A linear function includes the ordered pairs (2,5), (6,7) and (k,11). What is the value of k?

A)8
B)10
C)12
D)14

Answers

Answer 1

ANSWER

D)14

EXPLANATION

The linear function includes the ordered pairs (2,5), (6,7) and (k,11).

The slope of this line is the same for any two given points:

[tex] \frac{7 - 5}{6 - 2} = \frac{11 - 7}{k - 6} [/tex]

[tex]\frac{2}{4} = \frac{4}{k - 6} [/tex]

Cross multiply,.

2(k-6)=4×4

2(k-6)=16

Divide both sides by 2

k-6=8

k=8+6

k=14

Answer 2

Answer:

Option D will be the answer.

Step-by-step explanation:

y intercept form of a line is represented by y = mx + c

Where m = slope of the line and c = y- intercept of the line.

A line passing through two points (2, 5) and ( 6, 7) has the slope

m = [tex]\frac{y-y'}{x-x'}[/tex]

   = [tex]\frac{7-5}{6-2}[/tex]

  = [tex]\frac{2}{4}[/tex]

  = [tex]\frac{1}{2}[/tex]

Equation will be y = [tex]\frac{x}{2}+c[/tex]

This line passes through (2, 5)

5 = [tex]\frac{1}{2}\times 2+c[/tex]

c = 5 - 1

c = 4

And the equation will be y = [tex]\frac{1}{2}x+4[/tex]

Since a point (k 11) passes through the line then we will plug in these values in the equation to find the value of k.

11 = [tex]\frac{1}{2}\times k+4[/tex]

11 - 4 = [tex]\frac{k}{2}[/tex]

7 = [tex]\frac{k}{2}[/tex]

k = 2×7

  = 14

Option D will be the answer.


Related Questions

In a 2-card hand, what is the probability of holding 2 kings?

Answers

A pack of cards has 52 cards, 4 of which are kings, so the probability of the first card being a king is (4/52). Since you have already chosen a card, there are only 51 cards left to choose from in the entire deck (the first card is not counted anymore because it has already been pulled from the deck), and since the card you chose was a king, you are left with only 3 more kings, meaning that the probability of the second card being a king is (3/51). Since we are interested in both happening simultaneously, we must multiply the probability of the first by the probability of the second: (4/52) • (3/51), which leaves us with: * 12/2,652 or 0.0045249 *

Final answer:

To find the probability of holding 2 kings in a 2-card hand, you need to calculate the number of favorable outcomes and divide it by the total number of possible outcomes. In this case, there are 6 favorable outcomes out of 1,326 possible outcomes, resulting in a probability of approximately 0.0045 or 0.45%.

Explanation:

To find the probability of holding 2 kings in a 2-card hand, we first need to determine the total number of possible 2-card hands that can be dealt from a standard 52-card deck. The number of combinations of choosing 2 cards from 52 is given by the formula C(52, 2) = 52! / (2! * (52-2)!) = 1,326.

Next, we need to determine the number of favorable outcomes, which is the number of ways to choose 2 kings from the 4 kings in the deck. This can be calculated as C(4, 2) = 4! / (2! * (4-2)!) = 6.

Finally, we can calculate the probability by dividing the number of favorable outcomes by the total number of possible outcomes: P(2 kings) = 6/1,326 ≈ 0.0045 or 0.45%.

What is the domain of the square root function graphed below?

Answers

Answer: all real numbers

Step-by-step explanation: the domain for any function is always , all real numbers or in other words, negative infinity to positive infinity.

Answer:

c. x >= 0

Step-by-step explanation:

Help me.. ASAP just number 10 pls

use the bar graph to find the experimental probability of the event

Answers

10 ~ Spinning A 3

I hope this helps!~ I tried

Honestly I feel like it is 10.

What is 3 2/3 + 5 11/24?!

Answers

[tex]\text{Hey there!}[/tex]

[tex]\text{What is 3}\frac{2}{3}\ + 5\frac{11}{24}[/tex]

[tex]\text{3}\frac{2}{3}\rightarrow 3\times3=9\rightarrow9+2=11\rightarrow\ \rightarrow\frac{11}{3}[/tex]

[tex]5\frac{11}{24}\rightarrow5\times24=120\rightarrow120+11=131\rightarrow\ \rightarrow\frac{131}{24}[/tex]

[tex]\text{Your problem becomes:}\frac{11}{3}+\frac{131}{24}[/tex]

[tex]\text{Solve that}\uparrow\text{and your should come up to}\rightarrow[/tex] [tex]\frac{73}{8}\ or\ 9\frac{1}{8}[/tex]

[tex]\boxed{\boxed{\bf{Answer:\frac{73}{8}\ or \ 9\frac{1}{8}}}}\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{LoveYourselfFirst:)}[/tex]

Which point on the number line below represents a number that is less than -2.5 but greater than -7.5?

Point R
Point S
Point T
Point V

HELP ASAP​

Answers

Answer:

S

Step-by-step explanation:

Answer:

S is the answer

Step-by-step explanation:

A. A frog is climbing out of a well that is 8 feet deep. The frog can climb 4 feet per
hour but then it rests for an hour, during which it slips back 2 feet. How long will
it take for the frog to get out of the well?

B. What if the well was 40 feet deep, the frog climbs 6 feet per hour, and it slips back
1 foot while resting? ​

Answers

Answer:

A: 5 hrs.   B: 14 hrs. and 40 min.

Step-by-step explanation:

too long to explain.

Final answer:

In the first scenario, the frog takes 4 hours to get out of the 8-feet deep well. In the second scenario, it takes the frog 8 hours to get out of the 40-feet deep well.

Explanation:

The question is about calculated frog’s movement to get out of a well involving both climbing rate and slip-back rate during rest which brings us into the realm of simple arithmetic and mental math. Let's take each case one at a time.

A. 8 Feet Deep Well

The frog climbs 4 feet per hour but then slips back 2 feet. Therefore, effectively, the frog climbs only 2 feet per hour (4-2=2). After 3 hours, the frog would have climbed 6 feet (3*2=6). In the fourth hour, the frog would climb another 4 feet reaching a total of 10 feet, but since the well is only 8 feet deep, he would have already climbed out. Therefore, it would take the frog 4 hours to climb out of the well.

B. 40 Feet Deep Well

The frog climbs 6 feet per hour and slips back 1 foot, therefore effectively climbs 5 feet per hour (6-1=5). After 7 hours, the frog would have climbed 35 feet (7*5=35). In the eighth hour, the frog would climb additional 6 feet, reaching a total of 41 feet. Again, considering the well is only 40 feet deep, he would have climbed out at this point. So, it would take 8 hours for the frog to climb out of a 40 feet deep well.

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Give an example of a function with both a removable and a non-removable discontinuity.

Answers

Answer:

[tex]\frac{(x+5)(x-3)}{(x+5)(x+1)}[/tex]

Step-by-step explanation:

A removeable discontinuity is always found in the denominator of a rational function and is one that can be reduced away with an identical term in the numerator.  It is still, however, a problem because it causes the denominator to equal 0 if filled in with the necessary value of x.  In my function above, the terms (x + 5) in the numerator and denominator can cancel each other out, leaving a hole in your graph at -5 since x doesn't exist at -5, but the x + 1 doesn't have anything to cancel out with, so this will present as a vertical asymptote in your graph at x = -1, a nonremoveable discontinuity.

Using the continuity concept, it is found that the function with both a removable and a non-removable discontinuity is:

[tex]f(x) = \frac{(x - 1)(x - 2)}{(x - 1)(x - 3)}[/tex]

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

Continuity:

A function is not continuous at points that are outside it's domain.

If the point outside the domain can be factored, it is removable.If the point outside the domain cannot be factored, it is non-removable.

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

An example can be taken considering a function as follows:

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

If a = 1, the term with [tex]x - 1[/tex] in the denominator can be factored with the term with [tex]x - 1[/tex] in the numerator, and this the function will have a removable discontinuity.Now, if for example, b = 3, the term with [tex]x - 3[/tex] cannot be factored, and thus, the function will have a non-removable discontinuity.

The function is:

[tex]f(x) = \frac{(x - 1)(x - 2)}{(x - 1)(x - 3)}[/tex]

A similar example is given at https://brainly.com/question/23496517

find the surface area of the rectangular prism
4x2x3

Answers

Answer:

52

Step-by-step explanation:

Answer:

64 in²

Step-by-step explanation:

Please, include the units of measurement:

"rectangular prism 4 in by 2 in by 3 in."

One side is 4 by 2 in², or 8 in²; another is 4 by 3 in², or 12 in², and the third side is 3 by 4 in², or 12 in².  We have 2 of each side, so the total surface area is

A = 2(8 in² + 12 in² + 12 in²) = 2(32 in²), or 64 in²

Rolling probability of 2

Answers

The answer is 25%

If you roll 20 times in total and you land on two 5 times   5/20 = .25

Hope this helps!

a bottle contains 2.360 ml of a liquid. the total mass of the bottle and liquid together is 6.160g. The mass of the empty bottle is 4.850 g. what is the density of the liquid?
A) 2.610 ml
B) 1.802 ml
C) 0.555 ml
D) 2.055 ml

Answers

Answer:

C.) 0.555

Step-by-step explanation:

This is annoying because we're dealing with decimals.

So, we need to know how density works. Density works by dividing mass (g) by volume (ml).

Since the empty bottle has a mass of 4,850g and the bottle + the liquid have a total mass of 6.160g, we'll subtract the bottle's mass from the total mass, giving us 1.310g. Again, we divide mass by volume to obtain density (which should be listed as g/ml).

1.310 ÷ 2.360 = ~0.555

Therefore, your answer is 0.555

Final answer:

The density of the liquid in the bottle is calculated by dividing the mass of the liquid (found by subtracting the mass of the empty bottle from the total mass when full) by its volume. The correct answer is C) 0.555 ml.

Explanation:

The subject here is density, which is a physical property of a substance that can be calculated by its mass over its volume. In your case, you are being asked to find the density of the liquid inside the bottle. This can be done by first, finding the mass of the liquid alone, then dividing that by the volume of the liquid given in the question.

The mass of the liquid can be found by subtracting the mass of the empty bottle from the total mass of the bottle when full (6.160g - 4.850g = 1.310g). The volume of the liquid is already given as 2.360 ml.

Finally, you compute the density by dividing the mass of the liquid by its volume (1.310g / 2.360 ml = 0.555 g/ml).

So, the correct choice is C) 0.555 ml.

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Which set of ordered pairs is a function?

Answers

Answer:

The second set is a function as none of the x values repeat.

Step-by-step explanation:

In order for a set of ordered pairs to be a function, they must only have one range value for each domain value.

In other words, an x value cannot occur twice.

Within the first set, the value x=2 is repeated 5 times. This means that it is not a function

Within the third set, the value x=1 is repeated twice and x=4 is repeated twice, This means that it is not a function

Within the fourth set, the value x=1 is repeated twice and x=2 is repeated twice, this means that this is not a function

The second set is a function as none of the x values repeat.

Answer:

the second one is a function

Step-by-step explanation:

-3x + 8 <15 find the solution set of the inequality

Answers

Subtract 8 from both sides

-3x < 15 - 8

Simplify 15 - 8 to 7

-3x < 7

Divide both sides by -3

= x > -7/3

Answer:

x > - 2 1/3

Step-by-step explanation:

- 3x + 8 < 15

- 3x < 7

x > - 2 1/3

What are the zeros of the function f(x)= x^2-x-12/ x^2+x-12

Answers

Answer:

x=-3 ;       x= 4

Step-by-step explanation:

zeros of the function are the value of x at which the function becomes zero. Or graphically when the graph line crosses the x-axis those values of x are the zeros of the function.

Finding zeros of given function f(x)= x^2-x-12/ x^2+x-12 by substituting f(x)=0

0=  x^2-x-12/ x^2+x-12

0= (x+3)(x-4)/(x-3)(x+4)

(x+3)(x-4)=0

(x+3)=0  ; (x-4)=0

x=-3 ;       x= 4

the zeros of the function f(x)= x^2-x-12/ x^2+x-12 are at point x=-3 and x= 4 !

Answer:

-3,4

Step-by-step explanation:

A.P.E.X

Let f(x) = 3x2 - 6x + 2. Find f(-2).

A) 20

B) 22

C) 24

D) 26

Answers

Answer:

D) 26

Step-by-step explanation:

f(x) = 3x^2 - 6x + 2

Let x = -2

f(-2) = 3(-2)^2 - 6(-2) + 2

      =3(4) +12+2

      = 12 +12+2

     =26

For this case we have a function of the form [tex]y = f (x).[/tex]

Where:

[tex]f (x) = 3x ^ 2-6x + 2.[/tex]

We must find the value of the function when [tex]x = -2.[/tex]

Substituting we have:

[tex]f (-2) = 3 (-2) ^ 2-6 (-2) +2\\f (-2) = 3 * 4 + 12 + 2\\f (-2) = 12 + 12 + 2\\f (-2) = 26[/tex]

Thus, the value of the function is 26.

Answer:

26

Option D

what is the surface area of this square pyramid

Answers

Answer:

33 ft²

Step-by-step explanation:

We have

the square with side s = 3ft

four triangles with base b = 3ft and height h = 4ft

The formula of an area of a square:

[tex]A=s^2[/tex]

The formula of an area of a triangle:

[tex]A=\dfrac{bh}{2}[/tex]

Substitute:

[tex]A_{\square}=3^2=9\ ft^2[/tex]

[tex]A_{\triangle}=\dfrac{(3)(4)}{2}=\dfrac{12}{2}=6\ ft^2[/tex]

The Surface Area:

[tex]S.A.=A_{\square}+4A_{\triangle}\\\\S.A.=9+(4)(6)=9+24=33\ ft^2[/tex]

Answer:

33 ft&²

Step-by-step explanation:

multiply 4x3x3 = 36 and put half of 6, then it is 33 33ft²

Find m< ABC (4x+2) (7x-19)

Answers

Answer:

<ABC = 30°

Step-by-step explanation:

Vertical angles are equal

So

4x+2 = 7x - 19

-7x + 4x = -19 - 2

-3x = -21

   x = 7

<ABC = 4(7) + 2 = 28 + 2 = 30

<ABC = 30°

The answer is A right?

Answers

Answer:

C. 42

Step-by-step explanation:

PEMDAS

1. Parentheses: (4 + 2) = 6

6² + 3 • 2

2. Exponents: 6² = 36

36 + 3 • 2

3. Multiplication/Division: 3 • 2 = 6

36 + 6

4. Addition/Subtraction: 36 + 6 = 42

42

What is the benefit of using expressions in math?

Answers

Answer:

To help you understand the problem with out actually doing the work, you are just writing it out.

Step-by-step explanation:

Answer:

The benefits of using expressions in math is to know what you are supposed to be using to solve your problem. Expression area good use too also for word problems!!

Step-by-step explanation:

Plz mark Brainlist!!!

10 mm
4 mm
u What is the volume of the cone to the nearest whole number?

Answers

Answer:

V=167.5 cubic mm

Step-by-step explanation:

Volume of the Cone is given with the formula

[tex]V=\frac{1}{3} \pi r^2h[/tex]

though we are not specified what is radius and which one is the height , we are assuming that ,

Height = 10 mm

Radius = 4 mm

Substituting these values in the formula we get

[tex]V=\frac{1}{3} \pi 4^2 \times 10[/tex]

[tex]V=\frac{1}{3} \pi 160[/tex]

[tex]V=\frac{160 \times 3.14}{3}[/tex]

[tex]V=\frac{160 \times 3.14}{3}[/tex]

[tex]V=\frac{502.40}{3}[/tex]

[tex]V=167.5[/tex]

Helppp????? Answer????

Answers

Answer:

No. of sweets Sue has = (18-x) -5

No. of sweets Tony has = (18+x)/2

Step-by-step explanation:

Sue has sweets = 18

Tony has sweets = 18

Sue give Tony  sweets = x

Sweets left for Sue = 18 - x

Sweets for Tony = 18 + x

Sue eats 5 sweets = (18-x) -5

Tony eat half of his sweets = (18 +x)/2

No. of sweets Sue has = (18-x) -5

No. of sweets Tony has = (18+x)/2

50 points!

For which rational expression is -5 an excluded value of x?
A) x-5/6
B) x+5/6
C) 6/x-5
D) 6/x+5

Answers

Answer:

D

Step-by-step explanation:

An excluded value is any value of x that makes the denominator of the rational expression zero as this would make the expression undefined.

Consider expression D

[tex]\frac{6}{x+5}[/tex]

This will be undefined when

x + 5 = 0 ⇒ x = - 5 ← excluded value → D

Answer:

D) 6/x+5

Hope this helps :)

Have a great day !

5INGH

Step-by-step explanation:

In this example, we will use D

x + 5 = 0 ⇒ x = - 5 ( Excluded value )

The figure shows a blueprint of a dining room, kitchen, and living room. Each square has a side length of 1/4 inch. Tile costs $7 per square foot. What is the cost of the tile for the kitchen?

The cost of the tile for the kitchen is $___

Answers

Answer:

The cost of the tile for the kitchen is $1,680

Step-by-step explanation:

step 1

we know that

The scale drawing is [tex]\frac{1}{16}\frac{in}{ft}[/tex]

The dimensions of the kitchen in the blueprint are

L=3(1/4)=3/4 in

W=5(1/4)=5/4 in

step 2

Find the actual dimensions of the kitchen

Divide the dimensions of the kitchen in the blueprint by the scale drawing

L=(3/4)/(1/16)=12 ft

W=(5/4)/(1/16)=20 ft

The area is equal to

A=(12)(20)=240 ft²

step 3

Find the cost of the tile for the kitchen

7(240)=$1,680

Answer:

Cost of the tiles for the kitchen is $1680

Step-by-step explanation:

From the figure attached,

Dimensions of the kitchen = 5 small squares by 3 small squares

Since 1 small square = [tex]\frac{1}{4}[/tex] inch

So the dimensions of the kitchen in inches = [tex]\frac{5}{4}[/tex] inches by [tex]\frac{3}{4}[/tex] inches

Map Scale has been given as

1 inch = 16 ft

Therefore actual dimensions of the kitchen will be

[tex]\frac{5}{4}\times 16[/tex] ft by [tex]\frac{3}{4}\times 16[/tex] ft

= 20 ft by 12 ft

Area of the kitchen = 20×12

= 240 ft²

Per square feet tile cost = $7

So the cost of tiling 240 ft² will be = 240 × 7

= $1680

Therefore, cost of the tiles for the kitchen is $1680

Given ax^+bx+c=2(1.2x+0.3)(x-0.5)+(0.5x^+2.5x-1.3). What are the values of a,b, and c?

Answers

For this case we must find the values a, b, c:

[tex]2 (1.2x + 0.3) (x-0.5) + (0.5x ^ 2 + 2.5x-1.3) =\\(2.4x + 0.6) (x-0.5) + (0.5x ^ 2 + 2.5x-1.3) =[/tex]

We apply distributive property:

[tex](2.4x ^ 2-1.2x + 0.6x-0.3) + (0.5x ^ 2 + 2.5x-1.3) =\\(2.4x ^ 2-0.6x-0.3) + (0.5x ^ 2 + 2.5x-1.3) =[/tex]

We finish the term:

[tex]2.9x ^ 2 + 1.9x-1.6[/tex]

Answer:[tex]a = 2.9\\b = 1.9\\c = -1.6[/tex]

A line passes through the points (p, a) and (p, –a) where p and a are real numbers and p ≠ 0. Describe each of the following. Explain your reasoning.

Answers

Answer:

Part A) The slope is undefined

Part B) The equation of the line is [tex]x=p[/tex]

Part C) None y-intercept

Part D) The slope of a line perpendicular to the given line is equal to zero

Step-by-step explanation:

we have that

Describe

A) slope of the line

B) equation of the line

C) y-intercept

D) slope of a line perpendicular to the given line

Part A) slope of the line

we know that

The formula to calculate the slope between two points is equal to

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

we have

[tex](p,a)\ (p,-a)[/tex]

Substitute the values

[tex]m=\frac{-a-a}{p-p}[/tex]

[tex]m=\frac{-2a}{0}[/tex]  -----> the slope is undefined

Its a vertical line (parallel to the y-axis)

Part B) Equation of the line

we know that

The equation of a vertical line is equal to the x-coordinate of the points through which the line passes.

so

[tex]x=p[/tex]

Part C) The y-intercept

The y-intercept is the value of y when the value of x is equal to zero

The vertical line not intercept the y-axis

so

None y-intercept

Part D) slope of a line perpendicular to the given line

A line perpendicular to the given line is a horizontal line (parallel to the x-axis)

therefore

The slope is equal to zero

The side of a square measures 3mn2? What is the area of the square if x = -2 and y = 2?

Answers

Answer:

ur  cute

Step-by-step explanation:

What is the area of this figure ?

Answers

The area of the figure which is composed of a rectangle and a square is 76 km²

What is the area of the composite figure?

The figure in the image is composed of a rectangle and a square.

The area of a rectangle = length × width

The area of a square = length²

To determine the area of the figure, we add the area of the rectangle and the area of the square.

Area of the figure = ( length × width ) + ( length² )

Plug in the given dimensions:

Area of the figure = ( 9 km × 8km ) + ( 2 km )²

Simplifying; we get:

Area of the figure = 72 km² + 4 km²

Area of the figure = 76 km²

Therefore, the area of the composite figure measures 76 km².

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Find the area of a triangle which has a base of 22cm and a height of 16cm

Answers

The area of the triangle will176 because 22×16 you will 352 s you just need to divide that by two and you get 176 so you your total area for the triangle is 176 and don’t forget put as square

Math 3: First question on the attached file

Answers

Step-by-step explanation:

cos 330°=cos ( 360 -30)

In fourth quad the value of cos A is positive .

All angles when subtracted by multiple of 180° or (π) the function remain same

cos (30°)=√3/2

Also-

Cos(330)=Cos(360–30)

since Cos(360-x)=cos(x) where x is in degree

Cos(330)=Cos(30)= √ 3 /2 ~ 0.866

Answer:

Answer:

cos ( 330 º ) = √ 3 /2

Explanation:

Remember that  

cos ( a − b ) = cos ( a ) cos ( b ) + sin ( a ) sin ( b )

and that  

330 º = 360 º − 30 º , so

cos ( 330 º ) = cos ( 360 º − 30 º ) = cos ( 360 º ) cos ( 30 º ) + sin ( 360 º ) sin ( 30 º )

The cosine, sine, tangent and secant of 360º equal the cosine, sine, tangent and secant of 0º respectively. We know that  

sin 0 º  is 0, and that  cos 0 º = 1  so

cos ( 330 º ) = 1 ⋅ cos ( 30 º ) + 0 ⋅ sin ( 30 º )

cos ( 330 º ) = √ 3 /2

Hope This Helps!  Have A Nice Day!!

Which is a counterexample for the conditional statement shown?

If two distinct points are graphed on a coordinate plane, then the line connecting the points can be represented with a function.

The points have the same x-coordinate value.
The points have the same y-coordinate value.
The points follow the rule (x, y) (–x, –y).
The points follow the rule (x, y) (–y, –x).

Answers

Answer: First Option

The points have the same x-coordinate value.

Step-by-step explanation:

By definition, a relation is considered a function if and only if for each input value x there exists only one output value y.

So, the only way that the line that connects two points in the coordinate plane is not a function, is that these two points have the same coordinate for x.

For example, suppose you have the points (2, 5) and (2, 8) and draw a line that connects these two points.

The line will be parallel to the y axis.

Note that the value of x is the same x = 2. But when x = 2 then y = 5 and y = 8.

There are two output values (y = 8, y = 5) for the same input value x = 2.

In fact all the vertical lines parallel to the y-axis have infinite output values "y" for a single input value x. Therefore, they can not be defined as a function.

Then the correct option is:

The points have the same x-coordinate value.

The grass in jamie's yard grew 16 centimeters in 10 days.It was growing at a constant rate. How many days did it take the the grass to grow 1 centimeter?,How many centimeter did the grass grow in 1 day? ​

Answers

Answer:

1.6 cm

0.625 day

Step-by-step explanation:

We are given that the grass in Jamie's yard grew 16 cm in 10 days.

It was growing at constant rate.

We have to find number of days taken by the grass to grow 1 cm and how many cm  grass grow in one day.

In 10 days , grass grow=16 cm

In 1 day, grass grow=[tex]\frac{16}{10}=1.6 cm[/tex]

Grass takes time to grow 16 cm=10 days

Grass takes time to grow 1 cm=[tex]\frac{10}{16}[/tex]=0.625 days

Hence, the grass grow 1 cm in 0.625 days and the grass grow 1.6 cm in one day.

Final answer:

To find the number of days it took for the grass to grow 1 centimeter, divide the number of days by cm of growth. This equals 0.625 days. To find how many centimeters the grass grew in a day, divide the total growth by the total number of days. This equals 1.6 centimeters per day.

Explanation:

The problem states that the grass in Jamie's yard grew 16 centimeters in 10 days at a constant rate. We can set up two equal ratios to find out how many days it took for the grass to grow 1 centimeter and how many centimeters it grew in 1 day.

Firstly, to determine the number of days it took for the grass to grow 1 centimeter, you can divide the number of days (10) by the number of centimeters (16). This gives us 10/16 = 0.625 days for the grass to grow 1 centimeter. Secondly, to determine how many centimeters the grass grew in 1 day, you would divide the total growth (16 centimeters) by the total number of days (10). This results in 16/10 = 1.6 centimeters of growth per day.

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