Felipe planted some seeds for a science project. One of his plants grew 6 2/7 inches in the first week, and then it grew 5 11/14 inches during the second week. How much did the plant grow during these two weeks? The answer should be written as a proper mixed number and should be simplified, if possible.

Answers

Answer 1

Answer:

The plant grew [tex]12\frac{1}{14}[/tex] inches

Step-by-step explanation:

Operations with Fractions

Felipe planted seeds for a science project. One of the plants grew 6 2/7 inches in the first week and 5 11/14 inches in the second week.

We are required to find the total growth during the two weeks. We have to find the sum of:

[tex]6\frac{2}{7}+5\frac{11}{14}[/tex]

Let's convert both fractions to improper form:

[tex]6\frac{2}{7}+5\frac{11}{14}=6+\frac{2}{7}+5+\frac{11}{14}[/tex]

Adding the integers:

[tex]6\frac{2}{7}+5\frac{11}{14}=11+\frac{2}{7}+\frac{11}{14}[/tex]

Now we find the LCM of 7 and 14 is 14, thus:

[tex]6\frac{2}{7}+5\frac{11}{14}=11+\frac{4}{14}+\frac{11}{14}[/tex]

[tex]6\frac{2}{7}+5\frac{11}{14}=11+\frac{15}{14}=11+\frac{14+1}{14}[/tex]

[tex]6\frac{2}{7}+5\frac{11}{14}=11+1+\frac{1}{14}[/tex]

[tex]6\frac{2}{7}+5\frac{11}{14}=12+\frac{1}{14}[/tex]

Rewriting as a mixed number:

The plant grew [tex]12\frac{1}{14}[/tex] inches


Related Questions

Peter wrote five numbers. Which of peters numbers can be divided into 7 equal groups with 0 left over? Choose that all apply 56, 52, 42, 35, 27,

Answers

Answer:

56

42

35

Step-by-step explanation:

The perimeter of a triangle is 19 units. The second side is four units longer than the first side and the third side is three times the length of the first side. What are the lengths of the sides?

Answers

Answer:

First: 3 units Second: 7 units Third: 9 units

Step-by-step explanation:

19=x+(x+4)+3x

19=5x+4

15=5x

x=3

first side is 3 units

3+4=7

second side is 7 units

3*3=9

third side is 9 units

1. Find the factored form of f(x) given it has x-intercepts (-3,0) and (4,0) and f(1)= -6. 2. Find the equation for f(x) given that it has roots of 2 and -3 and f(0)=12. Please someone help

Answers

Answer:

1) f(x) = 0.5*(x + 3)*(x - 4)

2) f(x) = -2*x^2 - 2*x + 12

Step-by-step explanation:

Wen we have a quadratic function like:

f(x) = a*x^2 + b*x + c*x

And it has roots at x1 and x2, we can write the function in the factored form as:

f(x) = a*(x - x1)*(x - x2)

then:

1) we have x-intercepts at: (-3, 0) and (4, 0) (then the roots of this function are x = -3 and x =4) and we know that f(1) = -6

we have:

x1 = -3

x2 = 4

then we can write f(x) as:

f(x) = a*(x - (-3))*(x - 4)

f(x) = a*(x + 3)*(x - 4)

Where a is a real number.

and now we can use the fact that f(1) = -6

then:

f(1) = a*(1 + 3)*(1 - 4) = -6

       a*4*(-3) = -6

       a*-12 =  -6

       a = -6/-12 = 1/2 = 0.5

Then the function is:

f(x) = 0.5*(x + 3)*(x - 4)

2) Now we have roots x = 2 and x = .3

Then:

x1 = 2

x2 = -3

Then this function is something like:

f(x) = a*(x - 2)*(x - (-3))

f(x) = a*(x - 2)*(x + 3)

Now we know that f(0) = 12.

then:

f(0) = a*(0 - 2)*(0 + 3) = 12

         a*(-2)*3 = 12

          a*(-6) = 12

          a = 12/-6 = -2

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

And we do not want this one written in factored form, so we can just distribute the multiplications to et:

f(x) =  -2*(x - 2)*(x + 3) = (-2*x + 4)*(x + 3) = -2*x^2 + 4*x - 6*x + 12

f(x) = -2*x^2 - 2*x + 12

Q1. Which of the following are well-defined sets?
(a) All the colors in the rainbow.

(b) All the points that lie on a straight line.

(c) All the honest members in the family.

(d) All the consonants of the English alphabet.

(e) All the tall boys of the school.

(f) All the efficient doctors of the hospital.

(g) All the hardworking teachers in a school.

(h) All the prime numbers less than 100.

(i) All the letters in the word GEOMETRY.

Answers

Answer:

A. All the colors in the rainbow.

Step-by-step explanation:

I think.

simplify the product.
[tex]10\sqrt{12x^{3} } . 2\sqrt{6x^{5} }[/tex]
full calculations please!!

Answers

Answer:

[tex]120x^4\sqrt{2}[/tex]

Step-by-step explanation:

First we need to break down the numbers in the radicals into its factors

so

12= 3*2*2

x³=x*x*x

Which means we have

[tex]10\sqrt{3*2*2*x*x*x}=20x\sqrt{3x}[/tex]

and

[tex]2\sqrt{2*3*x*x*x*x*x} =2x^{2} \sqrt{6x}[/tex]

Because the radicand (the small number that goes up top) are the same we can just mulitply the two from here

which means we have

[tex](20x*2x^2)\sqrt{3x*6x}=40x^3\sqrt{18x^2} \\\sqrt{18x^2}=\sqrt{2*3*3*x*x} =3x\sqrt{2} \\=120x^4\sqrt{2}[/tex]

how many significant figures are in 2856.110​

Answers

‍♀️‍♀️‍♀️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Give the domain and range of each relation. Tell whether the relation is function. Explain. (GUYS I NEED HELP IDEK WHAT DOMAIN OR FUNCTION MEANS) pls help

Answers

Answer:

Domain: [0, 4]

Range: [0, 4]

Function? Yes

General Formulas and Concepts:

Algebra I

Domain is the set of x-values that can be inputted into function f(x) Range is the set of y-values that are outputted by function f(x) Vertical Line Test - no function can have the same x-value for different y-coordinates

Step-by-step explanation:

According to the graph, our x-values span from 0 to 4. Since both are closed dot, they are inclusive in the domain:

Interval Notation - [0, 4]

Inequality Notation - 0 ≤ x ≤ 4

According to the graph, our y-values span from 0 to 4. Since both are closed dot, they are inclusive in the range:

Interval Notation - [0, 4]

Inequality Notation - 0 ≤ x ≤ 4

Since we see that each x-value has a unique y-value and passes the vertical line test.

∴ the relation is a function.

URGENT HELP NEEDED SO PLS HELP

Answers

Answer:

1. 18π

2. 39.27cm

3. 4[tex]x^{5}[/tex][tex]z^{8}[/tex]

Izzy's Frozen Treats sells both frozen yogurt and frozen custard by the ounce. Last week, Marco noticed that a 3-ounce cup of frozen yogurt cost less than a 3-ounce cup of frozen custard. Marco has $5 to spend at Izzy's Frozen Treats today. Which can he buy more of, frozen yogurt or frozen custard?
A)frozen yogurt
B)frozen custard
plz show the work i really need help and this is Compare rates: word problems

Answers

Answer:

A. Frozen yogurt

Step-by-step explanation:

The frozen yogurt costs less than the frozen custard, even though you get the same amount (3 ounces)

No matter how much money Marco has, he would be able to buy more of the frozen yogurt because it has a cheaper unit rate.

So, the answer is A, frozen yogurt

Pls tell me where to put the points at!!

Answers

Answer:

it's either in between 1 and 2 or it is 2

Step-by-step explanation:

Find the value of x.
.
10
7

Answers

Answer:

X = 12.21

Step-by-step explanation:

Since this is a right triangle, use the formula A^2 + B^2 = C^2 and plug in appropriate values.

(10)^2 + (7)^2 = C^2

100 + 49 = C^2

149 = C^2

12.2065 = C

Rounded to two decimal places, this makes X equal to 12.21.

The required value of x is 12.21 for the given right triangle.

What is the right triangle?

A right triangle is defined as a triangle in which one angle is a right angle or two sides are perpendicular.

Pythagoras's theorem states that in a right-angled triangle, the square of one side is equal to the sum of the squares of the other two sides.

Since this is a right triangle, use the formula A² + B² = C² and substitute appropriate values.

(10)² + (7)² = x²

100 + 49 = x²

149 = x²

x = √149

x = 12.2066

Rounded to two decimal places,

x = 12.21

Therefore, the required value of x is 12.21.

Learn more about Pythagoras's theorem here:

brainly.com/question/343682

#SPJ2

evaluate 2-(-4) +(-and) where Y = 7.

Answers

Answer:

2-4=4+7=11 so that is the answer begginer

whoever guesses my birth month first gets the brainliest​

Answers

i’m guessing january

How many cups are in 4 gallons? With work!

Answers

Answer:

64 cups

Step-by-step explanation:

If 1 gallon is equal to 16 cups then 4 gallons will be 16×4= 64

Hope that helps you!

6. Belle wants to find out the average of her test scores in Algebra. What is her average test score if she did 95, 88, 93, 80, 78, 82?​

Answers

Answer:

86

Step-by-step explanation:

add up all the scores then divide by the amount of test taken. total test score is 516, total test is 6 so 516÷6=86

I believe the answer is 86

Add all the numbers then divide the sum by 6

Suppose the ratio of Lev's age to Mina's age is $1 : 2$ and the ratio of Mina's age to Naomi's age is $3 : 4$. What is the ratio of Lev's age to Naomi's age? Give your answer in simplest form.

Answers

Answer:

3:8

Step-by-step explanation:

The ratio of Mina's age to Naomi's age is 3 : 4

Multiplying the above ratio by 2 = 6:8

The ratio of Lev's age to Mina's age is 1 : 2

Multiplying the above ratio by 3

= 3:6

Therefore, ratio of Lev's age to Naomi's age in simplest form.

= 3:8

Answer:

3:8

Step-by-step explanation:

Let L, M, and N stand for the three ages.

The given ratios tell us that

M = 2L

and

N = 4/3M.

Therefore,

N = 4/3 x 2L = 8/3L.

This means that Lev's and Naomi's ages are in the ratio 3:8.

Blue earns 5.5% commission working at Advian. If he sells $85,000 worth of goods during the quarter,
what is his commission?

Answers

Answer:

$4,675

Step-by-step explanation:

The commission is 5.5% of $85,000.

5.5% * $85,000 =

= 0.055 * $85,000

= $4,675

Answer:

$4675

Step-by-step explanation:

85,000 x .055 = 4,675

Hope that helps!

how do i calculate the range? {mean, median, mode, range} pls help ASAP
Also, can you tell me in the comments how to delete an answer or remove it?

Answers

Answer:

The anwer is below.

Step-by-step explanation:

To calculate mean a.k.a average of something is when you add all of the numbers in the set and then multiply by the number of numbers there were.

an example : 4, 5,6,7 = 4+ 5 + 6 + 7 + 3 = 25 divided by 5 ( the number of numbers there were ) which is 5 so the mean is 5

To calculate the median you have to organize the set of numbers from least to greatest choose the middle number and that's the median, If there is an even number of numbers in the set then you add the two middle numbers and divide it by 2.  

an example : 5,7, 8, 4 =  4, 5, 7 , 8 = the middle numbers = 5 + 7 = 12 divided by 2 = 6

To calculate the mode you have to see which numbers comes more often in the set of numbers, If there are two different numbers that come often even if one is higher include them in the mode.

An example - 5,6,6,6,6,7,7,7. The mode in this is 6 but 7 comes often to so if your teacher tells you to include more than one mode in these kinds of situation you include 7 or in general you don't have to

To calculate the range you choose the greatest and the lowest numbers and substract the highest to the lowest number in the set.

An example  5, 6, 7 , 9 , 8 = 9 ( the highest number in this set) - ( substraction) 5 ( the lowest number in this set) and 9 - 5 = 4 so the range is 4

Randy wanted to survey to determine the most preferred pet of the residents in his city.Which method of samplingBEST represents the most unbiased opinion?

Answers

Answer:

Survey 100 residents who have pets completely randomly

Step-by-step explanation:

The best sampling method would be to Survey 100 residents who have pets completely randomly. This would provide first-hand information from actual pet owners which would make the results valid. Also, by choosing the individuals to survey completely randomly it allows for the data to be unbiased and representative of the entire pet owner population in the city. This makes the data gathered completely unbiased and valid.

2. Determine the value of each variable for parallelogram INDY has diagonals that intersec at P.1P=3x DP = 6x - 2 NP = 3y and YP=7x-2,

Answers

Answer:

x = 2/3 and y = 8/9

Step-by-step explanation:

If a parallelogram INDY has diagonals that intersects at P, then O bisects ID and YN

Hence IP = PD and NP = YP

Given

IP=3x

DP = 6x - 2

NP = 3y and

YP=7x-2,

Substitute

3x = 6x-2

3x-6x = -2

-3x = -2

x = 2/3

x = 0.67

Also NP = YP

3y = 7x-2

3y = 7(2/3) - 2

3y = 14/3 - 2

3y = 14-6/3

3y = 8/3

9y = 8

y = 8/9

Hence x = 2/3 and y = 8/9

Write an equation in slope intercept form given m=2 and b=1

Answers

The equation in slope intercept form is y = 2x + 1

What is the volume of this rectangular prism?

Answers

Answer:

1cm³

Step-by-step explanation:

You do not need a calculator for this.

The formula for the volume of a rectangular prism is:

Length × Width × Height = Volume

If we substitute our numbers in:

5/4 × 4/3 × 3/5 = 1cm³

All you need to do is multiply across.

5 × 4 × 3 = 60

4 × 3 × 5 = 60

The numerator and denominator both equal 60. So the fraction would look like this if you were to keep it as a fraction.

60/60

(05.01)
Which equation can be used to calculate the area of the shaded triangle below? (5 points)
(Answers in photo)

Answers

Answer:

answer of the above given question is (c) 1/2(10*6)=30,as we know the area of the triangle is 1/2*base*height.So,we can directly find the area of the triangle.

Which property is used in the problem below?

2(x+4)=2x+8

Answers

Answer:

You would use the distributive property.

Step-by-step explanation:

2(x+4) = 2x+8

2x+8x = 2x+8

10x = 2x+8

10x - 2x = 2x-2x+8

8x = 8

8x/8 = 8/8

x = 1

x take away 5 is less than 8

Answers

What are you asking?

The width of a rectangle is x. Its length is 3x. How long is the diagonal of the rectangle? Express your answer in simplified radical form.

Answers

Answer:

square 3x which equals to 3x squared the square x which equals to x squared then add 3x squared to x squared to get 4x squared and then take the square root which equals to 4x

A billiard ball is struck by a cue. It travels 100 cm before ricocheting off a rail and traveling another 100 cm into a corner pocket. The angle between the path as the ball approaches the rail and the path after it strikes the rail is 45 degrees. How far is the corner pocket from where the cue initially struck the ball?

Answers

Answer:

76.53 cm

Step-by-step explanation:

From the question, the triangle formed has 2 sides and an included angle ;

Angle, θ = C = 45°

We use cosine rule :

Taking the side to find as c

a = 100 ; b = 100

From cosine rule :

c = sqrt(a² + b² - 2abCosC)

c = sqrt(100² + 100² - 2(100*100)Cos45

c = sqrt(10000 + 10000 - 20000 * 0.7071067)

c = sqrt(20000 - 14142.135)

c = sqrt(5857.865)

c = 76.536690

c = 76.53 cm

which of the following statements are true?

Answers

Answer:

A. C.

Step-by-step explanation:

is XYZ a right triangle if x=12 y=17 and z=20

Answers

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

[tex]\text{Is XYZ a right triangle if x = 12, y = 17, and z = 20?}[/tex]

[tex]\bold{Well, right\ angles\ usually\ equal\ to\ about\ approximately \ 90^\circ$}[/tex]

[tex]\bold{12(17)(20)}\\\bold{12(17)=204}\\\bold{204(20)=4,080}\\\bold{4,080\neq90^\circ$}\\\boxed{\boxed{\bold{\underline{NO}, because\ 4,080\ DOES\ NOT\ equal\ to\ to\ 90^\circ }}}\huge\checkmark[/tex]

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

~[tex]\frak{Amphitrite1040:)}[/tex]

Which graph shows a vertical translation of ƒ(x) up 5 units to give a new function g(x)?

Answers

I mist that one its not the first one

Step-by-step explanation:

Answer:

The correct answer is the last image...I just got it right on the quiz.

Step-by-step explanation:

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