Joseph rides his bike for 30 miles in an hour going west

Answer:

27 minutes

Step-by-step explanation:

Given that :

Total number of planes = 100

10 planes were delayed by an hour each= 60 minutes;

Total delay time for the 10 planes = (60 * 10) = 600 minutes

Of the 90 remaining :

Half (45) left on time = no delay

(Delay2) : Half (45) experieced a average delay of 20 minutes.

Total delay time for the 45 planes = (45 * 20) = 900

Hence,

Overall delay time = (600 + 900) = 1500 minutes

Number of planes delayed = (10 +45) = 55 planes

Average flight delay :

(Overall delay time / number of planes delayed)

(1500 / 55) = 27.27

= 27 minutes ( to the nearest minute)

Answer:

27

Step-by-step explanation:

Answer:

Sebastian didn't interpret the numbers correctly (See explanation)

Step-by-step explanation:

If you go up an elevator, you are gaining floors, so the number is positive.

If you go down an elevator, you are losing floors, so the number is positive.

Looking at the statement, he went 7 floors up to his room, then 9 floors down to the parking garage this can be represented as [tex]7 - 9[/tex], since the 7 is positive and the 9 is negative.

Sebastian described the movement as [tex]9 + -7[/tex], which is wrong - 9 should be -9 and -7 should be 7.

Hope this helped!

Answer:

Step-by-step explanation:

Let the lobby level be the reference point for Seb's movement.

The following describes his motion:  +7 - 9.  This puts him 2 floors below the lobby level.

Seb's "9 + (-7)" is incorrect because it indicates an upward trip, whereas the actual direction was downward.  Similarly, "-7" indicates a downward trip, whereas the action direction was upward.

Answer:

GCF of 25 and 80 = 5

Answer:

GCF of 25 and 80 is 5

Step-by-step explanation:

Answer:

[tex]\frac{1}{6}[/tex]

Step-by-step explanation:

the third option

Answer:

Step-by-step explanation:

y=-1/5x+4

----------

The slope of the perpendicular line is always the opposite reciprocal of the original line

For example: the opposite reciprocal of 5 is -1/5

Answer:

y = -7.

Step-by-step explanation:

It is horizontal so it will pass through the y axis where y = -7. It is parallel to the x axis so will never pass through it.

Answer:

This is true

Step-by-step explanation:

Because a distribution of sample means is as the set of means from all the possible random samples of a specific size, selected from a specific given population.

Answer:

$2800[tex]x[/tex]

Step-by-step explanation:

Tuition fee per student = $2800/student

if there are [tex]x[/tex] amount of students, then the total costs of tuition that will be generated will be

([tex]x[/tex] students) x ($2800/student) = $2800[tex]x[/tex]

If for example, there are 200 students in this school, then in this case, [tex]x[/tex] = 200 students.

Total cost = (200 students) x ($2800/student) = $560000.

In simple terms, the cost of [tex]x[/tex] students paying tuition of $2800, is [tex]x[/tex] multiplied by the $2800 tuition for each student which is $2800[tex]x[/tex]

Answer:

0.2 repeating

Step-by-step explanation:

Answer:

7r + 4t = 14

<=> 7r = 14 - 4t

<=> r = (14 - 4t) / 7

Answer: r = f(t)

[tex]r = 2 - \frac{4}{7} t[/tex]

The relationship 7r+4t=14 in terms of t or as a subject r is r = (14 - 4t)/7.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have:

 7r+4t=14

Write the relationship as a function r=f(t).

Make subject as r

7r = 14 - 4t

r = (14 - 4t)/7 = f(t)

Thus, the relationship 7r+4t=14 in terms of t or as a subject r is r = (14 - 4t)/7.

Learn more about the function here:

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#SPJ2

Answer: 46

Step-by-step explanation:

Answer:

35:53

3:8

Step-by-step explanation:

Answer/Step-by-step explanation:

Maximum number of treats = amount of juice (58 in³) ÷ volume of cone-shaped container to be used

We are given different containers with the same height of 3 in, but different radius. Volume of a cone is given as ⅓*πr²h

Complete the table as follows:

Maximum no. of treats to be made with container of radius (r) 0.5 in, height 3 in:

Take π as 3.14

Volume = ⅓*3.14*0.5²*3 = 0.79 in³

Max no. of treats = 58 ÷ 0.79 = 73.4

73 containers can be filled completely. Therefore, maximum number of treats she could make is 73

Maximum no. of treats to be made with container of radius (r) 1 in, height 3 in:

Take π as 3.14

Volume = ⅓*3.14*1²*3 = 3.14 in³

Max no. of treats = 58 ÷ 3.14 = 18.5

18 containers can be filled completely, therefore, maximum number of treats to be made with this cone is 18 treats.

Maximum no. of treats to be made with container of radius (r) 1.5 in, height 3 in:

Take π as 3.14

Volume = ⅓*3.14*1.5²*3 = 7.07 in³

Max no. of treats = 58 ÷ 7.07 = 8.2

Max no of treats to be made is 8.

Answer:

[tex]n = \frac{11}{2} = 5.500[/tex]

Answer:

6

Step-by-step explanation:

f(x)= x

g(x) = x + 6,

g(f(o))

Let x = 0

f(0) = 0

g(f(0) = g(0) = 0+6 = 6

Answer:

347

Step-by-step explanation:

Answer:

[tex]\Huge \boxed{9}[/tex]

Step-by-step explanation:

[tex]\displaystyle \frac{3a}{b} -6= 21[/tex]

Add 6 to both sides.

[tex]\displaystyle \frac{3a}{b} =27[/tex]

Dividing both sides by 3.

[tex]\displaystyle \frac{a}{b} = 9[/tex]

Answer:

7, -2

Step-by-step explanation:

we call the first number "X" and the second one "Y"

X is 9 more than Y! which means we need to add 9 to Y so it'll be equal to X. so: Y+9=X

also 2×(X+Y)=10

you can also write this down as: 2X+2Y=10

now we have:

X=Y+9

2X+2Y=10

you can now put what equals to X in the second Equation:

2(Y+9)+2Y=10 => 2Y+18+2Y=10 => 4Y=10-18 =>Y= -2

the only thing left to do is to put Y= -2 in the first equation:

X= -2+9 => X=7

An algebraic equation is an equation with unknown variables which can be represented using any number of the alphabet.

The two numbers are  7 and -2

Let's represent the unknown numbers which are the unknown variables with the letters

Let the first number = m

The second number = n

A number is 9 more than another number. This statement is represented by the algebraic equation:

m = 9 + n .......... Equation 1

Twice the sum of the two numbers is 10. This statement is represented by the algebraic equation:

2 (m + n) = 10

2m + 2n = 10...................Equation 2

We substitute 9 + n for "m" in Equation 2

2(9 + n) + 2n = 10

18 + 2n + 2n = 10

Subtract 18 from both sides

18 - 18  + 2n + 2n = 10 - 18

4n = -8

Divide both sides by 4

4n/4 = -8/4

n = -2

We solve for m using Equation 1

m = 9 + n

m = 9 + (-2)

m = 9 - 2

m = 7

Therefore, the two numbers are  7 and -2

To learn more, visit the link below:

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Answer: 15 games

Step-by-step explanation:

Answer:

G.

Step-by-step explanation:

cards = 2

dollars = 9

to check that the number of cards with the correct amount d;

use the ratio and proportion.

(3 x 18)/9 = 4

(4 x 31.5)/18 = 7

(7 x 45)/31.5 = 10

therefore, option G. table G. is the correct answer

try doing the ratio and proportion on the other table and the number of cards DO NOT match with the amount.  (see attached)

Answer:

-2

Step-by-step explanation:

So we want to find the value of:

[tex](-6)+(4)[/tex]

Simply add:

[tex](-6)+4=-2[/tex]

Thus, drop the word SUM on -2.

Further notes:

To use the number line to solve, first start by placing your point on -6.

Since we are adding 4 to -6, we move to the right. Thus, move from -6 four spaces to the right.

If you do so correctly, you will end up at -2, the same answer we acquired previously.

Answer:

[tex]\Huge \boxed{-2}[/tex]

Step-by-step explanation:

The sum is the result from adding two or more numbers to each other.

[tex]-6 + 4 = - 2[/tex]

-6 is the starting point on the number line.

4 is added to -6, so an arrow from -6 goes 4 units to the right of the number line.

The arrow stops at -2.

Answer:

Has not solution.

Step-by-step explanation:

14x÷2 = 6(x - 0)

14x÷2 = 6*x + 6*-0

14x÷2 = 6x - 0

14x = 2*6x

14x ≠ 12x

then:

This equation has not solution.

Answer:

2.22

Step-by-step explanation:

To get 2 2/9 in decimal form, we basically convert the mixed number to a fraction and then we divide the numerator of the fraction by the denominator of the fraction. Here are the detailed math steps we use to convert 2 2/9 mixed number to decimal form:

Step 1: Multiply the whole number by the denominator:

2 × 9 = 18

Step 2: Add the product you got in Step 1 to the numerator:

18 + 2 = 20

Step 3: Divide the sum from Step 2 by the denominator:

20 ÷ 9 = 2.222222

That's it! The answer to 2 2/9 in decimal form is displayed below:

2 2/9 ≈ 2.22

The discriminant is:

[tex]D=4^2-4(1)(2)=8[/tex]

So [tex]D>0[/tex] which means there are two distinct real solutions.

Hope this helps.

Answer:

2 real solutions

Step-by-step explanation:

x^2 +4x+2 =0

This is in the form ax^2 + bx +c

The discriminant is

b^2 -4ac

4^2 - 4*1*2

16 - 8

8

Since this is greater than 0, we have 2 real solutions

Answer:

x = -3 , y = 4 , z = 0

Step-by-step explanation:

Solve the following system:

{x - 3 y + z = -15

2 x + y - z = -2

x + y + 2 z = 1

Hint: | Choose an equation and a variable to solve for.

In the first equation, look to solve for z:

{x - 3 y + z = -15

2 x + y - z = -2

x + y + 2 z = 1

Hint: | Solve for z.

Subtract x - 3 y from both sides:

{z = 3 y + (-x - 15)

2 x + y - z = -2

x + y + 2 z = 1

Hint: | Perform a substitution.

Substitute z = -15 - x + 3 y into the second and third equations:

{z = -15 - x + 3 y

15 + 3 x - 2 y = -2

x + y + 2 (-15 - x + 3 y) = 1

Hint: | Expand the left hand side of the equation x + y + 2 (-15 - x + 3 y) = 1.

x + y + 2 (-15 - x + 3 y) = x + y + (-30 - 2 x + 6 y) = -30 - x + 7 y:

{z = -15 - x + 3 y

15 + 3 x - 2 y = -2

-30 - x + 7 y = 1

Hint: | Choose an equation and a variable to solve for.

In the second equation, look to solve for x:

{z = -15 - x + 3 y

15 + 3 x - 2 y = -2

-30 - x + 7 y = 1

Hint: | Isolate terms with x to the left hand side.

Subtract 15 - 2 y from both sides:

{z = -15 - x + 3 y

3 x = 2 y - 17

-30 - x + 7 y = 1

Hint: | Solve for x.

Divide both sides by 3:

{z = -15 - x + 3 y

x = (2 y)/3 - 17/3

-30 - x + 7 y = 1

Hint: | Perform a substitution.

Substitute x = (2 y)/3 - 17/3 into the third equation:

{z = -15 - x + 3 y

x = (2 y)/3 - 17/3

(19 y)/3 - 73/3 = 1

Hint: | Choose an equation and a variable to solve for.

In the third equation, look to solve for y:

{z = -15 - x + 3 y

x = (2 y)/3 - 17/3

(19 y)/3 - 73/3 = 1

Hint: | Isolate terms with y to the left hand side.

Add 73/3 to both sides:

{z = -15 - x + 3 y

x = (2 y)/3 - 17/3

(19 y)/3 = 76/3

Hint: | Solve for y.

Multiply both sides by 3/19:

{z = -15 - x + 3 y

x = (2 y)/3 - 17/3

y = 4

Hint: | Perform a back substitution.

Substitute y = 4 into the first and second equations:

{z = -x - 3

x = -3

y = 4

Hint: | Perform a back substitution.

Substitute x = -3 into the first equation:

{z = 0

x = -3

y = 4

Hint: | Sort results.

Collect results in alphabetical order:

Answer:  {x = -3 , y = 4 , z = 0

Answer:

9x

Step-by-step explanation:

X=1/7y-9

X+9=1/7

7x + 63 = y

Y=7x+63

Y-7x=63

Y=63/7x

Y=9x

Answer:

C. . how old they are

Step-by-step explanation:

Geologist are people that deal with the internal structure of the earth.

They study Rocks, and it's deposit accumulated millions of years back.

They can also give account of what happened in the past and the types of organisms that existed in the past.

Fossils are traces of event, remains of dead animals and decomposed object.

So geologist can give account of how many years a particular fossil has lived in that particular environment.

Answer: B) Shift 3 units down

Recall that y = f(x) as both describe outputs of a function. The same applies for g(x) as well. Saying f(x)-3 means y-3. So we're subtracting 3 from the y coordinate of each point. A point like (1,5) moves to (1,2). Doing this to all points on f(x) will move the entire curve down 3 units.

Answer: 6√2m or 8.49.

Step-by-step explanation:

Drawing the right angled triangle and label the sides, AC, which is the hypotenuse and the longest, AB , one if the sides, and BC the third sides. Since it is an isosceles right angle triangle with the right angle at B, based on my own diagram here, two of the sides are equal.

AB = BC = 6m

Now to find the hypotenuse, we apply the Pythagoras theorem which states that the square of the sum of the two sides equal the square of the hypotenuse side.That is

AC² = AB² + BC²

AC² = 6² + 6²

= 36. + 36

= 72

AC² = 72, Therefore, AC which is the hypotenuse

AC = √72

= √36 × √2

= 6√2m. or 8.49m