1.Which are the equation and solution for the sentence, "Anumber, n, divided by
four tenths equals 12?"

A. n ÷ 4 = 12; n = 36
B. 0.4n = 12; n = 30
C. n − 0.4 = 12; n = 12.4
D. n ÷ 0.4 = 12; n = 4.8



2.Janet has read all but the last 58 pages of a book. The book has a total of 125
pages. Which equation can you use to find how many pages (x) she has
already read?

A. 125 + x = 58

B. 125 − x = 58

C. 125 ÷ 58 = x

D. 58 − x = 125


3.Coach Whitcomb treated her soccer players to ice cream cones after they won
their game. She bought 12 cones and paid a total of $21.00. If she solves the
equation 12x = 21, she can find the price per ice cream cone. What does 1
cone cost?

A. $2.00
B. $1.75
C. $1.50
D. $1.25

Answer:

g(x), f(x) and h(x)

Step-by-step explanation:

Given

Interval: (0,3)

See attachment for functions f(x), g(x) and h(x)

Required

Order from fastest to slowest decreasing average rate of change

The average rate of change is calculated as:

[tex]Rate = \frac{f(b) - f(a)}{b - a}[/tex]

In this case:

[tex](a,b) = (0,3)[/tex]

i.e.

[tex]a = 0\\b=3[/tex]

For f(x)

[tex]f(x) = 16(\frac{1}{2})^x[/tex]

[tex]Rate = \frac{f(b) - f(a)}{b - a}[/tex]

[tex]Rate = \frac{f(3) - f(0)}{3 - 0}[/tex]

[tex]Rate = \frac{f(3) - f(0)}{3}[/tex]

Calculate f(3) and f(0)

[tex]f(x) = 16(\frac{1}{2})^x[/tex]

[tex]f(3) = 16(\frac{1}{2})^3 = 16 * \frac{1}{8} = 2[/tex]

[tex]f(0) = 16(\frac{1}{2})^0 = 16 * 1 = 16[/tex]

So:

[tex]Rate = \frac{f(3) - f(0)}{3}[/tex]

[tex]Rate = \frac{2 - 16}{3}[/tex]

[tex]Rate = -\frac{14}{3}[/tex]

For g(x)

[tex]Rate = \frac{g(b) - g(a)}{b - a}[/tex]

[tex]Rate = \frac{g(3) - g(0)}{3 - 0}[/tex]

[tex]Rate = \frac{g(3) - g(0)}{3}[/tex]

From the table of g(x)

[tex]g(3) = 1[/tex]

[tex]g(1) = 27[/tex]

So:

[tex]Rate = \frac{1 - 27}{3}[/tex]

[tex]Rate = -\frac{26}{3}[/tex]

For h(x)

[tex]Rate = \frac{h(b) - h(a)}{b - a}[/tex]

[tex]Rate = \frac{h(3) - h(0)}{3 - 0}[/tex]

[tex]Rate = \frac{h(3) - h(0)}{3}[/tex]

From the graph of h(x)

[tex]h(3) = -3[/tex]

[tex]h(0) = 4[/tex]

So:

[tex]Rate = \frac{-3 - 4}{3}[/tex]

[tex]Rate = -\frac{7}{3}[/tex]

So, the calculated rates of change are:

[tex]f(x) = -\frac{14}{3}[/tex] [tex]= -4.67[/tex]

[tex]g(x) = -\frac{26}{3}[/tex] [tex]=-8.67[/tex]

[tex]h(x) = -\frac{7}{3}[/tex] [tex]=-2.33[/tex]

By comparison:

From the fastest decreasing to slowest, the order is: g(x), f(x) and h(x)

Answer: IN THIS ORDER!!   g(x), f(x), h(x).

Answer:

A - 36 in.

b - 8

Step-by-step explanation:

A - You marked all of it right! 10 + 10 + 10 + 6

B - The teeth are only on half of the circle that hit the chain. 10 inches of chain for the big wheel, so 1/2 of 10 is 5. Same thing for the little wheel, 1/2 of 6 is 3, and 5+3 = 8, so about 8!

Answer:

[tex]Area: 29 cm^{2}[/tex]

Step-by-step explanation:

[tex]Aear=(8.5+6)(\frac{4}{5} )[/tex]

[tex]Area=14.5 (2)[/tex]

[tex]Area=29[/tex]

----------------------

hope it helps...

have a great day!!

Answer:

190.9

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

5

Step-by-step explanation:

[tex]let \: the \: age \: of \: charmaine \: be \: x[/tex]

[tex]according \: to \: question[/tex]

[tex]4 + x = 16[/tex]

[tex]x = 16 - 4[/tex]

[tex]12[/tex]

[tex]so \: the \: age \: of \: shaun \: is \: [/tex]

[tex]x + 4[/tex]

[tex]12 + 4[/tex]

[tex]16[/tex]

hope it helps if it helps don't forget to like and mark me

Answer:

Step-by-step explanation:

Use Quadratic Formula to solve Real Life Quadratic Equation Problem.

Kaylani is going to make a blanket by sewing a 4-foot long piece of ribbon along the diagonal of a piece of rectangular fabric. She wants the length of the blanket to be 18 inches longer than the width. What is the approximate perimeter of the blanket? Round to the nearest inch.

Answer: 2.1 Pints

Step-by-step explanation:

Given

Areli uses 8.4 Pints of blue and White Paint

If the three-fourth is blue paint i.e.

[tex]\Rightarrow 8.4\times \dfrac{3}{4}=6.3\ \text{Pints}[/tex]

The remaining one-fourth is White Paint i.e.

[tex]\Rightarrow 8.4\times \dfrac{1}{4}=2.1\ \text{Pints}[/tex]

Answer:

A:80 FT

Step-by-step explanation:

just did it

Answer:

What is the question?????

Answer:

circumference:

2 × 3.14 × 5.8m = the circumference ** (use your calculator here, ill die if I in do this)

Answer:

x = 57.2

Step-by-step explanation:

Equation:

32.8 + x = 90

x = 90 - 32.8

x = 57.2

Answer:

3/4 x 6=18/4

Step-by-step explanation:

Reduce fraction to lowest terms

18 over 4

18 /4

= ( 18 ÷ 2 ) over ( 4 ÷ 2 )

18 ÷ 2

4 ÷ 2

= 9 over 2

9 /2

2 is the greatest common divisor of 18 and 4. Reduce by dividing both numerator and denominator by 2.

Step 2 of 2: Simplify, sub-step b: Convert improper fraction to mixed number.

Convert improper fraction to mixed number

9 over 2

9 /2 = 4 and 1 over 24

1 /2

9 ÷ 2 = 4 remainder 1

Answer:

7 and a half minutes

Step-by-step explanation:

this is because 15 is 1/4 of a hour and 7 and a half is half of 15 if you spend 7 and a half on all homework assignments you will use up 45 minutes or 3/4 of a hour

Answer:

Divide annual salary minus extra compensation by the number of hours worked per year. For example, if your annual salary minus bonuses, tips and commissions is $30,000 and you work 2080 hours per year, your base salary is approximately $14.42 an hour.

Answer:

297,000 good luck :))!!!

Answer:

4 yuuuhhhgh I have been working

Answer:

Step-by-step explanation:

WX is midsegment

Answer:

After the 8th city is built there will be 28 roads between the cities

Step-by-step explanation:

The given parameters are;

The number of cities initially on the island = 7 cities

The number of roads between each 2 cities = 1 road

Therefore, we have the number of roads between the 7 cities are;

7 cities taking 2 at a time = ₇C₂

[tex]_7C_2 = \dfrac{7!}{(7 - 2)!\cdot 2!} = 21[/tex]

The initial number of roads between the 7 cities = 21 roads

The number of roads, 'n' there will be after the 8th city is built is therefore;

[tex]n = _8C_2 = \dfrac{8!}{(8 - 2)!\cdot 2!} = 28[/tex]

The number of roads there will be after the 8th city is built, n = 28 roads.

Answer:

y=1/4x-1

Step-by-step explanation:

The equation that represents Genevieve's brother is y = 18/2.

The equation that represents Genevieve's age:

21 = 3 + 2Y

Where Y represents Genevieve's brother age

In order to determine the required equation, make y the subject of the formula

21 - 3 = 2y

18 = 2y

y = 18/2

To learn more about linear functions, please check: https://brainly.com/question/26434260

Answer:

.

Step-by-step explanation:

Answer:

Babysitting your cousins

Step-by-step explanation:

Becauss 15/1.5 is 3. And 60/8 is 7.5

Answer:

1/6

Step-by-step explanation:

the probability of rolling a 2 is 1/6

Answer:

I do believe that it is B.

Sorry I don't have much of an explanation.

Answer:

9 ≤ x ≤ 7

Step-by-step explanation:

2x – 3 ≤ 11 or –8x – 10 ≤ – 82

We shall determine the value of x in both case.

2x – 3 ≤ 11

Collect like terms

2x ≤ 11 + 3

2x ≤ 14

Divide both side by 2

x ≤ 14/2

x ≤ 7

–8x – 10 ≤ – 82

Collect like terms

–8x ≤ – 82 + 10

–8x ≤ – 72

Divide both side by –8

x ≤ – 72 / –8

x ≥ 9 (since we divided by a negative sign)

9 ≤ x

Combining both answers

x ≤ 7

9 ≤ x

Thus,

9 ≤ x ≤ 7

Answer:

Nalani is correct.

Step-by-step explanation:

Given - Nalani says the expression 9+7r cannot be factored using the GCF.

To find - Is she ​correct? Explain why or why not.

Proof -

GCF - Greater Common factor

Given that, the expression is - 9 + 7r

As

HCF(9, 7) = 1

So , we can not factor the expression.

i.e. there does not exist any number who is a multiple of 9 and 7 both.

So,

Nalani is correct.

Example -

Let the expression be 24 + 18x

HCF(24, 18) = 6

So,

24 + 18x = 6(4 + 3x)

90 x 120 = 10800

10800/2 = 5400

Answer:

Step-by-step explanation:

so this is the problem:

90x120=x/2

first, you can multiply 90 and 120 to get 10800.

then, your equation looks like this

10800=x/2

you can multiply both sides by 2

2(10800)=(x/2)(2)

then, you get this

21600=x

hope this helped!!!

Answer:

wheres the question

Step-by-step explanation:

Answer:

y= x-3

Step-by-step explanation:

use the slope formula which is y= m(slope)x + b(y intercept)

The slope is one, so you can just leave it as x, and the y intercept is -3 so you can plus that into the b.

Hope this helps :)