i need help with the first question asap. please explain how you did the problem and why or why not they are porportional

Answer:

(a) [tex]x= \frac 2 3\div \frac 1 6[/tex]

(b) [tex]x= \frac 2 3\times \frac 6 1[/tex]

(c) 4 pounds

Step-by-step explanation:

Let the capacity of the container is [tex]x[/tex].

The container has coffee which is 1/6 of the capacity of the container and the amount of coffee is 2/3 pounds.

So, 1/6 of the capacity of the container has 2/3 pound of coffee, i.e

[tex]\frac 1 6 \times x = \frac 2 3\cdots(i)[/tex]

(a) From the equation (i), the required division expression for the capacity of the box, x, is

[tex]x= \frac 2 3\div \frac 1 6[/tex]

(b) The division expression can be changed to multiplication expression by interchanging the numerator and the denominator of the divisor. So, from part (a), the required multiplication expression for the capacity of the box, x, is

[tex]x= \frac 2 3\times \frac 6 1\cdots(ii)[/tex]

(c) From equation (ii), the capacity of the box is

[tex]x= \frac 2 3\times 6= 4[/tex] pounds.

Answer:

15

Step-by-step explanation:

1/10 of 50 is 5, so remove that.

2/3 of 45 is 30, so remove that too.

therefore, 15 kids are in school

hope this helps!! <3

Answer:

If you call the smaller integer "x" and the greater integer "y", then:

x+y=3x-11             The sum of the two is 11 less than 3 times the smaller

y=x+1                    Because they are consecutive, the greater must be 1 more than the smaller

Then you can solve for x:

x+(x+1)=3x-11       Substitute x+1 for y

2x+1=3x-11            Combine like terms

2x+12=3x               Add 11 to both sides

12=x                      Subtract 2x from both sides

The smaller integer is 12, thus the greater integer is 1 more or 13.

Check:

12+13=3(12)-11

25=36-11

25=25                       Yes, so the integers are 12 and 13

Step-by-step explanation:

thats pretty much it

Answer/Step-by-step explanation:

A. The point (3.5, 210) on the graph means the car travelled a distance of 210 miles, at constant speed, for 3.5 hours.

B. To find out if the point (1, 60) is on the line, first, calculate the slope of the line (rate of change), and then find the rate of change between the point (1, 60) and the point (3.5, 210). If you get the same value as the slope of the line, it definitely means (1, 60) is a point of the graph.

Calculating slope of the line using (3.5, 210) and (5, 300):

[tex] slope(m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{300 - 210}{5 - 3.5} [/tex]

[tex] slope(m) = \frac{90}{1.5} [/tex]

[tex] slope(m) = 60 [/tex]

Calculating the rate of change (slope) between (1, 60) and (3.5, 210):

[tex] = \frac{y_2 - y_1}{x_2 - x_1} = \frac{210 - 60}{3.5 - 1} [/tex]

[tex] = \frac{150}{2.5} = 60 [/tex]

Rate of change (slope) = 60

Since the average rate of change between (1, 60) and the given point on the graph, (3.5, 210), is the same as the slope of the graph, therefore the point (1, 60) is a point on the graph also.

The answer is, YES.

Answer:

-4599

Step-by-step explanation:

x-(x(x-y)^3) , x=9, y=1

=9-(9(9-1)^3)

=9-(9(8)^3)

=9-(9*512)

=9-4608

= -4599

Answer:

use symbolab

Step-by-step explanation:

Answer:

C. None of these

Step-by-step explanation:

Answer:

0.000002

Step-by-step explanation:

2* 10^-6

is the same as

2 * 0.000001

which is

0.000002

Answer:

The answer is: 0.000002

Step-by-step explanation:

Have a great day!

Answer:

39

Step-by-step explanation:

Answer:

32.4825

hope this helped :)

The area of rectangle ABCD with the given vertices is: 8 units².

Area of rectangle = (length)(width).

Given the following vertices:

Area = (length)(width) = (AB)(BC)

AB = |-2 - 6| = 8 units

BC = |2 - 3} = 1 unit

Area of rectangle = (8)(1) = 8 units².

Learn more about area of rectangle on:

https://brainly.com/question/25292087

#SPJ1

Answer: 8

Step-by-step explanation:

Answer:

Minimum, Vertex(1,-7) and sorry what do you mean by aos? i dont get that please type in the comments I'll answer that too. Hope you understand the rest

Step-by-step explanation:

The vertex of a parabola means the stationary point/turning point which is denoted by the following:

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

and for y we just simply put the value of x that we get into the equation so lets get started

The equation [tex]y=x^2-2x-6[/tex] is a quadratic equation

and if we compare it by the standard form [tex]y=ax^2+bx+c[/tex] we get the following values

a=1 , b=-2 , c=-6

and now for the vertex

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

[tex]x=\frac{-(-2)}{2(1)} \\x=\frac{2}{2} \\x=1[/tex]

and now for y

[tex]y=x^2-2x-6\\y=(1)^2-2(1)-6\\y=1-2-6\\y=-7[/tex]

so the vertex is (1,-7)

and the graph is minimum not maximum because the value of a is greater than 0 if the value of a>0 then the graph is minimum and if the value of a<0 meaning a is negative the graph is maximum and here in the equation a=1 which means a>0 then our graph is minimum.

Answer:

hey we were talking in the comment section with someone else 16 min ago and that chat maxed out so he made another one and wants you to come back. Just letting you know.

Step-by-step explanation:

Answer:

The correct answer is A

Step-by-step explanation:

Answer:

s(6)×t(6)

hope this helps

Answer:

q = -7

Step-by-step explanation:

-5 - 2q = 9

Add 5 to both sides of the equation.

-2q = 14

Divide both sides by -2.

q = -7

Answer:

As the values of x increase both function decrease in value.

Step-by-step explanation:

Answer:

C = t * 3

Step-by-step explanation:

Answer:

sure ill help

Step-by-step explanation:

Answer:

a+b=f

Step-by-step explanation:

180-f= c

180-(a+b)= c

SO

a+b= f

Answer:

5x(x+4)(2x+1)(2x−1)

Step-by-step explanation:

Answer:

they add one half to each number

Answer:

7.5

Step-by-step explanation:

i hope this helps!!

Answer:

The second graph ( one with the coordinates (3,1) and (6,3))

Step-by-step explanation:

Answer:

The answer is B.

Step-by-step explanation:

Answer:

3/5 as a percent is 60% hope that helps

Answer: [tex]x \geq 3[/tex]

The graph has a closed circle pointing to the right

Answer:

Step-by-step explanation:

Answer:

Ffyguggjbkbkhigu

Step-by-step explanation:

Hjvjgjgugugugugugigkhkhkhkhkhkhkh

Answer:

Step-by-step explanation:

Initially the monster is one-headed, when it is cut off, 2 more heads grow in its place, when the two heads are cut off, 4 will grow in its place. This will go on an on and the amount of heads that grows each day will form a geometric sequance as shown;

1, 2, 4...

The nth term of an arithmetic sequence is expresses as;

[tex]T_n = ar^{n-1}[/tex] where;

a is the first term

r is the common ratio

n is the number of terms

To get the number of heads that the Hydra have on the third day, we will have to find the fourth term of the sequence since the first cutting was done the next day (second day).

from the sequence above;

a = 1

r = 2/1 = 4/2 = 2

T4 = 1(2)^{4-1}

T4 = 2^3

T4 = 8

Hence the hydra will have 8 heads on the third day.

To know the number of heads at the end of 10 days, we will find the 11th term of the progression

T11 = 1(2)^{11-1}

T4 = 2^10

T4 = 1024

He will have 1024 heads after 10 days of trying to kill the monster.

The number of heads that would the Hydra have on the third day is 8

And, at the end of 10 days of trying to kill it is 1024.

a = 1

r = 2 by 1 = 2  

T4

= 8

So the hydra will have 8 heads on the third day.

Now  

To know the number of heads at the end of 10 days, we will determine the 11th term of the progression

= 1024

Learn more: https://brainly.com/question/24908711?referrer=searchResults

If there are a total of 162 games, and every then games the player hits 2 home runs, we can divide the total amount of games by 10 then multiply the quotient by 2.

162 / 10 is approximately 16.

16 × 2 = 32

32 + 77 = 109 career home runs

Using the slope intercept relation, the required equation and the number of home runs at season end would be ;

Recall :

Slope, b = 2 home runs per 10 games = 2/10 = 0.2

The expression can be represented thus:

Number of home runs at the end of the season :

x = 162

y = 0.2(162) + 77

y = 32.4 + 77

y = 109.4

y = 109

Hence, Total number of hime runs would be 109.

Learn more : https://brainly.com/question/3565320

Answer: 61cm

Step-by-step explanation:

So to work out this question you do 5734÷94 which would work out the with which is 61

61×94=5734