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?

Answer:

x = 3.236

Step-by-step explanation:

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.

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]

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]

Answer:

absolute value of n - 29

Step-by-step explanation:

n - 29

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.

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

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]

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Answer:

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

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:

Answer:

d

Step-by-step explanation:

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

Answer:    17

Step-by-step explanation:  

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(:

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!

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.

Answer:

Answer:

Greatest:

16/5

/5

-3

6/7

I think, I am no t sure

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

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.

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.

__________________

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

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.

Answer:

9/2 or 4 1/2

Step-by-step explanation:

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

The solution of Equation is y=5.

The correct option is C.

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.

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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

Answer:

c. BC

Step-by-step explanation:

It is the possible one

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"

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

Recall :

Let ; the time taken = t ; distance = d

To trip :

Fro trip :

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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Answer:

a. <1 and <3

Step-by-step explanation:

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