This graph shows the distance vs. time relationship for the Lane 1 and Lane 2 turtles. Here are their equations:
Lane 1: d= 6+ 1t
Lane 2: d = 3t
Select all of the true statements.
(Select all that apply.)
1. The Lane 2 turtle is faster than the Lane 1 turtle.
2. At 3 seconds, the turtle in Lane 2 is 12 feet from the start.
3. At 12 seconds, the turtle in Lane 1 is 6 feet from the start.
4. The Lane 1 turtle has a head start.

if the addition if (X+45)° and (X+105)° equal 180°

due to they are a co- interior angles.

then X+45+X+105 = 180°

2X+150 = 180°

2X = 30

X = 15°

6√3

Step-by-step explanation:

6 is x. side across from right angle (12) is 2x. so 6x2 to get 12. missing side is x√3. so 6√3

Answer:

6√3

Step-by-step explanation:

using the pythagorean theorem you can plug in the numbers to get √(12^2 - 6^2) = √(144-36) = √108 = 6√3.

Answer:

B. 2(3)

Step-by-step explanation:

The other 3 all shows decreasing of 2 three times. 2(3) would be increasing.

Answer:

y = 1.6

Step-by-step explanation:

4.8/3=1.6

3*1.6=4.8

Answer:

[tex]y = 1.6[/tex]

Step-by-step explanation:

[tex]3y = 4.8[/tex]

Use inverse operations to solve this problem. Inverse operations is a method of solving a linear (and in some cases quadratic) equation. This method has one do the same operations to both sides such that it cancels out the operations done to the variable, and hence, it leaves one with the solution.

In this case, all one has to do is divide both sides by the coefficient of the varibale (y).

[tex]3y = 4.8[/tex]

÷[tex]3[/tex]

[tex]y = 1.6[/tex]

Answer:

10

Step-by-step explanation:

The radius is half of the diameter, so 5 * 2 = 10

Answer:

diameter=2×radius=2×5=10units

Answer:

8x+30=110

8x=110-30

8x=80

x=80/8

x= 10

Step-by-step explanation:

Answer:

Step-by-step explanation:

Like terms have same variable with same exponent. Combine the like terms.

x + x = 2x  {Just add the coefficient}

x + y + x +y + 30 + 5 = x +x  +  y + y   + 30 + 5

                                 = 2x + 2y + 35

Answer:

Step-by-step explanation:

Answer:

The answer is 6.

Step-by-step explanation:

So basically, since we know that 4 x 4 is 16, then all we have to do is multiply 1 1/2 by 4. 1 1/2 times 4 equals 6.

Answer:

6 pages

Step-by-step explanation:

all you have to do is multiply 1 1/2 by 4 if 4x4 =16

Answer:

it should be 1/8

Step-by-step explanation:

what is the question again?

Answer:

none

Step-by-step explanation:

if they ate it all as leftovers then there was no pizza left uneaten

Answer:

(-3, 13)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define Systems

y = -4x + 1

11y = x + 146

Step 2: Solve for x

Substitution

Step 3: Solve for y

1. 0 > 3x - 3 - 6

0 > 3x -9

9 > 3x

3 > x

It would be a closed circle starting from 3 going to the right.

2. 4x + 1 - 1 >/ -8

4x >/ -8

x >/ -2

It would be an open circle starting from -2 going to the right.

3. -1 </ 2n + 4 - 5

-1 </ 2n -1

0 </ 2n

Undefined.

4. -6 > 5n + 5 + 4

-6 > 5n + 9

-15 > 5n

-3 > n

It would be a closed circle going to the right

Answer:

250

Step-by-step explanation:

-17+n/5=33

n/5=33-(-17)

n/5=33+17

n/5=50

n=50*5

n=250

n=182

Step by Step Explanation:

The equation we would start out with is:

[tex] \frac{ - 17 + n}{5} = 33[/tex]

From here, we need to multiply both sides by 5. This would create an equation of -17+n=165, as we canceled out the 5.

Then, you need to add 17 to both sides to isolate the variable. This would make the equation n=182, our final answer.

Answer:

f(0) = 2

Roots are;

-2 and -1

Step-by-step explanation:

F(0) simply refers to the y-values when x = 0

This is the point at which the graph crosses the y-axis

the value here is 2

To

find the roots of f(x) , we simply find the points at which the plot crosses the x-axis

we have this at x = -2 and x = -1

These are what represents the roots of the equation

Answer:

$4000

Step-by-step explanation:

1500 × 2 =3000

3000 × ³/4 = 4000

Answer:

1.325 mg

have a good day :)

Answer:

9.3750 mg

Step-by-step explanation:

Answer:

116.6

Step-by-step explanation:

Answer:

116.6

Step-by-step explanation:

To solve this equation you would need to use the pythagorean theorem. The pythagorean theorem is [tex]a^{2} +b^{2}= c^{2}[/tex] where a and b are lengths of the triangle and c is the hypotenuse (the longest side of a triangle) in this case, the short cut.

First, you would substitute values into the equation:

[tex]100^{2}+60^{2}= c^{2}[/tex]

Then, you would multiply out the squares:

[tex]10,000+3600=c^2[/tex]

Add the numbers together:

[tex]13600=c^2[/tex]

Take the square root of both sides to get the answer:

[tex]c=116.619037897[/tex]

Then round to the nearest tenth to get the answer: c=116.6

Answer: 22 + 2y

Step-by-step explanation:

2 x 11 = 22

2 x y = 2

2(11+y) = 22+2y

Answer:

22+2y

Step-by-step explanation:

2*11 + 2* y

22 + 2y

HTH

Answer:

A and C

Step-by-step explanation:

Answer:

[tex]x < 24.49[/tex]

Step-by-step explanation:

Given

[tex]Record = 24.49[/tex]

Required

Possible time to break the record

Since no option is given to select from. I will answer the question using inequalities

For her to break the record, she must swim at a time less than 24.49.

i.e. 24.48, 24.00, 23, 22.50, etc...

Represent the time with x.

So, the inequality is:

[tex]x < 24.49[/tex]

Answer:

12

Step-by-step explanation:

6(x+8.5)=123

=> 6x + 51 = 123

=> 6x = 123 - 51

=> 6x = 72

[tex] = > x = \frac{72}{6} [/tex]

=> x = 12 (Ans)

Answer:

2/3

Step-by-step explanation:

There is a 2 in 3 chance the pointer will not land on c or d.

Step-by-step explanation:

8:00 + 8:00 = 16:00 = 4:00PM