p(x) = x³ - 6x² + 11x - 6 is divisible by x - 1.

p(x) = x³ - 6x² + 11x - 6

p(3) = 3³ - 6(3)² + 11 (3) - 6

p(3) = 27 - 54 + 33 - 6

p(3) = 0.

p(x) = x³ - 6x² + 11x - 6

p(2) = 2³ - 6(2)² + 11 (2) - 6

p(2) = 8 - 24 + 22 - 6

p(2) = 0

Since we got the solutions as 0 we can say that p(x) = x³ - 6x² + 11x - 6 is divisible by x - 1.

__________________

Hope it'll help you!

ℓu¢αzz ッ

Can someone help me please thank you

Answers

Di ko alam Yan sorry

Step-by-step explanation:

Bobo ako eh ML nalng Joke lang Tanong nalng kayo Ng iba

Answer:

152

Explination:

this is answer

Brainliest answer: thx(:

Line segment RS has endpoints R (-2, 4) and S (-4, -1).

Line segment R''S'' has endpoints R'' (3, -3) and S'' (5, 2).


Name the transformation that maps line segment RS to line segment R''S''.

Answers

Answer:

rotation 180° (ccw) over point (0.5 , 0.5)

Step-by-step explanation:

R (-2, 4) , S (-4, -1) -> R'' (3, -3) , S'' (5, 2)

check: rotation over (0.5,0.5) 180°

x'' = - (x - x₀) + x₀  .. x: original x coordinate, x₀ : center of rotation

y" = - (y - y₀) + y₀

for R" : x" = - (-2 - 0.5) + 0.5 = 3

           y" = -(4 - 0.5) + 0.5 = -3

You can verify the coordinates of S" by the above formula.

** (0.5,0.5) is the intersect of RR" and SS"

Justify each step
-12p+45-7p

Answers

Answer:

Given, Associative, Commutative, Associative, Addition

Step-by-step explanation:

-12p + 45 -7p           Given

-12p + (45 - 7p)        Associative

-12p + (-7p + 45)      Commutative

(-12p + -7p) + 45     Associative

-19p + 45                Addition

simplifiy the given epression
(-3.2)^0

Answers

Answer:

(-3.2)^0 = 1

Step-by-step explanation:

Anything to the power of 0 equals 1.

Answer:

1

Step-by-step explanation:

Any number raised to a power of 0 is equal to 1.

what is the lcm of 9 and 12

Answers

Hi there! To find the LCM of 9 and 12, let's first list some of their multiples.

9: 9, 18, 27, 36, 45, 54, 63, 72, 81...

12: 12, 24, 36, 48, 60, 72, 84...

Do you see what I see? The LCM is 36. Hope this helps!

~Just an emotional teen who listens to her favorite songs

[tex]SilentNature[/tex]

Help find the measure of X

Answers

Answer:

x = 3.236

Step-by-step explanation:

1. What is 3/4 divided by 1/6

Answers

Answer:

9/2 or 4 1/2

Step-by-step explanation:

3/4 ÷ 1/6 = 3/4 × 63/4 × 6 = 18/418/4 = 9/29/2 = 4 1/2

Therefore, the answer is 9/2 or 4 1/2.

Answer: 3

Step-by-step explanation:

3/4 ÷ 1/6

3/4 × 6/1

Divide 4 and 6 by 2

3/2 × 3/1

3 × 3 / 2 × 1

6 / 2 = 3

Plssssssssssssssssssssssss

Answers

Answer:

16/5[tex]\sqrt{5\\}[/tex] 6/7-3

Answer:

Greatest:

16/5

/5

-3

6/7

I think, I am no t sure

How many students spent less than 61 mins studying
6
11
12
17

Answers

Answer:    17

Step-by-step explanation:  

when reporting descriptive data such as the mean, what additional information should also be reported that expresses how different the scores are in the distribution?

Answers

The answer is: Variability

A Mars rover traveled from point A to point B at a speed of 4 cm/sec. Worsening conditions during the return trip caused the rover to travel at a speed of 2.5 cm/sec, and increased travel time by 15 minutes. What is the distance between point A and point B?

Answers

Using the speed - time relation, the distance between point A and B is 6000 cm

Recall :

Distance = speed × time Time = distance / speed

Let ; the time taken = t ; distance = d

To trip :

d = 4t ----(1)

Fro trip :

t is in seconds ; 15 minutes = (15×60) = 900 seconds

d = 2.5(t + 900)

d = 2.5t + 2250 - - - - - (2)

Equating (1) and (2)

4t = 2.5t + 2250

Collect like terms

4t - 2.5t = 2250

1.5t = 2250

t = 2250 / 1.5

t = 1500 seconds

Hence, distance = 4(t) = 4(1500) = 6000 cm

Therefore, the distance between the points is 6000 cm

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Please help I will give Brainiest if correct!
What is the rate of change?

Answers

Answer: 2 is the correct answer I am 100% positive

Step-by-step explanation:

Answer: the rate of change is 2

Step-by-step explanation:

ALL FELLOW PEOPLE I NEED HELP ASAP ! WILL MARK BRAINLIEST!!EXTRA POINTS !!!!

Answers

Answer: y = -5/3x + 4 and 5x + 2y = 4

Step-by-step explanation:

1. Firstly, we should substract 5x on both sides of the equation.

3y = -5x + 12

Then we divide by 3 on both sides of the equation. This would give us our answer.

y = -5/3x + 4

2. The answer is 5x + 2y = 4.

The slope of parallel lines should be the same. If we want to isolate y of the above the equation we should first substract 5x on both sides.

2y = -5x + 4

Then we should divide 2 on both sides of the equation.

y = -5/2x + 4

The equation above and y = -5/2x -7 have the same slope. Therefore, they are parallel.

The third answer is correct

Solve the equation.

y + 6 = -3y + 26

O y=-8

O y=-5

O y = 5

O y = 8

Answers

y= 5 is the correct answer i hope this helped you!

The solution of Equation is y=5.

The correct option is C.

What is Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

We have,

y+ 6 = -3y + 26

Now, solving for y we get

y + 3y= 26 - 6

4y= 20

y= 20/4

y= 5

Thus, the value of y is 5.

Learn more about Equation here:

https://brainly.com/question/29538993

#SPJ2

Write the equation of a line in slope-intercept form that has a slope of -1/4x and a y-intercept of 5

Answers

Answer:

Step-by-step explanation:

Slope = m = -1/4

y-intercept = b = 5

Slope intercept form = y = mx +b

[tex]y =\dfrac{-1}{4}x+5[/tex]

12 cm
14 cm
1

-
Find volume

Answers

Answer:

Volume of cylinder = 6,330.24 cm

Solution:

Volume of cylinder = area of base × altitude

Volume = πr² × altitude

V= 3.14 × 12² × 14

V = 3.14 × 144 × 14

V = 6,330.24 cm

The ages of the members of a family are 65, 58, 27, 25, 5, and 2 years old. What is the total admission price for the family to visit the zoo?

A picture shows an admission price board for people of different ages at a zoo. The ages of people and their admission price per person in dollars are as follows: 12 and under, 8; 13-59, 12; 60 and older, 10.

Answers

Answer:$62

Step-by-step explanation: 62 becuase I took your formula and plugged it in. There are 2 kids under 12 so thats $16, then there are 3 people who are 12-59 that equals $52, then 1 person who is over 60. So $62.

Can somebody solve this for me?

Answers

Answer:

Area of rectangle = L x W

Step-by-step explanation:

A = L x W

L = 18

W = 10 + 5

so,

A = 18 x (10+5)

A = 18 x 15

A = 270

he difference of 29 and n

Answers

Answer:

absolute value of n - 29

Step-by-step explanation:

n - 29

If the line t is a transversal of lines I and m, NAME THE SPECIAL ANGLE PAIR RELATIONSHIP of the given angle pairs.

Answers

Answer:

a. <1 and <3

Step-by-step explanation:

5. The two figures are scaled copies of each other.
a. What is the
scale factor that
takes Figure 1
to Figure 2?
e
P
ס
R
С
A
A
b. What is the
scale factor that
takes Figure 2.
to Figure 1?
D
Figure 1
Figure 2
S

Answers

The quadrilaterals are similar and are related by a scale factor, taken from

a specific location, that maps the points on one figure to the other.

a. The scale factor that takes Figure 1 to Figure 2, is 3

b. The scale factor that takes Figure 2 to Figure 1 is [tex]\dfrac{1}{3}[/tex]

Reasons:

From the question, we have that Figure 1 is a scaled copy of Figure 2, therefore;

Let ABCD represent Figure 1, we have;

ABCD ~ PQRS

Length of [tex]\overline{AD}[/tex] = √(2² + 3²) = √(13)

Length of [tex]\overline{PS}[/tex] = √(6² + 9²) = √(117) = √(9 × 13) = 3·√(13)

Therefore;

a. The scale factor that takes Figure 1 to Figure 2, SF₁₂, is therefore;

[tex]SF_{12} = \mathbf{\dfrac{\overline{PS}}{\overline{AD}}}[/tex]

Which gives;

[tex]SF_{12} = \dfrac{3 \cdot \sqrt{13} }{\sqrt{13} } = 3[/tex]

The scale factor that takes Figure 1 to Figure 2, SF₁₂ = 3

(3 times the lengths of Figure 1 gives the lengths on Figure 2)

b. The scale factor that takes Figure 2 to Figure 1, SF₂₁, is given as follows;

[tex]SF_{21} = \mathbf{\dfrac{\overline{AD}}{\overline{PS}}}[/tex]

Which give;

[tex]SF_{21} = \dfrac{\sqrt{13} }{3 \cdot \sqrt{13} } = \mathbf{\dfrac{1}{3}}[/tex]

The scale factor that takes Figure 2 to Figure 1, SF₂₁ is [tex]\underline{\dfrac{1}{3}}[/tex]

Learn more here:

https://brainly.com/question/17207164

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