Mathematics Middle School

A landscaper buys a tree that grows at a rate of 18 inches every 3 months.

How much does it grow in 1 year?

A. 30 in.

B. 36 in.

C. 54 in.

D. 72 in.

A plant grows 9 in. every 2 months.

How will it grow in a year?

A. 18 in.

B. 36 in.

C. 54 in.

D. 108 in.


Answers

Answer 1

1 it grows 18 inches every 3 months

 there are 12 months in 1 year

12 dived by 3 = 4 so there are 4 times it will grow 18 inches

18 * 4 = 72 inches, amount it grows in 1 year

 Answer is D


2. it grows 9 inches every 2 months

 12/2 = 6 times a year it will grow

 9 *6 = 54 inches total for 1 year

 Answer is C

Related Questions

The dimension of a community garden are such that the length is 7 feet shorter than 5 times the width. Which equation models the area, in square feet, of the community garden in terms of its width, w?

a. A=w(5w-7)
b. A=w(7w-5)
c. A=5w(w-7)
d. A=7w(w-5)

Answers

Start with the known/given information:

"the length is 7 feet shorter than 5 times the width"
We can write this as:
[tex]l=5w-7[/tex]

We also know that area is width times length:
[tex]A=wl[/tex]

Now we can substitute our expression for [tex]l[/tex]:
[tex]A=wl[/tex]
[tex]A=w(5w-7)[/tex]

And there we go, our answer is 'A'. 

draw the following scenario using a vertical number line.

mary climbed up a ladder 24 feet to the second story of her house. she then climbed back down

Answers

you would move your point 24 up from the starting point then move it three down from the 24 so if you start at zero go to 24 then move it down to 21.

Final answer:

To draw Mary's ascent and descent on a ladder, create a vertical number line from 0 to 24 feet to signify the height of the second story, then illustrate arrows for the ascent and descent.

Explanation:

To visualize Mary's movement on a ladder, we will draw a vertical number line. Let's assume the bottom of the ladder is at 0 feet. We will draw a number line up to 24 feet to represent the height Mary climbs to reach the second story of her house. Then, since Mary climbed back down, we would show her descent back to 0 feet. Here is how you can draw the scenario:

Start with a vertical line.Mark the bottom as 0 feet (this is where Mary starts and finishes).Mark a point at 24 feet (this is where the second story of her house is).Draw an arrow pointing up from 0 to 24 to represent Mary climbing up.Draw an arrow pointing down from 24 back to 0 to represent Mary climbing down.

By following these steps, you will have a clear representation of Mary climbing up and down her ladder on a vertical number line.

Florida is 65,754.59 square miles what is the area of Florida rounded to the nearest tenth

Answers

You round 65,754.59 square miles to 65,754.6.

The Area of Florida is 65,754.6

What is rounding a number to some specific place?

Rounding some number to a specific value is making its value simpler (therefore losing accuracy), mostly done for better readability or accessibility.

Given that Florida is 65,754.59 square miles

rounding this nearest to tenth will be  65,754.6  square miles

Therefore, Area of Florida is 65,754.6 square miles

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24 divided by 689 show work

Answers

0.034833091436865              This is the answer. Sorry   but can't show work
           28.706    
       ___________
   24) 689.

How many times greater is the value 34.3 than the value 3.43? Explain your thinking

Answers

it would 10 times great since 3.43 x 10= 34.3

Josh's chicken soup recipe calls for 2 1\2 L of chicken stock. Josh makes 3 1\4 times the recipe for a family reunion. How much chicken stock does Josh use to make soup for the family reunion? Express your answer as a mixed number in the simplest form.

Answers

Just multiply :
2 1/2•3 1/4=

2.5•3.25=

8.125 = 8 1/8
8 1/8 is your answer!

Hoped I helped!

Answer:

[tex]8\frac{1}{8}[/tex] L

Step-by-step explanation:

A recipe of chicken soup calls for chicken stocks = [tex]2\frac{1}{2}[/tex] L

Josh makes [tex]3\frac{1}{4}[/tex] times the recipe

= [tex]3\frac{1}{4}[/tex] × [tex]2\frac{1}{2}[/tex]

= [tex]\frac{13}{4}[/tex] × [tex]\frac{5}{2}[/tex]

= [tex]\frac{65}{8}[/tex]

= [tex]8\frac{1}{8}[/tex]

Josh would use [tex]8\frac{1}{8}[/tex] L of chicken stocks.

Evaluate the expression when y = 4. 5 + y + 8 A. 72 B. 21 C. 17 D. 13

Answers

A. Is the answer to your question

Answer: its c

Step-by-step explanation:

5+4=9 9+8=17

Do the fractions 6/7 and 16/25 convert to repeating or terminating decimal numbers

Answers

6/7 converts to repeating decimal numbers. You could represent it, so you don't have to repeat the decimals infinitely, by putting a bar over the repeating decimals like 0.857142 with a bar going over from the 8 to the 2.

16/25 can be converted to a terminating decimal number - 0.64.

Answer:

reapeating and terminating

Step-by-step explanation:

Color count on facts

Answers

color count on facts?
7 colors?????????????????

Point A is located at negative 5 over 8 and point B is located at negative 2 over 8 . What is the distance between points A and B? (1 point)

negative 5 over 8 minus negative 2 over 8 = negative 3 over 8 ; therefore, the distance from A to B is absolute value of negative 3 over 8 equals 3 over 8 units

negative 5 over 8 minus negative 2 over 8 = negative 3 over 8 ; therefore, the distance from A to B is absolute value of negative 3 over 8 equals negative 3 over 8 units

negative 5 over 8 plus negative 2 over 8 = negative 7 over 8 ; therefore, the distance from A to B is absolute value of negative 7 over 8 equals 7 over 8 units

negative 5 over 8 plus negative 2 over 8 = negative 7 over 8 ; therefore, the distance from A to B is absolute value of negative 7 over 8 equals negative 7 over 8 units

Answers

The answer is A, hope it helps!
The answer is the first one, that it equals 3 over 8. Thanks!

luci cuts a board that is 3/4 yard long into pieces that are 3/8 yard long how many does she cut

Answers

Let’s get a common denominator for 3/4 and 3/8. 8 is our LCD so let’s multiply 3/8 by 2 on both the top and bottom. 3/8 then becomes 6/8. How many 3/8 are in 6/8? The answer is 2 because 3/8 + 3/8 is 6/8. So she cuts 2 pieces.

Answer: She cuts 2 pieces

Step-by-step explanation:

Hi, to answer this question we have to analyze the information given:

Length of the board: 3/4 yard Length of the pieces: 3/8 yard

So, to calculate the number of pieces we have to divide the length of the board (3/4) by the length of each piece (3/8)

Mathematically speaking:

3/4 ÷ 3/8 = (3x8) /(4x3)=24/12= 2  pieces

Feel free to ask for more if needed or if you did not understand something.

Find a degree 3 polynomial having zeros -8, 1 and 8 and the coefficient of x^3 equal 1

Answers

"zeros" are solutions for x that make the equation equal to zero.

(x - 8)(x + 8)(x - 1) = 0

For a given input value q, the function f outputs a value r to satisfy the following equation. 11q-4=3r-6, Write a formula for f(q) in terms of q

Answers

Final answer:

To find the formula for f(q), solve the equation 11q-4=3r-6 for r. The steps include adding 6 to both sides and then dividing by 3, resulting in f(q) = (11q + 2) / 3.

Explanation:

To write a formula for f(q) in terms of q, we need to solve the equation 11q - 4 = 3r - 6 for r, the output of the function f. First, we add 6 to both sides to isolate the terms with r on the right side of the equation:

11q - 4 + 6 = 3r - 6 + 6

11q + 2 = 3r

Next, we divide both sides by 3 to solve for r:

(11q + 2) / 3 = 3r / 3

(11q + 2) / 3 = r

Therefore, the formula for f(q) is:

f(q) = (11q + 2) / 3

The Temperature in Indianapolis was -4°F at 7 AM the temperature rose 3°F by noon what was the temperature at noon use a number line to find the answer

Answers

-1 degrees Fahrenheit
-1 degrees at noon. 
Hope this Helps

b. What is the probability that the mean price for a sample of 50 H&R Block retail customers is within $8 of the population mean?

Answers

Given the question:

The mean tax-return preparation fee H&R Block charged retail customers last year was $183 (The Wall Street Journal, March 7, 2012). Use this price as the population mean and assume the population standard deviation of preparation fees is $50.

Round your answers to four decimal places.

a. What is the probability that the mean price for a sample of 30 H&R Block retail customers is within $8 of the population mean?

b. What is the probability that the mean price for a sample of 50 H&R Block retail customers is within $8 of the population mean?

c. What is the probability that the mean price for a sample of 100 H&R Block retail customers is within $8 of the population mean?



Part A:

The probability that a sample of size, n, of a normally distributed data with a mean of μ, and standard deviation of σ, is within, a, units of the mean is given by

 [tex]2P(X\ \textless \ a)-1=2P\left(z\ \textless \ \frac{a}{\sigma/\sqrt{n}} \right)-1[/tex]

Thus, the probability that the mean price for a sample of 30 H&R Block retail customers is within $8 of the population mean is given by:

[tex]2P\left(z\ \textless \ \frac{8}{50/\sqrt{30}} \right)-1=2P(z\ \textless \ 0.8764)-1 \\ \\ =2(0.80958)-1=1.61916-1=\bold{0.6192}[/tex]



Part B:

The probability that the mean price for a sample of 50 H&R Block retail customers is within $8 of the population mean is given by:

[tex]2P\left(z\ \textless \ \frac{8}{50/\sqrt{50}} \right)-1=2P(z\ \textless \ 1.131)-1 \\ \\ =2(0.87105)-1=1.7421-1=\bold{0.7421}[/tex]



Part C:

The probability that the mean price for a sample of 50 H&R Block retail customers is within $8 of the population mean is given by:

[tex]2P\left(z\ \textless \ \frac{8}{50/\sqrt{100}} \right)-1=2P(z\ \textless \ 1.6)-1 \\ \\ =2(0.9452)-1=1.8904-1=\bold{0.8904}[/tex]

Which graph models the equation -2x + 4y = -8?

Answers

The graphs for this are very small, but I think the one that represents the solution is the third one, because with the x being 4 and the y being 0, that would make the point (4, 0) and satisfy the equation. With x being 0 and y being -2, the other point would be (0, -2). The graphs are too small to read, but whichever graph intersects over those two points I named is the answer.

The graph below shows the price of different numbers of hats at a store:

A graph is shown. The values on the x-axis are 0, 2, 4, 6, 8, 10. The values on the y-axis are 0, 13, 26, 39, 52, and 65. Points are shown on ordered pairs 0, 0 and 2, 13 and 4, 26 and 6, 39 and 8, 52. These points are connected by a line. The label on the x-axis is Number of Hats. The title on the y-axis is Price in dollars.
Which equation can be used to determine p, the cost of h hats? (1 point)


h = 6.50p

p = 13h

p = 6.50h

h = 13p

Answers

Since p is the cost of h hats, the output is the p and the input is h.
p=?h

Now we find the slope by using m=(y2-y1)/(x2-x1) and points (2,13), (4,26)
m=(26-13)/(4-2)=13/2=6.5

OR using the proportionality constant since y is a direct variation to x
K=y/x=13/2=6.5

Solution: p=6.5h

p=6.50h yeah ur welcome

describe the transformation of the parent function f(x)=x^2 to 1/2 (x+1)^2-5

Answers

The parent function was moved left one and down five. It also opened up due to the 1/2

mathematicssssssssssss bruhhhhhh

Answers

Answer:  " b = 3 ⅕ ; or, write as: 3.2  .
_____________________________________
Given:  "A = (1/2) * b * h " ;

 ↔  A = (b * h) / 2 

2A = (b*h) ;

2A/ h = b ;

↔ b = (2A) / h ;

Given A = 48 ;  and h = 30 ; Plug in these values; and solve for "b" ; 

→ b = (2*48) / 30 ; 

        = 96/30 ; 

        = (96÷6) / (30÷6) ;

→ b = 16/5 ;  = 3 ⅕ ; or, write as: 3.2 .
_______________________________

What system of linear inequalities is shown on the graph?

Answers

top is the dotted , bottom is the solid

Answer:

[tex]3y-x<6[/tex]

[tex]2x+y\leq2[/tex]

Step-by-step explanation:

Equation of line that passes two points (a,b) and (c,d) :

[tex](y-b)=\dfrac{d-b}{c-a}(x-a)[/tex]

Dotted line passes through (0,2) and (-3,1).

Equation of Dotted line :

[tex](y-2)=\dfrac{1-2}{-3-0}(x-0)[/tex]

[tex](y-2)=\dfrac{-1}{-3}x[/tex]

[tex]3(y-2)=x[/tex]

[tex]3y-6=x[/tex]

[tex]3y-x=6[/tex]

Inequality for dotted line (values on line is not included for dotted)

[tex]3y-x<6[/tex]  (shaded below )

Solid line passes through (0,2) and (1,0)

[tex](y-2)=\dfrac{0-2}{1-0}(x-0)[/tex]

[tex]y-2=-2x[/tex]

[tex]2x+y=2[/tex]

Inequality for dotted line (values on line is included for solid line)

[tex]2x+y\leq2[/tex] (shaded leftwards )

∴ System of linear inequalities is shown on the graph:

[tex]3y-x<6[/tex]

[tex]2x+y\leq2[/tex]

If one-third of a number is greater than five less than twice the number, which of the following is true? x < 3, x > -3, x > -3/5, x < 3/5

Answers

the answer is gonna be x<3

Answer:  The correct option is

(A) x < 3.

Step-by-step explanation:  Given that one-third of a number is greater than five less than twice the number.

We are to select the inequality that is TRUE.

Let the required number be represented by x.

Then, according to the given information,we have

[tex]\dfrac{1}{3}x>2x-5\\\\\\\Rightarrow x>3(2x-5)\\\\\Rightarrow x>6x-15\\\\\Rightarrow x-6x>-15\\\\\Rightarrow -5x>-15\\\\\Rightarrow 5x<15~~~~~~~~~~[\textup{since }-a>-b~~~\Rightarrow a<b]\\\\\Rightarrow x<\dfrac{15}{5}\\\\\Rightarrow x<3.[/tex]

Thus, the true statement is x < 3.

Option (A) is CORRECT.

Boxes that are 12 inches tall are being stacked next to boxes that are 18 inches tall. What is the shortest height at which the two stacks will be the same height

Answers

The shortest height the two stacks will be the same is 36 inches high, because both 12 and 18 go into 36. 12 times 3 and 18 times 2
Final answer:

The two stacks will be the same height when stacked to a height of 6 inches.

Explanation:

To find the shortest height at which two stacks of boxes, one measuring 12 inches tall and the other measuring 18 inches tall, will be the same height, we need to find the least common multiple (LCM) of the two heights. Since 12 and 18 are both divisible by 6, the LCM is 6 inches. Therefore, the two stacks will be the same height when stacked to a height of 6 inches.

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what is 0.279 times 53

Answers

Final answer:

To calculate 0.279 times 53, multiply 279 by 53 and then place the decimal point three places from the right of the product, resulting in 14.787. If rounding to two decimal places, the answer is 14.79.

Explanation:

To find the product of 0.279 times 53, we can follow the usual multiplication process. We multiply as if there were no decimal places, and then we count the total number of decimal places in both numbers to place the decimal in the correct position in the final answer.

0.279 has three decimal places, and 53 has none. After you multiply 279 by 53, count three places from the right of the resulting number to place the decimal point. So, if 279 times 53 equals 14787, then 0.279 times 53 equals 14.787.

Applying the rules of rounding, if we wanted to round the result to two decimal places we would get 14.79 since the third decimal place is a 7 which rounds up the second decimal place from 8 to 9.

Use the interactive tool to graph the line given the following information:
    coordinates (1,–3)
    slope of –2
Based on your investigation, what is the value of b for the point (0,b)?

Answers

Based on your investigation, what is the value of b for the point (0,b)?
-1

Answer:

B=  -1

Step-by-step explanation:

Our galaxy the Milky Way has a diameter of about 1•^10

Answers

This is all that is gave you? If it did
Well this is the answer
The stellar disk of the Milky Way Galaxy is approximately 100,000 light-years (9×1017 km) (6×1017 mi) in diameter, and is considered to be, on average, about 1,000 light-years (9×1015 km) thick. It is estimated to contain at least 200 billion stars and possibly up to 400 billion.

One of your friends gives you $10 for a charity walkathon. Another friend gives you an amount per mile. After 5 miles, you have raised $13.50 total. Write an equation that represents the amount y of money you have raised after x miles.

Answers

One of your friends gives you $10 for a charity walkathon -- this is your beginning amount.
Another friend gives you an amount per mile -- you will to calculate this value.
After 5 miles, you have raised $13.50 total --
-- Since one friend gave you $10.00, subtract this from the $13.50 to give you the amount by walking the 5 miles 
-- $10.00 - $13.50 = $3.50
-- Since you walked 5 miles, divide $3.50 by 5 to give you $0.70 per mile earned.

So, an equation that represents the amount of money earned is: y = $0.70x+$10.00.
This is in slope-intercept form; the slope is $0.70 and represents the amount of money earned per mile and the intercept is $10.00 and represents the initial amount of money that you were given.

The initial amount given is $10, this represents a constant

Now another friends is willing to give an amount which is not fixed, hence it is dependent on the amount if miles we walk

Let this variable amount be x

We have walks 5 miles in total

We have raid is 13.5 total amount

Therefore he expression to represent the total amount we have made is given as

10+5x= 13.50

Let us solve for x

subtract 10 from both sides we have

5x= 13.5-10

5x= 3.50

divide both sides by 5 we have

x = 3.5/5

x= 0.7

Hence our friend gives us $0.7 per mile

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Lorraine writes the equation shown.

x² + y - 15 = 0
She wants to describe the equation using the term relation and the term function.

The equation represents,
A relation and a function
A relation but not function
A function but not a relation
Neither a relation nor a function

Answers

A function is a relation. But a relation is not necessary to be a function. A relation becomes a function if every input just yields an unique output. In this case, we can rewrite the equation as follows.
[tex]y=-x^2+15[/tex]

This equation definitely reflect a relation. In addition, if we plug any x-value in for x, we only get one output for y. So this is also a function.

Thus, the right choice is A. 




The table shows the shipping costs for items of different values.





Which best describes the strength of the model?


a weak positive correlation

a strong positive correlation

a weak negative correlation

a strong negative correlation

Answers

Answer:

A strong positive correlation

Step-by-step explanation:

Since the dependent variable increases as the independent variable increases, this is a positive correlation.

Plotting these points, we can see that they form a nearly straight line.  This makes it a strong correlation.

A strong positive correlation best describes the strength of the given model. So, option B is correct.

What is the correlation coefficient?

The correlation coefficient is used to measure the strong relationship between the two variables.

The formula for the correlation coefficient

[tex]r= \frac{n(\sum xy)-(\sum x)(\sum y)} {\sqrt{ {[n\sum x^2-(x)^2] [n\sum y^2-(\sum y)^2]}}}[/tex]

We need to calculate the correlation coefficient and then make a conclusion about its value.

Form a table as shown where x is the cost of items and y is the shipping cost. The table becomes

x               y              XY               x²              y²

25           5.99        149.8          625         35.9

45            8.99       404.6         2025       80.8

50            8.99       449.5         2500       80.8

70            10.99      769.3         4900       120.8

190          34.96      1773.2        10050      318.3

The formula for the correlation coefficient

[tex]r= \frac{n(\sum xy)-(\sum x)(\sum y)} {\sqrt{ {[n\sum x^2-(x)^2] [n\sum y^2-(\sum y)^2]}}}[/tex]

where n=4

[tex]= \frac{ 4(1773.2)-(190)(34.96)} {\sqrt{{[4(10050)-190^2] [4(318.3)-34.96^2]}} }[/tex]

r[tex]=\frac{450}{4100\times51}[/tex]

r = 450 / √209100

r = 450/457.3

r = 0.98409

Thus, The value of r indicates a stronger positive correlation.

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write the equation for the transformation of the graph of y=f(x). use the form f(x)=a(x-h)+k. 13. translated 2 units left and 7 units down. 14. translated 5 units right, 2 units up, and stretched by a factor of 3.

Answers

13)  f(x)  =  a ( x + 2 ) - 7 

14) f(x) = 3 ( x - 5 ) + 2 

The equations of the graph after respective transformations are;

13) f(x) = a(x + 2) - 7

14) f(x) = 3(x - 5) + 2

13) In transformations, when we translate a function to the left, it means we will add the number of units it is translated to the left to f(x).

Thus, if we translate 2 units to the left, then using the form f(x) = a(x - h) + k, we will have;

f(x) = a(x + 2) + k

This is because;

h = horizontal shift

k = the vertical shift

a = the factor of stretch.

Now, we are told that it is translated 7 units down.

Downward translation denotes subtraction. Thus, k = -7 and our final translated function is;

f(x) = a(x + 2) - 7

14) Using the same concept above;

Translation of 5 units to the left means h = -5

Also, translation of 2 units up means that k = +2

Stretching by a factor of 3 means that a = 3.

Thus, from the form; f(x) = a(x + h) + k, we have;

f(x) = 3(x - 5) + 2

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Determine the correct scientific notation form of the number. 3,708,000,000\

 A) 3.708 x 106

B) 3.708 x 109

C) 37.08 x 106

D) 37.08 x 108

Answers

3,708,000,000

Let's count to the left and stopping at a value that lies between 1 and 10.

When we do so, we stop at 3.708.
Moving to the right creates a POSITIVE exponent of 9.

Answer: 3.708 x 10^9

Choice B

The scientific notation of the given number is 3.708 × [tex]10^9[/tex]. Therefore, option B is the correct answer.

The given number is 3,708,000,000.

What is scientific notation?

Scientific notation is a way of writing very large or very small numbers. A number is written in scientific notation when a number between 1 and 10 is multiplied by a power of 10.

If the given number is multiples of 10 then the decimal point has to move to the left, and the power of 10 will be positive.

Now, 3,708,000,000 can be written in scientific notation as 3.708 × [tex]10^9[/tex].

The scientific notation of the given number is 3.708 × [tex]10^9[/tex]. Therefore, option B is the correct answer.

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