Brian, Kelsey, and Geoff each have a remote-controlled car. They simultaneously started their cars and drove them in a straight line away from a motion sensor. The sensor recorded the distance to each car in the table below. Distance from Sensor to Each Car Time since starting cars Distance to Brian’s car Distance to Kelsey’s car Distance to Geoff’s car 1 sec 34 cm 27 cm 27 cm 3 sec 38 cm 31 cm 33 cm 5 sec 42 cm 35 cm 39 cm 8 sec 48 cm 41 cm 48 cm Which statement is best supported by the table?

Answer:

26.12

Step-by-step explanation:

Answer: 26.1

Step-by-step explanation: 20 + 6 + 0.03 + 0.09 = 26. 1

Given:

The endpoints of MN are located at M (-4, 4) and N (2,-2).

Point P divides the line segment MN such that MP: PN = 2: 1

To find:

The coordinates of point P.

Solution:

Section formula: If a point divides a line segment in m:n, then coordinates of that point are

[tex]Point=\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)[/tex]

Point P divides the line segment MN in 2:1. So,

[tex]P=\left(\dfrac{2(2)+1(-4)}{2+1},\dfrac{2(-2)+1(4)}{2+1}\right)[/tex]

[tex]P=\left(\dfrac{4-4}{3},\dfrac{-4+4}{3}\right)[/tex]

[tex]P=\left(\dfrac{0}{3},\dfrac{0}{3}\right)[/tex]

[tex]P=(0,0)[/tex]

Therefore, the coordinates of the point P are (0,0).

Answer: x=

1/8y+5

Step-by-step explanation: Step 1: Flip the equation.

8x−40=y

Step 2: Add 40 to both sides.

8x−40+40=y+40

8x=y+40

Step 3: Divide both sides by 8.

8x

8

=

y+40

8

x=

1

8

y+5

Answer:

Step-by-step explanation:

A linear equation is of the form ax+b and the highest degree of x is 1. You can see that from the power of x which is 1.

The power of x is zero from the equating. It is not reflecting because anything raise to power if zero gives 1

To get the solution of the equation ax+b = 0

We will make x the subject of the formula

ax = -b

Divide both side's by a

ax/a = -b/a

x = -b/a

If 2x-3 = 0

2x = 0+3

2x = 3

2x/2 = 3/2

x = 3/2

Given -8 = 2x+4

2x = -8-4

2x = -12

x = -12/2

x = -6

A linear equation in one variable is known to have ONE solution. This is as demonstrated in the equation above, we cans see that the only solution is -6(just one solution)

Convert the statement "adding 15 to 4 times x is 39" into an equation 1

The product of 4 and x is 4x

Adding 15 to 4x will give

15+4x

If the resulting expression is equal to 39, the final equation will be;

15+4x = 39

10) given 1/3+S = 2/5, we are to find S

S = 2/5-1/3

S = 6-5/15

S = 1/15

Hence the value of S is 1/15

Answer:

Step-by-step explanation:

To find the time taken for an object to travel given it's velocity and distance covered we use the formula

[tex]time = \frac{distance}{speed} \\ [/tex]

From the question

distance = 480 miles

speed = 40 mi/h

So we have

[tex]time = \frac{480}{40} = \frac{48}{4} \\ [/tex]

We have the final answer as

Hope this helps you

Answer:

6.5

Step-by-step explanation:

Answer:

4398046511104

Step-by-step explanation:

you multiply the exponents which results in 21 and then you do 4^21 which gets 4398046511104

Answer:

40000 milligrams

Hope it helps :)

Answer:

Step-by-step explanation:

Given the dimension

Length of the rectangle = 8cm

Width = 5cm

Note that when the scale was 1:7, syla multiplied the width by a factor of 7 i.e 5*7 = 35m

If syla changes the the scale to 1 cm : 10 m for the rectangle, then the width of the shorter side will be multiplied by a factor of 10 due to the change in scale i.e;

5 * 10 = 50m

Hence the width of the new stage will be 50 m

Answer:

50m

Step-by-step explanation:

took the quiz on edg

Answer:

-4

Step-by-step explanation:

Answer:

50 yards.

Step-by-step explanation:

Since we know that 5 yards can make 2 costumes, we can divide 5/2 to find 2.5 yards are needed to make one costume. Then you can multiply 2.5*20 to get 50 yards needed for 20 costumes. Hope this helps :)

Answer:

Step-by-step explanation:

6.053

Answer: r≈6

Step-by-step explanation: Using the formula

C=2πr

Solving forr

r=C

2π=37.7

2·π≈6.00014

Answer:

The radius is 6

Step-by-step explanation:

The circumference of a circle is equal to pi times the diameter. The diameter is two times the radius, so the equation for the circumference of a circle using the radius is two times pi times the radius

C=2πr

r=C

2π=37.7

2·π≈6.00014

Hope this helps!

-Jerc

Answer:

7

Step-by-step explanation:

Answer:

n = 12.5 or 25/2

Step-by-step explanation:

170-4n = 120

1. Subtract 170 from both sides to isolate -4n.

-4n = -50

2. Divide both sides by -4 to isolate the n.

n = 12.5 or 25/2

Hope this helped!

Answer:

12.5

Step-by-step explanation:

170 - 4n = 120

-170          -170

-4n         = -50

4n         =  50

  n         = 12.5

Answer:

-3/3

-6/6

divide top and bottom by 2 gives you -3/3

Answer:

H=42 cm

Step-by-step explanation:

21/7=3

14*3=42

Answer:

54.4

Step-by-step explanation:

Answer: 54.55kg

Step-by-step explanation:

120 ÷ 2.2 = 54.55 kg

Answer:

Corresponding Angles

Step-by-step explanation:

Both [tex]\angle 4[/tex] and [tex]\angle 8[/tex] are Corresponding Angles, they are in the same side of the transversal line, and where a line crosses two other lines.

Step-by-step explanation:

<4 and <8 are corresponding angles because they are on the same side of the transversal and are at the same location and they are congruent meaning they are equal

Answer:

z=−159

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

1

3

z+18=−35

Step 2: Subtract 18 from both sides.

1/3z+18−18=−35−18

1/3z=−53

Step 3: Multiply both sides by 3.

3*(1/3z)=(3)*(−53)

z=−159

Answer:

Let's suppose that the hole is at y = 0m, where x is the time variable.

we know that:

The vertex is (-1s, 8m).

(i suppose x in seconds and y in meters)

At x = 1s, the ball reaches the hole, so we also have the point:

(1s, 0m).

Remember that the vertex of a quadratic equation y = a*x^2 + b*x + c is at:

x = -b/2a,

then we have:

-1 = -b/2a.

Then we have tree equations:

8m = a*(-1s)^2 + b*-1s + c

0m = a*(1s)^2 + b*1s + c

-1s = -b/2a.

First we should isolate one variable in the third equation, and then replace it in one of the other two:

1s*2a = b.

So we can replace b in the first two equations bi 1s*2a.

8m = a*1s^2 - 1s*2a*1s + c

0m = a*1s^2 + 1s*2a*1s + c

We can simplify both equations and get:

8m = a*( 1s^2 - 2s^2) + c = -a*1s^2 + c.

0m = a*(1s^2 + 2s^2) + c = a*3s^2 + c.

Easily we can isolate c in the second equation and then replace it into the first equation:

c = -a*3s^2

The first equation becomes:

8m = -a*1s^2 - a*3s^2 = -a*4s^2

a = 8m/-4s^2 = -2m/s^2.

Now with a, we can find the values of c and b.

c = -a*3s^2 = -(-2m/s^2)*3s^2 = 6m.

b = 1s*2a = 1s*(-2m/s^2) = -2m/s.

Then the equation is:

y = (-2m/s^2)*t^2 + (-2m/s)*t + 6m

Answer:

x=-1

Step-by-step explanation:

-9x+18-18=27-18

-9x=9

-9x/-9 = 9/-9

x=-1

Answer:

-1

Step-by-step explanation:

Answer:

[tex] - 7 \times ( - \frac{3}{5} ) \times ( \frac{15}{7} ) = [/tex]=9

Answer:

1:3   (scale to actual)

Step-by-step explanation:

6:18

3:9

1:3

Answer:

a= -c-3h/h

Step-by-step explanation:

Answer:

the like terms here are the x and the + symbol.

Step-by-step explanation:

If a part of the equation appears more than once that is a like term.

Answer:

-To find the cost of one gallon of gas in Toronto, you have to multiply the cost of one liter of gasoline for 3.8 as you know that there are 3.8 liters in one gallon:

$0.91*3.8=$3.46

This means that a gallon of gas cost $3.46 in Toronto.

-$3.46-$2.29=$1.17

Considering that one gallon of gasoline cost $2.29 in Buffalo and $3.46 in Toronto, the cost is greater in Buffalo. The cost is greater by $1.17.

Answer:

-4 1/26

Step-by-step explanation:

You will want to Reduce the expression, if possible, by cancelling the common factors.