A truck is leaving a post office and heading out to deliver mail. The table shows the truck's distance d from the post office at time t. Calculate the average rate of change over the interval from 8 to 15 minutes.

Answer:

13/5 - 6x/5

Step-by-step explanation:

Answer:

x>2 here u go kenma :)

Step-by-step explanation:

100x-200>40x-80

60x-200>-80

60x>120

x>2

add 1 to both sides then divide by 3. the answer should be r=3

Answer:

r=3

Step-by-step explanation:

First, you would add 1 to both sides so:8+1=3r-1+1 so that gives you 9=3r.

Then, you divide 3 from both sides. 9/3=3r/3 so that gives you r=3

Answer:

18.5 minutes

Step-by-step explanation:

Koto’s average velocity along her route was 4.5 m/s.

She started at her house and traveled 15,000 meters north, 5,000 meters east, 20,000 meters south, and then 5,000 meters west.

5000 meters west - 5000 meters east = 0

20,000 south - 15000 north = 5000 meters

4.5 meters = 1 second

5000 meters = x seconds

Cross Multiply

4.5 × x = 5000 × 1

x = 5000/4.5

x = 1111.11111111 seconds

There are 60 seconds in 1 minute.

60 seconds = 1 minute

1111.11111111 = y minutes

60 × y = 1111.11111111 × 1

y = 1111.11111111/60

y = 18.5185185185 minutes

Approximately = 18.5 minutes

The time of her trip is 18.5 minutes

Answer:

18.5

Step-by-step explanation:

Answer:

He didn't turn the proper fraction to an improper fraction.

-1 1/5 = -6/5

-6/5 * 3/2

-18/10

-1 8/10

Answer:

Each student will get a half a gallon of distilled water

Step-by-step explanation:

Answer:

Yes it is.

Step-by-step explanation:

To figure this out, lets first convert inches to centimeters. 1 Inch is equal to 2.54cm. Lets multiply 12 times 2.54. That would be equal to 30.48, which is greater than 29. This means that it is long enough to cut.

Answer:

yes it is

Step-by-step explanation:

because 12 in = 30.48 cm

Answer:

30 miles

Step-by-step explanation:

Answer:

Standard form:

2x + 4 = 0

Factorization:

2(x + 2) = 0

Solutions:

x = −4 /2  = −2

Answer:

x = -2

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

3x+5−(5x+8)=−4x−7

3x+5+−1(5x+8)=−4x−7(Distribute the Negative Sign)

3x+5+−1(5x)+(−1)(8)=−4x−7

3x+5+−5x+−8=−4x−7

3x+5+−5x+−8=−4x+−7

(3x+−5x)+(5+−8)=−4x−7(Combine Like Terms)

−2x+−3=−4x−7

−2x−3=−4x−7

Step 2: Add 4x to both sides.

−2x−3+4x=−4x−7+4x

2x−3=−7

Step 3: Add 3 to both sides.

2x−3+3=−7+3

2x=−4

Step 4: Divide both sides by 2.

[tex]\frac{2x}{2} = \frac{-4}{2}[/tex]

x = −2

The GCF of 6 and 36 is 6.

36/6 = 6

6/6 = 1

Write the equation with the GCF outside the parentheses and the multiples inside:

Rewrite as 6(6+1)

Answer:

36/6= 6

6/6= 1

Step-by-step explanation:

sorry but i cant explain it but all i know is the answer

Answer:

x=7.5

Total area = 27+15 = 42

Step-by-step explanation:

For question 13, we still need to find the bottom side of the T-shape that's not labeled. That's just 9-3.5-3.5=9-7=2.

Now that we know all the side lengths, we can set up an equation where all the side lengths add up to 39, and solve for x:

9+3+3+3.5+3.5+x+x+2=39

24+2x=39

2x=15

x=7.5

For question 14, we can divide the shape into 2 rectangles, which is shown in the picture attaches. Then, we just solve for each rectangle's area separately, and then add them up.

Rectangle A = 9*3=27

Rectangle B = 7.5*2=15

Total area = 27+15 = 42

Answer:

it is rational

Step-by-step explanation:

if it is not able to be a fraction it is irrational, but it can be turned into a fraction so therefore it is a rational.

Hope this helped

Answer:

3/2

Step-by-step explanation:

We can use the slope formula

m = ( y2-y1)/(x2-x1)

    = ( 5-2)/(8-2)

   = 3/2

Answer:

the answer to this question is 15

The edge length of the square is 15 m. Then the length of the diagonal of the square will be 15√2 m.

All the sides of a square are congruent. Let a be the side length of the square. Then the area of the square is the square of the side length of the square.

Then the area of the square will be

Area of the square = a² square units

A square has an area of 225 m².

Then the edge length of the square is given as,

a² = 225

a = 15 m

Then the length of the diagonal of the square will be given as,

⇒ a√2

⇒ 15 √2 m

The edge length of the square is 15 m. Then the length of the diagonal of the square will be 15√2 m.

More about the area of the square link is given below.

https://brainly.com/question/1658516

#SPJ2

Answer:

The Domain is X and Range is Y

Step-by-step explanation:

Top values are domain and bottom values are Range

Answer:

60+9h=375

Step-by-step explanation:

60+9h=375 just use math

The equation which represents the statement "Sixty more than 9 times a number is 375" is 9h + 60 = 375.

In mathematics, an expression that incorporates variables, constants, and algebraic operations is known as an algebraic expression.

The given statement is "Sixty more than 9 times a number is 375".

Since the number is h, the statement written in mathematical form is:
9h + 60 = 375

Hence, the equation which represents the statement "Sixty more than 9 times a number is 375" is 9h + 60 = 375.

Learn more about algebraic expressions here:

https://brainly.com/question/953809

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Answer: 15x^2+116x+192

Step-by-step explanation:

(5x+12) (3x+16) multiply each term in the first parentheses by each term in the second parentheses

15Xx 3x+5Xx16+12x3x+12x16

15x^2+166X+192

                      ANSWER  15x^2+116+192

Answer:

The chosen topic is not meant for use with this type of problem.

Step-by-step explanation:

The best way to try and solve is using the quadratic formula. The quadratic formula helps us solve any quadratic equation. First, we bring the equation to the form ax²+bx+c=0, where a, b, and c are coefficients. Then, we plug these coefficients in the formula: (-b±√(b²-4ac))/(2a) . See examples of using the formula to solve a variety of equations.

( 5x + 12 ) x ( 3x + 16 )

Step one : use the distributive factor. To “distribute” means to divide something or give a share or part of something. According to the distributive property, multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.

5x x 3x

5x x 16

12 x 3x

12 x 16

15x^2 + 80x + 36x + 192

Step two: Combine like terms

15x^2 + 116x + 192

Step three: Solve the equation for  x  by finding  a

,  b, and c of the quadratic then applying the quadratic formula.

x = - 12/5 , -16/3

Answer:

Kindly check explanation

Step-by-step explanation:

Given that :

Total point = 867

Let :

number of 3 point goals = p

Number of 2 point goals = 2p - 66

Number of 1 point goals = (2p - 66) - 36 = 2p - 102

Hence,

3p + 2(2p - 66) + 2p - 102 = 867

3p + 4p - 132 + 2p - 102 = 867

3p + 4p + 2p - 234 = 867

9p - 234 = 867

9p = 867 + 234

9p = 1101

p = 122.33

2 pointer = 2p - 66

2(122.33) - 66 = 178.67

1 point = 2p - 102

2(122.33) - 102

= 142.67

Note: you may need to recheck the parameters given, because the expected result should be whole numbers

Answer:

If you have two point the you have (x1, y1) and (x2,y2).

All you have to do is set these up in the formula y2-y1

                                                                                 x2-x1  

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

(Mi español no es muy bien, lo siento.)

1. Exponente es básicamente multiplicación.

2² = 2*2

2³ = 2*2*2

2. Dividir

Answer:

Step-by-step explanation:

2 1/2 / 2^3=

2 1/2 / 2*2*2=

2 1/2 / 8=

2.5 / 8=

0.3125

Answer:

96 packages

Step-by-step explanation:

We solve for this question using Lowest Common Multiple (LCM) method

Step 1

We list multiples of each number until the first common multiple is found. This is referred to as the lowest common multiple.

From the question , we are told:

Plates are sold in packages of 24

Cups in packages of 32

Forks in packages of 48

Multiples of 24:

24, 48, 72, 96, 120, 144

Multiples of 32:

32, 64, 96, 128, 160

Multiples of 48:

48, 96, 144, 192

Therefore,

LCM(24, 32, 48) = 96

Hence, the least numbers of packages you should buy in order to have the same number of plates, cups, and forks is 96 packages

Answer:

[tex]3x^{2}[/tex]

Answer:

The absolute value is 8

Step-by-step explanation:

the absolute value of a number is always going to be positive. if you have a negative number and need the absolute number, you just put the opposit of the number.

Answer:

The absolute value is 8

Answer:

h = 6

Step-by-step explanation:

Answer:

yikes! i hope someone helps you!!!!

Answer:

3-2x=15

Step-by-step explanation:

add 3 to both sides makes -2x=18. divide -2 from both side gets the answer x=-9, so the answer is C, -9

Answer:

A

Step-by-step explanation:

d(t)=3t+1 but d(t)=7

distance*time=3*time+1

so d(t)=7 is the same as

d(t)=3(2)+1

meaning that you hiked for 2 hours.