.To find a shoe size, the manufacturer uses the equation S = 3f - 22, where S
represents the shoe size and f represents the heel-to-toe length of the foot, in
inches. Which of the following is the same equation solved for fin terms of
S?

Answer:

Step-by-step explanation:

-0.013 = [tex]\frac{-13}{1000}[/tex]

Reciprocal = [tex]\frac{-1000}{13} =-76.9[/tex]

Answer:

It wouldn't.

Step-by-step explanation:

With the ratio, since Zeona has 36 cards, Kyle must have 54. If they each sold half, Kyle would have 27 and Zeona would have 18. So, the ratio would still be 3:2.

Answer:

2. Answer is 4 and for 3. P= 1/4s

Step-by-step explanation:

Simply divide the values of one another.

This results you with:

8/2 = 4

12/3 = 4

10/5 = 2 -> I think there was an error or typo here

40/10 = 4

The constant proportion would be 4 because it is constant in every situation for S and P.

The equation would be p= 1/4s because 1 value of p would equal 4 s.

Answer: 5.2387 and 5.2437

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

24/2=12

The answer is -300 because he owes -225 and then when he spends they subtract the amount he spent so the equation would be -225-75= the answer of -300

Using it's concept, it is found that the vertex of the quadratic function is given by:

B (800, 10).

It is the point in which the parabola changes from increasing to decreasing, or vice versa, that is, the point in which it turns.

In this problem, it turns at x = 10 and y = 800, hence option A is correct.

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Answer:

Step-by-step explanation:

Answer:

63 people

Step-by-step explanation:

Given parameters:

Number of students survey = 32

Number of those that liked ice-cream = 8

Total population size  = 252

Unknown:

How many people in the population should prefer ice cream  = ?

Solution:

  From the survey;

    8 out of 32 students prefer ice cream;

     8 : 32

     1: 4

This shows that 1 out of 4 students will prefer ice cream

NOw to the total population;

  If out of 4 students, 1 prefers ice-cream;

     Out of 252 students   y will prefer ice-cream

     Number of students that prefers ice-cream = [tex]\frac{252}{4}[/tex] = 63people

Answer:

C.

Step-by-step explanation:

Answer:

3/4

Step-by-step explanation:

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Answer:

Step-by-step explanation:

3(5)-2(-4)=23

15+8=23

23=23

The system of equation 3x-2y=23 satisfies the point (5, -4) after plugging x = 5 and y = -4, the point is a solution to the equation.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

The equation of linear equation is:

3x - 2y = 23

The point is (5, -4)

Plug x = 5 and y = -4

3(5) - 2(-4)  = 23

15 + 8 = 23

Thus, the system of equation 3x-2y=23 satisfies the point (5, -4) after plugging x = 5 and y = -4, the point is a solution to the equation.

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50 increased to 75 (option A) shows the greatest percent increase.

To determine which of the given options shows the greatest percent increase, we can calculate the percent increase for each option using the following formula:

percent increase = (new value - old value) / old value x 100%

Using this formula, we can calculate the percent increase for each option as follows:

A. percent increase = (75 - 50) / 50 x 100% = 50%

B. percent increase = (700 - 500) / 500 x 100% = 40%

C. percent increase = (7,000 - 5,000) / 5,000 x 100% = 40%

D. percent increase = (74,000 - 50,000) / 50,000 x 100% = 48%

Therefore, the option that shows the greatest percent increase is option A, which increased from 40 to 75, a percent increase of 50%.

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Answer:

4

Step-by-step explanation:

Answer:

third option 1/4

Step-by-step explanation:

G is the bigger triangle with side lengths: 8, 8 and 4

F is the smaller triangle with side lengths: 2, 2 and 1

G to F:

8/x = 2

Rearrange and x would equal 1/4

4/x = 1

Rearrange and x would equal 1/4

Answer:

a)the notation for the imaginary unit

c) the formalization of a function notation

e) the notation for the base of the natural logarithm

Step-by-step explanation:

it said i was correct :P

the notation

the formalization of function notation

the notation for the base of natural logarithm

Construyendo las ecuaciones, se encuentra que el total de años que acumulan los cuatro hijos de Rigoberto es dado por 4x + 6.

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

El total de años es dado por:

[tex]x + x + 1 + x + 2 + x + 3 = 4x + 6[/tex]

4x + 6, segunda opción.

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Answer:

y= -x+5

Step-by-step explanation:

→first you need to identify 2 points. I'm using (5,0) and (0,5)

→second you need to find the slope using y2-y1/x2-x1 as your formula

5-0/0-5= 5/-5=-1

→then you need to use y-y1=m(x-x1) formula

y-0=-1(x-5)

(distribute the -1)

y-0= -1x+5 (+5 because a negative times a negative is a positive)

(combine like terms)

y= -1x+5

→once you solve you get y= -x+5

Answer:

14x - 55

Step-by-step explanation:

6x - 5 = 8x - 50

6x + 8x = 14x -5-50

-5- 50 = -55

14x -55

[tex]6x + 8x - 5 - 50 \\ = > 14x - 55[/tex]

Answer:

About $20.30

Step-by-step explanation:

$466.90 divided by 23.

Answer:

[tex]x= \frac{5}{2}[/tex]

Step-by-step explanation:

1) First, Simplify 5x-25+30 to 5x+5.

7x = 5x + 5

2) You then Subtract 5x from both sides.

7x − 5x = 5

3) Simplify 7x-5x to 2x.

2x = 5

4) Lastly,  Divide both sides by 2.

[tex]x=\frac{5}{2}[/tex]

Decimal Form: 2.5

Answer:

X= 5/2

Step-by-step explanation:

7x=5x-25+30

_5x -5x

2x=-25+30

2x=5

/2. /2

x=5/2

Answer:

x<0.5

Step-by-step explanation:

this is just like simplifiying equations if you've done that before

first you want to isolate the variable, so you want to combine the values of x (in this case it's 6x and the -2x)

so you can either add 2x to both sides or you can subtract 6x on both sides, in this case ill just add 2x to both sides.

Then you subtract 3 from both sides to get 8x<4

after you get that, you want to divide both sides by 8, and you generally want to do that step last, it makes it easier, and you get x<1/2 or 0.5

just a reminder that with working with inequalities, you want to remember to flip the direction the inequality is whenever you divide by a negative number

Step-by-step explanation:

The next cup will always have 2 more than the previous one. Continue the pattern of adding two seeds to each cup until you reach the 24th cup like so:

#s on left side = # of seed , #s on right side = # cup

6 | 3    8 | 4      10 | 5      12 | 6     14 | 7    16 | 8     18 | 9          20 | 10        22 | 11

24 | 12     26 | 13       28 | 14      30 | 15     32 | 16    34 | 17    36 | 18     38 | 19

40 | 20      42 | 21         44 | 22     46 | 23    48 | 24

What you want to know is the number of TOTAL SEEDS NEEDED TO PLAY THIS GAME. NOT how many seeds will be in the 24th cup. To find the TOTAL you need to add 2 + 4 + 6 and so on like so:

2 + 4 + 6 + 8 + 10 + 12 + 14 + 16 + 18 + 20 + 22 + 24 + 26 + 28 + 30 + 32 + 34 + 36 + 38 + 40 + 42 + 44 + 46 + 48 = 600 TOTAL SEEDS TO PLAY THIS GAME. (this is your answer)

Answer: The change in temperature each hour was 6 degrees celsius.

Step-by-step explanation: 48 divided by 8 = 6

Answer:

10.75

Step-by-step explanation:

The cost of an adult ticket is £6 more than that of a child ticket, so will be shown by c+6.

Now, we are told that the cost of four child tickets and two adult tickets is £40.50, so we can put this in an equation and solve for c:

(c+6)+(c+6)+c+c+c+c=40.50

6c+12=40.50

6c=28.50

c=4.75

so, a childs ticket is 4.75

now to find the cost of an adult ticket you add 6,

4.75 + 6

= 10.75

Answer: B. 2x + y = 10; 5 minutes

The prime factorization of 45 would be 5×9, and 9 is 3×3, so 45 would be 5×3^2.

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Answer:

Step-by-step explanation:

C

Answer:

Step-by-step explanation:

Half life is the time taken by a radioactive substance to reduce of half of its original size

If the half life of radium is 1600, this means that the original radioactive substance N0 have reduced to N0/2 after 1600 years

if we are given N0 = 1000grams

The amount of the substance that will remain after 1600 years will be N0/2 i.e 1000/2 = 500g

Hence 500 grams of radium will be left after 600years

The year of the empire fell = 1610.

We are given x as a variable that represents the year after the given year 1610.

We need to setup an inequality for this situation.

Please note: The year after the year number 1610 will have a number that greater than 1610.

Let us make a statement for inequality to be written.

"The year after the 1610 is greater than 1610".

The year after the 1610 is x and gerater than symbol is >.

So, we can setup an inequality as:

x > 1610 : Read as x is greater than 1610.