The perez family and the smyth family are each taking road trips. The perez family travels at an average rate of 65 miles per hour and the smyth family travels at an average rate of 50 miles per hour. How far does each family travel after 6 hours?.

Answer:

4y = 6x + 40

Step-by-step explanation:

The general equation of a straight line is y = mx + b

m is the slope and b is the y-intercept

let us write both equations in this form;

we have this as;

6y = -4x + 1

y = -4x/6 + 1/6

and;

2x + 3y = 18

3y = -2x + 18

y = -2x/3 + 6

So firstly we want to find an equation that is perpendicular to the first

When two lines are perpendicular, their slopes has a product of -1

The slope of the first line is -4/6

let the slope of the line we want be m

As per they are perpendicular;

-4/6 * m = -1

-4m/6 = -1

-4m = -6

m = 6/4

So now, we want the y-intercept greater than that of the second equation which is a y-intercept of 6

we can choose 10

and we have the equation as:

y = 6x/4 + 10

multiply through by 4

4y = 6x + 40

Answer:

171 in³

Step-by-step explanation:

Answer:

BE=24

Angle EBC=33

Step-by-step explanation:

Rectangle diagonals are congruent so

[tex]3x + 6 = 6x - 12[/tex]

[tex]3x + 18 = 6x[/tex]

[tex]18 = 3x[/tex]

[tex]x = 6[/tex]

Plug that in one of the equations.

[tex]3(6) + 6 = 24[/tex]

BE=24.

ECD is apart of Isoceles triangle EDC.

Another isoceles triangle is EAB.

They triangle share two sides( remeber all diag ki bals in a rectangle are congruent) and a angle E, so they are congruent triangles.

That means Angle EBA measures 57 degrees.

Angle EBC and Angle EBA add up to 90 degrees so

Angle EBC=33

Answer:

B

Step-by-step explanation:

(The picture on the bottom left)

Answer: 336 hr

Step-by-step explanation:

Given

The speed of the van is 45 mph

The speed of the family car is 60 mph

distance traveled by van in 112 hours is

[tex]d_1=45\times 112=5040\ miles[/tex]

After 112 hours family car started its Journey. Suppose, van travels another x miles after the family car started its Journey

So, distance traveled by the family car in 't' hours

[tex]\Rightarrow 60\times t=112\times 45+45\times t\\\\\Rightarrow 15 t=5040\\\\\Rightarrow t=\dfrac{5040}{15}=336\ hr[/tex]

So, after traveling 336 hr, the family car will catch the van

Answer:

3/45

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

There are no real factors for this.

Step-by-step explanation:

We could answer this either by checking each listed expression to see whether it is a factor of 9r^2-4r+1, or

We could take the coefficients of 9r^2-4r+1, determine the quantity b²-4ac (called the 'discriminant') and draw a conclusion based upon whether the discriminant is -, + or 0.

Let's use the 2nd approach.

Here, a = 9, b = -4 and c = 1.

Then the discriminant is b²2 - 4ac, or (-4)² - 4(9)(1), or 16 - 36.

Since 16 - 36 is negative, we conclude that this 9r^2 - 4r + 1 has NO REAL FACTORS.

Answer:

Down below. was solved using an equation.

Step-by-step explanation:

[tex]y=40+9x\\y=112\\112=40+9x\\112-40=40+9x-40\\72=9x\\72/9=9x/9\\8=x[/tex]

She would need 8 hours of babysiting

Answer:

Looooool

Kooooooooooooooooooooooooooooooooooooooo9999999999999999999999999 to you too!!!

Step-by-step explanation:

Can I have brainiest plz! Thanks!!!

Answer:

I am not sure how you want this question to be answered since it's not a question but um... the answer is Chim chim chim churie

Step-by-step explanation:

Answer:a

Step-by-step explanation:

b. -3/2

Step-by-step explanation:

This is the correct answer

Answer:

area 12.566

circumference 12.566

Step-by-step explanation:

Answer:

Circumference= 6.28 meters

Area=12.56 in²

Step-by-step explanation:

[tex]C=r*pi[/tex]

[tex]C=2*3.14[/tex]

[tex]C=6.28[/tex]

[tex]A=pi*r^2[/tex]

[tex]A=3.14*4[/tex]

[tex]A=12.56[/tex]

Answer:

w=9

Step-by-step explanation:

short answer 2 and 6 are the same size with three x difference, so three times three is nine.

Answer: 102 ft

Step-by-step explanation:

Answer:102 feet

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

I just did the same thing!!! LOL :) I hoped that helped

Answer:

c

Step-by-step explanation:

To find the iqr, you need to subtract 50 - 40. 50 - 40 = 10

Answer:

6. xint=-7

    yint=-3

7. xint=-7

yint=-5

Step-by-step explanation:

Answer:

6. (-7,-3)

7. (-7,-6)

Them are the coordinates

Answer:

b)34°

Step-by-step explanation:

3x+50°+2x-30°=180°

5x+20=180° collect like term

5x=180°-20

5x/5=160°/5

×=32°

find M

M=(2x-30°) by Vertical opposite angle

2×32°-30

64°-30°=34°

Answer: A

Step-by-step explanation:

We have to find the perimeter of the figure.

For doing so, we have to find the length of all the sides of a quadrilateral

The length of a line segment joining points (x1,y1) and (x2,y2) is given by the distance formula:  

after finding length of all the sides, we add the length of each side to get the perimeter.

Use the distance formula to find the length of each side, and then add the lengths.

Answer:

Hi! The answer to your question is 138

Step-by-step explanation:

☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆

☆Brainliest is greatly appreciated!☆

Hope this helps!!

- Brooklynn Deka

Answer:

( 0 , 0 )

Step-by-step explanation:

Answer:

B: 1/3 × 15

Step-by-step explanation:

1/3 = 33%

Round 14 up to 15.

This will get you the closest answer

Answer:

x=5

Step-by-step explanation:

the answer is choice c

Answer:

hello

bring the side of the first part of the triangle then you can to bring the (x) of the second traingle

Answer:

24442 square inches of decorative paper

Step-by-step explanation:

To solve for the above question, we have to find the Surface Area of the box. The box is shaped as a Rectangular Prism.

Hence, the formula is given as:

A = 2(wl + hl+ hw)

Where:

Length (l) = 99 inches

Width (w) = 55 inches

Height (h) = 44 inches

=2 × (55×99 + 44×99 + 44×55)

=24442 square inches

Therefore, the minimum amount of decorative paper needed to cover the box is 24442 square inches of decorative paper.

Answer:

65%

Step-by-step explanation:

52 + 28 = 80 total pins

52/80 = .65

Answer:

65% of the pins were yellow

Step-by-step explanation:

52 +28= 80 total flowers

80= 100%

52= x%

80x = 5200

x = 65%

Answer:

2

Step-by-step explanation:

The given angle is 45 degrees so the triangle has the same legs.

we can find the hypotenuse by using the Pythagorean theorem

y= √2(√2)^2 = √4 = 2

Answer:

c

Step-by-step explanation:

The solution is,  (c)  Yes, because angle 3 and angle 6 are congruent.

In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.

here, we have,

given that,

Angles 3 and 6 are "alternate interior" angles. When those angles are congruent, as these are, then the lines crossed by the transversal are parallel.

we have,

We expect angles 5 and 6 to be supplementary because they are a linear pair.

That fact says nothing about the relationship of line d to line c.

Hence, The solution is,  (c)  Yes, because angle 3 and angle 6 are congruent.

To learn more on angle click:

brainly.com/question/28451077

#SPJ5